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Near-surface dynamics of a gas bubble collapsing above a crevice

Published online by Cambridge University Press:  21 July 2020

Theresa Trummler*
Affiliation:
Chair of Aerodynamics and Fluid Mechanics, Technical University of Munich, Boltzmannstr. 15, 85748 Garching bei München, Germany
Spencer H. Bryngelson
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, 1200 E. California Blvd., Pasadena, CA91125, USA
Kevin Schmidmayer
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, 1200 E. California Blvd., Pasadena, CA91125, USA
Steffen J. Schmidt
Affiliation:
Chair of Aerodynamics and Fluid Mechanics, Technical University of Munich, Boltzmannstr. 15, 85748 Garching bei München, Germany
Tim Colonius
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, 1200 E. California Blvd., Pasadena, CA91125, USA
Nikolaus A. Adams
Affiliation:
Chair of Aerodynamics and Fluid Mechanics, Technical University of Munich, Boltzmannstr. 15, 85748 Garching bei München, Germany
*
Email address for correspondence: theresa.trummler@tum.de

Abstract

The impact of a collapsing gas bubble above rigid, notched walls is considered. Such surface crevices and imperfections often function as bubble nucleation sites, and thus have a direct relation to cavitation-induced erosion and damage structures. A generic configuration is investigated numerically using a second-order accurate compressible multi-component flow solver in a two-dimensional axisymmetric coordinate system. Results show that the crevice geometry has a significant effect on the collapse dynamics, jet formation, subsequent wave dynamics and interactions. The wall-pressure distribution associated with erosion potential is a direct consequence of development and intensity of these flow phenomena.

Type
JFM Papers
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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Trummler et al. supplementary movie 1

Movie of an air bubble collapsing onto a wall showing numerical schlieren (left) and log-scale pressure field (right). Gas volume fraction $\alpha_g$ is shown as a shaded area of decreasing opacity with decreasing $\alpha_g$ (left), while the $\alpha_g = 0.5$ isoline is shown as a solid curve (right) representing a pseudo-phase-interface. Time and pressure correspond to a bubble with $R_0 = 400\,\mathrm{\mu m}$ exposed to a driving pressure of $p_\infty=10^7\,\mathrm{Pa}$. Note that the frame rate is ten times higher at the beginning of the movie. Movie 1 shows the configuration with a smooth wall (no crevice, $R_C= 0$) and an attached bubble with the stand-off distance $S/R_0 = 0.1 $.
Download Trummler et al. supplementary movie 1(Video)
Video 1.7 MB

Trummler et al. supplementary movie 2

Smooth wall (no crevice, $R_C= 0$), attached bubble $S/R_0 = 0.35$. See caption Movie 1.

Download Trummler et al. supplementary movie 2(Video)
Video 2.1 MB

Trummler et al. supplementary movie 3

Smooth wall (no crevice, $R_C= 0$), attached bubble $S/R_0 = 0.6 $. See caption Movie 1.

Download Trummler et al. supplementary movie 3(Video)
Video 2.1 MB

Trummler et al. supplementary movie 4

Smooth wall (no crevice, $R_C= 0$), detached bubble $S/R_0 = 1.1 $. See caption Movie 1.

Download Trummler et al. supplementary movie 4(Video)
Video 2.6 MB

Trummler et al. supplementary movie 5

Small crevice ($R_C/R_0= 0.15$), attached bubble $S/R_0 = 0.1 $. See caption Movie 1.

Download Trummler et al. supplementary movie 5(Video)
Video 1.7 MB

Trummler et al. supplementary movie 6

Small crevice ($R_C/R_0= 0.15$), attached bubble $S/R_0 = 0.35$. See caption Movie 1.

Download Trummler et al. supplementary movie 6(Video)
Video 1.7 MB

Trummler et al. supplementary movie 7

Small crevice ($R_C/R_0= 0.15$), attached bubble $S/R_0 = 0.6 $. See caption Movie 1.

Download Trummler et al. supplementary movie 7(Video)
Video 1.9 MB

Trummler et al. supplementary movie 8

Small crevice ($R_C/R_0= 0.15$), detached bubble $S/R_0 = 1.1 $. See caption Movie 1.

Download Trummler et al. supplementary movie 8(Video)
Video 2.7 MB

Trummler et al. supplementary movie 9

Large crevice ($R_C/R_0= 0.75$), attached bubble $S/R_0 = 0.1 $. See caption Movie 1.

Download Trummler et al. supplementary movie 9(Video)
Video 3.3 MB

Trummler et al. supplementary movie 10

Large crevice ($R_C/R_0= 0.75$), attached bubble $S/R_0 = 0.35$. See caption Movie 1.

Download Trummler et al. supplementary movie 10(Video)
Video 3.1 MB

Trummler et al. supplementary movie 11

Large crevice ($R_C/R_0= 0.75$), attached bubble $S/R_0 = 0.6 $. See caption Movie 1.

Download Trummler et al. supplementary movie 11(Video)
Video 4.4 MB

Trummler et al. supplementary movie 12

Large crevice ($R_C/R_0= 0.75$), detached bubble $S/R_0 = 1.1 $. See caption Movie 1.

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Video 3.1 MB
Supplementary material: PDF

Trummler et al. supplementary material

Supplementary captions for movies 1-12

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PDF 78 KB