Title :
Numerical Methods for Solving Energy Equations of Dilatant Fluid Flow
Author :
Li, Botong ; Zheng, Liancun ; Zhang, Xinxin
Author_Institution :
Dept. of Math. & Mech., Univ. of Sci. & Technol. Beijing, Beijing, China
Abstract :
In this article, a steady heat transfer problem is investigated numerically by using power law model coupled with Zheng´s model. Several efficient and robust methods are proposed to solve energy equations of dilatant fluids in a circular duct. Binomial formula and least-squares 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.
Keywords :
finite difference methods; heat transfer; least squares approximations; pipe flow; thermal diffusivity; transforms; Binomial formula; LU decomposition method; Zheng model; circular duct; control volume technique; dilatant fluid flow; energy equation; finite difference model; least-squares approximation; nonlinear transformation; numerical method; power law model; steady heat transfer problem; thermal diffusivity; Ducts; Fluid flow; Heat transfer; Kinematics; Mathematical model; Mathematics; Mechanical engineering; Nonlinear equations; Temperature; Thermal conductivity; binomial formula; dilatant fluids; least-squares approximation; nonlinear; numerical investigation;
Conference_Titel :
Computational Science and Optimization (CSO), 2010 Third International Joint Conference on
Conference_Location :
Huangshan
Print_ISBN :
978-1-4244-6812-6
Electronic_ISBN :
978-1-4244-6813-3
DOI :
10.1109/CSO.2010.48
