Numerical simulation of heat transfer problem for layered gypsum products exposed to fire

Abstract

The problem of heat transfer through layered material of gypsum board products exposed to fire is studied in the paper. This paper proposes a thermal nonlinear conductivity model in different gypsum product layers for foam gypsum plate (density 300kg·m-3) and gypsum board (density 1000 kg·m-3)with high temperatures. The specific heat and thermal conductivity coefficients depend on temperature. These types of connection are obtained using approximation by cubic splines. The 1-D nonlinearparabolic type partial differential equation (PDE), expressing the rate of the change of temperature in every layer, is derived for heat transfer. The approximation and calculation of corresponding initial boundary value problem is based on the Matlab solver “pdepe”. The results of calculations are presented for one, two and three layered environment. The results of calculations are compared with the experiments at the Faculty of Environment and Civil Engineering of the Latvia University of Life Sciences and Technologies.