Heat flux performance in a porous medium embedded Maxwell fluid flow over a vertically stretched plate due to heat absorption

Volume 9, Issue 5, pp 2986--3001 http://dx.doi.org/10.22436/jnsa.009.05.91

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Authors

N. F. M. Noor - Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia. R. U. Haq - Department of Mathematics, Capital University of Science and Technology, Islamabad 44000, Pakistan. S. Abbasbandy - Department of Mathematics, Imam Khomeini International University, Ghazvin, 34149-16818, Iran. I. Hashim - School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia. - Research Institute, Center for Modeling & Computer Simulation (RI/CM&CS), King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia.

Abstract

Heat absorption and thermal radiation effects in a non-Newtonian fluid on a vertical stretching sheet with suspended particles are considered. The nonlinear partial differential equations are reduced to nonlinear ordinary differential equations via similarity approach. The equations are further solved using shooting- RK4 method and validated with homotopy-Padé solutions. Comparison between previous and present results revealed agreement up to five significant figures. The in uence of various parameters on the flow velocity, temperature and concentration are examined. The profiles of reduced skin friction coefficient, Nusselt number and Sherwood number against selected parameters are sketched and discussed. Streamlines of the flow for different Maxwell parameters are visualized too. It is proclaimed that the heat flux of the flow is uplifted as value of either heat absorption or thermal radiation is multiplied.

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Keywords

• Maxwell
• thermophoresis
• homotopy-Padé
• shooting
• heat absorption
• thermal radiation.

MSC

•  35Q30
•  76D10
•  80A20.

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