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Kinetic Theory of a Gas with Internal Degrees of Freedom
Author(s) -
Jehring L.
Publication year - 1984
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19840641212
Subject(s) - viscous stress tensor , cauchy stress tensor , classical mechanics , angular momentum , physics , position (finance) , momentum (technical analysis) , tensor (intrinsic definition) , degrees of freedom (physics and chemistry) , kinetic theory , mechanics , viscosity , limiting , heat flux , moment (physics) , stress (linguistics) , thermodynamics , mathematics , heat transfer , geometry , mechanical engineering , linguistics , philosophy , finance , engineering , economics
Applying the moment method of H. Grad, a closed set of balance equations for density, momentum, angular momentum, stress and couple‐stress tensor, and heat flux is derived for a rarefied gas composed of non‐rigid dumb‐bell shaped particles. Averaging these equations over all values of size and orientation of the particles yields new balance equations governing the gas if the structure of the particles changes essentially faster than the position of their centres of mass. In a limiting case the volume viscosity is given in terms of the collision frequency.