Numerical Methods for Solving Energy Equations of Dilatant Fluid Flow
In this article, a steady heat transfer problem is investigated numerically by using power law model coupled with Zhengs model. Several efficient and robust methods are proposed to solve energy equations of dilatant fluids in a circular duct. Binomial formula and leastsquares approximation are introduced in the transformation of the nonlinear item of the thermal diffusivity into a reasonable linear one. The results are obtained by using the control volume technique based on the finite difference model coupled with the LU decomposition method. These algorithms are compared with each other and the transfer characteristics of different values of parameters are revealed in details.
numerical investigation dilatant fluids nonlinear binomial formula least-squares approximation
Botong Li Liancun Zheng Xinxin Zhang
Department of Mathematics and Mechanics, University of Science and Technology Beijing,Beijing, 10008 Department of Mathematics and Mechanics, University of Science and Technology Beijing,Beijing, 10008 Mechanical Engineering School,University of Science and Technology Beijing,Beijing, 100083, China
国际会议
黄山
英文
11-14
2010-05-28（万方平台首次上网日期，不代表论文的发表时间）