DOI: https://doi.org/10.14710/jfma.v4i2.11719

FREE CONVECTION FLOW OVER A HORIZONTAL POROUS FLAT PLATE WITH THE EFFECT OF MAGNETOHYDRODYNAMICS

*Mohammad Ghani orcid  -  School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P.R. China, and Faculty of Advanced Technology and Multidiscipline, Universitas Airlangga, Surabaya 60115, Indonesia, China

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Abstract

We are interested in study of the velocity (𝑓′) and temperature (πœƒ) profiles for fluid flow over the surface of porous flat plate with the effect of magnetohydrodynamics. The dimensional equations are first transformed into the non-dimensional equations. Then, we transform the non-dimensional equations into the similar equations using stream functions. The numerical results are based on the discretization of similar equations using the finite difference method of Keller-Box. Based on the numerical results, the velocity profiles (𝑓′) decrease when the viscoelastic parameter (𝐾), Prandtl number (π‘ƒπ‘Ÿ), magnetic parameter (𝑀), porosity parameter (𝑃) are increased. Moreover, the temperature profile (πœƒ) is increased when the viscoelastic parameter (𝐾) and magnetic parameter (𝑀) are increased. However, the temperature profile (πœƒ) decreases when Prandtl number (π‘ƒπ‘Ÿ) and porosity (𝑃) are increased.

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Keywords: magnetohydrodynamics; porosity; viscoelastic fluid; Prandtl number
Funding: No Supporting Agencies

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Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : EN
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  20. B. Widodo, X. Wen, and D.B. Ingham, (1997). β€œThe Free Surface Fluid Flow in Arbitary Shaaped in a Channel,” Journal Of Engineering Analysis with Boundary Element. Vol19, PP.299-308

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