On the flow of a compressible fluid by the hodograph method. II, fundamental set of particular flow solutions of the Chaplygin differential equation

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086 0 ‡aY 3.N 21/5:11/L-147
099 ‡aNACA L-147
100 1 ‡aGarrick, I. E.
245 1 0 ‡aOn the flow of a compressible fluid by the hodograph method. ‡nII, ‡pfundamental set of particular flow solutions of the Chaplygin differential equation / ‡cby I.E. Garrick and Carl Kaplan.
246 1 3 ‡aNACA wartime reports
260 ‡aLangley Field, VA : ‡bLangley Memorial Aeronautical Laboratory, ‡c1944.
300 ‡a54, [5] p. ; ‡c28 cm.
500 ‡a"NACA WARTIME REPORTS are reprints of papers originally issued to provide rapid distribution of advance research results to an authorized group requiring them for the war effort. They were previously held under a security status but are now unclassified. Some of these reports were not technically edited. All have been reproduced without change in order to expedite general distribution." ‡5FU
500 ‡a"Report date November 1944." ‡5FU
500 ‡a"Originally issued November 1944 as Advance Restricted Report L4I29." ‡5FU
500 ‡a"Report no. L-147." ‡5FU
520 ‡aSummary: The differential equation of Chaplygin's jet problem is utilized to give a systematic development of particular solutions of the hodograph flow equations, which extends the treatment of Chaplygin into the supersonic range and completes the set of particular solutions. The particular solutions serve to place on a reasonable basis the use of velocity correction formulas for the comparison of incompressible and compressible flows. It is shown that the geometric-mean type of velocity correction formula introduced in an earlier paper, part I, has significance as an over-all type of approximation in the subsonic range. A brief review of general conditions limiting the potential flow of an adiabatic compressbile fluid is given and application is made to the particular solutions, yielding conditions for the existence of singular loci in the supersonic range. The combining of particular solutions in accordance with prescribed boundary flow conditions is not treated in the present paper.
530 ‡aAlso available in electronic format. ‡5FU
538 ‡aMode of access: Internet.
650 0 ‡aAerodynamics, Supersonic.
650 0 ‡aCompressibility.
650 0 ‡aHodograph equations.
700 1 ‡aKaplan, Carl.
710 1 ‡aUnited States. ‡bNational Advisory Committee for Aeronautics.
710 2 ‡aLangley Aeronautical Laboratory.
830 0 ‡aNACA collection.
CID ‡a012182968
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DAT 1 ‡a20171120114410.0 ‡b2017-11-20T19:57:14Z
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