THEORY OF THERMAL CONDUCTANCE IN A COLLISIONLESS GAS,

Abstract

The theory of thermal conductance in a collisionless gas in an arbitrary closed system has been developed. The pressure, density, temperature and isotropicity (I) in the system are not uniformly distributed in general, but PI/square root of T and n square root of TI are invariants throughout the whole region according to the revised theory of thermal transpiration developed recently by Wu. The thermal conductance has been defined as a matrix in a multi-component system. It is not only linearly dependent on the mean density in the system at a given temperature distribution on the boundary, but also depends on the geometry and the reflection law on the boundary of the system. Several geometries have been considered, such as triangular parallel plates, cubes, polygons, polygonal parallel plates and others. A similarity law has been established showing equivalence among the systems of different geometries. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1965
Accession Number
AD0631737

Entities

People

  • Yau Wu

Organizations

  • Princeton University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Geometry
  • Mathematics
  • Reflection
  • Square Roots

Fields of Study

  • Physics

Readers

  • Combustion and Flow Dynamics.
  • Fluid Dynamics.
  • Graph Algorithms and Convex Optimization.