TY - JOUR

T1 - Evolution of the Horizontal Mixing Layer In Shallow Water

AU - Chesnokov, A. A.

AU - Liapidevskii, V. Yu

N1 - Publisher Copyright: © 2019, Pleiades Publishing, Ltd.

PY - 2019/3/1

Y1 - 2019/3/1

N2 - Horizontal shear motion of a homogeneous fluid in an open channel is considered in the approximation of the shallow water theory. The main attention is paid to studying the mixing process induced by the development of the Kelvin–Helmholtz instability and by the action of bottom friction. Based on a three-layer flow pattern, an averaged one-dimensional model of formation and evolution of the horizontal mixing layer is derived with allowance for friction. Steady solutions of the equations of motion are constructed, and the problem of the mixing layer structure is solved. The bottom friction produces a stabilizing effect and reduces the growth of the mixing layer. Verification of the proposed one-dimensional model is performed through comparisons with available experimental data and with the numerical solution of the two-dimensional equations of the shallow water theory.

AB - Horizontal shear motion of a homogeneous fluid in an open channel is considered in the approximation of the shallow water theory. The main attention is paid to studying the mixing process induced by the development of the Kelvin–Helmholtz instability and by the action of bottom friction. Based on a three-layer flow pattern, an averaged one-dimensional model of formation and evolution of the horizontal mixing layer is derived with allowance for friction. Steady solutions of the equations of motion are constructed, and the problem of the mixing layer structure is solved. The bottom friction produces a stabilizing effect and reduces the growth of the mixing layer. Verification of the proposed one-dimensional model is performed through comparisons with available experimental data and with the numerical solution of the two-dimensional equations of the shallow water theory.

KW - effect of friction

KW - horizontal shear flow

KW - mixing layer

KW - shallow water equations

UR - http://www.scopus.com/inward/record.url?scp=85066460818&partnerID=8YFLogxK

U2 - 10.1134/S0021894419020172

DO - 10.1134/S0021894419020172

M3 - Article

AN - SCOPUS:85066460818

VL - 60

SP - 365

EP - 376

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

SN - 0021-8944

IS - 2

ER -