Eur. Phys. J. Plus (2016) 131: 409
https://doi.org/10.1140/epjp/i2016-16409-7

Regular Article

Bio-convection on the nonlinear radiative flow of a Carreau fluid over a moving wedge with suction or injection

¹ Department of Mathematics, VIT University, 632014, Vellore, India
² Department of Mathematics, GITAM University, 530045, Vishakhapatnam, India
³ Department of Mathematics, Hindustan College of Arts & Science, 641028, Coimbatore, India
⁴ Department of S&H, Sri Shakthi Institute of Engineering & Technology, Coimbatore, India

^* e-mail: sivaphd90@gmail.com

Received: 8 September 2016
Accepted: 31 October 2016
Published online: 23 November 2016

Abstract

In modern days, the mass transfer rate is challenging to the scientists due to its noticeable significance for industrial as well as engineering applications; owing to this we attempt to study the cross-diffusion effects on the magnetohydrodynamic nonlinear radiative Carreau fluid over a wedge filled with gyro tactic microorganisms. Numerical results are presented graphically as well as in tabular form with the aid of the Runge-Kutta and Newton methods. The effects of pertinent parameters on velocity, temperature, concentration and density of motile organism distributions are presented and discussed for two cases (suction and injection flows). For real-life application we also calculated the local Nusselt and Sherwood numbers. It is observed that thermal and concentration profiles are not uniform in the suction and injection flow cases. It is found that the heat and mass transport phenomenon is high in the injection case, while heat and mass transfer rates are high in the suction flow case.