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Random advection of chemically reacting species

Published online by Cambridge University Press:  12 April 2006

Ronald E. Meyers ,
Edward E. O'Brien  and
L. Ridgway Scott
Ronald E. Meyers
Affiliation:
Department of Energy and Environment, Brookhaven National Laboratory, Upton, New York
Edward E. O'Brien
Affiliation:
Department of Mechanical Engineering, State University of New York, Stony Brook
L. Ridgway Scott
Affiliation:
Applied Mathematics Department, Brookhaven National Laboratory, Upton, New York
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Abstract

In the absence of molecular diffusion there exists a space-independent transformation which transforms the probability density of dynamically passive scalars undergoing chemical reaction and advection into the probability density of scalar fields undergoing advection alone. In two well-known limits the equation for the probability density of non-reacting scalars is linear and parabolic in physical space. In such cases it is shown that the equation for the probability density of reacting scalars is likewise linear and parabolic in physical space, although hyperbolic in concentration space. The general solution of such an equation is obtained and the particular case of a second-order, decaying, single-species reaction is displayed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 85 , Issue 2 , 21 March 1978 , pp. 233 - 240
Copyright
© 1978 Cambridge University Press

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