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MHD mixed convection slip flow in a vertical parallel plate microchannel heated at asymmetric and uniform heat flux

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Abstract

Developing steady laminar flow and mixed convection heat transfer of a Newtonian conducting fluid in an open-ended vertical parallel plate microchannel under the effect of a uniform magnetic field are numerically studied. The effects of the modified mixed convection parameter, \(\frac{{Gr}} {{Re}}\), the Hartmann number, M, the Knudsen number, Kn, and the heat flux ratio, rq, on the velocity and temperature profile are investigated. It is revealed that the velocity profile is strongly influenced by magnetic field. In fact, with an increase in the Hartmann number the velocity decreases for both Kn = 0 and 0.1 and for all mixed convection parameter values. The effect of magnetic force on the velocity profile is stronger, with respect to the temperature profile. In addition, with an increase in M, the slip velocity increases on both hot and cold walls for rq = 0 and rq = 1. It is observed that the friction factor coefficient has significant increases with an increase in the Hartmann number.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 891568311, Iran

    Mehdi Moslehi & Mohsen Saghafian

Authors
  1. Mehdi Moslehi
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  2. Mohsen Saghafian
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Corresponding author

Correspondence to Mohsen Saghafian.

Additional information

Recommended by Associate Editor Jun Sang Park

Mohsen Saghafian has received his Ph.D. on Thermoflluids in 2002. He is Associate Professor of Mechanical Engineeing on Thermofluids in Isfahan University of Technology, Isfahan, 891568311, Iran.

Mehdi Moslehi has received his Master of Science degree on Thermofluids in Isfahan University of Technology, Isfahan, 891568311, Iran.

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Moslehi, M., Saghafian, M. MHD mixed convection slip flow in a vertical parallel plate microchannel heated at asymmetric and uniform heat flux. J Mech Sci Technol 29, 5317–5324 (2015). https://doi.org/10.1007/s12206-015-0739-0

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  • DOI: https://doi.org/10.1007/s12206-015-0739-0

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