KINETIC THEORY ANALYSIS OF TEMPERATURE JUMP IN A POLYATOMIC GAS.
CALIFORNIA UNIV BERKELEY DIV OF AERONAUTICAL SCIENCES
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A kinetic theory analysis of the temperature jump at the wall and the temperature distribution near the wall in polyatomic gases has been made. The collision term in the Boltzmann equation is represented by a classical BGK-type polyatomic model. The problem was linearized by considering small temperature and density variations over their respective mean values, which leads to three simultaneous singular linear integral equations. For the solution of the problem, a direct numerical method was used. The integral equations were reduced to a set of simultaneous linear equations for discrete values of the dependent variables by approximating the integrals with suitable quadrature formulas. The solution of this problem shows that, contrary to some suggestions in the literature, the expression for the temperature jump of a monatomic gas cannot be simply extended to apply also to polyatomic gases. Author
- Physical Chemistry