Eur. Phys. J. Plus (2017) 132: 321
https://doi.org/10.1140/epjp/i2017-11576-7

Regular Article

Shape effects of nanoparticles on the squeezed flow between two Riga plates in the presence of thermal radiation

¹ Department of Mathematics, Faculty of Sciences, HITEC University Taxila Cantt, Taxila, Pakistan
² Department of Mathematics, Mohi-ud-Din Islamic University, Nerian Sharif, Azad Jammu and Kashmir, Pakistan
³ Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
⁴ Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan

^* e-mail: umarkhan@ciit.net.pk

Received: 10 February 2017
Accepted: 29 May 2017
Published online: 24 July 2017

Abstract

This paper aims to explore the flow of water saturated with copper nanoparticles of different shapes between parallel Riga plates. The plates are placed horizontally in the coordinate axis. Influence of the linear thermal radiation is also taken into account. The equations governing the flow have been transformed into a nondimensional form by employing a set of similarity transformations. The obtained system is solved analytically (variation-of-parameters method) and numerically (Runge-Kutta scheme). Under certain conditions, a special case of the model is also explored. Furthermore, influences of the physical quantities on velocity and thermal fields are discussed with the graphical aid over the domain of interest. The quantities of engineering and practical interest (skin friction coefficient and local rate of heat transfer) are also explored graphically.