Analysis of Combined Convection in an Open Cavity under Constant Heat Flux Boundary Conditions and Magnetic Field Using Finite Element Method

  • A. Kalam International Islamic University Chittagong.
  • J. H. Munshi Hamdard University Bangladesh
  • M. Rahman Bangladesh University of Engineering and Technology
  • M. M. K. Chowdhury Bangladesh University of Engineering and Technology
Keywords: Temperature boundary conditions, Open cavity, Aspect ratio, Finite element methods.

Abstract

This study investigated the effects of the aspect ratio of the cavity for average fluid temperature at exit port, average Nusselt number, maximum temperature of the fluid in the domain, drag coefficient, isotherms and streamlines on behalf of different Hartmann numbers and Rayleigh numbers. Solution of governing equations of momentum and energy has been made by finite element technique. Above mentioned parameters such as an aspect ratio which is cavity height to cavity length change from Ar = 0.5 to 2 for different Rayleigh numbers and Hartmann numbers which change from Ra = 103 to 105 and Ha = 0 to 50 respectively. Prandtl number Pr = 7 and Reynolds number Re = 100 is fixed in this simulation. It is found that variation of the aspect ratio makes an important effect for higher values of Rayleigh numbers. Heat transfer enhances with increasing of aspect ratio. Increasing of Hartmann number decreases the heat transfer inside the cavity.

 

Keywords: Temperature boundary conditions; Open cavity; Aspect ratio; Finite element methods.

 

© 2014 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.

 

doi: http://dx.doi.org/10.3329/jsr.v6i2.14505

J. Sci. Res. 6 (2), 243-256 (2014)

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Author Biographies

A. Kalam, International Islamic University Chittagong.

Assistant Professor

Department of Business Adminestration

J. H. Munshi, Hamdard University Bangladesh

 

Lecturer, Department of Mathematics


M. Rahman, Bangladesh University of Engineering and Technology
Professor, Department of Mathematics
M. M. K. Chowdhury, Bangladesh University of Engineering and Technology
Professor, Department of Mathematics.
Published
2014-04-23
How to Cite
Kalam, A., Munshi, J. H., Rahman, M., & Chowdhury, M. M. K. (2014). Analysis of Combined Convection in an Open Cavity under Constant Heat Flux Boundary Conditions and Magnetic Field Using Finite Element Method. Journal of Scientific Research, 6(2), 243-256. https://doi.org/10.3329/jsr.v6i2.14505
Section
Section A: Physical and Mathematical Sciences