{"id":2851,"date":"2020-03-24T11:02:46","date_gmt":"2020-03-24T08:02:46","guid":{"rendered":"https:\/\/jfsi.ru\/?p=2851"},"modified":"2020-03-24T23:02:09","modified_gmt":"2020-03-24T20:02:09","slug":"3-1-2020-baranovskiy_zakharevich","status":"publish","type":"post","link":"https:\/\/jfsi.ru\/en\/3-1-2020-baranovskiy_zakharevich\/","title":{"rendered":"Experimental modeling of spruce needles ignition by a carbonaceous particle heated to high temperatures"},"content":{"rendered":"<p style=\"text-align: left;\"><a href=\"https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/3-1-2020-Baranovskiy_Zakharevich.pdf\"><img loading=\"lazy\" class=\"size-full wp-image-1122 alignright\" src=\"https:\/\/jfsi.ru\/wp-content\/uploads\/2018\/10\/pdf.png\" alt=\"\" width=\"32\" height=\"32\" \/><\/a><\/p>\n<p><span style=\"font-family: times new roman, times, serif; color: #000000;\">Original Russian Text \u00a9 2019 N.V. Baranovskiy, A.V. Zakharevich, published in Forest Science Issues Vol. 2, No. 1, pp. 1-15<\/span><\/p>\n<p align=\"CENTER\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"><b>N.V. Baranovskiy<\/b><\/span><\/span><sup><span style=\"font-size: medium;\"><span lang=\"en-US\"><b>*<\/b><\/span><\/span><\/sup><span style=\"font-size: medium;\"><span lang=\"en-US\"><b>, A.V. Zakharevich<\/b><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Tomsk Polytechnic University<\/i><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Lenin Av., 30, Tomsk, 634050, Russian Federation<\/i><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><sup><span style=\"font-size: medium;\"><span lang=\"en-US\">*<\/span><\/span><\/sup><span style=\"font-size: medium;\"><span lang=\"en-US\">E-mail: firedanger@yandex.ru<\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Received 11 March 2019<\/span><\/span><\/span><\/p>\n<p lang=\"en-US\" align=\"CENTER\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\">Experemental modeling of spruce needles ignition<\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Forest fires occur as a result of natural and man-made causes. It is known that particles heated to high temperatures are a common source of high temperature. The purpose of the work is the physical simulation of the ignition of typical forest fuel (spruce needles) by a carbonaceous particle heated to high temperatures and the identification of the typical ignition conditions of forest fuel. Every year, field observations and collection of forest fuel samples for experimental studies are carried out in the Timiryazevskiy forestry of \u200b\u200bthe Tomsk Region. Typical forest fuel (spruce needles) is considered. The sources of heating during the ignition of forest fuel were simulated by the particles made of graphite in the shape of a parallelepiped with characteristic dimensions in three coordinate directions (14 mm, 8 mm, 8 mm). The weight of such a graphite particle was 1.3 g. Experiments were performed in the range of changes in the initial temperatures <\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>T<\/i><\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>0<\/i><\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\"> from 1113 K to 1273 K. Numerical analysis shows that at a low sedimentation height, the particle retains its heat content to the maximum and cools down only in the near-surface layers. Initially, the mechanism of ignition as a result of the action of a burning graphite particle was investigated. The physical mechanism of the ignition of the forest fuel layer is established when a carbonaceous particle heated to high temperatures falls out in a flameless mode. A series of experiments were carried out and the dependence of the ignition delay on the initial temperature of the particle was obtained. The analysis showed that the dependence of the ignition delay on the initial temperature of a particle can be approximated to a first approximation by a straight line. The obtained results can be used for the development and verification of mathematical models to simulate the ignition of forest fuel by the particle heated to high temperatures.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"><b>Key words:<\/b><\/span><\/span> <span style=\"font-size: medium;\"><span lang=\"en-US\"><i>forest fuel, mechanism, experimental modeling, ignition delay, particle, spruce<\/i><\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Forest fires occur due to natural and man-made causes (Hu and Zhou, 2014). The main natural cause is the impact of a cloud-to-ground lightning discharge, which results in the fragmentation of wood (Baranovskiy <\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">et al<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">., 2017). As a result, wood particles heated to high temperatures are formed. Such particles can fall onto a layer of forest fuel and cause it to ignite (Suzuki and Manzello, 2019). As a result, a surface forest fire occurs (Grishin, 1997). Another scenario corresponds to anthropogenic impacts when there are still fires left in the forested area (Yanko, 2005). When wood cracks in a fire, its small particles can move to a layer of forest fuel near the fire and cause ignition. As a result, the occurrence of a surface forest fire is possible. It should also be noted that the formation of such particles is possible directly during active forest fires (Manzello <\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">et al<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">., 2006). Subsequently, such particles, as a result of vertical and horizontal transport, can leave the forest fire zone and are transported to a distance of several hundred meters (Terebnev <\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">et al<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">., 2007). Then, such particles settle on a layer of forest fuel and cause a new fire. This is exactly how spotted forest fires occur (Grishin, 1981).