dorsal/arxiv
View SchemaMicrobubbly drag reduction in Taylor-Couette flow in the wavy vortex regime
| Authors | Kazuyasu Sugiyama, Enrico Calzavarini, Detlef Lohse |
|---|---|
| Categories | |
| ArXiv ID | physics/0703100 |
| URL | https://arxiv.org/abs/physics/0703100 |
| DOI | 10.1017/S0022112008001183 |
| Journal | J. Fluid Mech. 608, pp. 21 - 41, (2008) |
Abstract
We investigate the effect of microbubbles on Taylor-Couette flow by means of direct numerical simulations. We employ an Eulerian-Lagrangian approach with a gas-fluid coupling based on the point-force approximation. Added mass, drag, lift, and gravity are taken into account in the modeling of the motion of the individual bubble. We find that very dilute suspensions of small non-deformable bubbles (volume void fraction below 1%, zero Weber number and bubble Reynolds number <10) induce a robust statistically steady drag reduction (up to 20%) in the so called wavy vortex flow regime (Re = 600-2500). The Reynolds number dependence of the normalized torque (the so-called Torque Reduction Ratio (TRR) which corresponds to the drag reduction) is consistent with a recent series of experimental measurements performed by Murai et al. (J. Phys. 14, 143 (2005)). Our analysis suggests that the physical mechanism for the torque reduction in this regime is due to the local axial forcing, induced by rising bubbles, that is able to break the highly dissipative Taylor wavy vortices in the system. We finally show that the lift force acting on the bubble is crucial in this process. When neglecting it, the bubbles preferentially accumulate near the inner cylinder and the bulk flow is less efficiently modified.
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"abstract": "We investigate the effect of microbubbles on Taylor-Couette flow by means of\ndirect numerical simulations. We employ an Eulerian-Lagrangian approach with a\ngas-fluid coupling based on the point-force approximation. Added mass, drag,\nlift, and gravity are taken into account in the modeling of the motion of the\nindividual bubble. We find that very dilute suspensions of small non-deformable\nbubbles (volume void fraction below 1%, zero Weber number and bubble Reynolds\nnumber \u003c10) induce a robust statistically steady drag reduction (up to 20%) in\nthe so called wavy vortex flow regime (Re = 600-2500). The Reynolds number\ndependence of the normalized torque (the so-called Torque Reduction Ratio (TRR)\nwhich corresponds to the drag reduction) is consistent with a recent series of\nexperimental measurements performed by Murai et al. (J. Phys. 14, 143 (2005)).\nOur analysis suggests that the physical mechanism for the torque reduction in\nthis regime is due to the local axial forcing, induced by rising bubbles, that\nis able to break the highly dissipative Taylor wavy vortices in the system. We\nfinally show that the lift force acting on the bubble is crucial in this\nprocess. When neglecting it, the bubbles preferentially accumulate near the\ninner cylinder and the bulk flow is less efficiently modified.",
"arxiv_id": "physics/0703100",
"authors": [
"Kazuyasu Sugiyama",
"Enrico Calzavarini",
"Detlef Lohse"
],
"categories": [
"physics.flu-dyn",
"nlin.CD"
],
"doi": "10.1017/S0022112008001183",
"journal_ref": "J. Fluid Mech. 608, pp. 21 - 41, (2008)",
"title": "Microbubbly drag reduction in Taylor-Couette flow in the wavy vortex regime",
"url": "https://arxiv.org/abs/physics/0703100"
},
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