โ Scribed by Tennekes, H.
No coin nor oath required. For personal study only.
The veldcity profiles of a turbulent boundary layer wiยขh zero skin friction throughout its region of pressure rise, measured by Stratford in 7959, are ana]yzed in terms of a law of the wall and a velocity-defect law with a common velocity scale and a logarithmic velocity profile in the regio n of overlap. The analysis deviates from earlier work by Stratford and Townsend. It is shown that the fiow in Stratford's boundary layer, even aร the largest va]ue of xl at which measurements were taken, is not yet in a state of equilibrium. The velocity scale for turbulent boundary layers with zero skin fricfion is proportional to the cube root oi the pressure gradient.
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## SCIENCE ~DIRmCT e APPUED IMA'rHEMA'rlc8 All%l D MECiI'I~N ICS
positions where the wall pressure has maximum and minimum values respectively penetration length of jet distance from the wall forward flow fraction yaw and pitch angles of flow direction (Fig. 4) velocity ratio, 2 = Ufl Uo density of the fluid nondimensional stream function 1