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The effect of wall cooling on a compressible turbulent boundary layer

Gran, R. L. and Lewis, J. E. and Kubota, T. (1974) The effect of wall cooling on a compressible turbulent boundary layer. Journal of Fluid Mechanics, 66 (3). pp. 507-528. ISSN 0022-1120. doi:10.1017/S0022112074000334.

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Experimental results are presented for two turbulent boundary-layer experiments conducted at a free-stream Mach number of 4 with wall cooling. The first experiment examines a constant-temperature cold-wall boundary layer subjected to adverse and favourable pressure gradients. It is shown that the boundary-layer data display good agreement with Coles’ general composite boundary-layer profile using Van Driest's transformation. Further, the pressure-gradient parameter β_K found in previous studies to correlate adiabatic high-speed data with low-speed data also correlates the present cooled-wall high-speed data. The second experiment treats the response of a constant-pressure high-speed boundary layer to a near step change in wall temperature. It is found that the growth rate of the thermal boundary layer within the existing turbulent boundary layer varies considerably depending upon the direction of the wall temperature change. For the case of an initially cooled boundary layer flowing onto a wall near the recovery temperature, it is found that δ_T ~ x whereas the case of an adiabatic boundary layer flowing onto a cooled wall gives δ_T ~ x^½. The apparent origin of the thermal boundary layer also changes considerably, which is accounted for by the variation in sublayer thicknesses and growth rates within the sublayer.

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Additional Information:© 1974 Cambridge University Press. Received October 5 1973. Published Online March 29 2006. The authors gratefully acknowledge the support of the Advanced Research Projects Agency and the U.S. Air Force Space and Missile System Organization under Contract F04701-71-C-0040 and the co-operation of the staff of the von Kármán Gas Dynamics Facility at AEDC, where the experiments were performed.
Funding AgencyGrant Number
Air Force Space and Missile System OrganizationF04701-71-C-0040
Advanced Research Projects AgencyUNSPECIFIED
Issue or Number:3
Record Number:CaltechAUTHORS:20120809-082030489
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Official Citation: R. L. Gran, J. E. Lewis and T. Kubota (1974). The effect of wall cooling on a compressible turbulent boundary layer. Journal of Fluid Mechanics, 66 , pp 507-528 doi:10.1017/S0022112074000334
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:33038
Deposited By: Ruth Sustaita
Deposited On:09 Aug 2012 15:59
Last Modified:09 Nov 2021 21:31

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