Volume 11, Issue 3
Chebyshev Spectral Method for Unsteady Axisymmetric Mixed Convection Heat Transfer of Power Law Fluid Over a Cylinder with Variable Transport Properties

J. Niu, L. Zheng, Y. Yang & C. Shu

DOI:

Int. J. Numer. Anal. Mod., 11 (2014), pp. 525-540

Published online: 2014-11

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  • 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.

  • Keywords

Unsteady mixed convection power law fluid temperature dependent fluid viscosity variable thermal conductivity Chebyshev spectral method

  • AMS Subject Headings

35K55 76A05 76M22 80A20

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-11-525, author = {}, title = {Chebyshev Spectral Method for Unsteady Axisymmetric Mixed Convection Heat Transfer of Power Law Fluid Over a Cylinder with Variable Transport Properties}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2014}, volume = {11}, number = {3}, pages = {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.}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/540.html} }
TY - JOUR T1 - Chebyshev Spectral Method for Unsteady Axisymmetric Mixed Convection Heat Transfer of Power Law Fluid Over a Cylinder with Variable Transport Properties JO - International Journal of Numerical Analysis and Modeling VL - 3 SP - 525 EP - 540 PY - 2014 DA - 2014/11 SN - 11 DO - http://dor.org/ UR - https://global-sci.org/intro/article_detail/ijnam/540.html KW - Unsteady mixed convection KW - power law fluid KW - temperature dependent fluid viscosity KW - variable thermal conductivity KW - Chebyshev spectral method AB - 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.
J. Niu, L. Zheng, Y. Yang & C. Shu. (1970). Chebyshev Spectral Method for Unsteady Axisymmetric Mixed Convection Heat Transfer of Power Law Fluid Over a Cylinder with Variable Transport Properties. International Journal of Numerical Analysis and Modeling. 11 (3). 525-540. doi:
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