Eur. Phys. J. Plus (2017) 132: 96
https://doi.org/10.1140/epjp/i2017-11361-8

Regular Article

Numerical investigation of velocity slip and temperature jump effects on unsteady flow over a stretching permeable surface

¹ Department of Mathematics, Yazd University, Yazd, Iran
² Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, 4800 Cao An Rd., Jiading, 201804, Shanghai, China
³ ENN-Tongji Clean Energy Institute of Advanced Studies, Shanghai, China

^* e-mail: m.heydari@yazd.ac.ir

Received: 19 August 2016
Accepted: 22 January 2017
Published online: 24 February 2017

Abstract

In this paper, the boundary layer flow and heat transfer of unsteady flow over a porous accelerating stretching surface in the presence of the velocity slip and temperature jump effects are investigated numerically. A new effective collocation method based on rational Bernstein functions is applied to solve the governing system of nonlinear ordinary differential equations. This method solves the problem on the semi-infinite domain without truncating or transforming it to a finite domain. In addition, the presented method reduces the solution of the problem to the solution of a system of algebraic equations. Graphical and tabular results are presented to investigate the influence of the unsteadiness parameter A , Prandtl number Pr, suction parameter , velocity slip parameter and thermal slip parameter on the velocity and temperature profiles of the fluid. The numerical experiments are reported to show the accuracy and efficiency of the novel proposed computational procedure. Comparisons of present results are made with those obtained by previous works and show excellent agreement.