軸対称ノズル内の遷音速流れ(そのII)

概要

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In this paper, the transonic flow in the throat region of a axially-symmetric nozzle, which is identical with the flow treated in the previous paper, is studied. It is shown that an inner solution to the fourthorder approximation can be derived systematically by the derivation of an outer solution to the ninth-order approximation and by using the methods of matched asymptotic expansions. When comparing the inner solution obtained in this paper with Hall's solution, though his solution corresponds to the present inner solution to the third-order approximation, and in reviewing his work, it was discovered that his axisymmetric solution contained errors in the third-order solution and the ratio of the mass flow. Since his work is widely used in the field, the corrected third-order axisymmetric solution is given. Numerical examples are also given for air (the ratio of specific heats γ=1.4) flowing through nozzles with some values of small parameter E.
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