Field equation for interface propagation in an unsteady homogeneous flow field

Journal Article · Fri Apr 01 04:00:00 EST 1988 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.37.2728· OSTI ID:5437490

Kerstein, A R; Ashurst, W T; Williams, F A

The nonlinear scalar field equation governing the propagation of an unsteadily convected interface is used to derive a convenient expression for the average volume flux through such an interface in a homogeneous flow field. For a particular choice of the initial scalar field, the average volume flux through any such interface is expressed as a volume-averaged functional of the evolving scalar field, facilitating analysis based on renormalized perturbation theory and numerical simulation. It is noted that this process belongs to a different universality class from the propagation model of M. Kardar, G. Parisi, and Y.-C. Zhang (Phys. Rev. Lett. 56, 889 (1986)).

• Research Organization: Combustion Research Facility, Sandia National Laboratories, Livermore, California 94550
• OSTI ID: 5437490
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 37:7; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CHEMICAL REACTIONS
COMBUSTION
CONVECTION
ENERGY TRANSFER
EQUATIONS
FIELD EQUATIONS
FLUID FLOW
HEAT TRANSFER
HUYGENS PRINCIPLE
INTERFACES
MASS TRANSFER
OXIDATION
SCALAR FIELDS
THERMOCHEMICAL PROCESSES
UNSTEADY FLOW