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Mathematical Modeling of Heat Transfer in an Element of Combustible Plant Material When Exposed to Radiation from a Forest Fire

机译:森林火灾辐射燃烧植物材料元素中传热的数学建模

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摘要

The last few decades have been characterized by an increase in the frequency and burned area of forest fires in many countries of the world. Needles, foliage, branches, and herbaceous plants are involved in burning during forest fires. Most forest fires are surface ones. The purpose of this study was to develop a mathematical model of heat transfer in an element of combustible plant material, namely, in the stem of a herbaceous plant, when exposed to radiation from a surface forest fire. Mathematically, the process of heat transfer in an element of combustible plant material was described by a system of non-stationary partial differential equations with corresponding initial and boundary conditions. The finite difference method was used to solve this system of equations in combination with a locally one-dimensional method for solving multidimensional tasks of mathematical physics. Temperature distributions were obtained as a result of modeling in a structurally inhomogeneous stem of a herbaceous plant for various scenarios of the impact of a forest fire. The results can be used to develop new systems for forest fire forecasting and their environmental impact prediction.
机译:过去几十年的特点是世界上许多国家的森林火灾频率和烧毁区域的增加。针,叶子,分支和草本植物在森林火灾期间涉及燃烧。大多数森林火灾都是表面。本研究的目的是在可燃植物材料的元素中发育传热的数学模型,即在草本植物的茎中,当暴露于从表面森林火灾的辐射时。在数学上,通过具有相应初始和边界条件的非静止部分微分方程的系统描述了可燃植物材料元件中的传热过程。有限差分法用于求解该方程系统,与局部一维方法组合解决数学物理学的多维任务。作为在草本植物的结构性不均匀茎上建模的,获得温度分布,用于森林火灾影响的各种情况。结果可用于开发森林火灾预测及其环境影响预测的新系统。

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