Abstract
In this paper, a revised optimal homotopy asymptotic method (OHAM) is applied to derive an explicit analytical solution of the Falkner–Skan wedge flow problem. The comparisons between the present study with the numerical solutions using (fourth order Runge–Kutta) scheme and with analytical solution using HPM-Padé of order [4/4] and order [13/13] show that the revised form of OHAM is an extremely effective analytical technique.
Highlights
In the last few decades, the problems that consist of nonlinear terms have grabbed the interest of many researchers because of its challenging to handle
Due to the fact that, many nonlinear problems do not have a small parameter, so this is what has confined many analytical techniques, among which we have a perturbation technique, and other traditional methods which require the presence of a small parameter in the equation (Nayfeh and Mook 1979)
Hayat et al (2011) studied the porous medium and mixed convection of Falkner– Skan wedge flow of a power-law fluid using homotopy analysis method (HAM), their results show that dimensionless velocity distribution decreases with the increase in Pr
Summary
In the last few decades, the problems that consist of nonlinear terms have grabbed the interest of many researchers because of its challenging to handle. Abbasbandy and Hayat (2009) studied the solution of the magnetohydrodynamic (MHD) Falkner–Skan flow by homotopy analysis method (HAM) They found that the value of skin friction increases with the increase of magnetic field parameter, while the boundary layer thickness decreases. Analytical solutions of momentum and heat transfer of the Falkner–Skan flow with algebraic decay have been studied by Fang et al (2012) They observed that the value of the flow controlling parameter, b decreases with the decrease of the wall movement parameter, λ. Hayat et al (2011) studied the porous medium and mixed convection of Falkner– Skan wedge flow of a power-law fluid using HAM, their results show that dimensionless velocity distribution decreases with the increase in Pr. It was observed that the velocity profile increases when the Reynolds number, Re is increased. Many researchers devoted themselves on investigating the problem of Falkner–Skan flow (Kuo 2005; Pantokratoras 2006; Ishak et al 2009; Zhu et al 2009; Rosales-Vera and Valencia 2010; Hsiao 2011; Yacob et al 2011; Parand et al 2011; Abdulhameed et al 2015)
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