<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">To develop next-generation systems for forecasting forest fire danger, it is necessary to take into account the physicochemical processes that occur when the layer of forest fuel is ignited. To identify the physical mechanism and carry out subsequent verification of such models, it is necessary to conduct experiments for the physical modeling of the ignition of typical forest fuel by a particle heated to high temperatures, which is a widespread source of high temperature.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">The aim of the research is the physical modeling of the ignition of typical forest fuel (spruce needles) by a carbonaceous particle heated to high temperatures and the identification of the ignition conditions for the typical forest fuel.<\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"><b>STUDY AREA<\/b><\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: small;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">The ecological system of forests of the Russian Federation occupies 1.2 billion hectares of territory and contains about 25% of the forest resources of the entire planet. Russian forests are not only an economic but also an important environmental resource, since the Russian Federation provides the annual carbon storage of 29 billion tons. The global processes of regulating the state of the environment, biodiversity, climate, and river flows are significantly affected by Russian forests (Kuznetsov et al., 2005).<\/span><\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: small;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">The Tomsk Region, especially its northern part, is a fairly typical forest-covered territory of the boreal zone. Through this example, a fairly general description of the conditions for the occurrence of fires is possible. The region has large forest resources. The land-forest fund occupies 90.5% of its entire territory. An area of \u200b\u200b17 million hectares is covered with tree species, including 9.9 million hectares of coniferous trees (Panevin, 2006). The main relief types within the Tomsk Region are the watershed plains and river valleys along with the hollows of the ancient runoff (Evseeva and Zemtsov, 1990). Dividing plains are represented by positive and negative morphostructures.<\/span><\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: small;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Forests of the region are located in the river basin. The Ob River is situated on an exceptionally flat territory with excess moisture and is of great environmental importance (Panevin, 2006). Relatively harsh climatic conditions determine the rather limited species composition of forests. The most common types of forest formers are common pine, Siberian cedar, Siberian spruce, Siberian fir, saggy and fluffy birch, Siberian aspen, and larch (Panevin, 2006; Gorina, 2008).<\/span><\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">The fire danger of the Tomsk Region forests is determined by the presence of a significant proportion of coniferous forests, developed high-temperature ground cover and hot, dry summers. The climate of the Tomsk Region is sharply continental of the boreal type (Gorina, 2008). In territories with a continental climate, conditions especially favorable for the occurrence of forest fires are created (Kurbatsky, 1964). Depending on weather conditions, all three peaks of seasonal incidence are expressed in the forests of the region: a spring wave of fires, summer steady fires and autumn fires (Panevin, 2006).<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">A feature of the forests of the Tomsk Region is the presence of combustible material in all stands. Mostly surface fires develop in the region (98.5%); 1.1% of incidents and 12.5% \u200b\u200bof the burned-out area are accounted for by crown fires, and underground fires occur even less frequently (Panevin, 2006). The share of fires caused by anthropogenic reasons is quite stable over the years, and fires from a lightning discharge are cyclical. Periods with massive thunderstorms give way to calmer fires. The combustibility of the region\u2019s forests also varies significantly over the months of the fire danger season. The most \u201cburning\u201d months are June and July. The duration of the fire danger season according to the weather conditions is from 137 to 161 days (Panevin, 2006). According to Rosleskhoz, the statistics of forest fires in the Tomsk Region suggests that approximately 200 forest fires are caused by anthropogenic factors and about 75 forest fires result from thunderstorm activity (as for 2016). Part of the fires arises as a result of the transition of agricultural burnings to forested areas.