Models of velocity fluctuations and exactly derivable diffusion laws

The mass conservation law for the transport of substance in a stochastic velocity field is used to derive exactly the diffusion laws for the mean or average concentration field. To do this, two models of fluctuation of the stochastic velocity field are used. Two respective diffusion equations are ob...

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Veröffentlicht in:	Applied mathematical modelling 1990, Vol.14 (10), p.549-552
1. Verfasser:	LIMIC, N
Format:	Artikel
Sprache:	eng
Schlagworte:	diffusion Exact sciences and technology Fluctuation phenomena, random processes, noise, and brownian motion fluid mechanics Physics Statistical physics, thermodynamics, and nonlinear dynamical systems stochastic models velocity
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	The mass conservation law for the transport of substance in a stochastic velocity field is used to derive exactly the diffusion laws for the mean or average concentration field. To do this, two models of fluctuation of the stochastic velocity field are used. Two respective diffusion equations are obtained differing essentially in features.
ISSN:	0307-904X
DOI:	10.1016/0307-904X(90)90188-B