Eur. Phys. J. Plus (2017) 132: 205
https://doi.org/10.1140/epjp/i2017-11477-9

Regular Article

Internal friction between fluid particles of MHD tangent hyperbolic fluid with heat generation: Using coefficients improved by Cash and Karp

¹ Mirpur University of Science and Technology (MUST), 10250 (AJK), Mirpur, Pakistan
² Department of Mathematics, Quaid-i-Azam University, 44000, Islamabad, Pakistan

^* e-mail: taimoor_salahuddin@yahoo.com

Received: 21 January 2017
Accepted: 2 April 2017
Published online: 5 May 2017

Abstract

The present work examines the internal resistance between fluid particles of tangent hyperbolic fluid flow due to a non-linear stretching sheet with heat generation. Using similarity transformations, the governing system of partial differential equations is transformed into a coupled non-linear ordinary differential system with variable coefficients. Unlike the current analytical works on the flow problems in the literature, the main concern here is to numerically work out and find the solution by using Runge-Kutta-Fehlberg coefficients improved by Cash and Karp (Naseer et al., Alexandria Eng. J. 53, 747 (2014)). To determine the relevant physical features of numerous mechanisms acting on the deliberated problem, it is sufficient to have the velocity profile and temperature field and also the drag force and heat transfer rate all as given in the current paper.