Publication Details

Reference Category Journals
DOI / URL link
Title (Primary) Effective velocity for transport in heterogeneous compressible flows with mean drift
Author Attinger, S.; Abdulle, A.;
Journal Physics of Fluids
Year 2008
Department CHS;
Volume 20
Issue 1
Language englisch;
Abstract Solving transport equations in heterogeneous flows might give rise to scale dependent transport behavior with effective large scale transport parameters differing from those found on smaller scales. For incompressible velocity fields, homogenization methods have proven to be powerful in describing the effective transport parameters. In this paper, we aim at studying the effective drift of transport problems in heterogeneous compressible flows. Such a study was done by Vergassola and Avellaneda in Physica D 106, 148 (1997). There, it was shown that for static compressible flow without mean drift, impacts on the large scale drift do not occur. We will first discuss the impact of a mean drift and show that static compressible flow with mean drift can produce a heterogeneity driven large scale drift (or ballistic transport). For the case of Gaussian stationary random processes, we derive explicit results for the large scale drift. Moreover, we show that the large scale or effective drift depends on the small scale diffusion coefficients and thus on the molecular weights of the particles. This study could be applied to weight-based particle separation. Numerical simulations are presented to illustrate these phenomena.
ID 752
Persistent UFZ Identifier http://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=752
Attinger, S., Abdulle, A. (2008):
Effective velocity for transport in heterogeneous compressible flows with mean drift
Phys. Fluids 20 (1), 016102