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The scalar spectrum in the viscous-convective subrange

Published online by Cambridge University Press:  28 March 2006

James O. Nye  and
Robert S. Brodkey
James O. Nye
Affiliation:
Present address: Monsanto Company, Texas City, Texas. Department of Chemical Engineering, The Ohio State University, Columbus, Ohio
Robert S. Brodkey
Affiliation:
Department of Chemical Engineering, The Ohio State University, Columbus, Ohio
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Abstract

A modified design of a fibre optic light probe was used for the measurement of turbulent concentration fluctuations and the spectra associated with these. The main object was to establish experimentally the nature of the scalar spectrum in the viscous-convective subrange. The existence of a spectral region with a (-1)-power law form supports the uniform straining model proposed by Batchelor (1959) for Schmidt numbers (v/D) much greater than unity. For this range, the data do not agree with the cascading process suggested by Pao (1965).

An additional object was to study further the decay of the concentration fluctuations in terms of a measure of the turbulent mixing. More specifically, the limitations of applying the isotropic stationary mixing theory of Corrsin (1957, 1964a) to a shear pipe flow situation and the validity of the earlier data for this case (Lee & Brodkey 1964; Brodkey 1966a, b; and Gegner & Brodkey 1966) were investigated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 29 , Issue 1 , 18 July 1967 , pp. 151 - 163
Copyright
© 1967 Cambridge University Press

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References

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