Magnetohydrodynamic free convection of non-Newtonian power-law fluids over a uniformly heated horizontal plate

Author:

Bahmani Alireza1,Kargarsharifabad Hadi2

Affiliation:

1. Department of Mechanical Engineering, Semnan Branch, Islamic Azad University, Semnan, Iran

2. Energy and Sustainable Development Research Center, Islamic Azad University, Semnan, Iran

Abstract

The MHD free convection flow of non-Newtonian power-law fluids over a horizontal plate subjected to a constant heat flux is studied. The results are presented for various values of the three influential parameters, i. e. the generalized Hart?mann number, the generalized Prandtl number, and the non-Newtonian power-law viscosity index. Increasing the Hartmann number increases the thermal boundary-layer thickness and the surface temperature and consequently decreases the wall skin friction and Nusselt number. A lower generalized Prandtl number results in a larger skin friction coefficient and higher wall temperature as well as thicker thermal boundary-layer. The viscosity index is predicted to influence the flow conditions depending on the value of generalized Hartmann number. At high generalized Prandtl number numbers, by decreasing non-Newtonian power-law index, the wall skin friction, temperature scale, and thermal boundary-layer thickness are increased and the Nusselt number is decreased, while the opposite trend is observed for low generalized Prandtl number. A general correlation for the Nusselt number is derived using the numerical results

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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