Exploration of dilatant nanofluid effects conveying microorganism utilizing scaling group analysis: FDM Blottner

Abstract

Biological transport in nanofluid is an essential new focus in fluid dynamics since the suspensions of microorganisms and nanoparticles proved to enhance the thermal conductivity of the fluid, which benefits many industrial applications for instances, biofuel cells and bio-microfluidics devices. In this regard, the present work is dedicated to investigating the effects of magnetohydrodynamics (MHD) and chemical reaction in the boundary layer flow, heat, mass and living microorganism transfer past a permeable stretching surface in a dilatant nanofluid. At the surface of the stretching sheet, there are multiple kinds of slips which affect the mechanisms within the vicinity of the boundary layer. The scaling group analysis has been performed to produce the appropriate similarity solution specifically for the present model. The governing boundary layer model in the form of the partial differential equations are reduced to a system of ordinary differential equations via similarity solutions to ease the computational process. The transformed mathematical model is then solved numerically via the Blottner's finite difference method (FDM). The presences of the velocity slip at the surface of the stretching sheet decelerated the fluid flow.