Correctness of the Cauchy problem for the twofluid model of a gasparticle mixture
Abstract
The correctness of the Cauchy problem is examined in the framework of the twofluid model for the onedimensional unsteady flow of a mixture of gas and dispersed solid particles. The analysis is carried out both with and without allowance for the volume occupied by the particles. In both cases norms are proposed in which the problem is correct even in the case when 'small ripples' on the initial data cause intersections of particle trajectories. Particular attention is given to the introduction of norms in which the problem, incorrect in some other norm, becomes correct without changing the model.
 Publication:

Prikladnaia Matematika i Mekhanika
 Pub Date:
 June 1982
 Bibcode:
 1982PriMM..46..420K
 Keywords:

 Cauchy Problem;
 Computational Fluid Dynamics;
 One Dimensional Flow;
 Two Fluid Models;
 Two Phase Flow;
 Unsteady Flow;
 Linear Equations;
 Particle Trajectories;
 Suspending (Mixing);
 Fluid Mechanics and Heat Transfer