Unsteady MHD Flow and Heat Transfer of Third-Grade Fluid with Variable Viscosity Between Two Porous Plates

Itishree Nayak; Ajit Kumar Nayak; Sudarsan Padhy

doi:https://doi.org/10.14445/22315373/IJMTT-V54P516

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 54 | Number 2 | Year 2018 | Article Id. IJMTT-V54P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P516

Unsteady MHD Flow and Heat Transfer of Third-Grade Fluid with Variable Viscosity Between Two Porous Plates

Itishree Nayak, Ajit Kumar Nayak, Sudarsan Padhy

Citation :

Itishree Nayak, Ajit Kumar Nayak, Sudarsan Padhy, "Unsteady MHD Flow and Heat Transfer of Third-Grade Fluid with Variable Viscosity Between Two Porous Plates," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 2, pp. 146-155, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P516

Abstract

Magneto-hydro-dynamic unsteady flow and heat transfer of a third grade fluid between two porous plates with variable viscosity has been investigated. The coupled non-linear partial differential equations governing the flow and heat transfer are reduced to a system of nonlinear algebraic equations using implicit finite difference scheme, and then the system is solved by using damped-Newton method. The effects of various physical parameters on the velocity and temperature field have been studied. One of the important observations obtained is that both velocity and temperature fields increase with an increase in the value of the variable viscosity parameter. The uniqueness of the developed method is that, it is valid for all values of elastic parameters whereas the earlier approximation methods like perturbation and power series methods are valid only for small values of elastic parameters. Further, unlike these methods, presented method does not require a repeated derivation of solution of the governing equation for every change in the boundary conditions.

Keywords

porous plates, third grade fluid, variable viscosity, Damped-Newton method, implicit finite difference scheme.

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