Numerical treatment for MHD viscoelastic fluid flow with variable fluid properties and viscous dissipation

Abstract

Numerical and theoretical examinations of the viscous dissipation phenomenon on the viscoelastic fluid flow of type Walters’ liquid B model which is passing over a stretching sheet are described. The significance of both slip phenomenon and magnetic field in stimulating the heat transfer process is the main cause for considering them in this study. On the other hand, to gain high precision in our numerical study, some of fluid properties are assumed to depend on the fluid temperature. Since, both the viscosity and the conductivity of the fluid which are changing with temperature are taken into consideration, therefore, our obtained results are much more reliable than those the similar previous researches. In addition, this described physical problem is governed by three partial differential equations. After introducing suitable dimensionless variables, two differential equations are created: the first is of fourth order, whereas the second one is of second order. These two equations along with appropriate boundary conditions are then numerically solved via the shooting technique. Finally, in the light of the prominent outcomes, for both the viscoelastic and viscosity parameters growth, the enhancement of the sheet velocity is remarkable, whereas the drastically drop for the sheet velocity was observed for the magnetic parameter.