Finite Element Analysis of Fully Developed Unsteady MHD Convection Flow in a Vertical Rectangular Duct with Viscous Dissipation and Heat Source/Sink

Naikoti Kishan; Balla Chandra Shekar

doi:10.6180/jase.2015.18.2.06

Finite Element Analysis of Fully Developed Unsteady MHD Convection Flow in a Vertical Rectangular Duct with Viscous Dissipation and Heat Source/Sink

Naikoti Kishan This email address is being protected from spambots. You need JavaScript enabled to view it.¹ and Balla Chandra Shekar¹

¹Department of Mathematics, Osmania University, Hyderabad, Telangana State, India

Received: November 13, 2014
Accepted: April 29, 2015
Publication Date: June 1, 2015

Download Citation: ||https://doi.org/10.6180/jase.2015.18.2.06

ABSTRACT

The combined effect of viscous and Ohmic dissipations on unsteady, laminar magneto convection fully developed flow in a vertical rectangular duct considering the effects of heat source/ sink is investigated. Finite element method based on Galerkin weighted residual approach is used to solve two dimensional governing momentum and energy equations for unsteady, magneto convection flow in a vertical rectangular duct. The investigations are conducted for the effects of various flow parameters such as buoyancy parameter N, Hartmann number M, aspect ratio A, circuit parameter E and heat source/sink parameter λ. The results indicate that the flow pattern and the temperature field are significantly dependent on the above mentioned parameters. It is shown that buoyancy parameter, Hartmann number and aspect ratio parameter increase both the velocity and temperature for open circuit (E ≠ 0) but decrease for short circuit (E = 0).

Keywords: MHD, Fully Developed, Rectangular Duct, Heat Source/Sink, Finite Element Method, Electric Field

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