An exact partial solution to the compressible flow problems of jet formation and penetration in plane, steady flow
Abstract
A partial solution to the problem of the symmetric impact of two compressible fluid streams is derived. The plane, twodimensional 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, closedform 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.
 Publication:

Quarterly of Applied Mathematics
 Pub Date:
 April 1984
 Bibcode:
 1984QApMa..42...15K
 Keywords:

 Chaplygin Equation;
 Compressible Flow;
 Computational Fluid Dynamics;
 Jet Flow;
 Steady Flow;
 Stream Functions (Fluids);
 Flow Geometry;
 Inviscid Flow;
 Partial Differential Equations;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer