Costanza, Vicente and Seinfeld, John H. (1981) A differentiable trajectory approximation to turbulent diffusion. Physics of Fluids, 24 (10). pp. 1769-1773. ISSN 1070-6631 http://resolver.caltech.edu/CaltechAUTHORS:20120717-155342781
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The problem of turbulent diffusion is posed as determining the time evolution of the probability density of the concentration given those for the fluid velocity components, sources, and the initial concentration. At each time, all variables are elements of the Hilbert space L^2_R(R^3), and a finite-dimensional approximation based on expansions in orthonormal basis functions is developed. An expression for the joint probability density of all the Fourier coefficients is derived, the evaluation of which is shown to be particularly straightforward. Diffusion of material from a single source in an unbounded mildly turbulent fluid is considered as an application.
|Additional Information:||© 1981 American Institute of Physics. Received 17 February 1981; accepted 20 July 1981.|
|Subject Keywords:||diffusion; turbulence; velocity; probability; fluids; analytical solution|
|Classification Code:||PACS: 47.27.T-|
|Official Citation:||A differentiable trajectory approximation to turbulent diffusion Vicente Costanza and John H. Seinfeld, Phys. Fluids 24, 1769 (1981), DOI:10.1063/1.863253|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Aucoeur Ngo|
|Deposited On:||18 Jul 2012 14:40|
|Last Modified:||26 Dec 2012 15:35|
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