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Erschienen in:

2014 | OriginalPaper | Buchkapitel

4. Vortices and Molecular Fracture Transport

verfasst von : Roman Teisseyre, Maria Teisseyre-Jeleńska

Erschienen in: Asymmetric Continuum

Verlag: Springer Berlin Heidelberg

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We discuss a new approach to the vortex processes. Instead of the classic approach based on the definition of vorticity, we consider the vortex motion system as defined directly from the transport processes. The transport field related to the vortex motion can be defined basing on the angular molecular moment field related to rotations with vortex axis along the z-line (using here the cylindrical coordinates). Acting with the curl operator on the Navier–Stokes transport equation we arrive at the combined relation for vorticity and the related transport. The related transport trajectories have the six degrees of freedom in space. This new definition is based on an angular moment with a variable arm and the incorporated spin motions. Next, we consider the momentum flux as related to the new asymmetric form and the approach to the molecular stress system following Landau and Lifshitz (1959). This makes it possible to consider a single stationary vortex, near a boundary of the two opposite-direction uniform flows and even a whole row of vortices along that uniform flow. On this basis we present a model of a single turbulence with the opposite-direction stream flows and a vortex system formed when the relative velocity overpasses a laminar range, as some disturbances may appear due to a fluid viscosity. This theoretical approach seems to be adequate to describe a model of turbulence mechanics based on the vortex dynamics; we believe that this new approach opens a way to considering a mechanical model of vortex and turbulence motions at different thermodynamical conditions. …

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Titel: Vortices and Molecular Fracture Transport
verfasst von: Roman Teisseyre
Maria Teisseyre-Jeleńska
Verlag: Springer Berlin Heidelberg
Buch: Asymmetric Continuum
Print ISBN: 978-3-642-31859-7

Electronic ISBN: 978-3-642-31860-3

Copyright-Jahr: 2014
DOI: https://doi.org/10.1007/978-3-642-31860-3_4

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