Darcy-Forchheimer flow with nonlinear mixed convection

doi:10.1007/s10483-020-2680-8

摘要/Abstract

摘要： 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.

关键词: Darcy-Forchheimer porous space, nonlinear mixed convection, viscous fluid, heat generation/absorption, activation energy, optimal homotopic analysis method (OHAM)

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.

Key words: Darcy-Forchheimer porous space, nonlinear mixed convection, viscous fluid, heat generation/absorption, activation energy, optimal homotopic analysis method (OHAM)

中图分类号:

76S05

T. HAYAT, F. HAIDER, A. ALSAEDI. Darcy-Forchheimer flow with nonlinear mixed convection[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(11): 1685-1696.

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