Multidomain multiphase fluid mechanics
Abstract
A set of multiphase field equations  conservation of mass, momentum and energy  based on multiphase mechanics is developed. Multiphase mechanics applies to mixtures of phases which are separated by interfaces and are mutually exclusive. This is in contrast to the field equations of mixtures based on continuum mechanics which directly applies to molecular mixtures where the phases coexist at the same points in space. Based on the multiphase mechanics formulation, additional terms appear in the field equations when the physical size of the dispersed phase (bubble or droplet) is many times larger than the intermolecular spacing. These terms are the inertial coupling due to virtual mass and the additional viscous coupling due to unsteadiness of the flow field. These physical effects as well as the continuum inertial coupling terms were neglected in many other twophase calculations. By including this inertial coupling term, the onedimensional multiphase equations are found to give real characteristics. Furthermore, the sum of momentum equations of all phases reduces to the momentum equations of the mixture as should be expected.
 Publication:

International Journal of Heat and Mass Transfer
 Pub Date:
 December 1978
 Bibcode:
 1978IJHMT..21.1581S
 Keywords:

 Conservation Equations;
 Continuum Mechanics;
 Fluid Mechanics;
 Molecular Flow;
 Multiphase Flow;
 Bubbles;
 Flow Equations;
 Intermolecular Forces;
 Mass Distribution;
 Mixtures;
 Momentum Theory;
 Viscous Flow;
 Wakes;
 Fluid Mechanics and Heat Transfer