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Annually, field observations and collection of forest fuel samples for experimental studies are carried out in the Timiryazevskiy forestry of the Tomsk Region. The specified forestry of the Tomsk Forest Management is located between two large rivers (Ob and Tom) in the territory of three administrative districts of the Tomsk Region \u2013 Tomsky, Shegarsky, and Kozhevnikovsky. The length of the forestry territory from North to South is 64 km, from West to East 50 km. Forests of the forestry are mainly represented by a single forest, except for the isolated near-village pine forests of the settlements of Zorkaltsevo, Nizhne-Sechenovo, and Gubino (Matsenko <\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">et al<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">., 1999).<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">According to the forest vegetation zoning of Western Siberia, the territory of the Timiryazevskiy forestry of the Tomsk Region belongs to the zone of the southern taiga (the Ob-Tomsk pine and pine forest-growing district). According to the agroclimatic zoning of the Tomsk Region adopted by the Tomsk branch of Sibgiprozem, the forestry area is classified as a moderately humid area. The growing season is 120 days. The predominant main breed is pine (39.6%), aspen (26.2%) and birch (21.2%); cedar, larch, spruce, and fir account for 13% (Matsenko <\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">et al<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">., 1999). For several years, the former Kaltayskoye Forestry as the Kaltayskoye Local Forestry was part of the Timiryazevskiy forestry.<\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"><b>MATERIALS AND METHODS<\/b><\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">The experimental facility and methodology described in detail in (Zakharevich <\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">et al<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">., 2008; Kuznetsov <\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">et al<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">., 2008) were used. The experimental facility is illustrated in Figure 1. <\/span><\/span><\/span><\/p>\n<div id=\"attachment_2852\" style=\"width: 479px\" class=\"wp-caption aligncenter\"><img aria-describedby=\"caption-attachment-2852\" loading=\"lazy\" class=\"size-full wp-image-2852\" src=\"https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-1.jpg\" alt=\"Scheme of the experimental facility: 1 \u2013 heating device, 2 \u2013 tripod, 3 \u2013 chromel-alumel thermocouple, 4 \u2013 ceramic rod, 5 \u2013 temperature control device UKT38, 6 \u2013 metal particle, 7 \u2013 working surface of the experimental setup, 8 \u2013 fireproof platform, 9 \u2013 radiation detector and flame recorder, 10 \u2013 emitter, 11 \u2013 vertical glass cylindrical vessels, 12 \u2013 analog-to-digital converter (ADC), 13 \u2013 personal computer (Zakharevich et al., 2008; Kuznetsov et al., 2008).\" width=\"469\" height=\"248\" srcset=\"https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-1.jpg 469w, https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-1-150x79.jpg 150w, https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-1-300x159.jpg 300w\" sizes=\"(max-width: 469px) 100vw, 469px\" \/><p id=\"caption-attachment-2852\" class=\"wp-caption-text\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><strong>Figure 1<\/strong>. Scheme of the experimental facility: 1 \u2013 heating device, 2 \u2013 tripod, 3 \u2013 chromel-alumel thermocouple, 4 \u2013 ceramic rod, 5 \u2013 temperature control device UKT38, 6 \u2013 metal particle, 7 \u2013 working surface of the experimental setup, 8 \u2013 fireproof platform, 9 \u2013 radiation detector and flame recorder, 10 \u2013 emitter, 11 \u2013 vertical glass cylindrical vessels, 12 \u2013 analog-to-digital converter (ADC), 13 \u2013 personal computer (Zakharevich et al., 2008; Kuznetsov et al., 2008).<\/span><\/p><\/div>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">\u00a0<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">The sources of heating during forest fuel ignition were modeled by parallelepiped-shaped particles made of graphite with characteristic dimensions in three coordinate directions (14 mm, 8\u00a0mm, 8 mm). The weight of such a graphite particle was 1.3 g. The experiments were carried out in the initial temperature range T<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">0<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\"> from 1113 K to 1273 K. This range was chosen in order to single out, firstly, the lower ignition limits of the investigated forest fuel. The upper temperature limit was chosen based on the conditions of ignition of a graphite particle in the air (a burning particle upon precipitation onto the forest fuel layer always caused its ignition). Numerical analysis shows that at a low separation height, the particle retains its maximum heat content to the maximum and cools down only in the surface layers. The central massive part of the particle during the deposition period does not cool down regardless of the separation height. As a result of the sedimentation of such a particle on a layer of ground forest fuel at the contact point, heat will flow into the surface layers of forest fuel. At subsequent times, the thermal decomposition and gas-phase ignition of forest fuel layer can occur. As a result, a surface forest fire may occur (Grishin <\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">et al<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">., 1998; Podur <\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">et al<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">., 2003).