Three-dimensional shock-change relations for reactive fluids

Technical Report · Mon May 01 00:00:00 EDT 1978

DOI:https://doi.org/10.2172/6752317· OSTI ID:6752317

Rabie, R L; Wackerle, J

The equations of motion governing reactive fluid flow, together with the Rankine--Hugoniot jump conditions and thermodynamic considerations, are used to develop one- and three-dimensional shock-change relations for shock waves propagating in reactive fluids. The relations are derived in Cartesian space coordinates, for a uniform, motionless state ahead of the shock. In three dimensions, parameterization of the shock surface in terms of two independent curvilinear surface coordinates and the use of some results from the theory of surfaces are required, but the shock-change relation obtained depends on the surface configuration only through the mean curvature. One form of shock-change relation, both in three dimensions and in its one-dimensional specialization, is developed without recourse to the jump conditions. These conditions and thermodynamic considerations are then used to cast the relations in terms of different state variables and to show the relative effects on the shock change of reaction in, and immediately behind, the shock front. Simplifications are indicated for evaluating thermodynamic derivatives and applying shock-change relations with common equation-of-state assumptions.

• Research Organization: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 6752317
• Report Number(s): LA-7253
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
45 MILITARY TECHNOLOGY, WEAPONRY, AND NATIONAL DEFENSE
DETONATION WAVES
THREE-DIMENSIONAL CALCULATIONS
EXPLOSIONS
ONE-DIMENSIONAL CALCULATIONS
SHOCK WAVES
WAVE PROPAGATION
640420* - Fluid Physics- Properties & Structure of Fluids- (-1987)
450000 - Military Technology
Weaponry
& National Defense