Sec. 43.ft 



DELINEATION OF SOURCE-SINK DIAGRAMS 



fiS 



22 2 



0.10 0.20 0.30 0.40 0.5O 0.60 O.TO 080 0.90 1.00 



Source- R"^^ H "-^O I 



or sinK 



1.00 0.90 0.60 0.70 0.60 Q50 OAO 050 020 010 oi k/n 



Fig. 43.L Diagram for Graphic Construction of 



Stream Functions for 3-Diml Source or Sink 



AND Uniform Flow 



strength and great size near the stern. Fig. 67. H 

 in Sec. 67.7 shows the longitudinal half-section of 

 such a 3-diml bulb, extended well abaft the source 

 position. 



To construct the longitudinal-plane trace of a 

 complete 3-diml body of revolution with a 3-diml 

 source-sink pair, the transparent radial-flow 

 diagrams of both source and sink are laid down 

 over the reference (source-sink) axis at the selected 

 position of each. A sheet of tracing paper or cloth 

 is superposed on the two. The trace of the resultant 

 3-diml flow pattern is constructed on the top 

 sheet by marking the intersections of the radial 

 traces with stream-function values ^^ correspond- 



TABLE 43. b — Data for Constructing Three- 

 Dimensional Uniform-Flow Diagrams 



This table applies to diagram 2 of Fig. 43.L. 



k/n for n = 20 



Vk/y 



ing to the algebraic sum of the 3-dinil source-and- 

 sink functions. Fair curves are next drawn through 

 points of equal value of ^r . The surfaces of 

 revolution pertaining to the combined source- 

 and-sink stream functions ^b are found, as in 

 Fig. 43.N, to have forms which are generally but 

 not exactly circular where they intersect the 

 plane of the page. 



The resultant source-sink stream functions ^r 

 are finally combined with the uniform-flow 

 stream functions 4/u in the same manner as for 



^3-diml source Qg 



Fig. 43.M Combination of Stream Functions for 

 Single 3-Diml Source and Uniform Flow 



