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Intrinsic equations of rotational gas flows

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Abstract

Considering a vortex line as aC 3 curve inE 3, equations governing the flow of a steady, compressible gas are expressed in the intrinsic form. These intrinsic relations are applied to derive some geometric properties of rotational motions, and to study a class of flows whose vortex lines form a family of helices on right circular cylinders.

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Suryanarayan, E.R. Intrinsic equations of rotational gas flows. Israel J. Math. 5, 118–126 (1967). https://doi.org/10.1007/BF02771631

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