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A cascade interpretation of Lundgren’s stretched spiral vortex model for turbulent fine structure

 

作者: Andrew D. Gilbert,  

 

期刊: Physics of Fluids A  (AIP Available online 1993)
卷期: Volume 5, issue 11  

页码: 2831-2834

 

ISSN:0899-8213

 

年代: 1993

 

DOI:10.1063/1.858746

 

出版商: AIP

 

数据来源: AIP

 

摘要:

Lundgren’s [Phys. Fluids25, 2193 (1982)] model for turbulent fine structure comprises coherent vortices which wind up vorticity variations into spiral structures; simultaneously the vortices are stretched axially by a background strain field. The model predicts ak−5/3energy spectrum and is remarkably robust to the form of the coherent vortices and the form of the vorticity variations. To understand this the present article introduces a simple cascade argument which illuminates how the dynamical processes of vortex stretching and reduction of scale conspire to give this Kolmogorov spectrum. Some generalizations are considered.

 

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