Mathematical Modeling of Two Dimensional Flows of Nanofluid

Abstract

The flourishing advancement in the nano-technology and the thermal engineering, more concentration is required on the thermal properties of nanoparticles that grant numerous uses in technological, industrial and medical sciences. Significant applications of nano-materials incorporate enhanced convective transfer of heat, heat energy, transportation, electronic cooling, solar cells, textiles and automobile etc. On this end present work concerned with 2D, incompressible, steady and no slip condition on Jeffrey nanofluid containing microorganisms using a porous medium. Transfer of mass and heat flow is explained in the existence of viscous dissipation. Assuming similar flow exists, the PDEs are returned in the form of ODEs. The formulated differential system is solved numerically using bvp4c technique. Simulations are achieved for several values of embedded parameters which include thermophoretic parameter (Nt) and Brownian motion parameter (Nb). Parameter’s effects are considered in the mathematical model. The graphs for the velocity, concentration, microorganism, and temperature profiles are used to analyse the effects of many variables on the behaviour of fluid flows.