TY - JOUR
T1 - Analytical solution for the Kelvin–Helmholtz instability under a submerged canopy-oscillatory flow
AU - Cáceres-Euse, Alejandro
AU - Orfila, Alejandro
AU - Abdolahpour, Maryam
AU - Toro-Botero, Francisco
AU - Variano, Evan
AU - Fernando Osorio-Arias, Andres
PY - 2022
Y1 - 2022
N2 - Following on from a theoretical solution to the Kelvin–Helmholtz (KH) instability under submerged canopy-oscillatory flow environments a relationship between the incoming free surface wave frequency and KH frequency was developed. The KH frequencies ((Formula presented.)) are higher than those from the incoming wave expressed by (Formula presented.) (Formula presented.). In addition, the analytical expression, along with the energy spectra analysis of the vertical turbulent flux of momentum ((Formula presented.)) for cases when the KH dominates vertical mixing, allowed us to observe the spectral shortcut mechanism. Based on comparisons between the KH time scale and the mean horizontal transport of mass time scale, it can be concluded that the instability has no effect on the wave-induced steady current process. The instability plays an important role on vertical mixing but not on the horizontal transport of mass.
AB - Following on from a theoretical solution to the Kelvin–Helmholtz (KH) instability under submerged canopy-oscillatory flow environments a relationship between the incoming free surface wave frequency and KH frequency was developed. The KH frequencies ((Formula presented.)) are higher than those from the incoming wave expressed by (Formula presented.) (Formula presented.). In addition, the analytical expression, along with the energy spectra analysis of the vertical turbulent flux of momentum ((Formula presented.)) for cases when the KH dominates vertical mixing, allowed us to observe the spectral shortcut mechanism. Based on comparisons between the KH time scale and the mean horizontal transport of mass time scale, it can be concluded that the instability has no effect on the wave-induced steady current process. The instability plays an important role on vertical mixing but not on the horizontal transport of mass.
KW - Kelvin–Helmholtz instability
KW - submerged canopies
KW - vertical turbulent flux of momentum
UR - http://www.scopus.com/inward/record.url?scp=85107426654&partnerID=8YFLogxK
U2 - 10.1080/00221686.2021.1908439
DO - 10.1080/00221686.2021.1908439
M3 - Article
SN - 0022-1686
VL - 60
SP - 220
EP - 228
JO - Journal of Hydraulic Research
JF - Journal of Hydraulic Research
IS - 2
ER -