Eur. Phys. J. Plus (2017) 132: 297
https://doi.org/10.1140/epjp/i2017-11572-y

Regular Article

Effects of lubricated surface in the oblique stagnation point flow of a micro-polar fluid

Department of Mathematics and Statistics, International Islamic University, 44000, Islamabad, Pakistan

^* e-mail: khalidmeh2012@gmail.com

Received: 3 February 2017
Accepted: 24 May 2017
Published online: 6 July 2017

Abstract

In this investigation, we have considered steady, two-dimensional, oblique flow of a micro-polar fluid towards a stagnation point over a lubricated plate. A power-law fluid is utilized for the purpose of lubrication. To derive the slip condition in the present flow situation, continuity of shear stress and velocity has been imposed at the fluid lubricant interface. The set of non-linear coupled ordinary differential equations subject to boundary conditions is solved by a powerful numerical technique called the Keller-box method. Some important flow features have been analyzed and discussed under the influence of slip parameter , the material parameter K, a free parameter and ratio of micro-rotation to the skin friction parameter n . The main purpose of the present article is to analyze the reduction in the shear stress and shift of stagnation point in the presence of lubrication as compared to the viscous fluid that may be beneficial during polymeric processing.