Investigation of a powerful analytical method into natural convection boundary layer flow. (English) Zbl 1221.76145

Summary: The natural convection boundary layer flow modeled by a system of nonlinear differential equations is considered. By means of similarity transformation, the non-linear partial differential equations are reduced to a system of two coupled ordinary differential equations. The series solutions of coupled system of equations are constructed for velocity and temperature using homotopy analysis method (HAM). Convergence of the obtained series solution is discussed. Finally some figures are illustrated to show the accuracy of the applied method and assessment of various prandtl numbers on the temperature and the velocity is undertaken.


76M25 Other numerical methods (fluid mechanics) (MSC2010)
76E06 Convection in hydrodynamic stability
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