A constructive theory for shock-free, isentropic flow

Conical Shock Waves for Isentropic Euler System

Conical shock waves are generated as sharp conical solid projectiles fly supersonically in the air. We study such conical shock waves in steady supersonic flow using isentropic Euler system. The stability of such attached conical shock waves for non-symmetrical conical projectile and non-uniform incoming supersonic flow are established. Meanwhile, the existence of the solution to the Euler syst...

Shock compression and isentropic release of rhyolite

A Long Stroke Isentropic Free Piston

SUMMARY The application of a long stroke isentropic free piston compressor as the energy source for an intermittent M = 6.85 hypersonic wind tunnel is described. The advantages of comparatively long running times of up to 0.5 s and uniform reservoir conditions at up to 90 bar and 600 K are discussed. Particular problems arising from the long stroke compression associated with both viscous flow ...

Shock compression and isentropic release of granite

S U M M A R Y New equation of state data for a weathered granite shocked to about 125 GPa are reported and combined with the Westerly granite data of McQueen, Marsh & Fritz (1967). The shock velocity (Us)-particle velocity (Up) relations can be fitted with two linear regressions: Us = 4.40 + 0.6Up for a range of Up up to about 2 km s-' and Us = 2.66 + 1.49Up for a range of about 2 to 5 km s-'. ...

Existence Theory for the Isentropic Euler Equations

We establish an existence theorem for entropy solutions to the Euler equations modeling isentropic compressible fluids. We develop a new approach for constructing mathematical entropies for the Euler equations, which are singular near the vacuum. In particular, we identify the optimal assumption required on the singular behavior on the pressure law at the vacuum in order to validate the two-ter...