Eur. Phys. J. Plus (2016) 131: 440
https://doi.org/10.1140/epjp/i2016-16440-8

Regular Article

On scattering of a material over the Ostwald-de Waele fluid bed

¹ Department of Basic Sciences, Bahauddin Zakariya University, 60800, Multan, Pakistan
² Department of Applied Mathematics and Statistics, Institute of Space Technology, 44000, Islamabad, Pakistan

^* e-mail: salman.ahmad@ist.edu.pk

Received: 4 October 2016
Accepted: 22 November 2016
Published online: 23 December 2016

Abstract

We formulated mathematically, the scattering and sliding of a material (colloid, oil, gasoline etc.) over the Ostwald-de Waele fluid. Ostwald-de Waele fluid model is used to get a boundary value problem (BVP). This BVP comprises coupled nonlinear partial differential equations (PDEs). These PDEs are further transformed into an ordinary differential equation (ODE) under the stream of similarity transform for the high Reynolds number flow assumption. The developed similarity solution is validated. The influence of fluid speed and drag is observed to be intensified in the vicinity of interface.