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An application of the techniques of invariant imbedding to the study of rarefied gas flows. The problem of linearized Couette flow is investigated, and it is shown how the assumption of the Krook scattering model results in a formulation which is similar to that obtained in radiative transfer for conservative isotropic scattering in a plane-parallel atmosphere. By a simple enumeration of physical processes, the nonlinear integral-differential equation governing the reflection function is obtained, and a suitable transformation is shown to render this equation amenable to numerical computation. 18 pp.

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