MHD flow and heat transfer of a micropolar fluid over a nonlinear stretching surface with variable surface heat flux and heat generation

An analysis has been carried out to study magnetohydrodynamic boundary layer flow and heat transfer of an electrically conducting micropolar fluid over a nonlinear stretching surface with variable wall heat flux in the presence of heat generation/absorption and a non-uniform transverse magnetic field. The governing system of partial differential equations is first transformed into a system of ordinary differential equations using similarity transformation. The transformed equations are solved numerically. Results for the dimensionless velocity, micro-rotation, and temperature profiles are displayed graphically delineating the effects of various parameters characterising the flow. The results show that the velocity profile decreases as the magnetic parameter and the velocity exponent increase, while it increases as the material parameter increases. The results show also that the temperature profile increases as the magnetic parameter, the velocity exponent, and the heat generation parameter increase. Furthermore, the temperature profile decreases as the material parameter, the heat absorption parameter, and the Prandtl number increase. Une analyse a ete realisee pour etudier magnetohydrodynamique ecoulement de couche limite et transfert de chaleur d'un conducteur electrique fluide micropolaire sur une surface s'etendant avec la chaleur paroi variable flux en presence de chaleur generation / absorption. Le systeme qui regit des equations aux derivees partielles est d'abord transforme en un systeme de equations differentielles ordinaires en utilisant similitude de transformation. Les equations sont resolues numeriquement. Resultats pour la vitesse sans dimension , micro-rotation et profils de temperature sont affiches graphique definissant les effets de divers parametres caracterisant l'ecoulement. Les resultats montrent que le profil de vitesse diminue a mesure que le champ magnetique parametres et l'exposant de la vitesse augmentent , alors qu'il augmente a mesure que les augmentations de parametres du materiau. L' resultats montrent egalement que le profil de temperature augmente a mesure que la parametre magnetique, l'exposant de vitesse et la generation de chaleur parametre augmentent. En outre, le profil de temperature diminue a mesure que la parametre du materiau, la chaleur parametre d'absorption et le nombre de Prandtl augmentent.

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