Abstract
The bioconvection Magneto-Hydrodynamics (MHD) flow of nanofluid over a stretching sheet with velocity slip and viscous dissipation is studied. The governing nonlinear partial differential equations of the flow are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformation. These coupled ordinary differential equations are solved using fourth order Runge Kutta-Fehlberg integration method along with shooting technique. Solutions showing the effects of pertinent parameters on the velocity temperature, nanoparticles concentration, skin friction, Nusselt number and microorganism density are illustrated graphically and discussed. It is observed that there is enhancement of the motile microorganism density as thermal slip and Eckert number increase but microorganism density slip parameter have the opposite effect on the microorganism density. It is also found that an increase in Lewis number results in reduction of the volume fraction of nanoparticles and concentration boundary-layer thickness. Brownian motion, Nb and Eckert number, Ec decrease both local Nusselt number and local motile microorganism density but increases local Sherwood number. In addition, as the values of radiation parameter R increase, the thermal boundary layer thickness increases. Finally, thermophoresis parameter, Nt decreases both local Sherwood number, local Nuseselt number and local motile microorganism density. Comparisons of the present result with the previously published results show good agreement.
Highlights
The concept of boundary layer flow over a stretching sheet has many applications in mechanical, chemical engineering, etc
Our objective is to investigate the effect of thermophoresis and Brownian motion on the rate of heat transfer of a nanofluid over a stretching sheet with temperature and velocity slip
The present work is compared it with the works of Wubshet and Bandari, Anderson and Hayat et al [18,19,20]. (MHD flow and heat transfer over permeable stretching sheet with slip conditions)
Summary
The concept of boundary layer flow over a stretching sheet has many applications in mechanical, chemical engineering, etc. Quite a number of researches [1,2,3,4] have focused on flow on a stretching sheet with different properties in the presence of additional effects. The flow and heat transfer characteristics over a stretching sheet have important industrial applications, for instance, in the aerodynamic extrusion of polymer sheet from a die, in metallurgy, cooling of an infinite metallic plate in a cooling bath, cooling or drying of papers and in textile and glass fiber production. The rates of stretching and cooling have a significant influence on the quality of the final product with desired characteristics. The properties desired for the product of such process usually depend on two characteristics which are the cooling liquid used and the rate of stretching. Liquids of non-Newtonian characteristics with weak electrical conductivity can be chosen as a cooling
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