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Determination of the thermal-conductivity coefficient and the viscosity coefficient of a gas on the basis of the model of absolutely elastic rotating spheres
Authors:M. P. Korotkov
Affiliation:1. Moscow
Abstract:We carry out calculations for the thermal-conductivity coefficient and also the coefficients of first viscosity and second viscosity for a new model of absolutely elastic spheres, which was introduced in [1]. This model together with the model of rough spheres is the simplest among the models taking into account the rotation of molecules, which allows us to comparatively easily obtain expressions for the phenomenological coefficients. The simplicity of the models is no obstacle to the application of these models to real gases. Thus the ratio of the specific heatsγ for these models is equal to 4/3. Examples of gases for which this ratio is closest to 4/3 are chlorine (γ=1.355), methane, and ammonia (γ= 1.310) [3]. Besides this, both of these models make it possible to obtain corrections for the rotation to the coefficient of second viscosity and of thermal conductivity. These corrections explain why the damping of sound waves in ammonia is approximately 5/3 of the damping that would occur in the presence of only ordinary viscosity and thermal conductivity [3].
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