Seminars & Events

Computing, Environment and Life Sciences
"Novel Porous Media Formulation for Multiphase Flow Conservation Equations"

DATE: December 12, 2011
TIME: 1:00 PM - 2:00 PM
SPEAKER: Dr. William T. Sha, Multiphase Flow Research Institute, Director Emeritus, Argonne National Laboratory and President of
LOCATION: Building 240, Conference Room 1404, Argonne National Laboratory
HOST: Rick Stevens

Description:
Dr. Sha will present a set of rigorously derived conservation equations of mass, momentum, and energy for multiphase systems with internal-stationary-solid structures. The starting point of the derivation is the conservation of mass, momentum, and energy equations and their interfacial balance equations. The local volume averaging is carried out first for the conservation equations and their interfacial balance equations, and followed by the time averaging of the local volume averaged conservation equations and their interfacial balance equations. A set of time averaging of 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 integrals arise due to interfacial mass, momentum and energy transfer. The time-volume averaged conservation equations of mass, momentum, and energy and their interfacial balance equations 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.

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