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Prandtl Number Effect of Mixed Convection Heat and Mass Transfer in a Triangular Enclosure with Heated Circular Obstacle

Received: 11 January 2016     Accepted: 2 February 2016     Published: 6 April 2016
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Abstract

The effect of Prandtl number of mixed convection heat and mass transfer in a triangular enclosure with heated and concentrated circular obstacle is analyzed by solving mass, momentum, energy and concentration balance equations. The left lower middle and right upper middle walls are kept at low temperature and concentration. All others wall are assumed to be adiabatic. The lower wall is moving in the +x direction and all others walls are maintained at no-slip condition. Moreover, Galerkin Weighted Residuals finite element method is applied to solve the governing equations. The study is performed for different values of Prandtl number, Richardson number and buoyancy ratio. A simple transformation is employed to transfer the governing equations into a dimensionless form. The result shows that at high Pr heat transfer rate increase rapidly and at low Pr it increases linearly with the increase of Ri. However, buoyancy ratio and Lewis number plays an important role for the flow, temperature and concentration fields.

Published in International Journal of Energy and Power Engineering (Volume 5, Issue 2)
DOI 10.11648/j.ijepe.20160502.13
Page(s) 39-47
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Mixed Convection, Circular Obstacle, Heat and Mass Transfer, Sliding Wall, Triangular Cavity

References
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[8] H. Salmun, Convection patterns in a triangular domain, Int. J. Heat Mass Transfer 38 (1995) 351–362.
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[10] M. A. Teamah, A. F. Elsafty, E. Z. Massoud, Numerical simulation of double-diffusive natural convective flow in an inclined rectangular enclosure in the presence of magnetic field and heat source, Int. J. Therm. Sci. 52 (2012) 161–175.
[11] H. T. Xu, Z. Y. Wang, F. Karimi, M. Yang, Y. W. Zhang, Numerical simulation of double diffusive mixed convection in an open enclosure with different cylinder locations, Int. Commun. Heat Mass Transfer 52 (2014) 33-45.
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[13] M. Hasanuzzamzn, M. M. Raahman, H. F. Oztop, N. A. Rahim, R. Saidur, Effects of Lewis number on heat and mass transfer in a triangular cavity, Int. Commun. Heat Mass Transfer 39 (2012) 1213-1219.
[14] Khalil Khanafer, Comparison of flow and heat transfer characteristics in a lid-driven cavity between flexible and modified geometry of a heated bottom wall, Int. J. Heat Mass Transfer 78 (2014) 1032–1041.
[15] Y. C. Ching, H. F. Oztop, M. M. Rahman, M. R. Islam, A. Ahsan, Finite element simulation of mixed convection heat and mass transfer in a right triangular enclosure, Int. Commun. Heat Mass Transfer 39 (2012) 689-696.
[16] S. Parvin, N. F. Hossain, Finite element simulation of MHD combined convection through a triangular wavy channel, Int. Commun. Heat Mass Transfer 39 (2012) 811-817.
[17] M. M. Rahman, M. A. Alim, M. M. A. Sarker, Numerical study on the conjugate effect of joule heating and magneto-hydrodynamics mixed convection in an obstructed lid-driven square cavity, Int. Commun. Heat Mass Transfer 37 (2010) 524-534.
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    Sayeda Fahmida Ferdousi, Md. Abdul Alim, Raju Chowdhury. (2016). Prandtl Number Effect of Mixed Convection Heat and Mass Transfer in a Triangular Enclosure with Heated Circular Obstacle. International Journal of Energy and Power Engineering, 5(2), 39-47. https://doi.org/10.11648/j.ijepe.20160502.13

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    ACS Style

    Sayeda Fahmida Ferdousi; Md. Abdul Alim; Raju Chowdhury. Prandtl Number Effect of Mixed Convection Heat and Mass Transfer in a Triangular Enclosure with Heated Circular Obstacle. Int. J. Energy Power Eng. 2016, 5(2), 39-47. doi: 10.11648/j.ijepe.20160502.13

