Magnetohydrodynamics Mixed Convection Around a Heat Conducting Horizontal Circular Cylinder in a Rectangular Lid-driven Cavity with Joule Heating

Authors

  • M. M. Rahman Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka-1000
  • M. A. Alim Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka-1000
  • M. K. Chowdhury Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka-1000

DOI:

https://doi.org/10.3329/jsr.v1i3.2597

Keywords:

Mixed convection, Finite element method, Cylinder diameter, Lid-driven cavity, Diffusion.

Abstract

In the present paper, a study of magnetohydrodynamic (MHD) mixed convection around a heat conducting horizontal circular cylinder placed at the center of a rectangular cavity along with joule heating has been carried out. Steady state heat transfer by laminar mixed convection has been studied numerically by solving the equations of mass, momentum and energy to determine the fluid flow and heat transfer characteristics in the cavity as a function of Richardson number, Hartmann number and the cavity aspect ratio. The results are presented in the form of average Nusselt number at the heated surface; average fluid temperature in the cavity and temperature at the cylinder center for the range of Richardson number, Hartmann number and aspect ratio. The streamlines and isotherms are also presented. It is found that the streamlines, isotherms, average Nusselt number, average fluid temperature and dimensionless temperature at the cylinder center strongly depend on the Richardson number, Hartmann number and the cavity aspect ratio.

Keywords: Mixed convection; Finite element method; Cylinder diameter; Lid-driven cavity; Hartmann number.

 

© 2009 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.

 

DOI: 10.3329/jsr.v1i3.2597               J. Sci. Res. 1 (3), 461-472 (2009)

 

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Author Biographies

M. M. Rahman, Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka-1000

M. M. Rahman

Department of Mathematics

Bangladesh University of Engineering and Technology (BUET), Dhaka-1000, Bangladesh

 

 

 

M. A. Alim, Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka-1000

M. A. Alim 

Department of Mathematics

Bangladesh University of Engineering and Technology (BUET), Dhaka-1000, Bangladesh

 

 

M. K. Chowdhury, Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka-1000

M. K. Chowdhury

Department of Mathematics

Bangladesh University of Engineering and Technology (BUET), Dhaka-1000, Bangladesh

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Published

2009-08-29

How to Cite

Rahman, M. M., Alim, M. A., & Chowdhury, M. K. (2009). Magnetohydrodynamics Mixed Convection Around a Heat Conducting Horizontal Circular Cylinder in a Rectangular Lid-driven Cavity with Joule Heating. Journal of Scientific Research, 1(3), 461–472. https://doi.org/10.3329/jsr.v1i3.2597

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Section

Section A: Physical and Mathematical Sciences