Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-18T22:24:05.656Z Has data issue: false hasContentIssue false

The effect of oscillation on flat plate heat transfer

Published online by Cambridge University Press:  29 March 2006

Hiroshi Ishigaki
Affiliation:
National Aerospace Laboratory, Kakuda Branch, Miyagi, Japan

Abstract

The time-mean heat transfer of the incompressible laminar boundary layer on a flat plate under the influence of oscillation is studied analytically. Flow oscillation amplitude outside the boundary layer is assumed constant along the surface and the viscous dissipation effect is considered. First, the small velocity–amplitude case is treated and the approximate formulae are obtained in the extreme cases when the frequency is low and high. Next, the finite velocity–amplitude case is treated under the condition of high frequency and it is found that the formulae obtained for the small amplitude and high frequency case are also valid. These results show that, when the oscillation is of high frequency, the time-mean heat flux to the wall can be several times as large as that without oscillation. This is due wholly to the viscous dissipation effect combined with oscillation.

Type
Research Article
Copyright
© 1971 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

Fagela-Alabastro, E. B. & Hellums, J. D. 1969 A.I.Ch.E.J. 15, 164.
Gersten, K. 1965 AGARDograph, 97, 423.
Illingworth, C. R. 1958 J. Fluid Mech. 3, 471.
Ishigaki, H. 1971 J. Fluid Mech. 46, 165.
Keith, H. G. & Purdy, K. R. 1967 Proc. 1967 Heat Transfer & Fluid Mechanics Inst. 298.
Kestin, J., Maeder, P. F. & Wang, W. E. 1961 Appl. Sci. Res. A, 10, 1.
Lighthill, M. J. 1954 Proc. Roy. Soc. A, 224, 1.
Lin, C. C. 1957 Proc. 9th Int. Congr. Appl. Mech. 4, 155.
Moore, F. K. 1951 NACA TN 2471.
Moore, F. K. & Ostrach, S. 1957 NACA TN 3886.
Ostrach, S. 1955 NACA TN 3569.
Stuart, J. T. 1955 Proc. Roy. Soc. A, 231, 116.