Transient MHD Flows Through an Exponentially Accelerated Isothermal Vertical Plate with Viscous Dissipation and Heat Source Embedded in a Porous Medium

Santhi Kumari Dharani Kota; Venkata Subrahmanyam Sajja; Perugu Mohana Kishore

doi:10.37934/arfmts.106.2.153166

Authors

Santhi Kumari Dharani Kota Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Guntur, A.P., India
Venkata Subrahmanyam Sajja Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Guntur, A.P., India
Perugu Mohana Kishore Department of Mathematics, Geethanjali Institute of Science and Technology, Nellore, A.P., India

DOI:

https://doi.org/10.37934/arfmts.106.2.153166

Keywords:

MHD, free convection, viscous dissipation, Galerkin Finite Element Method, exponentially accelerated plate

Abstract

In this article, an unsteady free convection flow of an incompressible viscous fluid past an exponentially accelerated isothermal vertical plate in the presence of the viscous dissipation and heat source is observed. The problem is governed by coupled nonlinear partial differential equations. Dimensionless equations of the problem have been solved numerically by the Galerkin finite element method. The effect of magnetic parameter M, Grashof number Gr, Eckert number Ec, time and an acceleration parameter ‘a’ on velocity, temperature fields are investigated through graphs. Skin friction coefficient is derived, discussed numerically.