Asymptotic solution for the flow due to an infinite rotating disk in the case of large magnetic field

Transactions of the Canadian Society for Mechanical Engineering

Volumn 24, Issue 3-4, 2000, Pages 515-521

  El Mistakawy, Tarek M A ^a   Attia, Hazem A ^a   Megahed, Adel A ^a  

^a CAIRO UNIVERSITY   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; FINITE DIFFERENCE METHOD; LINEARIZATION; MAGNETIC FIELD EFFECTS; MAGNETOHYDRODYNAMICS; VELOCITY;

ASYMPTOTIC EXPANSION; VON KARMAN SIMILARITY COORDINATE;

ROTATING DISKS;

EID: 0034462762     PISSN: 03158977     EISSN: None     Source Type: Journal    
DOI: 10.1139/tcsme-2000-0038     Document Type: Article

References (11)

1. Karman, T. von, "Uber laminare und turbulente reibung," ZAMM, vol. 55, No. 4, pp. 244-247, 1921.
2. Cochran, W.G., "The flow due to a rotating disk," Proc. Cambridge Philos. Soc., vol. 30, No. 3, pp. 365-375, 1934.
3. Thiriot, H.K., "Uber die laminare Anlaufstromung einer Flussigkeit einem rotierenden Boden bei plotzlicher Anderung des drehungszustandes," Z. angew. Math. Mech., vol. 20, pp. 1-13, 1940.
4. Nigam, S.D., "Rotation of an infinite plane lamina: Boundary layer growth: Motion started impulsively from rest," Quart. Appl. Math., vol. 9, pp. 89-91, 1951.
5. Benton, E.R., "On the flow due to a rotating disk," J. Fluid Mechanics, vol. 24, pp. 781-800, 1966.
6. Chawla, S.S., "Spin up from a rotating disk," J. Fluid Mechanics, vol. 78, pp. 609-619, 1976.
7. Brady, J.F. and Durlofsky, L., "On the rotating disk flow," J. Fluid Mechanics, vol. 175, pp. 363-393, 1987.
8. El-Mistikawy, T.M.A., Attia, H.A., and Megahed, A.A., "Asymptotic solution for the flow due to an infinite rotating disk in the case of small magnetic field," Accepted for publication in Mechanics Research Communications.
9. Sutton and Sherman, Engineering Magnetohydrodynamics, pp. 8.305-8.308, McGraw-Hill, 1965.
10. Attia, H.A., Limiting behavior of the magnetohydrodynamic flow due to the rotation of a disk of infinite or finite extent, M.Sc. thesis, Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, 1988.
11. Nayfah, A.H. , Perturbation Methods, John Wiley & Sons, Newyork, p. 56-103, 1973.