Published November 1990
| Published
Journal Article
Open
Some consequences of the boundedness of scalar fluctuations
- Creators
- Dimotakis, Paul E.
- Miller, Paul L.
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)].
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.Attached Files
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Additional details
- Eprint ID
- 31360
- Resolver ID
- CaltechAUTHORS:20120508-154933764
- Air Force Office of Scientific Research (AFOSR)
- 88-0155
- Gas Research Institute
- 5087-260-1467
- Created
-
2012-05-09Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field
- Caltech groups
- GALCIT