Darcy-Forchheimer flow with nonlinear mixed convection |
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Authors: | T HAYAT F HAIDER A ALSAEDI |
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Institution: | 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;2. Nonlinear Analysis and Applied Mathematics(NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
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Abstract: | An analysis of the mixed convective flow of viscous fluids induced by a nonlinear inclined stretching surface is addressed. Heat and mass transfer phenomena are analyzed with additional effects of heat generation/absorption and activation energy, respectively. The nonlinear Darcy-Forchheimer relation is deliberated. The dimensionless problem is obtained through appropriate transformations. Convergent series solutions are obtained by utilizing an optimal homotopic analysis method (OHAM). Graphs depicting the consequence of influential variables on physical quantities are presented. Enhancement in the velocity is observed through the local mixed convection parameter while an opposite trend of the concentration field is noted for the chemical reaction rate parameter. |
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Keywords: | Darcy-Forchheimer porous space nonlinear mixed convection viscous fluid heat generation/absorption activation energy optimal homotopic analysis method (OHAM) |
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