<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">The experiments were carried out according to the classical plan with randomization due to the fact that up to now no mathematical model has been defined that describes the relationship between the delay time of forest fuel ignition and the initial temperature of a local heating source. At a constant value of T<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">0<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\">, 5\u20137 experiments were performed, the standard deviation and confidence intervals for determining t<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">ign<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\"> were calculated with a confidence probability of P=0.95 (Ventsel, 1999). The normal distribution of the measured quantity (ignition delay time) was assumed. The experiments were carried out with a group of graphite particles identical in size and manufacturing conditions. Before the experiments, heat treatment of heating sources in an induction furnace was carried out to \u201cburn\u201d volatile compounds. Each particle was used in only one experiment, because its state (shape, size, and the structure of the surface layers) changed after the experiment. These changes were generally insignificant, but the particles were not reused to reduce the errors in the studies performed.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">It should be noted that the carbonaceous particle ignition process is different from a similar process with a steel particle as a source of ignition. Single carbonaceous particles at high temperatures are characterized by a gasification process that occurs during the intense penetration of gas reagents through the porous structure of a particle (Vilensky and Khzmalyan, 1978; Golovina, 1983; Morell et al., 1990). That is, diffusion processes are important (it was shown (Samuilov et al., 2004) that diffusion phenomena have a significant influence on the gasification process for large particles and the transformation of components inside the particle, which leads to a change in the porous structure itself (Jones et al., 1999).<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">The type of global gasification reaction is as follows (Samuilov <\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">et al<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">., 2004): C + CO<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">2<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\"> \u2192 2CO. According to (Laurendau, 1978), this process involves a chain of reactions on the surface of pores:<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">C<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">f<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\">+CO<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">2<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\">\uf0ab<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">C(O)<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">L<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\">+CO,<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">C(O)<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">L<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\">\u2192C<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">f<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\">+CO,<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">C(O)<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">L<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\">\uf0ab<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">C(O)<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">S<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\">,<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">C(O)<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">S<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\">\u2192C<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">f<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\">+CO,<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">where C<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">f<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\">, C(O)<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">L<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\">, C(O)<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">S<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\"> are free active carbon centers, an oxygen atom connected to a carbon atom by a mobile ionic bond, and an oxygen atom forming a fixed carbonyl bond with a carbon atom, respectively. To date, new approaches to the study of the mechanism and laws of heterogeneous combustion and carbon gasification reactions have been developed (Golovina, 2002). If in the framework of the diffusion-kinetic theory of heterogeneous combustion and gasification of carbon, the laws of the process were judged by the behavior of only the gas phase, then now, along with the gas phase, changes in the solid phase are also taken into account. For this, the concept of active surface areas (ASAs) or, more broadly, reactive surface areas (RSAs) is introduced. The reactive surface is determined by the concentration of active carbon atoms, on which a carbon-oxygen complex is formed, which gives a gaseous product upon decomposition (Golovina, 2002; Lizzo <\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">et al<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">., 1990).