Abstract

By applying Enskog's first-order solution of Boltzmann's equation one can find kinetic theory analogs of Rayleigh's equations of continuity, momentum, and energy. By specializing these equations to one dimension, one obtains equations describing the propagation of plane waves of arbitrary amplitude. By further restricting these equations to small amplitude perturbations on a uniform medium one obtains a first-order wave equation, containing all loss effects. This kinetic theory equation is almost identical with the equation which Rayleigh uses to discuss viscous losses alone. The heat flow losses which Rayleigh finds appear to be the result of the rather artificial concept of heat conductivity used in the theory of continuous media. A change to the kinetic theory equations would, apparently, increase the gap between theoretical and measured values of sound attenuation in gases.

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