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On the validity of the assumed probability density function method for modeling binary mixing/reaction of evaporated vapor in gas/liquid-droplet turbulent shear flow

Miller, R. S. and Bellan, J. (1998) On the validity of the assumed probability density function method for modeling binary mixing/reaction of evaporated vapor in gas/liquid-droplet turbulent shear flow. Symposium (International) on Combustion, 27 (1). pp. 1065-1072. ISSN 0082-0784. https://resolver.caltech.edu/CaltechAUTHORS:20171019-103758152

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Abstract

An investigation of the statistical description of binary mixing and/or reaction between a carrier gas and an evaporated vapor species in two-phase gas-liquid turbulent flows is performed through both theoretical analysis and comparisons with results from direct numerical simulations (DNS) of a two-phase mixing layer. In particular, the validity and added complications of extending single-point assumed probabolity density function (PDF) methods to two-phase flows involving evaporating droplets as sources of vapor are addressed. Noting that Favre density-weighted averaging is the most convenient form for moment transport equations for these flows, algebraic relationships are derived for the ratios of the Favre and nonweighted scalar means and variances. Comparisons with the DNS results indicate that the mixing layer centerline where the root mean square (rms) density fluctuation is >12% of the mean density. It is therefore considered appropriate to use Favre moments for the nonweighted PDF closure. A transport equation for effects. The DNS results indicate that one of these terms due to scalar-source correlations is predominantly responsible for scalar variance production, whereas the remaining three terms are of negligible magnitude. Finally, the β PDF, which is known to represent well the DNS generated mixture fraction statistics for single-phase mixing, is shown to be a poor representation for mixing of vapor resulting from droplet evaporation.


Item Type:Article
Related URLs:
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https://doi.org/10.1016/S0082-0784(98)80507-9DOIArticle
http://www.sciencedirect.com/science/article/pii/S0082078498805079?via%3DihubPublisherArticle
Additional Information:© 1998 Combustion Institute. Published by Elsevier Inc. This research was conducted at the California Institute of Technology’s Jet Propulsion Laboratory (JPL) and sponsored by General Electric (GE) through the Air Force Office of Scientific Research (AFOSR) Focused Research Initiative program with Dr. Hukam Mongia from GE serving as contract monitor. Computational resources were provided by the supercomputing facility at JPL.
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Funding AgencyGrant Number
JPL/CaltechUNSPECIFIED
General ElectricUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Issue or Number:1
Record Number:CaltechAUTHORS:20171019-103758152
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20171019-103758152
Official Citation:R.S. Miller, J. Bellan, On the validity of the assumed probability density function method for modeling binary mixing/reaction of evaporated vapor in gas/liquid-droplet turbulent shear flow, In Symposium (International) on Combustion, Volume 27, Issue 1, 1998, Pages 1065-1072, ISSN 0082-0784, https://doi.org/10.1016/S0082-0784(98)80507-9. (http://www.sciencedirect.com/science/article/pii/S0082078498805079)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82490
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Oct 2017 17:53
Last Modified:03 Oct 2019 18:55

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