Dimotakis, Paul E. and Miller, Paul L. (1990) Some consequences of the boundedness of scalar fluctuations. Physics of Fluids A - Fluid Dynamics, 2 (11). pp. 1919-1920. ISSN 0899-8213. doi:10.1063/1.857666. https://resolver.caltech.edu/CaltechAUTHORS:20120508-154933764
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Abstract
Values of the scalar field c(x,t), if initially bounded, will always be bounded by the limits set by the initial conditions. This observation permits the maximum variance ∼(c′^2) to be computed as a function of the mean value c. It is argued that this maximum should be expected in the limit of infinite Schmidt numbers (zero scalar species diffusivity). This suggests that c′/c on the axis of turbulent jets, for example, may not tend to a constant, i.e., independent of x/d, in the limit of very large Schmidt numbers. It also underscores a difficulty with the k^(−1) scalar spectrum proposed by Batchelor [J. Fluid Mech. 5, 113 (1959)].
| Item Type: | Article | |||||||||
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| Additional Information: | © 1990 American Institute of Physics. Received 24 August 1990; accepted 11 September 1990. We would like to acknowledge our discussions with P. Saffman, D. Meiron, and H. K. Moffatt. This work is part of a larger effort on turbulent mixing supported by AFOSR Grant No. 88-0155 and GRI Contract No. 5087-260-1467. | |||||||||
| Group: | GALCIT | |||||||||
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| Subject Keywords: | SCALAR FIELDS, FLUCTUATIONS, INITIAL CONDITIONS, FUNCTIONS, DIFFUSIVITY, TURBULENT FLOW, JETS, BOUNDARY CONDITIONS | |||||||||
| Issue or Number: | 11 | |||||||||
| Classification Code: | PACS: 47.27.-i | |||||||||
| DOI: | 10.1063/1.857666 | |||||||||
| Record Number: | CaltechAUTHORS:20120508-154933764 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120508-154933764 | |||||||||
| Official Citation: | Some consequences of the boundedness of scalar fluctuations Paul E. Dimotakis and Paul L. Miller Phys. Fluids A 2, 1919 (1990); http://dx.doi.org/10.1063/1.857666 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 31360 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 09 May 2012 16:56 | |||||||||
| Last Modified: | 09 Nov 2021 19:51 |
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