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• W2806241731 abstract "The stability of flows in layers of finite thickness $H$ is examined against small scale three dimensional (3D) perturbations and large scale two-dimensional (2D) perturbations. The former provide an indication of a forward transfer of energy while the later indicate an inverse transfer and the possibility of an inverse cascade. The analysis is performed using a Floquet-Bloch code that allows to examine the stability of modes with arbitrary large scale separation. For thin layers the 3D perturbations become unstable when the layer thickness $H$ becomes larger than $H > c_1 (nu ell_{_U}/U)^{1/2}= c_1 ell_{_U} Re^{-1/2}$, where $U$ is the rms velocity of the flown, $ell_{_U}$ is the correlation length scale of the flow, $nu$ the viscosity and $Re=ell_{_U} U/nu$ is the Reynolds number. At the same time large scale 2D perturbations also become unstable by an eddy viscosity mechanism when $Re>c_2$, where $c_1,c_2$ are order one non-dimensional numbers. These relations define different regions in parameter space where 2D and 3D instabilities can (co-)exist and this allows to construct a stability diagram. Implications of these results for fully turbulent flows that display a change of direction of cascade as $H$ is varied are discussed." @default.
• W2806241731 created "2018-06-13" @default.
• W2806241731 creator A5085285592 @default.
• W2806241731 date "2018-06-01" @default.
• W2806241731 modified "2023-09-27" @default.
• W2806241731 title "3D instabilities and negative eddy viscosity in thin-layer flows" @default.
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• W2806241731 hasPublicationYear "2018" @default.
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