Eur. Phys. J. Plus (2016) 131: 214
https://doi.org/10.1140/epjp/i2016-16214-4

Regular Article

Thermophoresis and Brownian effects on the Blasius flow of a nanofluid due to a curved surface with thermal radiation

¹ Department of Mathematics, The Islamia University of Bahawalpur, 63100, Bahawalpur, Pakistan
² Department of Mathematics and Statistics, International Islamic University, 44000, Islamabad, Pakistan

^* e-mail: rana.m.naveed@gmail.com

Received: 15 December 2015
Revised: 22 April 2016
Accepted: 24 May 2016
Published online: 27 June 2016

Abstract

In this analysis, we have discussed the Blasius flow of a nanofluid over a curved surface coiled in a circle of radius R . The physical situation is formulated in a mathematical model using a curvilinear coordinates system. The model is considered for the nanofluid including the effects of Brownian motion and thermophoresis in the presence of thermal radiation. A similarity solution of the developed ordinary differential equations is obtained numerically using the shooting method. The influence of the various involved parameters on the flow phenomena are analyzed through graphs and tables.