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Some Remarks on Uberoi's Data Analysis in respect of Grid Turbulence


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1 Dattapukur Mahes Vidyapith, India
     

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The workers in the field of turbulence are quite aware of Uberoi's data in respect of grid turbulence and general decay law in grid turbulence for its early period of decay. One further finds that Uberoi's data fits well with Ghosh's self-preserving energy spectrum function given in tabular forms , where self-preservations in the energy spectrum zone k -» 0 to k-»°° have no break of self-similarity anywhere [cf Karman and Lin ] In sharp contrast to above, Batchelor and Townsend , and Stewart and Townsend' have the results contradicting those of the American School lead by Uberoi . According to the authors of the present paper, the difference lies in the fact that in case of Uberoi's findings, there is no break of self-similarity anywhere in the energy spectrum tables while in the findings of Cambridge school, there are obvious break of self-similarity at the left end of the self-similar energy spectrum of turbulence. Uberoi's findings compared to the tables of Ghosh, while findings of Cambridge compared to energy spectrum tables of Chandrasekhar as derived from Hcisenberg's self-similar behaviours of turbulent energy spectrum functions.

Keywords

Reynold's Number. Grid Turbulence, Geometry Of The Grid. Self-preservation, Turbulent Energy Spectrum Functions, Dissipation, Cylindrically Symmetric Turbulence. Asymptotic Behaviour.
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  • Some Remarks on Uberoi's Data Analysis in respect of Grid Turbulence

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Authors

K. M. Ghosh
Dattapukur Mahes Vidyapith, India
P. Debnath
Dattapukur Mahes Vidyapith, India

Abstract


The workers in the field of turbulence are quite aware of Uberoi's data in respect of grid turbulence and general decay law in grid turbulence for its early period of decay. One further finds that Uberoi's data fits well with Ghosh's self-preserving energy spectrum function given in tabular forms , where self-preservations in the energy spectrum zone k -» 0 to k-»°° have no break of self-similarity anywhere [cf Karman and Lin ] In sharp contrast to above, Batchelor and Townsend , and Stewart and Townsend' have the results contradicting those of the American School lead by Uberoi . According to the authors of the present paper, the difference lies in the fact that in case of Uberoi's findings, there is no break of self-similarity anywhere in the energy spectrum tables while in the findings of Cambridge school, there are obvious break of self-similarity at the left end of the self-similar energy spectrum of turbulence. Uberoi's findings compared to the tables of Ghosh, while findings of Cambridge compared to energy spectrum tables of Chandrasekhar as derived from Hcisenberg's self-similar behaviours of turbulent energy spectrum functions.

Keywords


Reynold's Number. Grid Turbulence, Geometry Of The Grid. Self-preservation, Turbulent Energy Spectrum Functions, Dissipation, Cylindrically Symmetric Turbulence. Asymptotic Behaviour.