A generalization of the ChapmanEnskog and Grad methods
Abstract
By using the method of ChapmanEnskog as a base, we have determined successive approximations of any order to the transport coefficients of shear viscosity and thermal conductivity for a monatomic ideal gas. The expressions for the transport coefficients involve only integrals which can be evaluated once the law of interaction between the spherically symmetrical particles is known. Moreover, we have developed a (13 + 9N)field theory based on the method of Grad and showed that the transition from this theory to a fivefield theory leads to the same results as those obtained through the method of ChapmanEnskog.
 Publication:

Continuum Mechanics and Thermodynamics
 Pub Date:
 September 1991
 DOI:
 10.1007/BF01135334
 Bibcode:
 1991CMT.....3..155R
 Keywords:

 ChapmanEnskog Theory;
 Ideal Gas;
 Monatomic Gases;
 Shear Layers;
 Thermal Conductivity;
 Transport Properties;
 Density Distribution;
 Heat Transfer;
 Particle Interactions;
 Thermodynamics and Statistical Physics;
 Viscosity;
 Thermal Conductivity;
 Field Theory;
 Shear Viscosity;
 Successive Approximation