The Ohio State University

Abstract:

Dr. William T. Sha, Multiphase Flow Research Institute, Director Emeritus, Argonne National Laboratory, will present a set of rigorously derived conservation equations of mass, momentum and energy for multiphase flow systems with internal fixed and dispersed solid structures. The starting point of the derivation is the well established phasic conservation equations of mass, momentum and energy and their interfacial balance relations. The local volume averaging is carried out for these phasic conservation equations and interfacial balance relations first, and followed by the time averaging of the local volume averaged phasic equations and balanced relations. A set of time averaging of the local volume averaged conservation equations is in differential integral form and is not a set of partial differential equations as currently "appear" in most literatures on multiphase flows. The time-volume averaged conservation equations of mass, momentum and energy serve as a reference point for modeling multiphase flow with simplified approximations and provide theoretical guidance and physical insight that may be useful to develop correlations for quantifying interfacial mass, momentum and energy transfer between phases.