A generalization of the Chapman-Enskog and Grad methods

By using the method of Chapman-Enskog 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 five-field theory leads to the same results as those obtained through the method of Chapman-Enskog.