IJERT-EMS
IJERT-EMS

Numerical Simulation of Hydromagnetic Convection in a Lid-driven Cavity Containing a Heat Conducting Elliptical Obstacle with Joule Heating


Numerical Simulation of Hydromagnetic Convection in a Lid-driven Cavity Containing a Heat Conducting Elliptical Obstacle with Joule Heating
Authors : Dipan Deb, Sajag Poudel, Abhishek Chakrabarti
Publication Date: 08-08-2017

Authors

Author(s):  Dipan Deb, Sajag Poudel, Abhishek Chakrabarti

Published in:   International Journal of Engineering Research & Technology

License:  This work is licensed under a Creative Commons Attribution 4.0 International License.

Website: www.ijert.org

Volume/Issue:   Volume. 6 - Issue. 08 , August - 2017

e-ISSN:   2278-0181

 DOI:  http://dx.doi.org/10.17577/IJERTV6IS080055

Abstract

The hydromagnetic mixed convection flow and heat transfer in a lid-driven square cavity is investigated numerically by using the finite volume method. A twodimensional vertical lid driven square enclosure with a centrally located heat conducting elliptical obstacle is adopted to simulate the steady, laminar and incompressible flow. Two different sizes of the obstacle are considered with an aim to enhance the heat transfer rate. The governing equations are solved by using the Semi-Implicit Method for Pressure Linked Equations (SIMPLE) algorithm. The left and right vertical walls of the cavity are kept isothermal at two different temperatures whereas both the top and bottom horizontal walls are thermally insulated from the surroundings. Furthermore, a uniform horizontal magnetic field is applied, perpendicular to the translating left lid. The investigations are carried out for a number of governing parameters such as the Hartmann Number, Reynolds Number, Richardson Number, Joule heating parameter and Prandtl Number. Two cases of translational lid movement, viz., vertically upwards and downwards are undertaken to study the conjugate heat transport process. The flow and thermal fields are analysed by means of streamline and isotherm plots.

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