Spherical Gas Bubble Motion through Maxwell Liquids

This paper presents formulae and explanation about the growth of a convective gas bubble in the blood and other tissues of divers who surface too quickly, concentration distribution around the growing bubble is also presented. The formulae are valid all over the growth stages, i.e. under variable ambient pressure while the diver is ascending, and under constant ambient pressure at diving stops or at sea level. The mathematical model is solved analytically by using the method of combined variables. The growth process is affected by tissue diffusivity, concentration constant and the initial void fraction, which is the dominant parameter. Results show that, the time of the complete growth, in the convective growth model, is shorter than those earlier presented by Mohammadein and Mohamed [Concentration distribution around a growing gas bubble in tissue, Math. Biosci.225(1) (2010) 11–17] and Srinivasan et al. [Mathematical models of diffusion-limited gas bubble dynamics in tissue, J. Appl. Physiol.86 (1999) 732–741] for the growth of a stationary gas bubble, this explains the effect of bubble motion on consuming the oversaturated dissolved gas from the tissue into growing bubble which leads to increment in the growth rate to be more than those presented in the previous stationary models.

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Gas Bubble Motion Artifact in MDCT

American Journal of Roentgenology ◽

10.2214/ajr.07.2702 ◽

2008 ◽

Vol 190 (2) ◽

pp. 294-299 ◽

Cited By ~ 7

Author(s):

Franklin Liu ◽

Carlos Cuevas ◽

Albert A. Moss ◽

Orpheus Kolokythas ◽

Theodore J. Dubinsky ◽

...

Keyword(s):

Motion Artifact ◽

Gas Bubble ◽

Bubble Motion

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Finite-sized gas bubble motion in a blood vessel: Non-Newtonian effects

Physical Review E ◽

10.1103/physreve.78.036303 ◽

2008 ◽

Vol 78 (3) ◽

Cited By ~ 11

Author(s):

Karthik Mukundakrishnan ◽

Portonovo S. Ayyaswamy ◽

David M. Eckmann

Keyword(s):

Blood Vessel ◽

Gas Bubble ◽

Bubble Motion

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Gas Bubble Motion Artifact

American Journal of Roentgenology ◽

10.2214/ajr.08.1055 ◽

2008 ◽

Vol 191 (6) ◽

pp. W312-W312

Author(s):

Donald J. Emby ◽

Kevin C. Ho

Keyword(s):

Motion Artifact ◽

Gas Bubble ◽

Bubble Motion

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Numerical simulation of gas bubble motion in a flow-through resonator

Acoustical Physics ◽

10.1134/s1063771013040155 ◽

2013 ◽

Vol 59 (4) ◽

pp. 393-398 ◽

Cited By ~ 4

Author(s):

V. A. Tikhonov ◽

I. N. Didenkulov ◽

N. V. Pronchatov-Rubtsov

Keyword(s):

Numerical Simulation ◽

Gas Bubble ◽

Bubble Motion ◽

Flow Through

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Bubble Behavior in Molten Glass in a Temperature Gradient

MRS Proceedings ◽

10.1557/proc-9-311 ◽

1981 ◽

Vol 9 ◽

Author(s):

M. Meyyappan ◽

R. S. Subramanian ◽

W. R. Wilcox ◽

H. Smith

Keyword(s):

Temperature Gradient ◽

Molten Glass ◽

Bubble Diameter ◽

Sodium Borate ◽

Gas Bubble ◽

Bubble Motion ◽

Reduced Gravity ◽

Bubble Behavior ◽

Rocket Experiment

ABSTRACTGas bubble motion in a temperature gradient was observed in a sodium borate melt in a reduced gravity rocket experiment under the NASA SPAR program. Large bubbles tended to move faster than smaller ones, as predicted by theory. When the bubbles contacted a heated platinum strip, motion virtually ceased because the melt only imperfectly wets platinum. In some cases bubble diameter increased noticeably with time.

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