旋转多孔层中非局部热平衡时黏弹性流体的热对流研究

THERMAL CONVECTION OF VISCOELASTIC FLUIDS IN A ROTATING POROUS LAYER USING A THERMAL NON-EQUILIBRIUM MODEL

本文研究了旋转多孔层中黏弹性流体在固相骨架和孔隙流体处于非局部热平衡下的自然对流特征,根据非局部热平衡的两能量方程模型,应用截断Galerkin展开得到了描述非局部热平衡下旋转多孔层中黏弹性流体流动和换热的常微分方程组,讨论了方程组的平衡点及稳定性,揭示了非局部热平衡下Nusselt数对无量纲参数的依赖关系。

Thermal convection of viscoelastic fluids saturating a rotating porous layer heated from below is analyzed using a thermal non-equilibrium model to take account of the interphase heat transfer between the fluid and the solid. An autonomous system with six differential equations is deduced by applying the truncated Galerkin expansion to the momentum and heat transfer equations. Equilibrium points and their stability are expressed as functions of a dimensionless heat capacity and of two relaxation parameters. Qualitative expressions of the Nusselt number when the system is out of equilibrium are also derived.