Mathematical simulation of heat transfer in surface soil layer at forest fire influence in three-dimension statement

Nikolay V Baranovskiy,Alexander E Nee,G V Kuznetsov,P A Strizhak,E E Bulba,A O Zhdanova

doi:10.1051/epjconf/20158201004

Abstract

Mathematical simulation of non-stationary conductive heat transfer in volume with the local centre of ignition is spent. Fields of temperatures during the different periods of time on soil section are obtained. The problem is considered in three-dimensional statement. It is used finite difference method to decision of a problem. Results of the comparative analysis of the decision of two-dimensional and three-dimensional models are presented.

Highlights

Mathematical model [1] is developed for research of pyrogenic influences on soil from forest fires [2, 3]
Mathematical modelling is given to methods not enough attention at the decision of such problems, as heat transfer in soil layers at influence of the local centres of ignition
Initial values of temperature of a surface of soil, air and soil layers were set on the basis of help data

Summary

Introduction

Mathematical model [1] is developed for research of pyrogenic influences on soil from forest fires [2, 3]. One of essential assumptions in that work is uses of one-dimensional model. Considered process of heat transfer has spatial character. It is necessary to notice, that such kind of research demands considerable resources and time, and in case of natural modelling of a fire, by an artificial burning out of forest fuels [6, 7], the requirement to safety precautions increases repeatedly. Mathematical modelling is given to methods not enough attention at the decision of such problems, as heat transfer in soil layers at influence of the local centres of ignition. The work purpose is numerical research of heat transfer process in soil layers at influence of the local centre of ignition in three-dimensional statement

Physical and mathematical statement

Results and discussion

Conclusion