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

Authors

  • 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

DOI:

https://doi.org/10.3329/jsr.v6i2.14505

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.

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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

Issue

Vol. 6 No. 2 (2014)

Section

Section A: Physical and Mathematical Sciences

License

© Journal of Scientific Research

Creative Commons License

Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.