Sec. 4 3. U 



DELINEATION OF SOURCE-SINK DIAGRAMS 



71 



(14) Lamb, H., "Hydrodynamics," 6th ed., Dover, New 



York, 1945, pp. 57-71 



(15) Glauert, H., "The Elements of Aerofoil and Airscrew 



Theory," 2nd ed., Cambridge, England, 1948, 

 pp. 21-32 



(16) Brard, R., "Cas d' Equivalence entre CarSnes et 



Distributions de Sources and de Puits (Similarities 

 Between Ship Hulls and Distributions of Sources 

 and Sinks)," ATMA, 1950, Vol. 49, pp. 189-230 

 (in vector notation) 



(17) Milne-Thomson, L. M., "Theoretical Hydrody- 



namics," 2nd ed., Macmillan, New York, 1950, 

 pp. 194-223 



(18) Cummins, W. E., "The Forces and Moments Acting 



on a Body Moving in an Arbitrary Potential 

 Stream," TMB Rep. 780, Sep 1952 



(19) Hellerman, L., and Van Zandt, T. E., "Rankine 



Solids," Harbor Protection Project, Edwards 

 Street Lab., Yale Univ., Tech. Memo. 14, 15 

 Sep 1952. 



43.14 Selected References on Lagally's Theo- 

 rem. For the reader who wishes to investigate 

 further the application of the Lagally Theorem, 

 the following references should prove useful: 



(1) Kelvin, Lord, "On the Motion of Rigid Solids in a 



Liquid Circulating Irrotationally through Per- 

 forations in Them or in a Fixed Sohd," Phil. Mag., 

 May 1873, Vol. 45 



(2) Munk, M., "Some New Aerodynamical Relations," 



NACARep. 114, 1921 



(3) Lagally, M., "Berechung der Krafte und Momente, 



die stromende Fliissigkeiten auf ihre Begrenzung 

 ausiiben (Calculation of Forces and Moments 

 which Streaming Liquids Exert on Their Bound- 

 ary)," Zeit. fur Ang. Math, und Meoh., Dec 1922, 

 Vol. 2, pp. 409-422 



(4) Taylor, G. I., "The Forces on a Body Placed in a 



Curved or Converging Stream of Fluid," Proc. 

 Roy. Soc, London, 1928, Series A, Vol. 120 



(5) Taylor, G. I., "The Force Acting on a Body Placed 



in a Curved and Converging Stream of Fluid," 



ARC, R and M 1166, 1928-1929, Vol. 33, p. 104ff 



(6) Glauert, H., "The Effect of the Static Pressure 



Gradient on the Drag of a Body Tested in a Wind 

 Tunnel," ARC, R and M 1158, 1928-1929, Vol. 33, 

 pp. 81-113 



(7) Lamb, H., "Note on the Forces Experienced by 



Ellipsoidal Bodies Placed Unsymmetrioally in a 

 Converging or Diverging Stream," ARC, R and 

 M 1164, May 1928, Vol. 33, pp. 114-117 



(8) Mohr, E., "tJber die Krafte und Momente, welche 



Singularitaten auf eine stationare Fliissigkeits- 

 stromung iibertragen (On the Force and Moment 

 which Singularities Transfer upon Stationary 

 Liquid Flow)," Jour, fiir die reine und angewandte 

 Mathematik (Crelle's Jour.), 1940, Vol. 182 



(9) Pistolesi, E., "Forze e momenti in una corrente 



leggermente curva convergente (Forces and 

 Moments in a Slowly Coverging Curved Stream)," 

 Commentations, Pont. Acad. Sci., 1944, Vol. 8 



(10) Brard, R., "Cas d'Equivalence entre Carenes et 



Distributions de Sources et de Puita (The Equiva- 

 lence of Ship Hulls and Distributions of Sources 

 and Sinks)," ATMA, 19.50, Vol. 49, pp. 189-230 

 (in vector notation) 



(11) Milne-Thomson, L. M., "Theoretical Hydrody- 



namics," Macmillan, New York, 2nd ed., 1950, 

 pp. 208-211 



(12) ToUmien, W., "Uber Krafte und Momente in schwach 



gekriimmten oder konvergenten Stromungen (On 

 the Force and Moment in Flows which are Weakly 

 Curved or Convergent)," Ing.-Archiv., 1938, Vol. 9; 

 translated in ETT, Stevens, Rep. 363, Sep 1950 



(13) Betz, A., "Singularitatenverfahren zur Ermittlung 



der Krafte und Momente auf Korper in Potential- 

 stromungen (The Method of Singularities for the 

 Determination of Forces and Moments Acting on 

 a Body in Potential Flow)," Ing.-Archiv, 1932, 

 Vol. 3, pp. 454-462; TMB Transl. 241, Nov 1950 



(14) Weinblum, G. P., MIT Hydrodyn. Symp., 1951, 



pp. 91-92 



(15) Cummins, W. E., "The Forces and Moments Acting 



on a Body Moving in an Arbitrary Potential 

 Stream," TMB Rep. 780, Sep 1952. 



