TITLE:
Effects of Rayleigh Number on MHD Heat Transfer and Fluid Flow in Two-Dimensional Open Square Cavity with Heat Generation
AUTHORS:
Sheikh Anwar Hossain, Mohammad Abdul Alim, Satrajit Kumar Saha
KEYWORDS:
Natural Convection, Rayleigh Number, Hartmann Number, MHD, Heated Cylinder, Open Cavity, Heat Flux
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.6 No.1,
February
23,
2016
ABSTRACT: The present work is
devoted to investigating heat transfer and fluid flow in a two dimensional
square open cavity containing a heated circular cylinder at the centre. A
constant heat flux is set at the left sidewall; high and low temperatures are
fixed at the bottom and top walls of the cavity respectively. The right side of
the cavity is open. Galerkin Weighted Residual Finite Element Analysis is used
to visualize the heat transfer and fluid flow solving two-dimensional governing
mass, momentum and energy equations for steady state, heat transfer and fluid
flow in presence of magnetic field in side an open square cavity. A uniformly
heated circular cylinder is placed at the centre of the cavity as a heat
source. To find the effects of Rayleigh number (Ra) on the thermal fields and
fluid flow in presence of magnetic field and a heated circular cylinder as heat
source by visualization and line graphs is the objective of this study.
Numerical results are presented in graphical and tabular form. The study is
conducted for different values of Rayleigh number, some fixed Hartmann numbers
(Ha) and heat flux (q). In the conclusion it has been observed that the temperature field and fluid flow pattern are functions of
the parameters Rayleigh number and Hartmann number.