368
CARL I i . GII\SoN ET Al..
such vibration, and it is conceivable that the vibration might be accompanied by turbulence. Unfortunately the data were obtained as the submarine cruised parallel to the wave crests, so it is not possible to tell whether
the turbulence signals occurred under the crests or troughs of the surface
waves, to compare with the indicated phase dependence observed from
the present data. It should also be nientioned that similar bursts of temperature and/or velocity activity were observed with the Ocorlosrora moving into
the waves where the point of maximum activity occurred where the velocity
was maximum; again indicating the activity was under the wave crests.
Further experiments are clearly needed to better document this surprising
phenomena.
4. GENERATION OF TLJKHLUNC~ BY SURFACE WAVB
Onc mechanism that niight generate turbulcnce in phase with surface
waves is illustrated in Fig. 9, which shows streamlines in the wind and water
FKi.
velocity
._.9. W W C Induced turbulence model. C'oordinate systeni incnirig with
('.
in a coordinate system moving with the phase velocity C' of the wave. As
indicnted by Fig. 9, regions exist in the wind and water where the streamlines
diverge and converge. It is well known that diverging llows tend to be
unstable and that converging flows tend to be stable; e.g., see the solution
for diverging and converging flow between two planes by Hamel (1916)
described by Landau and Lifshitz (1959). I t is shown that the criterion for
instability is ii Reynolds number based on the volume flux per unit length
CARL I i . GII\SoN ET Al..
such vibration, and it is conceivable that the vibration might be accompanied by turbulence. Unfortunately the data were obtained as the submarine cruised parallel to the wave crests, so it is not possible to tell whether
the turbulence signals occurred under the crests or troughs of the surface
waves, to compare with the indicated phase dependence observed from
the present data. It should also be nientioned that similar bursts of temperature and/or velocity activity were observed with the Ocorlosrora moving into
the waves where the point of maximum activity occurred where the velocity
was maximum; again indicating the activity was under the wave crests.
Further experiments are clearly needed to better document this surprising
phenomena.
4. GENERATION OF TLJKHLUNC~ BY SURFACE WAVB
Onc mechanism that niight generate turbulcnce in phase with surface
waves is illustrated in Fig. 9, which shows streamlines in the wind and water
FKi.
velocity
._.9. W W C Induced turbulence model. C'oordinate systeni incnirig with
('.
in a coordinate system moving with the phase velocity C' of the wave. As
indicnted by Fig. 9, regions exist in the wind and water where the streamlines
diverge and converge. It is well known that diverging llows tend to be
unstable and that converging flows tend to be stable; e.g., see the solution
for diverging and converging flow between two planes by Hamel (1916)
described by Landau and Lifshitz (1959). I t is shown that the criterion for
instability is ii Reynolds number based on the volume flux per unit length