Time evolution of discontinuities at the wave head in a nonequilibrium twophase flow of a mixture of a gas and dusty particles
Abstract
Singular surface theory is employed to examine the transformation of weak waves into shock waves in a twophase flow of a gas and small solid particles. The flow is assumed not to be in equilibrium, and the particles are treated as a pseudofluid. Interactions between the gas and spherical particles are defined as drag. The state of the gas is formulated in terms of velocity, density, and temperature, while the state of the particles is described in terms of flow velocity, volume fraction, and temperature. Governing equations for momentum, continuity, and energy are formulated. Attention is given to the propagation velocity, a growth equation for a discontinuity, and behavior of the wave head. It is demonstrated that all expansion waves are eventually damped, while not all compression waves necessarily become shock waves. The results may be significant in studies of rockets, ballistics, fluidized beds, flows in planetary atmospheres, solar atmosphere studies, and in modelling cometary comas.
 Publication:

Acta Mechanica
 Pub Date:
 1983
 Bibcode:
 1983AcMec..46....1P
 Keywords:

 Gas Flow;
 Nonequilibrium Flow;
 Two Phase Flow;
 Wave Propagation;
 Compression Waves;
 Computational Fluid Dynamics;
 Numerical Integration;
 Propagation Velocity;
 Shock Wave Propagation;
 Wave Fronts;
 Fluid Mechanics and Heat Transfer