Eur. Phys. J. Plus (2017) 132: 147
https://doi.org/10.1140/epjp/i2017-11417-9

Regular Article

MHD Oldroyd-B fluid flow across a melting surface with cross diffusion and double stratification

¹ Department of Mathematics, VIT University, Vellore-632014, Tamil Nadu, India
² Department of Mathematics, Acharya Nagarjuna University, 523 001, Ongole, India

^* e-mail: mgrmaths@gmail.com

Received: 4 January 2017
Accepted: 20 February 2017
Published online: 27 March 2017

Abstract

In this study, we analyzed the Oldroyd-B flow across a horizontal melting surface with cross-diffusion and double stratification (thermal and solutal) effects. We reconstructed the controlling equations as a group of nonlinear ODEs and solved by employing the RK-based shooting technique. The influence of important specifications on the three common profiles (velocity, temperature and concentration) is discussed through the plots. Tables are utilized to discuss the heat and mass transfer rates. We verified that the thermal stratification improves the heat transfer rate. Cross diffusion regulates the concentration and thermal fields.