Half-Space Problem of Weak Evaporation and Condensation of a Binary Mixture of Vapors

Abstract

Half-space problem of weak evaporation and condensation of a binary mixture of vapors is investigated on the basis of the BGK-type Boltzmann model. By a systematic asymptotic analysis, it is shown that the steady evaporation and condensation takes place only if the parameters that characterize the state of the condensed phase and that of the vapors at a far distance satisfy one relation for the condensation case and three relations for the evaporation case. As an application, the resulting relations are used as the boundary conditions of the Euler system in the study of the two-surface problem of a vapor mixture for small Knudsen numbers. This system has two branches of solutions, which causes two different solutions for the same physical situation in the continuum limit. This result is discussed in connection with the ghost effect.

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Document Details

Document Type
Technical Report
Publication Date
Jul 13, 2005
Accession Number
ADA446077

Entities

People

  • Shigeru Takata

Organizations

  • Kyoto University

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • Cartesian Coordinates
  • Condensation
  • Convection
  • Engineering
  • Equations
  • Evaporation
  • Flow
  • Fluids
  • Kinetic Theory
  • Knudsen Number
  • Mean Free Path
  • Partial Pressure
  • Vapors

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster