Eur. Phys. J. Plus (2017) 132: 427
https://doi.org/10.1140/epjp/i2017-11679-1

Regular Article

A comparative study of nanofluids flow yields by an inclined cylindrical surface in a double stratified medium

¹ Department of Mathematics, Quaid-i-Azam University, 44000, Islamabad, Pakistan
² Faculty of Military Science, Stellenbosch University, Private X2, 7395, Saldanha, South Africa

^* e-mail: krehman@math.qau.edu.pk

Received: 9 May 2017
Accepted: 28 August 2017
Published online: 19 October 2017

Abstract

In this paper, we have considered both Newtonian and non-Newtonian nanofluids stagnation point flow towards an inclined cylindrical surface. The flow field is manifested with physical effects, namely thermal radiation, mixed convection, chemical reaction, temperature and concentration stratification, heat generation/absorption, magnetic field. The reduced system of ODEs is obtained by transforming flow narrating PDEs with the aid of appropriate transformation. A computational algorithm is executed to trace out the solution of an initial value problem. To be more specific, the effects of involved pertinent flow parameters are discussed for both = 0 (Newtonian fluid) and = 0.5 (non-Newtonian fluid). The non-Newtonian fluid reflects considerable variations towards flow parameters as compared to Newtonian fluid. Further, the compatibility of endpoint conditions is validated by providing stream lines pattern towards the velocities ratio parameter. In addition, the influence of Brownian motion and thermophoresis parameters are reported on mass and heat transfer rates by way of both straight line and parabolic curve fitting schemes. It is concluded that the heat transfer rate normal to the cylindrical surface is a decreasing function of both thermophoresis and Brownian motion parameters while the mass transfer rate admits inciting trends towards the Brownian motion parameter.