Finite Element Solution of Double-Diffusive Boundary Layer Flow of Viscoelastic Nanofluids Over a Stretching Sheet1

摘要

This paper deals with the double-diffusive boundary layer flow of non-Newtonian nanof- luid over a stretching sheet. In this model, where binary nanofluid is used, the Brownian motion and thermophoresis are classified as the main mechanisms which are responsible for the enhancement of the convection features of the nanofluid. The boundary layer equations governed by the partial differ- ential equations are transformed into a set of ordinary differential equations with the help of group the- ory transformations. The variational finite element method (FEM) is used to solve these ordinary dif- ferential equations. We have examined the effects of different controlling parameters, namely, the Brownian motion parameter, the thermophoresis parameter, modified Dufour number, viscoelastic parameter, Prandtl number, regular Lewis number, Dufour Lewis number, and nanofluid Lewis num- ber on the flow field and heat transfer characteristics. Graphical display of the numerical examine are performed to illustrate the influence of various flow parameters on the velocity, temperature, concen- tration, reduced Nusselt, reduced Sherwood and reduced nanofluid Sherwood number distributions. The present study has many applications in coating and suspensions, movement of biological fluids, cooling of metallic plate, melt-spinning, heat exchangers technology, and oceanography.