On the Geometry of the Steady Diabatic Complex-Lamellar Gas Flows
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概要
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The non-linear character of differential equations governing fluid dynamic problems has presented considerable difficulties to find out exact possible flows. Consequently many interesting devices (inverse and semi-inverse and superposability) have been introduced. The introduction of the geometric theory of surfaces and curves in fluid flow theory is also one such device, which presents the flow possible. Extending this concept to the diabatic steady gas flows herein this paper we have studied the complex-lamellar flows in which the Beltrami surfaces are a system of parabolas in a meridian plane. Intrinsic transformation is effected to obtain analytical expression for flow parameters which is a special feature of this investigation. The complex-lamellar character of the velocity implies the total pressure to be uniform along a vortex-line. The adiabatic phenomena can be discussed as a special case of this investigation.
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- 1970-04-05