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 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.