¹Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083
²School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083
³Mathematics and Statistics, Southern Illinois University, Edwardsville IL 62026, USA
Heat Transfer for Power Law Non-Newtonian Fluids
ZHENG Lian-Cun1;ZHANG Xin-Xin2;LU Chun-Qing3
¹Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083
²School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083
³Mathematics and Statistics, Southern Illinois University, Edwardsville IL 62026, USA
Abstract: We present a theoretical analysis for heat transfer in power law non-Newtonian fluid by assuming that the thermal diffusivity is a function of temperature gradient. The laminar boundary layer energy equation is considered as an example to illustrate the application. It is shown that the boundary layer energy equation subject to the corresponding boundary conditions can be transformed to a boundary value problem of a nonlinear ordinary differential equation when similarity variables are introduced. Numerical solutions of the similarity energy equation are presented.
ZHENG Lian-Cun;ZHANG Xin-Xin;LU Chun-Qing. Heat Transfer for Power Law Non-Newtonian Fluids[J]. 中国物理快报, 2006, 23(12): 3301-3304.
ZHENG Lian-Cun, ZHANG Xin-Xin, LU Chun-Qing. Heat Transfer for Power Law Non-Newtonian Fluids. Chin. Phys. Lett., 2006, 23(12): 3301-3304.