28 



Equation [37] may be used to eliminate ^and n. For small values of t/c near the center of 

 the arc 



_f l-d + i i\( 1 + cosh ri \ 



j,2 ~\ 7rc]\ Vr, [40] 



'^o 1 + cosh -q ± — sinh tj ' 



ttc 



The plus signs are used for a mound and the minus signs for a depression. At the center of 

 the arc where 7/ = 0, the squared expression reduces to unity. Toward x = ± c, the velocity 

 approaches zero for a mound and infinity for a depression. Since such abrupt changes in 

 slope would not be likely to be encountered on a machined body, Equation [40] should be used 

 only for points near the center of the arc where 77 is small. 



REFERENCES 



1. Enclosure (A) to TMB CONFIDENTIAL Itr C-S75-1 to BuOrd dated 9 May 1947. 



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 Fluid," Aeronautical Research Committee, Reports and Memoranda No. 905, 1924. 



3. Taylor, G.I. and Sharman, C.F., "A Mechanical Method for Solving Problems of Flow 

 in Compressible Fluids," Aeronautical Research Committee, Reports and Memoranda No. 

 1195, 1928. 



4. Malavard, L., "Application des Analogies Electriques a la Solution de Quelques 

 Problemes de I'Hydrodynamfque," Publications Scientifiques et Techniques du Ministere de 

 I'Air No. 57, 1934. 



5. Malavard, L., "Etude de Quelques Problemes Techniques Relevant de la Theorie des 

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6. Malavard, L., "The Use of Rheo-Electric Analogies in Certain Aerodynamical Prob- 

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7. Surugue, J., "Technique Generales du Laboratoire de Physique," Vol II, Chapter 15, 

 (L. Malavard, "La Techniques des Analogies Electriques"), Edition du CNRS, Paris, 1950. 



8. Lamb, H., "Hydrodynamics," American Reprint Edition, University Press, Cambridge, 

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9. Couch, Richard B., "The Development of Wax Ship Model Manufacturing at the Taylor 

 Model Basin," TMB Report 728, August 1950. 



10. Landweber, L., "The Axially Symmetric Potential Flow About Elongated Bodies of 

 Revolution," TMB Report 761, August 1951. 



