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A Numerical Evaluation of the Stochastic Completeness of the Kinetic Coagulation Equation

Valioulis, Iraklis A. and List, E. John (1984) A Numerical Evaluation of the Stochastic Completeness of the Kinetic Coagulation Equation. Journal of the Atmospheric Sciences, 41 (16). pp. 2516-2529. ISSN 0022-4928. http://resolver.caltech.edu/CaltechAUTHORS:VALjas84

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Abstract

The stochastic completeness of the kinetic coagulation equation depends on the extent of correlations between particle properties. Such correlations are induced by the coalescence process that causes spatial inhomogeneities in the number concentration of the particles, and are particularly strong in poorly mixed suspensions. A Monte Carlo simulation of the coalescence process is used to evaluate the suitability of the kinetic coagulation equation to simulate the coalescence process using Brownian diffusion, fluid shear and differential sedimentation collision kernels. It is demonstrated that the outcome of the kinetic equation matches well the true stochastic averages, unless the number concentration of particles involved is very small. In that case, the discrepancies between the two approaches are substantial in the large end of the particle size spectrum.


Item Type:Article
Additional Information:© 2006 American Meteorological Society Manuscript received November 7, 1983, in final form June 11, 1984 The authors gratefully acknowledge the financial support of the Ocean Assessment Division-National Ocean Service-NOAA through Grant No. NA82RAW0004 and the Mellon Foundation through a grant to the Environmental Quality Laboratory at Caltech.
Record Number:CaltechAUTHORS:VALjas84
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:VALjas84
Alternative URL:http://dx.doi.org/10.1175/1520-0469(1984)041<2516:ANEOTS>2.0.CO;2
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6799
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:22 Dec 2006
Last Modified:26 Dec 2012 09:25

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