Stress in dilute suspensions
Abstract
Generally, two types of theory are used to describe the field equations for suspensions. The socalled postulated equations are based on the kinetic theory of mixtures, which logically should give reasonable equations for solutions. The basis for the use of such theory for suspensions is tenuous, though it at least gives a logical path for mathematical arguments. It has the disadvantage that it leads to a system of equations which is underdetermined, in a sense that can be made precise. On the other hand, the socalled averaging theory starts with a determined system, but the very process of averaging renders the resulting system underdetermined. A third type of theory is proposed in which the kinetic theory of gases is used to motivate continuum equations for the suspended particles. This entails an interpretation of the stress in the particles that is different from the usual one. Classical theory is used to describe the motion of the suspending medium. The result is a determined system for a dilute suspension. Extension of the theory to more concentrated systems is discussed.
 Publication:

Constitutive Relationships and Models in Continuum Theories of Multiphase Flows
 Pub Date:
 September 1989
 Bibcode:
 1989crmc.nasa...57P
 Keywords:

 Multiphase Flow;
 Solutions;
 Stress Distribution;
 Constitutive Equations;
 Continuum Mechanics;
 Flow Theory;
 Kinetic Theory;
 Fluid Mechanics and Heat Transfer