Orbitally shaken shallow fluid layers. I. Regime classification

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Title: Orbitally shaken shallow fluid layers. I. Regime classification
Author(s): Alpresa, P
Sherwin, S
Weinberg, P
Van Reeuwijk, M
Item Type: Journal Article
Abstract: Orbital shakers are simple devices that provide mixing, aeration, and shear stress at multiple scales and high throughput. For this reason, they are extensively used in a wide range of applications from protein production to bacterial biofilms and endothelial cell experiments. This study focuses on the behaviour of orbitally shaken shallow fluid layers in cylindrical containers. In order to investigate the behaviour over a wide range of different conditions, a significant number of numerical simulations are carried out under different configuration parameters. We demonstrate that potential theory—despite the relatively low Reynolds number of the system—describes the free-surface amplitude well and the velocity field reasonably well, except when the forcing frequency is close to a natural frequency and resonance occurs. By classifying the simulations into non-breaking, breaking, and breaking with part of the bottom uncovered, it is shown that the onset of wave breaking is well described by Δh/(2R) = 0.7Γ, where Δh is the free-surface amplitude, R is the container radius, and Γ is the container aspect ratio; Δh can be well approximated using the potential theory. This result is in agreement with standard wave breaking theories although the significant inertial forcing causes wave breaking at lower amplitudes.
Publication Date: 30-Mar-2018
Date of Acceptance: 16-Nov-2017
URI: http://hdl.handle.net/10044/1/59067
DOI: https://dx.doi.org/10.1063/1.4996916
ISSN: 1070-6631
Publisher: AMER INST PHYSICS
Journal / Book Title: PHYSICS OF FLUIDS
Volume: 30
Issue: 3
Copyright Statement: © 2018 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Physics of Fluids 30, 032107 (2018); https://doi.org/10.1063/1.4996916
Keywords: Science & Technology
Technology
Physical Sciences
Mechanics
Physics, Fluids & Plasmas
Physics
MUSCLE-CELL PROLIFERATION
OSCILLATORY SHEAR-STRESS
HUMAN ENDOTHELIAL-CELLS
CULTURED ENDOTHELIUM
FREE-SURFACE
WALL SHEAR
FLOW
BIOREACTORS
ATHEROSCLEROSIS
PHOSPHORYLATION
Science & Technology
Technology
Physical Sciences
Mechanics
Physics, Fluids & Plasmas
Physics
MUSCLE-CELL PROLIFERATION
OSCILLATORY SHEAR-STRESS
HUMAN ENDOTHELIAL-CELLS
CULTURED ENDOTHELIUM
FREE-SURFACE
WALL SHEAR
FLOW
BIOREACTORS
ATHEROSCLEROSIS
PHOSPHORYLATION
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Fluids & Plasmas
Publication Status: Published
Conference Place: Limassol, CYPRUS
Article Number: ARTN 032107
Online Publication Date: 2018-03-30
Appears in Collections:Faculty of Engineering
Civil and Environmental Engineering
Aeronautics



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