MHD Flow of a Non-Newtonian Power Law through a Conical Bearing in a Porous Medium ()
Gamal M. Abdel-Rahman,
Aml M. Al-Hanaya
1Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt
2Department of Mathematics, Faculty of Science, Princess Norah Bint Abdelrahman University, Riyadh, KSA.
Department of Mathematics, Faculty of Science, Princess Norah Bint Abdelrahman University, Riyadh, KSA.
DOI: 10.4236/jmp.2014.51010
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Abstract
The problem of analytical study of the MHD effect through
a porous medium of the non-isothermal flow of a non-Newtonian
power law lubricant through the gap of conical bearing through a porous medium
when an external magnetic field is applied. At first, the more general basic
equations of motion, continuity and energy in curvilinear form in the width
direction are derived. Then, as a special case, a conical bearing gap is
considered. By integrating a modified form of Reynolds equation, the
bearing characteristics for a non-Newtonian power law lubricant when an
external magnetic field is applied through a porous medium are obtained.
Numerical results were presented in each of these forms: pressure, temperature
and capacity of the conical bearing. The effects of the parameters of the non-Newtonian
power law, magnetic field and porous medium are shown and discussed.
Share and Cite:
G. Abdel-Rahman and A. Al-Hanaya, "MHD Flow of a Non-Newtonian Power Law through a Conical Bearing in a Porous Medium,"
Journal of Modern Physics, Vol. 5 No. 1, 2014, pp. 61-67. doi:
10.4236/jmp.2014.51010.
Conflicts of Interest
The authors declare no conflicts of interest.
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