Chebyshev Spectral Method for Unsteady Axisymmetric Mixed Convection Heat Transfer of Power Law Fluid over a Cylinder with Variable Transport Properties
Year: 2014
Author: J. Niu, L. Zheng, Y. Yang, C.-W. Shu
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 3 : pp. 525–540
Abstract
In this work, we study the unsteady axisymmetric mixed convection boundary layer flow and heat transfer of non-Newtonian power law fluid over a cylinder. Different from most classical works, the temperature dependent variable fluid viscosity and thermal conductivity are taken into account in highly coupled velocity and temperature fields. The motion of the fluid can be modeled by a time-dependent nonlinear parabolic system in cylindrical coordinates, which is solved numerically by using Chebyshev spectral method along with the strong stability preserving (SSP) third order Runge-Kutta time discretization. We apply the numerical solver to problems with different power law indices, viscosity parameter, thermal conductivity parameter and Richardson numbers, and compute up to the steady state. The numerical solver is checked by testing the spectral convergence of the numerical approximation to a smooth exact solution of the PDEs with source terms. Moreover, the combined effects of pertinent physical parameters on the flow and heat transfer characteristics are analyzed in detail.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2014-IJNAM-540
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 3 : pp. 525–540
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Unsteady mixed convection power law fluid temperature dependent fluid viscosity variable thermal conductivity Chebyshev spectral method.