Exact relation between spatial mean enstrophy and dissipation in confined incompressible flows - Archive ouverte HAL Access content directly
Journal Articles Physics of Fluids Year : 1996

Exact relation between spatial mean enstrophy and dissipation in confined incompressible flows

Abstract

An exact non-trivial relation between spatial mean enstrophy and dissipation in closed incompressible flows is derived analytically, which also applies to unbounded fluid domains when the velocity decays to zero sufficiently rapidly at infinity. The quantity <ω^2 - σ^2> is shown to depend only on the boundary conditions, and it is pointed out that in many confined flows, the equality <ω^2>=<σ^2> is not satisfied.
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hal-01348399 , version 1 (22-07-2016)

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Florence Raynal. Exact relation between spatial mean enstrophy and dissipation in confined incompressible flows. Physics of Fluids, 1996, 8 (8), pp.2242-2244. ⟨10.1063/1.868997⟩. ⟨hal-01348399⟩
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