A note on the “principle of material frame-indifference in the limit of two-dimensional turbulence”
✍ Scribed by Yu-Ning Huang
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 122 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1007-5704
No coin nor oath required. For personal study only.
✦ Synopsis
In this note we show that the setting up of the ''principle of material frame-indifference in the limit of two-dimensional turbulence'' by Speziale in the 1980s, which has been applied to turbulence modelling for the past two decades as seen from the literature, is unsound-in fact, there is an inconsistency in dealing with the fluctuating pressure which leads to contradicting the physical facts of turbulence. We conclude that this so-called ''principle of material frame-indifference in the limit of two-dimensional turbulence'' for turbulence modelling should be discarded.
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## Abstract In this paper the shearing advection term, suggested recently by H. Lettau, is introduced into the well‐known two‐dimensional equation formulated by Sutton and Calder in their treatment of turbulent diffusion, and a solution of the ensuing equation is obtained subject to the conditions