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HomeDefect and Diffusion ForumDefect and Diffusion Forum Vol. 387Spectral Relaxation Method for Powell-Eyring Fluid...

Spectral Relaxation Method for Powell-Eyring Fluid Flow Past a Radially Stretching Heated Disk Surface in a Porous Medium

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Abstract:

In this study we use a spectral relaxation method to investigate heat transfer in axisymmetric slip flow of a MHD Powell-Eyring fluid over a radially stretching surface embedded in porous medium with viscous dissipation. The transformed governing system of nonlinear differential equations was solved numerically using the spectral relaxation method that has been proposed for the solution of nonlinear boundary layer equations. Results were obtained for the skin friction coefficient, the local Nusselt number as well as the velocity and temperature profiles for the same values of the governing physical and fluid parameters. Validation of the results was reached by the comparison with limiting cases from previous studies in the literature. We show that the proposed technique is an efficient numerical algorithm with assured convergence that serves as an alternative to common numerical methods for solving nonlinear boundary value problems. We show that the convergence rate of the spectral relaxation method is significant improved by using the method in conjunction with the successive over - relaxation method.

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Periodical:

Defect and Diffusion Forum (Volume 387)

Pages:

575-586

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.387.575

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Online since:

September 2018

Authors:

K. Gangadhar*, Rama Sobhana Babu Pasumarti, Oluwole Daniel Makinde

Keywords:

Heat Transfer, Porous Media, Powell-Eyring Fluid, Spectral Relaxation Method, Viscous Dissipation

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* - Corresponding Author

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