•12 



IlVDROnVNAAflCS IN SHIP DESIGN 



Srr. 42.6 



liquid parallel to the axis. A few of the 3-diml 

 streamlines adjacent to the 12 forebcKlies are 

 also given in their Report I'M 320G, dated 30 

 December 1944, available in I-nglish as T.MB 

 Translation 220, issued in April 11)47. An English 

 translation of AVA Report VU 3106, by F. 

 Riegels and M. Brand, mentioned on page 1 and 

 listed as Reference 2 on page 7 of TMB Trans- 

 lation 220, i.>< on file in the AercMlynainics Divi.sion 

 library at the David Taylor Motlel Basin. 



I SinW-Strenglh . 



, Distribution \ 



L Source- Strength 

 Distribution 1 



I ---.^miniTMl^ 



Ratio of x/L from Nose 



1.0 0.9 0.8 a? ae o.s 0.4 0.3 0.2 qi 



ai 







-0.1 



-02 



Fio. 42.C SouHCB-SiNK Strength Distmbution, 



AXISTMMETRIC BODT FoR.M, AND DISTRIBUTION OF 



Pressure CoEFnciENT Around an Aircraft Fuselage 



Fig. 42. C gives data pertaining to body A of 

 UM 320G, representing the fuselage of tlic 

 Russian pursuit plane MIG 1. The plot of pressure 

 coefTicient (p — p„)/(0.5pf/i) = Ap/g in diagram 

 3 extends only from -|-0.2 to —0.2; actually this 

 coefTicient rises to values of -1-1.0 at the extreme 

 nose and the extreme tail. The source-sink distri- 

 bution and strtmglh variation are shown by 

 diagram 1 of the figure. 



Supplementing the foregoing, there are listed 

 here a few references in the teclmical literature 

 giving additional velocity and pressure data 

 derived for bodies of revolution. Reference (14) 

 in this scries is the same report, autiiorcd by 

 I. J. Campbell and R. G. Ixjwis, as that listed at 

 the end of Sec. 42.5; it appears to have two 

 separate identification numbers. 'J'lie refercncea 

 are: 



(I) Von Kllrnutn, T., "Calculution of Pres-suro Diotribu- 

 tioii oil .\irttlii|> Hulls," N.\C\\ 'IVcli. Memo 574, 

 Jul 19H0; translutvd from Abhuiiiilungcii aus dem 

 Aerotlynamisohe Inslitut an der Tcchniscbe Hoch- 

 scliule, Aachen, 1927, No. 



('_') Lipsion, U. IF., and KlikofT, \V. .V., ".\pplicalion of 

 Practical Hydrodynamics to Airship De.sign," 

 NACA Ucp. 405, 1932, pp. 123-140 



(3) Kaplan, C, "Potential Flow About Elongated Bodies 



of Revolution," NACA Rep. 510, 19.35, pp. 189-208 



(4) Smith, R. II., "liOngitudinal Potential Mow .Vbout 



Arbitrary Body of Revolution with Application 

 to Airship Akron," Jour. Aero. Sciences, Sep 1935, 

 Vol. 3, No. 1 



(5) Kaplan, C, "On a New Method for Calculating the 



Potential Flow Past a Body of Revolution," 

 NACA Rep. 752, 1943, pp. 7-19 

 (G) Young, A. D., and Owen, P. R., "A Simplified 

 Theory for Streamline Bodies of Revolution 

 and Its Appliciition to the Development of High- 

 Speed Low-Drag Shapes," ARC, R and M 2071, 

 Jul 1943, pp. 107-127 



(7) Young, A. D., and Young, E., "A Family of Bodies 



of Revolution Suital)le for High-Speed or Low-Drag 

 Requirements," ARC, R and M 2204, Aug 1945 



(8) Eisenberg, P., "A CaviUition Method for the Develop- 



ment of Forms Having Specified Critical Cavitation 

 Numbers," TMB Rep. G47, Sep 1947 



(9) Eisenberg, P., "An A.symplolic Solution for the Flow 



About an Ellipsoid Near a Plane Wall," Hydro- 

 dynamics Lab., CIT, Rep. N-57, Sep 1948 



(10) McNown, J. S., and Hsu, E.-Y., "Pressure Distribu- 



tions from Theoretical Approximations of the 

 Flow Pattern," State Univ. Iowa, Reprints in 

 Eng'g., Bull. 79, 1949 



(11) Landweber, L., and Gertlcr, M., "Mathematical 



Formulation of Bodies of Revolution," TMB 

 Rep. 719, Sep 1950 



(12) McNown, J. S., and IIsu, E.-Y., ".Vpproximation of 



A-xisymmetric Body Forms for Specified Pressure 

 Distributions," Jour. Appl. Phys., Jul 1951, Vol. 

 22, pp. 864-868. The authors' summary reads as 

 follows: 



"The complax relationship between body profile 

 and prc.s.surc distribution is important in the 

 design of high-speed undersea botlies. For slender 

 uxisymmetric bodies integration of the e<iuations 

 for irrotational How luus l)t>en accomplished, the 

 coordinates of the body profile l)einR related to the 

 preiwure distribution through roetlicients of Ix>- 

 gendre polynomials. The limitjitions and applica- 

 tions of this approximate anidysis have been 

 demonstrated through comparisons with pre- 

 iLssigned conditions and with the results of exix?ri- 

 ments. Computed values closely approach tliose 

 preassigned or nieiusured throughout tlu> central 

 portion of the body if the maximum diiimetor docs 

 not exceed three-tenths of the length. The analysis 

 is accordingly useful in designing bwlies with low 

 coeflicicnta of drag and low incipient cavitation 

 numbers." 



The problem Ircjited here is essentially the reverse 

 of that forming the subject of the present section. 



(13) I^ndwcbor, L., "Tho Axially Symmetric Potential 



