Asymptotic Behavior of Rotating Rarefied Gases with Evaporation and Condensation

Abstract

The asymptotic behavior of the cylindrical Couette flow problem for a rarefied rotating gas with evaporation and condensation is studied when the state of equilibrium is perturbed by the following small thermodynamic forces: (i) the pressure difference of the evaporating gas; (ii) the angular velocity difference of the cylinders; and (iii) the temperature difference of the cylinders. The problem is solved by using the hydrodynamic equations that follow from the balance equations of mass, momentum and energy of a viscous heat conducting rarefied gas. The hydrodynamic equations are solved analytically by considering slip and jump boundary conditions. The fields of density, velocity, temperature, heat flux vector and viscous stress tensor are calculated as functions of the Knudsen number for each thermodynamic force and for different values of the angular velocity. The asymptotic behavior of these fields are compared with those obtained from the kinetic equation.

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Document Details

Document Type
Technical Report
Publication Date
Jul 09, 2000
Accession Number
ADA400966

Entities

People

  • Felix Sharipov
  • Gilberto M. Kremer
  • Liliana M. Cumin

Organizations

  • Universidade Federal do Paraná

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Condensation
  • Constitutive Equations
  • Couette Flow
  • Differential Equations
  • Energy
  • Equations
  • Evaporation
  • Flow
  • Gas Flow
  • Gases
  • Heat Energy
  • Heat Flux
  • Heat Transfer
  • Knudsen Number
  • Momentum
  • Rarefied Gases

Readers

  • Combustion and Flow Dynamics.
  • Fluid Dynamics.