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.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01348399
Contributor : Florence Raynal <>
Submitted on : Friday, July 22, 2016 - 11:44:53 PM
Last modification on : Tuesday, April 9, 2019 - 5:10:04 PM

File

Raynal_PoF1996.pdf
Publisher files allowed on an open archive

Identifiers

Citation

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

Share

Metrics

Record views

113

Files downloads

113