American Journal of Applied Mathematics

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MHD Convection Fluid Flow and Heat Transfer in an Inclined Microchannel with Heat Generation

Received: 29 April 2017    Accepted: 09 August 2017    Published: 22 September 2017
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Abstract

The problem of fully developed free convection flow of electrically conducting fluid in an inclined microchannel in the presence of transverse magnetic field and internal heat generation is investigated. The analytical solution for velocity profile and temperature profile have been obtained, considering the velocity slip and temperature jump conditions at the wall of the microchannel. The effect of different parameters involved in the problem on the velocity and temperature profile along with the skin friction parameter and Nusselt number has been discussed graphically.

DOI 10.11648/j.ajam.20170505.11
Published in American Journal of Applied Mathematics (Volume 5, Issue 5, October 2017)
Page(s) 124-131
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), 2024. Published by Science Publishing Group

Keywords

Magnetohydrodynamic (MHD), Free Convection, Heat Generation, Microchannel, Velocity Slip, Temperature Jump

References
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[12] A. J. Chamkha, A. M. Aly, “MHD Free Convection Flow of a Nanofluid past a Vertical Plate in the Presence of Heat Generation or Absorption Effects.” Chemical Engineering Communications, (2011), 198, 425-441.
[13] A. J. Chamkha, A. M. Rashad, Ch. Ram Reddy and P. V. Murthy, “Effect of Suction/Injection on Free Convection along a Vertical Plate in a Nanofluid Saturated Non-Darcy Porous Medium with Internal Heat Generation.” Indian Journal of Pure and Applied Mathematics, (2014), 45, 321-341.
[14] A. F. Khadrawi, A. Othman, M. A. Al- Nimr, “Transient free convection fluid flow in a vertical micro channel as described by the hyperbolic heat conduction Model,” Int. j. Thermophys., (200)5, 26, 1053-1056.
[15] Hasan Nihal Zaidi, Naseem Ahmad, MHD convection flow of two immiscible fluids in an inclined channel filled with heat generation/absorption, American j. Applied Mathematics, (2016), 4, 80-91.
[16] C. C. Wang, W. J. Chang, C. H. Dai, Y. T. Lin, K. S. Yang, “Effect of inclination on the convective boiling performance of a microchannel heat sink using HEF – 7100,” J. Experimental Thermal and fluid Science,( 2012), 36, 143-148,.
[17] Hartmann, J., “Hg-dynamics I Theory of the Laminar Flow of an Electrically Conductive Liquid in a Homogeneous Magnetic Field,” kgl Danskevidenskab Selkab Mat Fys Medd., (1937), 15.
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Author Information
  • Department of Basic Sciences, College of Preparatory Year, University of Hail, Hail, Kingdom of Saudi Arabia

  • Department of Mathematics, Jamia Millia Islamia, New Delhi, India

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    Hasan Nihal Zaidi, Naseem Ahmad. (2017). MHD Convection Fluid Flow and Heat Transfer in an Inclined Microchannel with Heat Generation. American Journal of Applied Mathematics, 5(5), 124-131. https://doi.org/10.11648/j.ajam.20170505.11

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    ACS Style

    Hasan Nihal Zaidi; Naseem Ahmad. MHD Convection Fluid Flow and Heat Transfer in an Inclined Microchannel with Heat Generation. Am. J. Appl. Math. 2017, 5(5), 124-131. doi: 10.11648/j.ajam.20170505.11

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    AMA Style

    Hasan Nihal Zaidi, Naseem Ahmad. MHD Convection Fluid Flow and Heat Transfer in an Inclined Microchannel with Heat Generation. Am J Appl Math. 2017;5(5):124-131. doi: 10.11648/j.ajam.20170505.11

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  • @article{10.11648/j.ajam.20170505.11,
      author = {Hasan Nihal Zaidi and Naseem Ahmad},
      title = {MHD Convection Fluid Flow and Heat Transfer in an Inclined Microchannel with Heat Generation},
      journal = {American Journal of Applied Mathematics},
      volume = {5},
      number = {5},
      pages = {124-131},
      doi = {10.11648/j.ajam.20170505.11},
      url = {https://doi.org/10.11648/j.ajam.20170505.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajam.20170505.11},
      abstract = {The problem of fully developed free convection flow of electrically conducting fluid in an inclined microchannel in the presence of transverse magnetic field and internal heat generation is investigated. The analytical solution for velocity profile and temperature profile have been obtained, considering the velocity slip and temperature jump conditions at the wall of the microchannel. The effect of different parameters involved in the problem on the velocity and temperature profile along with the skin friction parameter and Nusselt number has been discussed graphically.},
     year = {2017}
    }
    

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    AB  - The problem of fully developed free convection flow of electrically conducting fluid in an inclined microchannel in the presence of transverse magnetic field and internal heat generation is investigated. The analytical solution for velocity profile and temperature profile have been obtained, considering the velocity slip and temperature jump conditions at the wall of the microchannel. The effect of different parameters involved in the problem on the velocity and temperature profile along with the skin friction parameter and Nusselt number has been discussed graphically.
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