Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-19T14:44:08.506Z Has data issue: false hasContentIssue false

Heat transfer in transient and unsteady flows past a heated circular cylinder in the range 1 [Lt ] R [Lt ] 40

Published online by Cambridge University Press:  19 April 2006

C. J. Apelt
Affiliation:
Department of Civil Engineering, University of Queensland, Australia
M. A. Ledwich
Affiliation:
Department of Civil Engineering, University of Queensland, Australia

Abstract

The response of a heated circular cylinder to impulsive and sinusoidal variations in the velocity of flow past it has been simulated by numerical integration of the governing equations. The fluid has been treated as viscous and incompressible and as having constant properties. The range of Reynolds number investigated was 1 [Lt ] R [Lt ] 40. Since vortex shedding normally does not occur in this range, the flows were treated as symmetrical. The thermal and flow transients are presented for the following cases.: (i)impulsive starts from rest to final steady state Reynolds numbers 1, 5, 10, 26·67; (ii)impulsive increases in velocities of 50% magnitude from steady state Reynolds numbers 1, 10 and 26·67; (iii)sinusoidal variation in velocity with amplitude of 10% impressed on a mean flow at Reynolds number 10.

Results are also given for the thermal transients associated with instantaneous changes in cylinder temperature at Reynolds numbers 1, 5 and 40. The results obtained for transient and steady state flow parameters are in agreement with those obtained numerically and experimentally by other workers and the results for steady state heat flux from the cylinder are in agreement with experimental values. The new results obtained for heat transfer in unsteady flows provides information which is relevant to the operation of hot-wire anemometers.

Type
Research Article
Copyright
© 1979 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

Apelt, C. J. 1958 Aero. Res. Counc. R. & M. 3175.
Arakawa, A. 1966 J. comp. Phys. 1, 119.
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Bullock, K. J. & Ledwich, M. A. 1973 Mech. Eng. Res. Rep. no. 2/73. University of Queensland.
Cole, J. & Rosko, A. 1954 Proc. of Heat Transfer and Fluid Mech. Inst., p. 13. Stanford University Press.
Collins, W. M. & Dennis, S. C. R. 1973 J. Fluid Mech. 60, 105.
Collis, D. C. & Williams, M. J. 1959 J. Fluid Mech. 6, 357.
Coutanceau, M. & Bouard, R. 1977 J. Fluid Mech. 79, 231.
Davies, H. G. 1976 J. Fluid Mech. 73, 49.
Dennis, S. C. R. & Chang, G. Z. 1970 J. Fluid Mech. 42, 471.
Dennis, S. C. R., Hudson, J. D. & Smith, N. 1968 Phys. Fluids 11, 933.
Hieber, C. A. & Gebhart, B. 1968 J. Fluid Mech. 32, 21.
Hodnett, P. F. 1969 J. Fluid Mech. 39, 465.
Illingworth, C. R. 1963 In Laminar Boundary Layers (ed. L. Rosenhead), p. 193. Clarendon Press.
Imai, I. 1951 Proc. Roy. Soc. A 208, 487.
Ingham, D. B. 1968 J. Fluid Mech. 31, 815.
Kassoy, D. R. 1967 Phys. Fluids 10, 938.
Kawaguti, M. 1953 J. Phys. Soc. Japan 8, 747.
Keller, H. B. & Takami, H. 1966 Numerical Solutions of Nonlinear Differential Equations (ed. D. Greenspan), p. 116. Wiley.
Levey, H. 1959 J. Fluid Mech. 6, 385.
Nieuwstadt, F. & Keller, H. B. 1973 Computers & Fluids 1, 59.
Payne, R. B. 1958 J. Fluid Mech. 4, 81.
Takaisi, Y. 1969 Phys. Fluids Suppl. 12, II 86.
Takami, H. & Keller, H. B. 1969 Phys. Fluids Suppl. 12, II 51.
Thoman, D. C. & Szewczyk, A. A. 1969 Phys. Fluids Suppl. 12, II 76.
Tritton, D. J. 1959 J. Fluid Mech. 6, 547.
Wood, W. W. 1968 J. Fluid Mech. 32, 9.