Eddy diffusivities of inertial particles in random Gaussian flows

Abstract

We investigate the large-scale transport of inertial particles. We derive explicit analytic expressions for the eddy diffusivities for generic Stokes times. These latter expressions are exact for any shear flow while they correspond to the leading contribution either in the deviation from the shear flow geometry or in the Péclet number of general random Gaussian velocity fields. Our explicit expressions allow us to investigate the role of inertia for such a class of flows and to make exact links with the analogous transport problem for tracer particles.

arXiv comment5 pages, 4 figures

References in corpus (4)

• Passive advection of a vector field: Anisotropy, finite correlation time, exact solution and logarithmic corrections to ordinary scaling
• On the terminal velocity of sedimenting particles in a flowing fluid
• Eddy diffusivities of inertial particles under gravity
• Interference phenomena in scalar transport induced by a noise finite correlation time

Cited by in corpus (4)

• Generalization of Taylor's formula to particles of arbitrary inertia
• Eddy diffusivity of quasi-neutrally-buoyant inertial particles
• Settling velocity of quasi-neutrally-buoyant inertial particles
• Convergence of stochastic structure-preserving schemes for computing effective diffusivity in random flows