length, and spatial correction function. This investigation is an ex- 

 tension of the earlier research on convex axisymmetric thick stern boundary 



1 2* 

 layers reported by Huang, et al. ' 



The experimental measurements are compared with the results computed 



3 

 by the method of Wang and Huang for computing the potential flow- 

 boundary layer interaction on axisymmetric bodies. The initial step in 



this procedure begins with the computation of the potential-flow pressure 



4 

 distribution on the body using the computer code of Hess and Smith. The 



McDonnell Douglas Corp., Cebeci-Smith** method is then used to calculate 



the flow over the body and the integral relations of Granville are used to 



calculate the flow in the wake. The local displacement thickness computed 



in these boundary layer calculations is added to the original body to 



obtain a modified body and wake geometry as suggested by Preston and 



Q 



Lighthill. The procedure is repeated until the pressure distributions on 

 the body from two successive approximations agree to within a given error 

 criterion. This iterative scheme is referred to as the displacement body 

 concept. 



Several modifications have been made to the Douglas C-S differential 



5 3 



boundary layer method by Wang and Huang. These changes were incorporated 



to improve the comparison of the thick boundary layer parameters with the 



1 9 



experimental data of Huang et al. and Patel and Lee. Transverse 



curvature effects are included in the solution of the standard thin 



boundary layer equations in the Wang and Huang method. Effects due to 



longitudinal curvature are neglected. The pressure variation across the 



boundary layer is obtained from potential flow calculations for the final 



displacement body. The mixing length and eddy viscosity in the thick 



boundary layer region are obtained by modifying the thin boundary layer 



values by factors which are proportional to the annular area between the 



body surface and the edge of the boundary layer. 



In the stern and near-wake region (0.95 <^ x/L _< 1.05), where x is the 



axial distance from the nose and L is the total body length, a fifth degree 



*A complete listing of references is given on page 51. 



**The McDonnell Douglas Corp., Cebeci-Smith method will hereafter be 

 designated as Douglas C-S. 



