Hostname: page-component-77c89778f8-vpsfw Total loading time: 0 Render date: 2024-07-19T09:25:25.585Z Has data issue: false hasContentIssue false

Laminar convection in a heated vertical tube rotating about a parallel axis

Published online by Cambridge University Press:  28 March 2006

W. D. Morris
Affiliation:
Department of Mechanical Engineering, University of Liverpool

Abstract

This paper presents an investigation into the influence of rotation on the laminar asymptotic velocity and temperature profiles obtained when fluid flows through a vertical tube which rotates about a parallel axis with uniform angular velocity, and which is subjected to a uniform temperature gradient. Rotation induces secondary free convection flow in the plane perpendicular to the axis resulting in non-symmetrical axial-velocity and temperature profiles which modify the solved using a series expansion in ascending powers of the rotational Rayleigh number, the resulting solution being approximate and valid only for low rates of heating.

Type
Research Article
Copyright
© 1965 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

Alpert, S., Grey, R. E. & Flashar, W. O. 1960 Trans. A.S.M.E.
Barua, S. N. 1954 Proc. Roy. Soc. A, 227, 133.
Goldstein, S. 1957 Modern Developments in Fluid Dynamics, Vol. 2. Oxford University Press.
Holzworth, H. 1938 Die Entwicklung der Halzworth-Gas Turbine, Holzworth-Gas turbinen, G.m.b.H. Muehlheim-Ruhr.
Leslie, F. M. 1960 J. Fluid Mech. 7, 115.
Lighthill, M. J. 1949 Phil. Mag., 40, 1179.
Lighthill, M. J. 1953 Quart. J. Mech. Appl. Phys. 6, 398.
Martin, B. W. 1955 Proc. Roy. Soc. A, 230, 502.
Martin, B. W. & Cohen, H. 1954 Brit. J. Appl. Phys. 5, 91.
Morton, B. R. 1959 Quart. J. Mech. Appl. Math. 12, 410.
Rossby, C. G. 1949 Tellus, 1, 54.