Figure 15 (Continued) 



- A 



a o 



A 







, 



X <i, 'o 



O 0.831 0.240 0.976 

 D 0.873 0.321 0.798 

 O 0.909 0.449 0.538 

 A 0.951 0.654 0.235 

 A 0.987 0.746 0.111 



O 



1 



,1 



.7 



7 



D. / 



0^676, 



/ 



▲ O 



ZA o 



1 



t 



o 



3 



D 



o 



1 



u. 

 



n 



o 

 1 a 



Figure 15c - Nondimensionalized by Boundary Layer Thickness 



measured correlation coefficients at various axial locations in the thick 

 stern boundary layer do possess a similarity form when the nondimensional 



'/(r. 



2 2 



length parameter n is taken to be d // (rQ+6 ) -r . This independent and 

 more direct measurement of the turbulence length scale as determined from 

 the spatial correlation coefficient measurements provides additional support 

 that the appropriate length scale in the thick axisymmetric stern boundary 

 layer is proportional to the square root of the turbulence annular area 

 between the body surface and the edge of the boundary layer. Throughout 

 the entire stern boundary layer, the measured Taylor microscale A at each 

 axial location is found to be approximately equal to the measured corre- 

 lation length scale d for which the measured correlation coefficient 



D (d ) is equal to 0.4 (Figure 15). The measured values of 

 AB r 



/2 2 

 (r +6 ) -r were found to vary from 0.024 to 0.036 for the five axial 



locations (Figure 15) . This is additional evidence of the similarity 



46 