<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">The preliminary placement of graphite particles in an induction furnace showed that in the temperature range 1113-1273 K, a graphite particle burned in a flame mode. The sedimentation of such a particle on the forest fuel layer also unambiguously leads to ignition. It is likely that the initial heating of a graphite particle is accompanied by the release of any volatile compounds that burn in the gas phase. The subsequent heating of the particle is not accompanied by the appearance of a flame around the particle. A series of preliminary experiments showed that a carbonaceous particle is characterized by its burnout over time. This can be explained by the processes of gasification of a carbonaceous particle considered above, as well as by the heterogeneous oxidation of carbon itself.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">The object of the study was the model layers of a typical forest fuel (spruce needles with branches), which were formed in a refractory cuvette by means of a random stacking of branches with needles in a uniform layer. The characteristics of forest fuel:<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">a) the needles in appearance are green with a slight gray-brown tint;<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">b) the needles and branches of the current collection are practically not decomposed;<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">c) pre-dried material;<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">d) the main fraction consisted of needles with a size of (1.5-2) cm in the longitudinal and (0.7-1.3)\u00a0mm in the transverse direction;<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">e) the fraction of twigs different from the main part of the needles was about 25%.<\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"><b>RESULTS AND DISCUSSION<\/b><\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">The following patterns of the process under study were established. Two options for the implementation of the ignition conditions are possible:<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">a) Initially, the mechanism of the occurrence of ignition as a result of the impact of a burning graphite particle was investigated. A carbonaceous particle, accompanied by a flame torch of combustion of volatile compounds, falls on the forest fuel layer, which is heated by three heat transfer mechanisms: conduction, convection, and radiation (most likely, convective and radiant transfer are the main ones in this ignition mechanism). Individual needles warm up and begin to thermally decompose with the release of gaseous pyrolysis products. The injection of gaseous combustible products and the ignition of forest fuel in the gas phase occurs. For the moment of ignition, the appearance of a second flame is characteristic (the first is formed as a result of the combustion of volatile products released by the particle). Then there is a combination of torches and the subsequent spread of flame along the forest fuel layer.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">b) Fig. 2 shows typical video footage of the process of forest fuel layer ignition by a carbonaceous particle heated to high temperatures (flameless mode). After the initial stage of a short period of inert heating of the forest fuel layer, the thermal decomposition of the material begins with the release of gaseous pyrolysis products. In the contact zone, the needles from the heterogeneous layer of forest fuel decompose almost completely with a small coke residue that falls on the substrate. Thin branches are thermally decomposed in a thin surface layer. In a porous forest fuel medium, gaseous pyrolysis products are filtered to the heated surface of the layer and mixed with an oxidizing agent, and the gas mixture is heated, followed by ignition. In most experiments, a flame torch formed over a heated particle.<\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">a<\/span><\/span><span style=\"font-size: medium;\">)<img loading=\"lazy\" class=\"aligncenter size-full wp-image-2854\" src=\"https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-2\u0430.jpg\" alt=\"\" width=\"720\" height=\"576\" srcset=\"https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-2\u0430.jpg 720w, https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-2\u0430-150x120.jpg 150w, https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-2\u0430-300x240.jpg 300w\" sizes=\"(max-width: 720px) 100vw, 720px\" \/><\/span><\/span><\/p>\n<p align=\"CENTER\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">b)<img loading=\"lazy\" class=\"aligncenter size-full wp-image-2853\" src=\"https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-2b.jpg\" alt=\"\" width=\"720\" height=\"576\" srcset=\"https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-2b.jpg 720w, https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-2b-150x120.jpg 150w, https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-2b-300x240.jpg 300w\" sizes=\"(max-width: 720px) 100vw, 720px\" \/><\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"><b>Figure 2.<\/b><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"> Typical video footage of the forest fuel ignition by a particle heated to high temperatures at different points in time: a) t=0.08 s \u2013 inert heating of the forest fuel layer; b) t=0.24 s \u2013 the appearance of a microtorch of flame.