Browse > Article
http://dx.doi.org/10.12941/jksiam.2012.16.3.169

HYDROMAGNETIC ROTATING DISK FLOW OF A NON-NEWTONIAN FLUID WITH HEAT TRANSFER AND OHMIC HEATING  

Attia, Hazem A. (Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University)
Ewis, Karem M. (Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University)
Abd Elmaksoud, Ibrahim H. (Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University)
Awad-Allah, Nabil A. (Department of Civil Engineering, Faculty of Engineering, Fayoum University)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.16, no.3, 2012 , pp. 169-180 More about this Journal
Abstract
The steady hydromagnetic flow of an electrically conducting non-Newtonian fluid due to the rotation of an infinite disk is studied with heat transfer with the inclusion of the ion slip as well as Ohmic heating. The governing nonlinear momentum equations and energy equations are solved using the finite difference method. The numerical results indicate the important effect of the ion slip and the non-Newtonian fluid characteristics on the velocity and temperature distributions.
Keywords
Couette flow; MHD; incompressible fluid;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Cochran, W.G., "The flow due to a rotating disk", Proc. Cambridge Philos. Soc. 30 (3), pp. 365-375, 1934.   DOI
2 El-Mistikawy, T.M.A. and Attia, H.A., "The rotating disk flow in the presence of strong magnetic field", Proc. 3rd Int. Congress of Fluid Mechanics, Cairo, Egypt, vol. 3, pp. 1211-1222, Jan. 2-4, 1990.
3 El-Mistikawy, T.M.A., Attia, H.A., and Megahed, A.A., "The rotating disk flow in the presence of weak magnetic field", Proc. 4th Conference on Theoretical and Applied Mechanics, Cairo, Egypt, pp. 69-82, Nov. 5-7, 1991.
4 Sutton, G.W. and Sherman, A., Engineering magneto hydrodynamics, McGraw-Hill, New York, 1965.
5 Crammer, K.R. and Pai, S.-I., Magnetofluid dynamic for engineers and applied physicists, New York, McGraw-Hill, 1973.
6 Aboul-Hassan, A.L. and Attia, H.A., "The flow due to a rotating disk with Hall effect", Physics Letters A, 228, pp. 286-290, 1997.   DOI   ScienceOn
7 Attia, H.A., "On the effectiveness of ion slip on steady MHD flow and heat transfer above a rotating disk with Ohmic heating", Journal of Fluids Engineering, Vol. 128, Issue 5, 2006.
8 Attia, H.A. and Aboul-Hassan, A.L., "Effect of Hall current on the unsteady MHD flow due to a rotating disk with uniform suction or injection", Applied Mathematical Modeling, Vol. 25, No. 12, pp. 1089-1098, 2001.   DOI   ScienceOn
9 Attia, H.A., "On the effectiveness of ion slip and uniform suction or injection on steady MHD flow due to a rotating disk with heat transfer and ohmic heating", Chemical Engineering Communications (CEC), Vol. 194, Issue 10, pp. 1396-1407, 2007.   DOI   ScienceOn
10 Millsaps, K. and Pohlhausen, K., "Heat transfer by laminar flow from a rotating disk", J. of the Aeronautical Sciences, Vol. 19, pp. 120-126, 1952.   DOI
11 Sparrow, E.M. and Gregg, J.L., "Mass transfer, flow, and heat transfer about a rotating disk", ASME J. of Heat Transfer, pp. 294-302, 1960.
12 Attia, H.A., "Unsteady MHD flow near a rotating porous disk with uniform suction or injection", Fluid Dynamics Research 23, pp. 283-290, 1998.   DOI   ScienceOn
13 Mithal, K.G., "On the effects of uniform high suction on the steady flow of a non-Newtonian liquid due to a rotating disk", Quart. J. Mech. Appl. Math., Vol. XIV, pp. 401-410, 1961.
14 Attia, H.A., "Unsteady flow of a non-Newtonian fluid above a rotating disk with heat transfer", Int. J. of Heat and Mass Transfer, Vol. 46, No. 41, pp. 2695-2700, 2003.   DOI   ScienceOn
15 Ames, W.F., Numerical methods in partial differential equations, 2nd ed., Academic Press, New York, 1977.
16 Von Karman, T., "Uber laminare und turbulente reibung", ZAMM, vol. 1, No. 4, pp. 233-235, 1921.   DOI   ScienceOn