Analyzing the effect of dilatation on the velocity gradient tensor using a model problem

Michel Gonzalez (1)

1 CORIA - Complexe de recherche interprofessionnel en aérothermochimie

The effect of variable mass density on the velocity gradient tensor is addressed by means of a model problem. An equation system for both the velocity gradient and the pressure Hessian tensor is solved assuming a realistic expansion rate. The model results show the evolution of the velocity gradient tensor as the density front is approached and are relevant to the physics of flame fronts.

Mots clés: Variable mass density; Velocity gradient tensor; Pressure Hessian; Strain properties; Flame fronts

Domaines: Milieux fluides et réactifs; Mécanique des fluides [physics.class-ph]

Michel Gonzalez. Analyzing the effect of dilatation on the velocity gradient tensor using a model problem. SN Applied Sciences, 2020, 2 (11), ⟨10.1007/s42452-020-03513-4⟩. ⟨hal-03043270⟩