Unsteady MHD flow and Heat Transfer past a Porous Flat Plate in a Rotating System
|
10.5120/3993-5649 |
S Das, S.K.Guchhait and R N Jana. Article: Unsteady MHD flow and Heat Transfer past a Porous Flat Plate in a Rotating System. International Journal of Computer Applications 33(2):17-26, November 2011. Full text available. BibTeX
@article{key:article,
author = {S. Das and S.K.Guchhait and R. N. Jana},
title = {Article: Unsteady MHD flow and Heat Transfer past a Porous Flat Plate in a Rotating System},
journal = {International Journal of Computer Applications},
year = {2011},
volume = {33},
number = {2},
pages = {17-26},
month = {November},
note = {Full text available}
}
Abstract
An analysis is made on the unsteady MHD flow and heat transfer of a viscous incompressible electrically conducting viscous fluid bounded by an infinite porous flat plate. The plate is oscillating in its own plane with a velocity , being the frequency of the oscillations. A uniform magnetic field of strength is imposed perpendicular to the plate. The governing equations along with the boundary conditions are solved analytically. It is found that with an increase in either magnetic parameter or suction parameter the primary velocity and the magnitude of secondary velocity decrease. The primary velocity and the magnitude of the secondary velocity increase with an increase in either accelerated parameter or frequency parameter or time. It is found that the solution also exists for the blowing at the plate. The temperature distribution is obtained on taking viscous and joule dissipation into account. The mean wall temperature as well as the rate of heat transfer are also obtained. It is found that with an increase of magnetic field intensity, the mean temperature increases.
Reference
- Kakutani, T. (1958). Effect of tranverse magnetic field on the flow due to an oscillating plate. J. Phys. Soc. Jpn. 13: 1504.
- Kakutani, T. (1960). Effect of tranverse magnetic field on the flow due to an oscillating plate. J. Phys. Soc. Japan. 15: 1316.
- Hide, R. and Roberts, P.H. (1960). Hydromagnetic flow due to an oscillating plane. Review of Modern Physics. 799-806.
- Soundalgekar, V.M. and Pop,I.(1970). Unsteady hydromagnetic flow in a rotating fluid. Bulletin Mathematique Roumanie. 14: 375-381.
- Debnath, L.(1972). On unsteady magnetohydrodynamic boundary layers in a rotating flow. ZAMM. 52: 623-626.
- Datta, N. and Mazumdar, B.S.(1977). Hydromagnetic Ekman layer near an accelerated plate. Rev. Roum. Phys. 22: 237-245.
- Bühler, K. and Zierep J. (1990). Instationäre Plattenströmung mit Absaugung and Ausblasen. ZAMM. 70: 589-590.
- Turbatu, S., Buhler, K., Zierep, J.(1998). New solutions of the II-Stokes problem for an oscillating flat plate. Acta Mech. 129: 25-30.
- Attia,H.A.(2002). Transient Hartmann flow with heat transfer considering the ion slip. Physica Scripta. 66: 470-475.
- Gupta, A. S., Misra, J. C., Reza, M., Soundalgekar, V. M. (2003). Flow in the Ekman layer on an oscillating porous plate. Acta Mechanica. 165: 1-16.
- Gupta, A. S., Misra, J.C., Reza, M. (2003). Effects of suction or blowing on the velocity and temperature distribution in the flow past a porous flat plate of a power-law fluid. Fluid Dynamics Research. 32: 283-294.
- Guria, M. and Jana, R.N. (2007). Hydromagnetic flow in the Ekman layer on an oscillating porous plate. Magnetohydrodynamics. 43 (1): 53-61
- Muhammad R. Mohyuddin, Fakhar, K., Ali Farooq (2008). Unsteady magneto-fluid-dynamics fluid and heat flow. Int.J. Dynamics of Fluids. 4(2): 1-12.
- Akl, M.Y. (2009). MHD flow and heat transfer driving by a power-law shear over a semi-infinite flat plate. Computational Materials Science. 45(2): 271-274.