research
Effective Rheology of Bubbles Moving in a Capillary Tube
- Authors
- B Abelev
- J Adam
- D Adamova
- AM Adare
- MM Aggarwal
- AG Agocs
- A Agostinelli
- Z Ahammed
- N Ahmad
- SU Ahn
- A Akindinov
- EC Alaniz
- D Aleksandrov
- B Alessandro
- A Alici
- A Alkin
- J Alme
- T Alt
- V Altini
- S Altinpinar
- I Altsybeev
- C Andrei
- A Andronic
- V Anguelov
- J Anielski
- C Anson
- T Anticic
- F Antinori
- P Antonioli
- L Aphecetche
- H Appelshauser
- N Arbor
- S Arcelli
- A Arend
- N Armesto
- R Arnaldi
- T Aronsson
- IC Arsene
- M Arslandok
- A Asryan
- A Augustinus
- R Averbeck
- EA Avina
- TC Awes
- J Aysto
- MD Azmi
- M Bach
- A Badala
- YW Baek
- R Bailhache
- OV Baillie
- R Bala
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- A Baldisseri
- A Baldit
- J Ban
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- R Barbera
- DD Bari
- F Barile
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- LS Barnby
- V Barret
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- VC Barroso
- J Bartke
- M Basile
- N Bastid
- B Bathen
- G Batigne
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- Publication date
- 16 March 2012
- Publisher
- 'American Physical Society (APS)'
- Doi
Abstract
We calculate the average volumetric flux versus pressure drop of bubbles moving in a single capillary tube with varying diameter, finding a square-root relation from mapping the flow equations onto that of a driven overdamped pendulum. The calculation is based on a derivation of the equation of motion of a bubble train from considering the capillary forces and the entropy production associated with the viscous flow. We also calculate the configurational probability of the positions of the bubbles.Comment: 4 pages, 1 figurSimilar works
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