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    AMA Style

    Sayeda Fahmida Ferdousi, Md. Abdul Alim, Raju Chowdhury. Prandtl Number Effect of Mixed Convection Heat and Mass Transfer in a Triangular Enclosure with Heated Circular Obstacle. Int J Energy Power Eng. 2016;5(2):39-47. doi: 10.11648/j.ijepe.20160502.13

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  • @article{10.11648/j.ijepe.20160502.13,
      author = {Sayeda Fahmida Ferdousi and Md. Abdul Alim and Raju Chowdhury},
      title = {Prandtl Number Effect of Mixed Convection Heat and Mass Transfer in a Triangular Enclosure with Heated Circular Obstacle},
      journal = {International Journal of Energy and Power Engineering},
      volume = {5},
      number = {2},
      pages = {39-47},
      doi = {10.11648/j.ijepe.20160502.13},
      url = {https://doi.org/10.11648/j.ijepe.20160502.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijepe.20160502.13},
      abstract = {The effect of Prandtl number of mixed convection heat and mass transfer in a triangular enclosure with heated and concentrated circular obstacle is analyzed by solving mass, momentum, energy and concentration balance equations. The left lower middle and right upper middle walls are kept at low temperature and concentration. All others wall are assumed to be adiabatic. The lower wall is moving in the +x direction and all others walls are maintained at no-slip condition. Moreover, Galerkin Weighted Residuals finite element method is applied to solve the governing equations. The study is performed for different values of Prandtl number, Richardson number and buoyancy ratio. A simple transformation is employed to transfer the governing equations into a dimensionless form. The result shows that at high Pr heat transfer rate increase rapidly and at low Pr it increases linearly with the increase of Ri. However, buoyancy ratio and Lewis number plays an important role for the flow, temperature and concentration fields.},
     year = {2016}
    }
    

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  • TY  - JOUR
    T1  - Prandtl Number Effect of Mixed Convection Heat and Mass Transfer in a Triangular Enclosure with Heated Circular Obstacle
    AU  - Sayeda Fahmida Ferdousi
    AU  - Md. Abdul Alim
    AU  - Raju Chowdhury
    Y1  - 2016/04/06
    PY  - 2016
    N1  - https://doi.org/10.11648/j.ijepe.20160502.13
    DO  - 10.11648/j.ijepe.20160502.13
    T2  - International Journal of Energy and Power Engineering
    JF  - International Journal of Energy and Power Engineering
    JO  - International Journal of Energy and Power Engineering
    SP  - 39
    EP  - 47
    PB  - Science Publishing Group
    SN  - 2326-960X
    UR  - https://doi.org/10.11648/j.ijepe.20160502.13
    AB  - The effect of Prandtl number of mixed convection heat and mass transfer in a triangular enclosure with heated and concentrated circular obstacle is analyzed by solving mass, momentum, energy and concentration balance equations. The left lower middle and right upper middle walls are kept at low temperature and concentration. All others wall are assumed to be adiabatic. The lower wall is moving in the +x direction and all others walls are maintained at no-slip condition. Moreover, Galerkin Weighted Residuals finite element method is applied to solve the governing equations. The study is performed for different values of Prandtl number, Richardson number and buoyancy ratio. A simple transformation is employed to transfer the governing equations into a dimensionless form. The result shows that at high Pr heat transfer rate increase rapidly and at low Pr it increases linearly with the increase of Ri. However, buoyancy ratio and Lewis number plays an important role for the flow, temperature and concentration fields.
    VL  - 5
    IS  - 2
    ER  - 

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Author Information
  • Department of Natural Science, Stamford University Bangladesh, Dhaka, Bangladesh

  • Department of Mathematics, Bangladesh University of Engineering & Technology, Dhaka, Bangladesh

  • Department of Natural Science, Stamford University Bangladesh, Dhaka, Bangladesh

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