Derivation of the macroscopic continuum equations for multiphase flow

Journal Article · Fri Jan 01 04:00:00 EST 1999 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.59.1253· OSTI ID:295535

Zou, Q; He, X ^[1]; Zou, Q ^[2]

---

1. Complex System, Group T-13, MS-B213, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. Department of Mathematics, Kansas State University, Manhattan, Kansas 66506 (United States)

Macroscopic continuum equations for multiphase flow are derived from a modified Boltzmann equation using the Chapman-Enskog expansion technique. Phase separation and interface formation are naturally driven by an intermolecular interaction. At the equilibrium state, these equations reduce to previous results of thermodynamical studies. This work provides a solid physical foundation for the continuum descriptions of surface tension and will be useful for studying multiphase flow. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 295535
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 1 Vol. 59; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOLTZMANN EQUATION
CHAPMAN-ENSKOG THEORY
DISTRIBUTION FUNCTIONS
FLUID MECHANICS
MULTIPHASE FLOW
NAVIER-STOKES EQUATIONS
SURFACE TENSION