Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-25T07:09:10.576Z Has data issue: false hasContentIssue false

Non-Newtonian conducting fluid flow and heat transfer due to a rotating disk

Published online by Cambridge University Press:  17 February 2009

Hazem A. Attia
Affiliation:
Dept. of Eng. Mathematics and Physics, Fac. of Eng., Cairo University (El-Fayoum Branch), Egypt; e-mail: [email protected].
Mohamed E. S. Ahmed
Affiliation:
Dept. of Eng. Mathematics and Physics, Fac. of Eng., Cairo University (El-Fayoum Branch), Egypt; e-mail: [email protected].
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The steady flow of an incompressible viscous non-Newtonian electrically conducting fluid and heat transfer due to the rotation of an infinite disk are studied considering the Hall effect. The effects of an externally applied uniform magnetic field, the Hall current, and the non-Newtonian fluid characteristics on the velocity and temperature distributions as well as the heat transfer are considered. Numerical solutions of the nonlinear equations which govern the magnetohydrodynamics (MHD) and energy transfer are obtained over the entire range of the physical parameters.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2004

References

[1]Aboul-Hassan, A. L. and Attia, H. A., “The flow due to a rotating disk with Hall effect”, Phys. Lett. A 228 (1997) 286290.CrossRefGoogle Scholar
[2]Ames, W. F., Numerical methods in partial differential equations, 2nd ed. (Academic Press, New York, 1977).Google Scholar
[3]Andersson, H. I. and de Korte, E., “MHD flow of a power-law fluid over a rotating disk”, Eur J. Mech. B Fluids 21 (2002) 317324.CrossRefGoogle Scholar
[4]Attia, H. A., “Unsteady MHD flow near a rotating porous disk with uniform suction or injection”, Fluid Dyn. Res. 23 (1998) 283290.CrossRefGoogle Scholar
[5]Attia, H. A., “Transient flow of a conducting fluid with heat transfer due to an infinite rotating disk”, Int. Comm. Heat Mass Transfer 28 (2001) 439448.CrossRefGoogle Scholar
[6]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”, Appl. Math. Modelling 25 (2001) 10891098.CrossRefGoogle Scholar
[7]Benton, E. R., “On the flow due to a rotating disk”, J. Fluid Mech. 24 (1966) 781800.CrossRefGoogle Scholar
[8]Cochran, W. G., “The flow due to a rotating disk”, Math. Proc. Cambridge Philos. Soc. 30 (1934) 365375.CrossRefGoogle Scholar
[9]Cramer, K. and Pai, S.-I., Magnetofluid dynamics for engineers and applied physicists (McGraw-Hill, New York, 1973).Google Scholar
[10]El-Mistikawy, T. M. A. and Attia, H. A., “The rotating disk flow in the presence of strong magnetic field”, in Proc. 3rd Int. Congress of Fluid Mechanics, Cairo, Egypt, 2–4 January, Volume 3, (1990), 12111222.Google Scholar
[11]El-Mistikawy, T. M. A., Attia, H. A. and Megahed, A. A., “The rotating disk flow in the presence of weak magnetic field”, in Proc. 4th Conference on Theoretical and Applied Mechanics, Cairo, Egypt, 5–7 November, (1991), 6982.Google Scholar
[12]Evans, G. H. and Greif, R., “Forced flow near a heated rotating disk: a similarity solution”, J. Fluid Mech. 22 (1988) 804807.Google Scholar
[13]Hirose, K., Yokoyama, T. and Ouchi, M., “Numerical study of convective heat transfer on a horizontal isothermal rotating disk”, Trans. Japan Soc. Mech. Engrs., Part B 61 (1995) 37703775.CrossRefGoogle Scholar
[14]Millsaps, K. and Pohlhausen, K., “Heat transfer by laminar flow from a rotating disk”, J. Aero. Sci. 19 (1952) 120126.CrossRefGoogle Scholar
[15]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. 14 (1961) 401410.CrossRefGoogle Scholar
[16]Le Palec, G., “Numerical study of convective heat transfer over a rotating rough disk with uniform wall temperature”, int. Comm. Heat Mass Transfer 16 (1989) 107113.CrossRefGoogle Scholar
[17]Sparrow, E. M. and Gregg, J. L., “Mass transfer, flow, and heat transfer about a rotating disk”, ASME J. Heat Transfer 11. (1960) 294302.CrossRefGoogle Scholar
[18]Srivastava, A. C., “Flow of non-Newtonian fluids at small Reynolds number between two infinite disks: one rotating and the other at rest”, Quart. J. Mech. Appl. Math. 14 (1961) 353385.CrossRefGoogle Scholar
[19]Sutton, G. M. and Sherman, A., Engineering magnetohydrodynamics (McGraw-Hill, New York, 1965).Google Scholar
[20]Tadros, S. E. and Erian, F. F., “Generalized laminar heat transfer from the surface of a rotating disk”, Int. J. Heat Mass Transfer 25 (1982) 16151660.CrossRefGoogle Scholar
[21]Von Karman, T., “Über laminare und turbulente Reibung”, Z. Angew. Math. Mech. 1 (1921) 233235.CrossRefGoogle Scholar