Self-Simulating Solutions in Transonic Gas Dynamics,
Abstract
Some general properties of self-similar solutions of transonic flows, both plane and axisymmetric, are investigated in detail. A given governing differential equation is rewritten, using the given Legendre transformation. Conditions for a similar solution are obtained from a given equation where it is shown that the functions g and q must have a given form. The main analysis is carried out in the (s, t) plane instead of in the hodograph plane. It is shown that a given curve can be determined if a given function is known. A complete description is then given of shown integral curves. Self-similar solutions for three special cases are investigated. The flow inside a nozzle is considered first. The second special case is that of a local supersonic flow bounded by a shock wave from below. The third case is that of a plane transonic flow far from the surface of an object.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 29, 1971
- Accession Number
- AD0727194
Entities
People
- I. A. Chernov
Organizations
- National Air and Space Intelligence Center