Eur. Phys. J. Plus (2017) 132: 550
https://doi.org/10.1140/epjp/i2017-11822-0

Regular Article

Numerical solution of chemically reactive non-Newtonian fluid flow: Dual stratification

¹ Department of Mathematics, Quaid-i-Azam University, 44000, Islamabad, Pakistan
² Department of Mathematics, Air University, PAF Complex E-9, 44000, Islamabad, Pakistan
³ Department of Mathematics, College of Sciences, University of Sharjah, 27272, Sharjah, United Arab Emirates
⁴ Department of Mathematics, Faculty of Basic Sciences, HITEC University Taxila, Taxila, Pakistan

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

Received: 10 October 2017
Accepted: 3 December 2017
Published online: 28 December 2017

Abstract

We have found that only a few attempts are available in the literature relatively to the tangent hyperbolic fluid flow induced by stretching cylindrical surfaces. In particular, temperature and concentration stratification effects have not been investigated until now with respect to the tangent hyperbolic fluid model. Therefore, we have considered the tangent hyperbolic fluid flow induced by an acutely inclined cylindrical surface in the presence of both temperature and concentration stratification effects. To be more specific, the fluid flow is attained with the no slip condition, which implies that the bulk motion of the fluid particles is the same as the stretching velocity of a cylindrical surface. Additionally, the flow field situation is manifested with heat generation, mixed convection and chemical reaction effects. The flow partial differential equations give a complete description of the present problem. Therefore, to trace out the solution, a set of suitable transformations is introduced to convert these equations into ordinary differential equations. In addition, a self-coded computational algorithm is executed to inspect the numerical solution of these reduced equations. The effect logs of the involved parameters are provided graphically. Furthermore, the variations of the physical quantities are examined and given with the aid of tables. It is observed that the fluid temperature is a decreasing function of the thermal stratification parameter and a similar trend is noticed for the concentration via the solutal stratification parameter.