ON THE FLOW OF A COMPRESSIBIX FLUID BY THE HODOGRAPH METHOD DIFFERENTIAL EQUATION II4"DAMENTAL SET OF PARTICULAR FLOW SOLUTIONS OF THE CHAPLYGIN

The di#er & equation o f Ciiuplygin's jet problem is ZLtilized to giae a sy&emdi.c dmelopmd of partimhr solutions o f the hodographjlmo equations, which exfemk the treatment o f &plygin into the supersonic range and completes the set of particuhr s o l u i h. The parliculaf. solutions serve to place on a reasonable baais the we of velocity correction f o r m d m for the comparison o f incompressible and compressibleflows. It is shown that the gemlric-mean type of velocity correcCion form & ini.roduced in part I has signi_ficance MI an mer-aU type of approxim&wn in the aubsmic range. A brief review of general c d i t i o m lim3ing the potential;Raw of a n adiabatic cmpressible$uid is given cvnd application is nude to the partimhr soluticna, yielding c d 3 h a f o r the ezisknce of singulur loci in the supersonic range. The combining o f particdur solutions in accordance wtth prescribed bwnduvjlw d 3 h is not treated in thepresent paper