The effect of partial confinement on the shape and volume of bubbles generated by injection of a constant flow rate of gas into a very viscous liquid is studied numerically and experimentally. Numerical solutions of the Stokes equations for the liquid and the evolution equation for the surface of a bubble, and experiments with two different liquids, show that cylindrical and conical walls concentric with a gas injection orifice in the horizontal bottom of the liquid may strongly affect the shape and volume of the bubbles, and can be used to control the size of the generated bubbles without changing the flow rate of gas. A well-known scaling law for the volume of the bubbles generated by injection of a high flow rate of gas in a very viscous unconfined liquid is extended to take into account the presence of cylindrical or conical walls around the injection orifice.
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October 2011
Research Article|
October 14 2011
Bubble growth by injection of gas into viscous liquids in cylindrical and conical tubes
A. López-Villa;
A. López-Villa
1Coordinación del Posgrado, IMP, Eje Central Lázaro Cárdenas No. 152, Col. Atepehuacan 07730, México D.F.,
Mexico
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A. Medina;
A. Medina
2ESIME Azcapotzalco, IPN, Ave. de las Granjas No. 682, Col. Sta. Catarina 02550, México D.F.,
México
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F. J. Higuera
F. J. Higuera
33ETSI Aeronáuticos, UPM, Plaza Cardenal Cisneros 3, Madrid 28040,
Spain
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Physics of Fluids 23, 102102 (2011)
Article history
Received:
October 07 2010
Accepted:
September 01 2011
Citation
A. López-Villa, A. Medina, F. J. Higuera; Bubble growth by injection of gas into viscous liquids in cylindrical and conical tubes. Physics of Fluids 1 October 2011; 23 (10): 102102. https://doi.org/10.1063/1.3643248
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