Eur. Phys. J. Plus (2017) 132: 101
https://doi.org/10.1140/epjp/i2017-11338-7

Regular Article

Stefan blowing effects on MHD bioconvection flow of a nanofluid in the presence of gyrotactic microorganisms with active and passive nanoparticles flux

¹ Dept. of Basic Science, MCKV Institute of Engineering, Howrah-711204, West Bengal, India
² Dept. of Mathematics, A.B.N.Seal College, Cooch Behar, PIN-736101, West Bengal, India
³ Dept. of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India

^* e-mail: shibsankar.math@gmail.com

Received: 11 December 2016
Accepted: 6 January 2017
Published online: 28 February 2017

Abstract

The present paper investigates the effect of Stefan blowing on the hydro-magnetic bioconvection of a water-based nanofluid flow containing gyrotactic microorganisms through a permeable surface. Also we studied both actively and passively the controlled flux of nanoparticles and the effect of a surface slip at the wall. We adopt a similarity approach to reduce the leading partial differential equations into ordinary differential equations along with two separate boundary conditions (active and passive) and solve the resulting equations numerically by employing the RK-4 method through the shooting technique to perform the flow analysis. Discussions on the effect of emerging flow parameter on the flow characteristic are made properly through graphs and charts. We observed that the effects of the traditional Lewis number and suction/blowing parameter on temperature distribution and microorganism concentration are converse to each other. A fair result comparison of the present paper with formerly obtained results is given.