Bubble growth by injection of gas into viscous liquids in cylindrical and conical tubes

A. López-Villa; A. Medina; F. J. Higuera

doi:10.1063/1.3643248

Bubble growth by injection of gas into viscous liquids in cylindrical and conical tubes

A. López-Villa, A. Medina, F. J. Higuera

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Azcapotzalco

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8 Scopus citations

Abstract

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.

Original language	English
Article number	102102
Journal	Physics of Fluids
Volume	23
Issue number	10
DOIs	https://doi.org/10.1063/1.3643248
State	Published - 10 Oct 2011

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title = "Bubble growth by injection of gas into viscous liquids in cylindrical and conical tubes",

abstract = "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.",

author = "A. L{\'o}pez-Villa and A. Medina and Higuera, {F. J.}",

note = "Funding Information: The authors are grateful to Professor Y. Ryazantzev (UPM, Madrid) for his suggestion to study the growth of bubbles in conical containers. The participation of A.M. in this work was funded by IPN through the SIP Project No. 201000890, and by CONACYT through an equipment grant. F.J.H. acknowledges support from the Spanish Ministerio de Ciencia e Innovaci{\'o}n through Project No. DPI2010-20450-C03-01. Some experiments were carried out by the PIFI students A. Santana and C. Soriano, to whom the authors express their gratitude.",

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AU - López-Villa, A.

AU - Medina, A.

AU - Higuera, F. J.

N1 - Funding Information: The authors are grateful to Professor Y. Ryazantzev (UPM, Madrid) for his suggestion to study the growth of bubbles in conical containers. The participation of A.M. in this work was funded by IPN through the SIP Project No. 201000890, and by CONACYT through an equipment grant. F.J.H. acknowledges support from the Spanish Ministerio de Ciencia e Innovación through Project No. DPI2010-20450-C03-01. Some experiments were carried out by the PIFI students A. Santana and C. Soriano, to whom the authors express their gratitude.

PY - 2011/10/10

Y1 - 2011/10/10

N2 - 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.

AB - 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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M1 - 102102

ER -

Bubble growth by injection of gas into viscous liquids in cylindrical and conical tubes

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