Stratified inclined duct: two-layer hydraulics and instabilities
Stratified inclined duct: two-layer hydraulics and instabilities
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分层倾斜风管:两层水力学和不稳定性
DOI:
10.1017/jfm.2023.871
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发表时间:
2023
影响因子:
3.7
通讯作者:
Atoufi A
中科院分区:
文献类型:
--
作者:
Atoufi A
The stratified inclined duct (SID) sustains an exchange flow in a long, gently sloping duct as a model for continuously forced density-stratified flows such as those found in estuaries. Experiments have shown that the emergence of interfacial waves and their transition to turbulence as the tilt angle is increased appears to be linked to a threshold in the exchange flow rate given by inviscid two-layer hydraulics. We uncover these hydraulic mechanisms by (i) using recent direct numerical simulations (DNS) providing full flow data in the key flow regimes (Zhu et al., J. Fluid Mech., vol. 969, 2023, A20), (ii) averaging these DNS into two layers, and (iii) using an inviscid two-layer shallow-water and instability theory to diagnose interfacial wave behaviour and provide physical insight. The laminar flow is subcritical and stable throughout the duct and hydraulically controlled at the ends of the duct. As the tilt is increased, the flow becomes supercritical everywhere and unstable to long waves. An internal jump featuring stationary waves first appears near the centre of the duct, then leads to larger-amplitude travelling waves, and to stronger jumps, wave breaking and intermittent turbulence at the largest tilt angle. Long waves described by the (nonlinear) shallow-water equation are interpreted locally as linear waves on a two-layer parallel base flow described by the Taylor–Goldstein equation. This link helps us to interpret long-wave instability and contrast it with short-wave (e.g. Kelvin–Helmholtz) instability. Our results suggest a transition to turbulence in SID through long-wave instability relying on vertical confinement by the top and bottom walls.
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影响因子:
3.7
作者:
Lu Zhu;Amir Atoufi;A. Lefauve;John R. Taylor;R. Kerswell;S. Dalziel;G. Lawrence;P. Linden
通讯作者:
P. Linden
DOI:
--
发表时间:
2002
期刊:
影响因子:
--
作者:
M. Gregg;E. Özsoy
通讯作者:
E. Özsoy
影响因子:
3.7
作者:
Lefauve, Adrien;Partridge, J. L.;Linden, P. F.
通讯作者:
Linden, P. F.
影响因子:
3.7
作者:
M. Duran‐Matute;S. J. Kaptein;H. Clercx
通讯作者:
H. Clercx
DOI:
--
发表时间:
1955
期刊:
影响因子:
--
作者:
C. Yih;C. Guha
通讯作者:
C. Guha