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

摘要

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 lambda, the material parameter K, a free parameter beta 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.