Abstract
The boundary layer flow of a steady incompressible and visco-elastic fluid with short memory (obeying Walters’ B fluid model) passing over a hot vertical porous plate has been investigated in the presence of transverse magnetic field. The momentum and energy equations are reduced to couple non-linear partial differential equations along with the boundary conditions by using a suitable similarity transformation. These partial differential equations are transformed to a system of coupled non-linear ordinary differential equations by employing a perturbation technique. The system is solved by developing a suitable numerical procedure such as implicit finite difference scheme along with Newton’s linearization method. The computational results for the flow quantities have presented graphically for the effects of thermal radiation, viscous dissipation, heat generation/absorption, visco-elasticity, Hartmann number and the permeability parameter. Results demonstrated that Prandtl number has more pronouncing effect on the temperature distribution rather than the viscosity parameter as well as the thermal radiation parameter. Further the velocity gradient changes significantly due to the presence of temperature dependent variable viscosity.
Highlights
The mixed convection boundary layer flow of non-Newtonian fluid in the presence of strong magnetic field has wide range of application in nuclear engineering and industries
The boundary layer flow of a steady incompressible and visco-elastic fluid with short memory passing over a hot vertical porous plate has been investigated in the presence of transverse magnetic field
More investigation is required by considering the terms like magnetic field, heat source/sink, thermal radiation and variable viscosity
Summary
The mixed convection boundary layer flow of non-Newtonian fluid in the presence of strong magnetic field has wide range of application in nuclear engineering and industries. Singh and Gorla [15] carried out the boundary layer analysis of free convective flow of conducting Newtonian fluid over an infinite vertical porous plate In this investigation they studied the effect of viscous dissipation, Joule heating, thermal diffusion and Hall current. Taking into account the variable viscosity and thermal conductivity Mahanti and Gaur [18] put forwarded some interesting results on free convective flow and heat transfer due to heat sink along an isothermal vertical plate. In order to study the flow of viscoelastic fluids of longer relaxation time we consider Walters liquid B’ model and investigated the flow and heat transfer through a vertical porous plate in the presence of transverse magnetic field. Interesting effects of viscoelasticity, radiation parameter, variable viscosity, magnetic field and heat source are to be observed on account of fluid flow and heat transfer
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