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Fig. 3 shows the dependence of the ignition delay on the initial particle temperature with confidence intervals. The lower ignition temperature limit is highlighted. Unlike pine litter, the studied sample was characterized by an ordered distribution of individual needles, thin branches and often a fixed distance between them. The structure of the sample was characterized by porosity due to the ordered structure of the needles, as well as a large pore space due to the morphology of spruce branches, which led to rather high values \u200b\u200bof the standard deviations of the measurement results t<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">ign<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\"> from the average values. Due to this, in each particular experiment from a series of experiments at the same initial temperature, the heat exchange conditions between the ignition source and the forest fuel layer also differed.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">An analysis of Fig. 3 shows that the dependence of the ignition delay on the initial particle temperature can be approximated, as a first approximation, by a straight line. However, a more qualitatively obtained experimental data describes a parabolic dependence. Earlier, a similar fact was established when studying the ignition processes of dry grass with a packing density corresponding to natural conditions. However, its further increase led to a linear dependence of the ignition delay on the initial temperature of the heated particle. The difference from the linear dependence was probably due to the non-identity of the processes of heat and mass transfer in a complex structurally inhomogeneous material. This is probably the reason for the deviation from the linear dependence in the case of studying spruce branches with needles. <\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" width=\"1024\" height=\"717\" class=\"size-large wp-image-2855\" src=\"https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-3-1024x717.jpg\" alt=\"\" srcset=\"https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-3-1024x717.jpg 1024w, https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-3-150x105.jpg 150w, https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-3-300x210.jpg 300w, https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-3-768x538.jpg 768w, https:\/\/jfsi.ru\/wp-content\/uploads\/2020\/03\/Fig-3.jpg 1550w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">\u00a0<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">It should be noted that the performed experimental studies showed the high stability of the ignition of forest fuel with multiscale porosity by a single carbonaceous particle heated to high temperatures. The development of the ignition process is fairly well demonstrated by the typical videogram of the experiment.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">It should be specially noted that the experimental values \u200b\u200bof t<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">ign<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\"> (Fig. 3) at T<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">0<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\"> 1273 K can be compared with the values \u200b\u200bof the ignition delay of a typical liquid fuel \u2013 kerosene under adequate heat exposure conditions (Zakharevich, 2008). For kerosene, t<\/span><\/span><sub><span style=\"font-size: medium;\"><span lang=\"en-US\">ign<\/span><\/span><\/sub><span style=\"font-size: medium;\"><span lang=\"en-US\"> is more than two times higher than the similar value for the litter of conifers. In this case, the lower limit values \u200b\u200bof the ignition temperatures of kerosene are almost 100 K higher than those shown in Fig. 3. The correlation between the characteristic ignition delays of the litter of coniferous trees and typical liquid fuels established by the experimental results is due to the peculiarities of heat and mass transfer in the heated layer and on the surface of these combustible substances under local thermal exposure. For example, the research results (Kuznetsov and Strizhak, 2008; Kuznetsov and Strizhal, 2009; Kuznetsov and Strizhak, 2009) show that when heating both films and large masses of liquid fuels, a significant part of the supplied heat energy is spent on an energy-intensive process of formation of fuel vapor. The heat of phase transition (the evaporation of any liquid fuel) is significantly (more than 10 times) higher than the heat spent on the gasification of forest fuel (thermal decomposition). Accordingly, a longer heating time of liquid fuel is required in comparison with forest fuel in order to initiate a chemical combustion reaction.<\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"><b>CONCLUSION<\/b><\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Additional experiments were conducted with a typical forest fuel of the Tomsk Region (spruce branches covered with needles), which showed the need for the further improvement of the mathematical models of forest fuel ignition by a local heating source. An analysis of the results shows that for forest fuel samples with large pore spaces, the linear dependence of the ignition delay time on the initial temperature of the heated particle is applicable only to a first approximation. At the next stage, an improved mathematical model of forest fuel ignition should be developed taking into account small and large pores in the forest fuel layer.