Oblique stagnation flow of Jeffery fluid over a stretching convective surface: Optimal solution

Abstract

Purpose

The present critical analysis has been performed to explore the steady stagnation point flow of Jeffery fluid toward a stretching surface, in the presence of convective boundary conditions. It is assumed that the fluid strikes the wall obliquely. The governing non-linear partial differential equations for the flow field are converted to ordinary differential equations by using suitable similarity transformations. Optimal homotopy analysis method (OHAM) is operated to deal the resulting ordinary differential equations. OHAM is found to be extremely effective analytical technique to obtain convergent series solutions of highly non-linear differential equations. Graphically, non-dimensional velocities and temperature profile are expressed. Numerical values of skin friction coefficients and heat flux are computed. The comparison of results from this paper with the previous existing literature authorizes the precise accuracy of the OHAM for the limited case. The paper aims to discuss these issues.

Design/methodology/approach

The governing non-linear partial differential equations for the flow field are converted to ordinary differential equations by using suitable similarity transformations. OHAM is operated to deal the resulting ordinary differential equations.

Findings

OHAM is found to be extremely effective analytical technique to obtain convergent series solutions of highly non-linear differential equations. Graphically, non-dimensional velocities and temperature profile are expressed. Numerical values of skin friction coefficients and heat flux are computed.

Originality/value

The comparison of results from this paper with the previous existing literature authorizes the precise accuracy of the OHAM for the limited case.

Citation

Mehmood, R., Nadeem, D.S. and Akbar, N. (2015), "Oblique stagnation flow of Jeffery fluid over a stretching convective surface: Optimal solution", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 25 No. 3, pp. 454-471. https://doi.org/10.1108/HFF-01-2014-0019