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
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description 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.
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source Elsevier ScienceDirect Journals; EZB-FREE-00999 freely available EZB journals
subjects 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
title Models of velocity fluctuations and exactly derivable diffusion laws
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