<\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"><b>ACKNOWLEDGEMENTS<\/b><\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"> The study was supported by the Russian Foundation for Basic Research and the Administration of the Tomsk Region. Scientific project No. 16-41-700831.<\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"><b>REFERENCES<\/b><\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Baranovskiy N.V., Kuznetsov G.V., Nemova T.N., High temperature wood particles formation caused by the cloud-to-ground lightning discharge through the coniferous tree trunk,\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Far East Journal of Mathematical Sciences<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">, 2017, Vol. 102, pp. 1033-1044.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Evseeva I.S., Zemtsov A.A.,\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Rel\u2019yefoobrazovaniye v lesobolotnoy zone Zapadno-Sibirskoy ravniny\u00a0<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">(Relief formation in the forest-swamp zone of the Zapadno-Siberian plain), Tomsk: Publishing house Tom. 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Vol. 17, No. 4, pp. 28-30.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Kuznetsov G.V., Strizhak P.A., Nagretyye do vysokikh temperatur chastitsy metalla kak istochniki lokal\u2019nykh vozgoraniy zhidkikh veshchestv\u00a0(Metal particles heated to high temperatures as sources of local ignitions of liquid substances),\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Pozharnaya bezopasnost\u2019<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">, 2008, No. 4. pp. 72-76.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Kuznetsov G.V., Strizhak P.A., Modelirovaniye vosplameneniya zhidkogo veshchestva goryachey chastitsey (Simulation of the ignition of a liquid substance by a hot particle),\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Khimicheskaya fizika<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">, 2009, Vol. 28, No. 5, pp. 91-98.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Kuznetsov G.V., Strizhak P.A., 3D Problem of heat and mass transfer at the ignition of a combustible liquid by a heated metal particle,\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Journal of Engineering Thermophysics<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">, 2009, Vol. 18, No 1, pp. 72-79.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Kuznetsov V.I., Kozlov N.I., Khomyakov P.M.,\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Matematicheskoye modelirovaniye evolyutsii lesa dlya tseley upravleniya lesnym khozyaystvom<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">\u00a0(Mathematical modeling of forest evolution for forest management purposes), Moscow: LENAND, 2005. 232 p.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Kurbatskiy N.P.\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Pozhary taygi, zakonomernosti ikh vozniknoveniya i razvitiya<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">\u00a0(The Fires of the Taiga, the Patterns of Their Origin and Development): Author\u2019s abstract. diss. \u2026 doctor agricultural sciences \/ ILID SO of the USSR. Krasnoyarsk, 1964. 38 p.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Laurendau N.M., Heterogeneous kinetics of coal char gasification and combustion,\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Prog. Energy and Combust. Sci.<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">, 1978, Vol. 4, N<\/span><\/span><span style=\"font-size: medium;\">\u043e<\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">\u00a04., pp. 221-270.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Lizzo A., Hong J., Radovic R., On the kinetics of carbon (char) gasification: reconciling model with experiments,\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Carbon<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">, 1990, Vol. 28, No 1., pp. 7-19.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Matsenko V.V., Sokolov A.Ya., Kalinin S.I.,\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>General\u2019nyy plan protivopozharnogo ustroystva lesov<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">\u00a0(Master Plan for Fire Protection Plants), Vol. 1., Explanatory note, 5-99.14-17-PM \/ State Design and Survey Institute \u00abRosgiproles\u00bb, Altai branch. Barnaul, 1999, 139 p.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Manzello S.L., Cleary T.G., Shields J.R., Yang J.C., Ignition of mulch and grasses by firebrands in wildland-urban interface fires,\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>International Journal of Wildland Fire<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">, 2006, Vol. 15, pp. 427-431.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Morell J.I., Amundson N.R., Park S.K., Dynamics of a single particle during char gasification,\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Chem. Eng. Sci<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">. 1990, Vol. 45, No 2, pp. 387-401.