### Abstract

We consider strongly confined, stably stratified shear flows generated as a lock exchange in a tube inclined at an angle of theta = 45 degrees. This paper focuses on a transitional regime, in which the flow alternates between two distinct states: laminar, parallel shear flow and intense transverse motion characteristic of turbulence. Laminar-turbulent cycles were captured at Atwood numbers At equivalent to (rho(2) - rho(1))/(rho(1) + rho(2)) ranging from 2.45 x 10(-3) to 4.0 x 10(-3), where (rho(1),rho(2)) are the initial densities of the two fluids, with multiple cycles observed at At = 2.55 x 10(-3). The evolution of the density and velocity fields in these flows was measured simultaneously using laser-induced fluorescence and particle image velocimetry. During each laminar-turbulent cycle, the axial velocity exhibits a distinctive ramp-cliff pattern, indicating that the flow accelerates as it relaminarizes, then decelerates rapidly as the Kelvin-Helmholtz billows break down. Within the range of experimental conditions, transverse stratification does not directly determine the onset of instability. Instead, the data suggest that a necessary criterion for the onset of instability is for the local Reynolds number to exceed 2200, with only a weak dependence on the Richardson number.

Original language | English |
---|---|

Article number | 066308 |

Number of pages | 9 |

Journal | Physical Review. E, Statistical, Nonlinear and Soft Matter Physics |

Volume | 85 |

Issue number | 6 |

DOIs | |

Publication status | Published - 11 Jun 2012 |

### Cite this

*Physical Review. E, Statistical, Nonlinear and Soft Matter Physics*,

*85*(6), [066308]. https://doi.org/10.1103/PhysRevE.85.066308

**Laminar-turbulent cycles in inclined lock-exchange flows.** / Tanino, Yukie; Moisy, Frederic; Hulin, Jean-Pierre.

Research output: Contribution to journal › Article

*Physical Review. E, Statistical, Nonlinear and Soft Matter Physics*, vol. 85, no. 6, 066308. https://doi.org/10.1103/PhysRevE.85.066308

}

TY - JOUR

T1 - Laminar-turbulent cycles in inclined lock-exchange flows

AU - Tanino, Yukie

AU - Moisy, Frederic

AU - Hulin, Jean-Pierre

PY - 2012/6/11

Y1 - 2012/6/11

N2 - We consider strongly confined, stably stratified shear flows generated as a lock exchange in a tube inclined at an angle of theta = 45 degrees. This paper focuses on a transitional regime, in which the flow alternates between two distinct states: laminar, parallel shear flow and intense transverse motion characteristic of turbulence. Laminar-turbulent cycles were captured at Atwood numbers At equivalent to (rho(2) - rho(1))/(rho(1) + rho(2)) ranging from 2.45 x 10(-3) to 4.0 x 10(-3), where (rho(1),rho(2)) are the initial densities of the two fluids, with multiple cycles observed at At = 2.55 x 10(-3). The evolution of the density and velocity fields in these flows was measured simultaneously using laser-induced fluorescence and particle image velocimetry. During each laminar-turbulent cycle, the axial velocity exhibits a distinctive ramp-cliff pattern, indicating that the flow accelerates as it relaminarizes, then decelerates rapidly as the Kelvin-Helmholtz billows break down. Within the range of experimental conditions, transverse stratification does not directly determine the onset of instability. Instead, the data suggest that a necessary criterion for the onset of instability is for the local Reynolds number to exceed 2200, with only a weak dependence on the Richardson number.

AB - We consider strongly confined, stably stratified shear flows generated as a lock exchange in a tube inclined at an angle of theta = 45 degrees. This paper focuses on a transitional regime, in which the flow alternates between two distinct states: laminar, parallel shear flow and intense transverse motion characteristic of turbulence. Laminar-turbulent cycles were captured at Atwood numbers At equivalent to (rho(2) - rho(1))/(rho(1) + rho(2)) ranging from 2.45 x 10(-3) to 4.0 x 10(-3), where (rho(1),rho(2)) are the initial densities of the two fluids, with multiple cycles observed at At = 2.55 x 10(-3). The evolution of the density and velocity fields in these flows was measured simultaneously using laser-induced fluorescence and particle image velocimetry. During each laminar-turbulent cycle, the axial velocity exhibits a distinctive ramp-cliff pattern, indicating that the flow accelerates as it relaminarizes, then decelerates rapidly as the Kelvin-Helmholtz billows break down. Within the range of experimental conditions, transverse stratification does not directly determine the onset of instability. Instead, the data suggest that a necessary criterion for the onset of instability is for the local Reynolds number to exceed 2200, with only a weak dependence on the Richardson number.

U2 - 10.1103/PhysRevE.85.066308

DO - 10.1103/PhysRevE.85.066308

M3 - Article

VL - 85

JO - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

JF - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

SN - 1539-3755

IS - 6

M1 - 066308

ER -