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ICHMT DIGITAL LIBRARY ONLINE

ISSN 961-91393-0-5

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Year 2006

Volume 1 - Turbulence, Heat and Mass Transfer 5
Proceeding of The International Symposium on Turbulence, Heat and Mass Transfer - Dubrovnik, Croatia, September 25-29, 2006

806 pages

Volume price - $246.00

Passive scalar gradient dynamics in Burgers' vortex

A. Garcia
CNRS, UMR 6614, Laboratoire de Thermodynamique, CORIA, Site universitaire du Madrillet, 76801 Saint-Etienne du Rouvray, France

M. Gonzalez
CNRS, UMR 6614, Laboratoire de Thermodynamique, CORIA, Site universitaire du Madrillet, 76801 Saint-Etienne du Rouvray, France

L. Danaila
CNRS, UMR 6614, Laboratoire de Thermodynamique, CORIA, Site universitaire du Madrillet, 76801 Saint-Etienne du Rouvray, France

P. Paranthoen
CNRS, UMR 6614, Laboratoire de Thermodynamique, CORIA, Site universitaire du Madrillet, 76801 Saint-Etienne du Rouvray, France

ABSTRACT

Investigation of the Lagrangian dynamics of passive scalar gradient under the action of Burgers' vortex is performed from a numerical and analytical point of view. Following the Garcia & Gonzalez approach [9], scalar gradient alignment can be determined analytically along Lagrangian trajectories. In the case of Burgers' vortex, the equilibrium alignment is the bisector of the eigenvectors of the rate-of-strain tensor lying in the plane normal to vorticity. The numerical simulation confirms this behaviour of the scalar gradient alignement and provides further insight into the evolution of scalar gradient dynamics.