Flow patterns in a rotating horizontal cylinder partially filled with liquid

Козлов, В. Г.; Polezhaev, Denis

doi:10.1103/physreve.92.013016

Cited by 8 publications

(2 citation statements)

References 40 publications

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“…This rimming flow is not only scientifically interesting, but also important in engineering applications such as paper manufacturing (Pereira, Valenzuela & Valenzuela 2010;Ghosh 2011;Hubbe 2021;Majeed et al 2022), evaporators (Willems et al 2010Chatterjee, Sugilal & Prabhu 2019), centrifugal thermit process (Menekse, Wood & Riley 2006), centrifugal casting process (Keerthiprasad et al 2011;Boháček et al 2015) and triboelectric nanogenerators (Kim et al 2016). In fact, flow characteristics such as the instability of the rimming flow were extensively investigated experimentally, theoretically and numerically (Phillips 1960;Yih 1960;Johnson 1988;Thoroddsen & Mahadevan 1997;Hosoi & Mahadevan 1999;Tirumkudulu & Acrivos 2001;Ashmore, Hosoi & Stone 2003;Benilov, Benilov & Kopteva 2008;Kozlov & Polezhaev 2015;Kakimpa, Morvan & Hibberd 2016;Nicholson et al 2019;Sadeghi, Diosady & Blais 2022).…”

Section: Introductionmentioning

confidence: 99%

“…2016). In fact, flow characteristics such as the instability of the rimming flow were extensively investigated experimentally, theoretically and numerically (Phillips 1960; Yih 1960; Johnson 1988; Thoroddsen & Mahadevan 1997; Hosoi & Mahadevan 1999; Tirumkudulu & Acrivos 2001; Ashmore, Hosoi & Stone 2003; Benilov, Benilov & Kopteva 2008; Kozlov & Polezhaev 2015; Kakimpa, Morvan & Hibberd 2016; Nicholson et al. 2019; Sadeghi, Diosady & Blais 2022).…”

Section: Introductionmentioning

confidence: 99%

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Onset of convection cells in a horizontally rotating cylinder partially filled with liquid

Watanabe,

Eguchi,

Goto

2024

J. Fluid Mech.

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We investigate flow of liquid which is partially filled in a cylindrical container horizontally rotating about its axis of symmetry. Even if the rotation is slow enough to keep the liquid–gas interface almost undeformed, convection cells whose circulation axis is perpendicular to the container's rotational axis can be sustained. We conduct experiments by particle image velocimetry and direct numerical simulations with the S-CLSVOF and immersed boundary methods to reveal the condition of the Reynolds number, the aspect ratio of the container and the filling ratio of liquid for the onset of these convection cells. When the filling ratio is not too large, as the Reynolds number increases, convection cells appear through a pitchfork bifurcation in an infinitely long cylinder. This bifurcation becomes imperfect in the case of a finite-length cylinder. In contrast, when the filling ratio is large enough, convection cells appear through a subcritical bifurcation. Through these investigations, it becomes evident that the axial wavelength of sustained convection cells is an increasing function of the filling ratio in an infinitely long cylinder. In practice, to sustain intense convection cells, we should use a cylinder with the length equal to an integer multiple of the wavelength of the most unstable mode in the infinite-length cylinder. Although we focus on the liquid-pool regime with small Froude numbers, the critical Reynolds number for the pitchfork bifurcation weakly depends on the Froude number. This dependence is explained by considering the changes in the effective filling ratio and the convection velocity.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Onset of convection cells in a horizontally rotating cylinder partially filled with liquid

Watanabe,

Eguchi,

Goto

2024

J. Fluid Mech.

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Inertial Waves and Steady Flows in a Liquid Filled Librating Cylinder

Subbotin

Dyakova

2018

Microgravity Sci. Technol.

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Families of reversing and non-reversing Taylor vortex flows between two co-oscillating cylinders with different amplitudes

2019

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This paper deals with the centrifugal instability of time-modulated Taylor-Couette flow for the case in which the inner and outer cylinders are co-oscillating around zero mean with the angular velocities Ωin = Ω0 cos(ωt) and Ωout = εΩ0 cos(ωt), respectively (Ω0, ω, and ε denote, respectively, the amplitude, the frequency of the modulated rotation, and the amplitudes ratio). The small-gap equations for the stability of this flow with respect to axisymmetric disturbances are derived and solved on the basis of Floquet theory. We recover in the case ε = 0 where the outer cylinder is stationary while the inner is modulated the two well-known reversing and non-reversing Taylor vortex flows. Attention is focused on the evolution of these time-dependent flows when one allows the oscillation of the outer cylinder. It turns out that an increase in the parameter ε leads to the discovery of families of reversing and non-reversing flows and other interesting bifurcation phenomena including codimension-two bifurcation points. In addition, a proper tuning of this parameter ε provides a control of the onset of instability as well as the nature of the primary bifurcation. Moreover, it is shown that when ε > 1, the instability is suppressed in low frequencies and the flow is always stable in good agreement to what is obtained by a quasi-steady approach where transient instability is detected. This latter is attributed to the fluid inertia taking place when the cylinders are reversing their rotation’s direction. However, no effect of the parameter ε is observed in high frequencies where the instability develops in thin boundary Stokes layers near the oscillating cylinders.

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Flow patterns in a rotating horizontal cylinder partially filled with liquid

Cited by 8 publications

References 40 publications

Onset of convection cells in a horizontally rotating cylinder partially filled with liquid

Onset of convection cells in a horizontally rotating cylinder partially filled with liquid

Inertial Waves and Steady Flows in a Liquid Filled Librating Cylinder

Families of reversing and non-reversing Taylor vortex flows between two co-oscillating cylinders with different amplitudes

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