Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-26T06:35:49.604Z Has data issue: false hasContentIssue false

Free convection from a disk rotating in a vertical plane

Published online by Cambridge University Press:  20 April 2006

S. S. Chawla
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur
A. R. Verma
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur

Abstract

An exact solution of the free convective flow of a viscous incompressible fluid from a heated disk, rotating in a vertical plane, is obtained. The non-axisymmetric fluid motion consists of two parts; the primary von Kármán axisymmetric flow and the secondary buoyancy-induced cross-flow. A highly accurate solution of the energy equation is also derived for its subsequent use in the analysis of the cross-flow.

Type
Research Article
Copyright
© 1983 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Benton, E. R. 1966 J. Fluid Mech. 24, 781.
Chao, B. T. & Greif, R. 1974 Trans. A.S.M.E. C: J. Heat Transfer 96, 463.
Cochran, W. G. 1934 Proc. Camb. Phil. Soc. 30, 365.
Davies, D. R. 1959 Q. J. Mech. Appl. Math. 12, 14.
Davies, D. R. & Baxter, C. B. 1961 Q. J. Mech. Appl. Math. 14, 223.
Fettis, H. E. 1955 In Proc. 4th Midwest Conf. Fluid Mech., Purdue, p. 93.
Kármán, T. von 1921 Z. angew. Math. Mech. 1, 233.
Lin, C. C. 1957 Arch. Rat. Mech. Anal. 1, 391.
Millsaps, K. & Pohlhausen, K. 1952 J. Aero. Sci. 19, 120.
Morgan, G. W. and WARNER, W, H. 1956 J. Aero. Sci. 23, 937.
Riley, N. 1964 Q. J. Mech. Appl. Math. 17, 331.
Rott, N. & Lewellen, W. S. 1967 Phys. Fluids 10, 1867.
Sparrow, E. M. & Gregg, J. L. 1959 Trans. A.S.M.E. C: J. Heat Transfer 81, 249.