Effect of variable mass density on the kinematics of scalar gradient
Résumé
Analysis of the equations for the orientation and norm of the gradient of a passive scalar shows that the kinematics of the scalar gradient may be deeply altered by non-solenoidal effects felt through the velocity gradient. While these effects are explicitly expressed in the equation for the gradient norm, the orientation equations are unaltered as compared to the incompressible case. In two-dimensional flows the behavior of the scalar gradient is governed by both the strain persistence parameter, r, and the ratio, d/s, of velocity divergence to the norm of the deviatoric part of the strain tensor. In particular, in the dilatational case, while large dilatation (d/s> 1) unconditionally lessens the scalar gradient, moderate dilatation (0
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https://hal.science/hal-01412404
Soumis le : jeudi 8 décembre 2016-12:55:55
Dernière modification le : vendredi 22 décembre 2023-15:16:05
Archivage à long terme le : jeudi 23 mars 2017-07:46:11
Citer
M Gonzalez, P Paranthoën. Effect of variable mass density on the kinematics of scalar gradient. Physics of Fluids, 2011, 23, pp.075107. ⟨10.1063/1.3609281⟩. ⟨hal-01412404⟩
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