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Prandtl number dependence of flow topology in quasi-two-dimensional turbulent Rayleigh–Bénard convection
by
Xu, Ao
, Wang, Ze-Hao
, Chen, Xin
, Xi, Heng-Dong
in
Convection
/ Convection cells
/ Energy dissipation
/ Energy exchange
/ Flow mapping
/ Fluid dynamics
/ Horizontal cells
/ Investigations
/ JFM Papers
/ Particle image velocimetry
/ Phase diagrams
/ Prandtl number
/ Rayleigh number
/ Rayleigh-Benard convection
/ Reynolds number
/ Scaling
/ Topology
/ Travel time
/ Turbulent flow
/ Two dimensional flow
/ Velocity
/ Velocity measurement
/ Viscosity
2024
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Prandtl number dependence of flow topology in quasi-two-dimensional turbulent Rayleigh–Bénard convection
by
Xu, Ao
, Wang, Ze-Hao
, Chen, Xin
, Xi, Heng-Dong
in
Convection
/ Convection cells
/ Energy dissipation
/ Energy exchange
/ Flow mapping
/ Fluid dynamics
/ Horizontal cells
/ Investigations
/ JFM Papers
/ Particle image velocimetry
/ Phase diagrams
/ Prandtl number
/ Rayleigh number
/ Rayleigh-Benard convection
/ Reynolds number
/ Scaling
/ Topology
/ Travel time
/ Turbulent flow
/ Two dimensional flow
/ Velocity
/ Velocity measurement
/ Viscosity
2024
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Prandtl number dependence of flow topology in quasi-two-dimensional turbulent Rayleigh–Bénard convection
by
Xu, Ao
, Wang, Ze-Hao
, Chen, Xin
, Xi, Heng-Dong
in
Convection
/ Convection cells
/ Energy dissipation
/ Energy exchange
/ Flow mapping
/ Fluid dynamics
/ Horizontal cells
/ Investigations
/ JFM Papers
/ Particle image velocimetry
/ Phase diagrams
/ Prandtl number
/ Rayleigh number
/ Rayleigh-Benard convection
/ Reynolds number
/ Scaling
/ Topology
/ Travel time
/ Turbulent flow
/ Two dimensional flow
/ Velocity
/ Velocity measurement
/ Viscosity
2024
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Prandtl number dependence of flow topology in quasi-two-dimensional turbulent Rayleigh–Bénard convection
Journal Article
Prandtl number dependence of flow topology in quasi-two-dimensional turbulent Rayleigh–Bénard convection
2024
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Overview
To date, a comprehensive understanding of the influence of the Prandtl number ($Pr$) on flow topology in turbulent Rayleigh–Bénard convection (RBC) remains elusive. In this study, we present an experimental investigation into the evolution of flow topology in quasi-two-dimensional turbulent RBC with $7.0 \\leq Pr \\leq 244.2$ and $2.03\\times 10^{8} \\leq Ra \\leq 2.81\\times 10^{9}$. Particle image velocimetry (PIV) measurements reveal the flow transitions from multiple-roll state to single-roll state with increasing $Ra$, and the transition is hindered with increasing $Pr$, i.e. the transitional Rayleigh number $Ra_t$ increases with $Pr$. We mapped out a phase diagram on the flow topology change on $Ra$ and $Pr$, and identified the scaling of $Ra_t$ on $Pr$: $Ra_t \\sim Pr^{0.93}$ in the low $Pr$ range, and $Ra_t \\sim Pr^{3.3}$ in the high $Pr$ range. The scaling in the low $Pr$ range is consistent with the model of balance of energy dissipation time and plume travel time that we proposed in our previous study, while the scaling in the high $Pr$ range implies a new governing mechanism. For the first time, the scaling of $Re$ on $Ra$ and $Pr$ is acquired through full-field PIV velocity measurement, $Re \\sim Ra^{0.63}\\,Pr^{-0.87}$. We also propose that increasing horizontal velocity promotes the formation of the large-scale circulation (LSC), especially for the high $Pr$ case. Our proposal was verified by achieving LSC through introducing horizontal driving force $Ra_H$ by tilting the convection cell with a small angle.
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