An exact partial solution to the compressible flow problems of jet formation and penetration in plane, steady flow

Autor: Robert R. Karpp
Rok vydání: 1984
Předmět:
Zdroj: Quarterly of Applied Mathematics. 42:15-29
ISSN: 1552-4485
0033-569X
DOI: 10.1090/qam/736502
Popis: The particle solution of the problem of the symmetric impact of two compressible fluid stream is derived. The plane two-dimensional flow is assumed to be steady, and the inviscid compressible fluid is of the Chaplygin (tangent gas) type. The equations governing this flow are transformed to the hodograph plane where an exact, closed-form solution for the stream function is obtained. The distribution of fluid properties along the plane of symmetry and the shape of free surface streamlines are determined by transformation back to the physical plane. The problem of a compressible fluid jet penetrating an infinite target of similar material is also solved by considering a limiting case of this solution. Differences between compressible and incompressible flows of the type considered are illustrated.
Databáze: OpenAIRE