KINETIC THEORY OF THERMAL CONDUCTION IN A COLLISIONLESS GAS.
PRINCETON UNIV N J GAS DYNAMICS LAB
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The kinetic theory of thermal conduction in a collisionless gas in an arbitrary closed system was developed. The pressure, density, temperature and isotropicity I in the system are not uniformly distributed in general, but PIsquare root of T and n square root of TI are invariants throughout the whole region according to the revised law of thermal transpiration developed recently by Wu. The thermal conductance was defined as a matrix in a multicomponent system. It is not only linearly dependent on the mean density in the system at a given temperature distribution on the boundary, but is also dependent on the geometry and the reflection law on the boundary of the system. Several geometries were considered, such as parallel plates, triangular parallel plates, cubes, polygons, polygonal parallel plates and others. A similarity law was established showing equivalence among the systems of different geometries. Author
- Fluid Mechanics