MODIFICATION OF DIMENSIONALITIES OF COEFFICIENTS OF HEAT CONDUCTION, TEMPERATURE CONDUCTION AND DERIVATION OF FOURIER'S EQUATION OF UNSTEADY HEAT CONDUCTION

Problem statement. A study of building structure heating in case of fire requires solutions of theproblems of multilayer structure heating. Available analytical solutions of such problems are cumbersomemathematical formulae which are of little use for engineering practice.Results. New dimensionality of heat and temperature conduction coefficients is established by theauthor of the paper on the basis of modern concepts of heat transfer in solids. This dimensionalityreflects physical sense of the coefficients and enables the author to derive modified Fourier's equationof unsteady heat conduction. New technique for the calculation of multilayer structures heatingwas developed based on the obtained equation. The technique involves reduction of multilayerstructures to single-layer wall.Conclusions. High accuracy and efficiency of the method proposed are shown by the example ofcalculation of heating of two-layer wall reduced to single-layer wall by the comparison with numericalmethods and analytical calculations for single-layer wall.