摘要
本文研究了非牛顿流体在多孔介质内沿垂直等温平板的混合自然和强迫对流。以幂律型渗流规律和边界层近似为数学模型的主要理论依据,得到了问题的精确相似解和近似积分解。对于同向混合对流,近似解与相似解的误差只有3%;对于反向混合对流,两者之间的误差也不超过10%。本文还发现,流体的非牛顿特性对温度场、速度场及多孔介质内的流态转变范围等均有相当显著的影响。
This paper investigates combined free and forced convection of non-Newtonian fluids from a vertical isothermal plate embedded in a homogeneous porous medium. A mathematical model is developed based on the modified Darcy's law and boundary-layer approximations, and the exact similarity solution as well as integral solution are obtained. These two solutions agree within 3% for aiding flows and 10% for opposing flows. It is found that non-Nowtonian characteristics of fluids have appreciable influences on velocity profile, temperature distribution and flow regimes.
出处
《水动力学研究与进展(A辑)》
CSCD
北大核心
1991年第3期8-14,共7页
Chinese Journal of Hydrodynamics
关键词
非牛顿流体
多孔介质
混合对流
mixed convection, non-Newtonian fluid, porous media.