Vol. 4, No. 1, 2009

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ISSN: 2157-5452 (e-only)
ISSN: 1559-3940 (print)
Shear flow laminarization and acceleration by suspended heavy particles: A mathematical model and geophysical applications

Grigory Isaakovich Barenblatt

Vol. 4 (2009), No. 1, 153–175
Abstract

A modified model of turbulent shear flow of a suspension of small heavy particles in a fluid is presented. The modification is based on the assumption that in the flow there are two sorts of particles. For the particles of the first sort the velocity of free fall a1 is larger than the characteristic velocity fluctuation, for the particles of the second sort the velocity of free fall a2 is less than the characteristic velocity of fluctuation.

Keywords
turbulence, turbulent shear flows, laminarization of turbulent flows, dust storms, tropical hurricanes, firestorms
Mathematical Subject Classification 2000
Primary: 76F10
Milestones
Received: 19 November 2008
Revised: 19 October 2009
Accepted: 20 October 2009
Published: 10 November 2009
Authors
Grigory Isaakovich Barenblatt
Lawrence Berkeley National Laboratory
1 Cyclotron Road
Mail Stop 50A/1148
Berkeley, CA 94720
United States
http://math.lbl.gov/barenblatt/barenblatt.html