On the material description of a motion associated with a spatially steady velocity field

R. R. Huilgol

doi:10.1007/BF00945087

On the material description of a motion associated with a spatially steady velocity field

R. R. Huilgol

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

A necessary and sufficient condition for a velocity field to be steady in the spatial description when the motion is defined in a material description is derived. The derivation depends on an application of the theory of dynamical systems. Secondly, relations between the material description of a motion, which gives rise to a steady velocity field, and symmetric hyperbolic equations are derived and a conservation law for steady flow kinematics is established.

Original language	English
Pages (from-to)	270-273
Number of pages	4
Journal	ZAMP Zeitschrift für angewandte Mathematik und Physik
Volume	37
Issue number	2
DOIs	https://doi.org/10.1007/BF00945087
Publication status	Published - Mar 1986

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abstract = "A necessary and sufficient condition for a velocity field to be steady in the spatial description when the motion is defined in a material description is derived. The derivation depends on an application of the theory of dynamical systems. Secondly, relations between the material description of a motion, which gives rise to a steady velocity field, and symmetric hyperbolic equations are derived and a conservation law for steady flow kinematics is established.",

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AB - A necessary and sufficient condition for a velocity field to be steady in the spatial description when the motion is defined in a material description is derived. The derivation depends on an application of the theory of dynamical systems. Secondly, relations between the material description of a motion, which gives rise to a steady velocity field, and symmetric hyperbolic equations are derived and a conservation law for steady flow kinematics is established.

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On the material description of a motion associated with a spatially steady velocity field

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