Abstract

A numerical solution of transient laminar free convective heat and mass transfer in a viscoelastic fluid past a vertical cone in non-Darcian porous media in the presence of thermal radiation is presented. The Walters-B liquid model is employed to simulate medical creams and other rheological liquids encountered in biotechnology and chemical engineering. This rheological model introduces supplementary terms into the momentum conservation equation. The dimensionless governing equations of the flow are solved by an implicit finite difference scheme of Crank-Nicolson type. The velocity, temperature and concentration fields have been studied for the effect of radiation parameter, viscoelasticity parameter, Prandtl number, Schmidt number, buoyancy ratio parameter, Darcy number, Grashof number, Forchheimer number and semi vertical angle. The local skin friction, Nusselt number and Sherwood number are also presented and analyzed graphically. The numerical results are validated by comparisons with previously published work and are found to be in excellent agreement.

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