多孔介质平板通道发展传热的强迫对流及其热应力分析

Thermally developing forced convection and the corresponding thermal stress in a porous plate channel

基于 Darcy 模型,考虑固相和流相相互作用的粘性耗散和流体流动方向的热传导效应,研究了半无限长多孔介质平板通道局部热平衡的热发展强迫对流及其热应力问题,给出了多孔介质温度、局部 Nusselt 数 Nu 和热应力等的 Fourier 级数解,并考察了多孔介质温度、应力分布等的特征．同时研究了 Péclet 数和 Brinkman 数对它们的影响．

Based on the Darcy model and taking into effect of viscous dissipation due to the interaction between solid skeleton and pore fluid flow and thermal conduction in the direction of the fluid flow, the thermally developing forced convection of the local thermal equilibrium and the corresponding thermal stress in a semi-infinite saturated porous plate channel are investigated in this paper. The expressions of the temperature, the local Nusselt number and the corresponding thermal stresses are obtained by means of the Fourier series, and the distributions of the temperature, Nusselt number, and thermal stress are shown. Furthermore, influences of the P^clet number and Brinkman number on temperature, Nusselt number and thermal stress are examined numerically.