Critical times of generating shocks on smooth onedimensional pressure wakes in inviscid fluids
Abstract
The balance equations which govern the unsteady onedimensional motion of an inviscid compressible fluid are considered, taking into account pressure wakes which spread through compressible media. Multiplevalued solutions arise in connection with the nonlinearity of the balance equations. The considered motion represents the flow in an infinite tube caused by a small periodical movement of a piston at the end of the tube. Previous studies concerning the onedimensional equation describing the flow have only provided a rough estimate of the time t(0) when the classical solution breaks down. In the present investigation, an exact analytical formula for t(0) is derived.
 Publication:

Acta Technica
 Pub Date:
 1983
 Bibcode:
 1983AcTec..28..629S
 Keywords:

 Compressible Fluids;
 Computational Fluid Dynamics;
 Inviscid Flow;
 One Dimensional Flow;
 Pressure Distribution;
 Shock Wave Propagation;
 Hydrodynamic Equations;
 Pressure Gradients;
 Unsteady Flow;
 Wakes;
 Fluid Mechanics and Heat Transfer