Research output: Contribution to journal › Article › peer-review
Mixing layer and turbulent jet flow in a Hele–Shaw cell. / Chesnokov, Alexander; Liapidevskii, Valery.
In: International Journal of Non-Linear Mechanics, Vol. 125, 103534, 01.10.2020.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Mixing layer and turbulent jet flow in a Hele–Shaw cell
AU - Chesnokov, Alexander
AU - Liapidevskii, Valery
PY - 2020/10/1
Y1 - 2020/10/1
N2 - A plane turbulent mixing in a shear flow of an ideal homogeneous fluid confined between two relatively close rigid walls is considered. The character of the flow is determined by interaction of vortices arising at the non-linear stage of the Kelvin–Helmholtz instability development and by turbulent friction. In the framework of the shallow water theory and a three-layer representation of the flow, one-dimensional models of a mixing layer are proposed. The obtained equations allow one to determine averaged boundaries of the region of intense fluid mixing. Stationary solutions of the governing equations are constructed and analysed. Using the averaged flow characteristics obtained by one-dimensional equations, a hyperbolic system for determining the velocity profile and Reynolds shear stress across the mixing layer is derived. Comparison with the experimental results of the evolution of turbulent jet flows in a Hele–Shaw cell shows that the proposed models provide a fairly accurate description of the average boundaries of the region of intense mixing, as well as the velocity profile and Reynolds shear stress across the mixing layer.
AB - A plane turbulent mixing in a shear flow of an ideal homogeneous fluid confined between two relatively close rigid walls is considered. The character of the flow is determined by interaction of vortices arising at the non-linear stage of the Kelvin–Helmholtz instability development and by turbulent friction. In the framework of the shallow water theory and a three-layer representation of the flow, one-dimensional models of a mixing layer are proposed. The obtained equations allow one to determine averaged boundaries of the region of intense fluid mixing. Stationary solutions of the governing equations are constructed and analysed. Using the averaged flow characteristics obtained by one-dimensional equations, a hyperbolic system for determining the velocity profile and Reynolds shear stress across the mixing layer is derived. Comparison with the experimental results of the evolution of turbulent jet flows in a Hele–Shaw cell shows that the proposed models provide a fairly accurate description of the average boundaries of the region of intense mixing, as well as the velocity profile and Reynolds shear stress across the mixing layer.
KW - Hele–Shaw cell
KW - Jet flow
KW - Mixing layer
KW - Shallow water equations
KW - Hele-Shaw cell
KW - FRICTION
KW - EVOLUTION
KW - DISPERSION
KW - STABILITY
KW - MODEL
KW - SHALLOW
UR - http://www.scopus.com/inward/record.url?scp=85086581721&partnerID=8YFLogxK
U2 - 10.1016/j.ijnonlinmec.2020.103534
DO - 10.1016/j.ijnonlinmec.2020.103534
M3 - Article
AN - SCOPUS:85086581721
VL - 125
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
SN - 0020-7462
M1 - 103534
ER -
ID: 24537738