Temperature Profiles of Local Thermal Nonequilibrium for Thermal Developing Forced Convection in a Porous Medium Parallel Plate Channel
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摘要: 研究了多孔介质平板通道中,Darcy流体发展传热强迫对流非局部热平衡下,固相骨架和孔隙流体的温度分布特征.考虑流体流动方向的热传导以及固相和流相相互作用的粘性耗散,根据非局部热平衡的两能量方程模型,得到了常壁温度时多孔介质固相骨架温度和孔隙流体温度的解析解.证明了当两相间的热交换系数趋于无穷大时,两能量方程的温度解趋于局部热平衡时一能量方程的温度解.针对不同的无量纲参数,给出了固相和流相的温度分布状态,通过参数研究,揭示了非局部热平衡强迫对流时温度对无量纲参数的依赖关系.Abstract: Based on the two energy equation model,taking into account viscous dissipation due to the interaction between solid skeleton and pore fluid flow,temperature expressions of the solid skeleton and pore fluid flow were obtained analytically for the thermally developing forced convection in a saturated porous medium parallel plate channel,with walls being at constant temperature.It was proved that the temperatures of the two phases for the local thermal nonequilibrium will approach the temperature derived from the one-energy equation model for the local thermal equilibrium when the heat exchange coefficient goes to infinite.The temperature profiles were shown in figures for different dimensionless parameters and the effects of the parameters on the local thermal nonequilibrium is revealed by the parameter study.
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