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Panevin V.S.,\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Lesa i lesnoye khozyaystvo Tomskoy oblasti\u00a0<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">(Forests and Forestry of the Tomsk Region), Tomsk: Publishing house Tom. University, 2006, 126 p.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Podur J., Martell D. L., Csilagg F., Spatial patterns lightning-caused forest fires in Ontario 1976\u20131998,\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Ecological Modelling<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">, 2003, Vol. 164, No\u00a0l, pp.\u00a01-20.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Samuilov E.V., Faminskaya M.V., Golovina E.S., Model\u2019 i raschet protsessa gazifikatsii odinochnoy uglerodnoy chastitsy (Model and calculation of the process of gasification of a single carbon particle),\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Fizika goreniya i vzryva<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">, 2004, Vol. 40, \u2116 1. pp. 86-94.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Suzuki S., Manzello S.L., Investigating effect of wind speeds on structural firebrand generation in laboratory scale experiments,\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>International Journal of Heat and Mass Transfer<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">, 2019, Vol. 130, pp. 135-140.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Terebnev V.V., Artemyev N.S., Podgrushny A.V.,\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Protivopozharnaya zashchita i tusheniye pozharov. Kniga 5. Lesa, torfyaniki, lesosklady<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">, (Fire protection and extinguishing fires. Book 5. Forests, peatlands, forest stands), Moscow: Publishing house \u00abPozhnauka\u00bb, 2007. 358 p.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Ventsel E.S., <\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Teoriya veroyatnostey<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">\u00a0(Probability theory), Moscow: High school, 1999. 576 p.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Vilenskiy T.V., Khzmalyan D.M.,\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Dinamika goreniya pylevidnogo topliva<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">\u00a0(The dynamics of the combustion of pulverized fuel), Moscow: Energy, 1978. p.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Yanko I.V.,\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Pirologicheskaya otsenka territorii Tomskoy oblasti<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">\u00a0(Pyrological assessment of the territory of the Tomsk region). Diss. cand. geogr. sciences. Tomsk: Tomsk State Pedagogical University, 2005, 174 p.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Zakharevich A.V.,\u00a0<\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Zazhiganiye tverdykh i zhidkikh kondensirovannykh veshchestv odinochnymi nagretymi do vysokikh temperatur chastitsami<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">\u00a0(Ignition of solid and liquid condensed substances by single particles heated to high temperatures), Diss. cand. phys.-mat. sciences, Tomsk: TPU, 2008, 117 p.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Zakharevich A.V., Kuznetsov V.T., Kuznetsov G.V., Maksimov V.I., <\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Zazhiganiye model\u2019nykh smesevykh toplivnykh kompozitsiy odinochnoy nagretoy do vysokikh temperatur chastitsey<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"> (Ignition of Model Mixed Fuel Compositions of a Single Particle Heated to High Temperatures), <\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>Fizika goreniya i vzryva,\u00a0<\/i><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">2008, Vol. 44, No 5, pp. 54-57.<\/span><\/span><\/span><\/p>\n<p align=\"JUSTIFY\"><span style=\"font-family: times new roman, times, serif; color: #000000;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"><b>Reviewer:<\/b><\/span><\/span><span style=\"font-size: medium;\"><span lang=\"en-US\"> PhD in technology, <\/span><\/span><span lang=\"en-GB\">associate professor <\/span><span style=\"font-size: medium;\"><span lang=\"en-US\">Goman P.N.<\/span><\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Original Russian Text \u00a9 2019 N.V. Baranovskiy, A.V. Zakharevich, published in Forest Science Issues Vol. 2, No. 1, pp. 1-15 N.V. Baranovskiy*, A.V. Zakharevich Tomsk Polytechnic University Lenin Av., 30, Tomsk, 634050, Russian Federation&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[15],"tags":[],"_links":{"self":[{"href":"https:\/\/jfsi.ru\/en\/wp-json\/wp\/v2\/posts\/2851"}],"collection":[{"href":"https:\/\/jfsi.ru\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/jfsi.ru\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/jfsi.ru\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/jfsi.ru\/en\/wp-json\/wp\/v2\/comments?post=2851"}],"version-history":[{"count":7,"href":"https:\/\/jfsi.ru\/en\/wp-json\/wp\/v2\/posts\/2851\/revisions"}],"predecessor-version":[{"id":2977,"href":"https:\/\/jfsi.ru\/en\/wp-json\/wp\/v2\/posts\/2851\/revisions\/2977"}],"wp:attachment":[{"href":"https:\/\/jfsi.ru\/en\/wp-json\/wp\/v2\/media?parent=2851"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/jfsi.ru\/en\/wp-json\/wp\/v2\/categories?post=2851"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/jfsi.ru\/en\/wp-json\/wp\/v2\/tags?post=2851"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}