Linear sinusoidal disturbances are introduced into the boundary layer over a heated flat plate of uniform surface temperature using a vibrating ribbon. The experiment is performed in a low turbulence water tunnel with free-stream turbulence intensities of 0[sdot ]1–0[sdot ]2%. Measurements are made using temperature-compensated hot-film anemometry. Neutral-stability characteristics obtained for the unheated case agree favourably with previous results obtained both in water and in air. Neutral-stability and spatial disturbance-growth-rate characteristics measured for wall temperatures up to 8°F above the free-stream temperature verify trends established by parallel-flow solutions of the disturbance momentum and energy equations. Disturbance growth rates and the band of amplified disturbance frequencies both decrease as wall heating is increased. The experimentally observed increase in the minimum critical Reynolds number Re c min with increased wall heating agrees with the trend predicted by theory. However, effects of non-parallel flow act to reduce the measured values of Re c min by about 120 units compared with predicted parallel-flow values independent of the level of wall heating.
[1]
W. Tollmien,et al.
50 Jahre Grenzschichtforschung
,
1955
.
[2]
F. H. Barnes,et al.
The flat plate boundary layer. Part 3. Comparison of theory with experiment
,
1970,
Journal of Fluid Mechanics.
[3]
M. Gaster.
On the effects of boundary-layer growth on flow stability
,
1974,
Journal of Fluid Mechanics.
[4]
Ali H. Nayfeh,et al.
Nonparallel stability of boundary‐layer flows
,
1975
.
[5]
Robert Leroy. Lowell,et al.
Numerical study of the stability of a heated water boundary layer.
,
1974
.
[6]
H. Schlichting,et al.
Boundary Layer Theory, Sixth Edition
,
1968
.
[7]
F. Wortmann.
Untersuchung instabiler Grenzschichtschwingungen in einem Wasserkanal mit der Tellurmethode
,
1955
.
[8]
A. R. Wazzan,et al.
The Stability of Water Flow Over Heated and Cooled Flat Plates
,
1968
.
[9]
R. Jordinson,et al.
The flat plate boundary layer. Part 1. Numerical integration of the Orr–-Sommerfeld equation
,
1970,
Journal of Fluid Mechanics.