On the explicit incorporation of surface effects into the multiphase mixture balance laws

Interfacial conditions for multiphase flows are formulated on the microscale to include the possibility of surface effects. These conditions are then averaged to obtain macroscopic continuum equations which may be used in describing multiphase flows. A transformation is presented whereby the resultant macroscopic equations can be rewritten in a form identical to that which has been developed previously for a multiphase system not influenced by interfacial effects. This transformation is shown to have an impact on the forms of the intraphase stress tensor and heat flux vector in addition to the interphase stress and heat flux terms. Inclusion of interfacial effects is demonstrated to be essential to the proper understanding of phase interaction.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/25521/1/0000062.pd