Melting heat transfer effects on stagnation point flow of micropolar fluid saturated in porous medium with internal heat generation (absorption)

M. A. A. MAHMOUD;S. E. WAHEED

doi:10.1007/s10483-014-1840-7

2014 , Vol. 35 >Issue 8: 979 - 992

DOI: https://doi.org/10.1007/s10483-014-1840-7

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Melting heat transfer effects on stagnation point flow of micropolar fluid saturated in porous medium with internal heat generation (absorption)

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1. Department of Mathematics, Faculty of Science, Benha University 13518, Benha, Egypt;
2. Department of Mathematics and Statistic, Faculty of Science, Taif University 21974, Taif, Kingdom of Saudi Arabia

Received date: 2013-10-08

Revised date: 2014-01-20

Online published: 2014-08-01

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Abstract

The effect of melting heat transfer on the two dimensional boundary layer flow of a micropolar fluid near a stagnation point embedded in a porous medium in the presence of internal heat generation/absorption is investigated. The governing non-linear partial differential equations describing the problem are reduced to a system of nonlinear ordinary differential equations using similarity transformations solved numerically using the Chebyshev spectral method. Numerical results for velocity, angular velocity and temperature profiles are shown graphically and discussed for different values of the inverse Darcy number, the heat generation/absorption parameter, and the melting parameter. The effects of the pertinent parameters on the local skin-friction coefficient, the wall couple stress, and the local Nusselt number are tabulated and discussed. The results show that the inverse Darcy number has the effect of enhancing both velocity and temperature and suppressing angular velocity. It is also found that the local skin-friction coefficient decreases, while the local Nusselt number increases as the melting parameter increases.

Key words： melting effect; stagnation point; micropolar fluid; porous medium; heat generation (absorption)

Cite this article

M. A. A. MAHMOUD;S. E. WAHEED . Melting heat transfer effects on stagnation point flow of micropolar fluid saturated in porous medium with internal heat generation (absorption)[J]. Applied Mathematics and Mechanics, 2014 , 35(8) : 979 -992 . DOI: 10.1007/s10483-014-1840-7

References

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