Abstract:
Two-layer miscible flow above an uneven bottom is considered. A mathematical model in the shallow-water approximation is constructed for the development of a turbulent layer between homogeneous layers of different density in a two-layer channel flow over a local obstacle. The influence of the mixing process on the formation of an initial segment of the steady-state density-stratified flow on the leeward side of the obstacle is studied.
Citation:
V. Yu. Lyapidevskii, “Mixing layer on the lee side of an obstacle”, Prikl. Mekh. Tekh. Fiz., 45:2 (2004), 62–67; J. Appl. Mech. Tech. Phys., 45:2 (2004), 199–203
\Bibitem{Lya04}
\by V.~Yu.~Lyapidevskii
\paper Mixing layer on the lee side of an obstacle
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2004
\vol 45
\issue 2
\pages 62--67
\mathnet{http://mi.mathnet.ru/pmtf2358}
\elib{https://elibrary.ru/item.asp?id=17249156}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2004
\vol 45
\issue 2
\pages 199--203
\crossref{https://doi.org/10.1023/B:JAMT.0000017582.70655.d9}
Linking options:
https://www.mathnet.ru/eng/pmtf2358
https://www.mathnet.ru/eng/pmtf/v45/i2/p62
This publication is cited in the following 7 articles:
Oleg Zuev, Anna Seliverstova, “Spatial Variability of the Hydrochemical Structure in Bottom Gravity Current in the Vema Fracture Zone”, Russian Journal of Earth Sciences, 2024, 1
V. Yu. Liapidevskii, “Equilibrium Model of Density Flow”, Proc. Steklov Inst. Math., 322 (2023), 161–172
A. A. Chesnokov, S. L. Gavrilyuk, V. Yu. Liapidevskii, “Mixing and nonlinear internal waves in a shallow flow of a three-layer stratified fluid”, Physics of Fluids, 34:7 (2022)
Valery Yu Liapidevskii, Denys Dutykh, “On the velocity of turbidity currents over moderate slopes”, Fluid Dyn. Res., 51:3 (2019), 035501
Valery Yu. Liapidevskii, Denys Dutykh, Marguerite Gisclon, “On the modelling of shallow turbidity flows”, Advances in Water Resources, 113 (2018), 310
Talia Tokyay, George Constantinescu, Eckart Meiburg, “Tail structure and bed friction velocity distribution of gravity currents propagating over an array of obstacles”, J. Fluid Mech., 694 (2012), 252
TALIA TOKYAY, GEORGE CONSTANTINESCU, ECKART MEIBURG, “Lock-exchange gravity currents with a high volume of release propagating over a periodic array of obstacles”, J. Fluid Mech., 672 (2011), 570