Numerical investigation of nanofluidic transport of gyrotactic microorganisms submerged in water towards Riga plate

This article is an investigation on effect of heat convection on nanofluid flow over a moving Riga plate of variable thickness. In the present study motile density of gyrotactic microorganisms submerged in nanofluid is also examined under the influence of bio-convection, mass flux and heat convection. The physical problem is mathematically modeled and obtained nonlinear system of partial differential equation. The obtained highly nonlinear system of coupled partial differential equations is converted into ordinary differential equations using suitable transformation. The highly nonlinear system is tackled numerically by means of implicit finite difference scheme Keller Box. Emphasis is given to the nanofluidic transport towards Riga plate in the presence of heat convection and mass flux condition. Influence of meaningful physical parameters of interest are examined and studied on fluid velocity, nanoparticle temperature and concentration along with motile microorganism density graphically. Reliability and efficiency of presented numerical scheme is validated by comparative tables. It is concluded that nanofluid velocity is an increasing function of microorganism concentration and modified magnetic parameter while it seems to decrease with increase in buoyancy ratio, Grashof number and wall thickness. (C) 2017 Elsevier B.V. All rights reserved.