Application of the boundary layer flow and heat transfer over a flat plate using collocation method

Abstract

The aim of this article is to apply the collocation method for boundary layer in unbounded domain. The solution for velocity and temperature are computed by applying the collocation method. It does not need any perturbation, linearization, or small parameter versus homotopy perturbation method and parameter perturbation method. Also the determination of the auxiliary parameter and auxiliary function versus homotopy analysis method is not necessary. The use of a special technique to obtain solutions that are very close to the exact solution of the equation has been attempted. The idea is to transform the equations and boundary conditions into another set of variables. In comparison with previous studies, the solution shows that the results of the present method are in excellent agreement with those of the numerical methods. As an important result, it is depicted that approximation of the physical quantities f ′′(0) and θ′(0) are more accurate in comparison with those obtained using homotopy perturbation method. Also, the results reveal that this method is more suitable for solution of boundary layer problems with infinite boundary values.

Keywords

Boundary layer heat transfer nonlinear problems Howarth number unbounded domain collocation method

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