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DE2001783337

Publication Date	2001
Personal Author	Hrbek, G. M.
Page Count	5
Abstract	In order to apply the power of a full group analysis to the problem of an expanding shock in planar, cylindrical, and spherical geometries, the expression for the shock front position R (t) has been modified to allow the wave to propagate through a general non-uniform medium. This representation incorporates the group parameter ratios as meaningful physical quantities and reduces to the classical Sedov-Taylor solution for a uniform media. Expected profiles for the density, particle velocity, and pressure behind a spherically diverging shock wave are then calculated using the Tait equation of state for a moderate (i.e., 20 t TNT equivalent) blast load propagating through NaC1. The changes in flow variables are plotted for Mach < 1.5. Finally, effects due to variations in the material uniformity are shown as changes in the first derivative of the bulk modulus (i.e., Ko').
Keywords	Equation of state Hydrodynamics Fluid flow Shock waves Particle velocity
Source Agency	Technical Information Center Oak Ridge Tennessee
NTIS Subject Category	46 - Physics
Corporate Authors	Los Alamos National Lab., NM.; Department of Energy, Washington, DC.
Document Type	Conference Proceedings
NTIS Issue Number	200210
Contract Number	W-7405-ENG-36

Physical interpretation of mathematically invarient k(r,p) type equations of state for hydrodynamically driven flow.

Physical interpretation of mathematically invarient k(r,p) type equations of state for hydrodynamically driven flow.
DE2001783337

Publication Date	2001
Personal Author	Hrbek, G. M.
Page Count	5
Abstract	In order to apply the power of a full group analysis to the problem of an expanding shock in planar, cylindrical, and spherical geometries, the expression for the shock front position R (t) has been modified to allow the wave to propagate through a general non-uniform medium. This representation incorporates the group parameter ratios as meaningful physical quantities and reduces to the classical Sedov-Taylor solution for a uniform media. Expected profiles for the density, particle velocity, and pressure behind a spherically diverging shock wave are then calculated using the Tait equation of state for a moderate (i.e., 20 t TNT equivalent) blast load propagating through NaC1. The changes in flow variables are plotted for Mach < 1.5. Finally, effects due to variations in the material uniformity are shown as changes in the first derivative of the bulk modulus (i.e., Ko').
Keywords	Equation of state Hydrodynamics Fluid flow Shock waves Particle velocity
Source Agency	Technical Information Center Oak Ridge Tennessee
NTIS Subject Category	46 - Physics
Corporate Authors	Los Alamos National Lab., NM.; Department of Energy, Washington, DC.
Document Type	Conference Proceedings
NTIS Issue Number	200210
Contract Number	W-7405-ENG-36