Effect of Elastic Deformation on Nano-Second Grade Fluid Flow Over a Stretching Surface

Abstract

The main aim of the present article is to investigate the elastic deformation effects on the boundary layer flow of an incompressible second grade twophase nanofluid model over a stretching surface in the presence of suction and partial slip boundary condition. The second grade nanofluid model with elastic deformation effects is investigated for the first time. The combined effects of elastic deformation, Brownian motion and thermophoresis are also analyzed for the first time. To analyses the heat transfer, heat and mass flux boundary conditions are considered. The governing boundary layer nonlinear partial differential equations are converted into a set of ordinary differential equations by means of similarity transformations. Numerical solutions are obtained using fourth order Runge-Kutta method together with shooting method. The combined effects of elastic deformation with other physical parameters on thermal field, solid volume fraction, skin friction coefficient, local Nusselt number and local Sherwood number are discussed graphically. It is found that the elastic deformation parameter enhances the local Nusselt number and decreases the local Sherwood number.

Approximate Analytical Expression for the Influence of Flow of MHD Nanofluids on Heat and Mass Transfer

“…In many engineering process with applications in industries such as extrusion, melt-spinning, heat rolling, and rubber sheet manufacturing, cooling of a large metal plate in a path that may be an electrolyte, this flow can be stretching in the surface these are the important issues. Kalaivanan et al, [1] investigated that the effect of elastic deformation on the boundary layer flows of nanofluid over a stretching surface in the presence of slip boundary condition. In the study of Vleggaar et al, [2] the polymers and filaments sheet are manufactured by continuous extrusion of the polymer from a die to a windup roller.…”