Steady creeping motion of a liquid bubble in an immiscible viscous fluid bounded by a vertical porous cylinder of finite thickness

Nirmal C. Sacheti, Pallath Chandran, Bal S. Bhatt, Raj P. Chhabra

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The creeping vertical motion of a fluid sphere (drop or gas) or liquid bubbles of different shapes in another immiscible fluid confined by porous boundaries is encountered in several situations in industry and technology. Such flows axe generally multi-phase in nature. In this work, we have considered a flow field comprising a non-Newtonian bubble region surrounded by a liquid film of Newtonian fluid. This inner region is bounded by a permeable cylindrical medium pervaded by the same Newtonian fluid. We have studied the interaction features of this multiphase flow in terms of certain practically important geometrical and physical parameters. We have carried out an exact analysis of the governing equations in the three flow fields - Non-Newtonian, Newtonian. film and porous regions. The effects of pressure gradient, permeability and rheological parameters on the bubble velocity and the flow in different regions have been discussed.

Original languageEnglish
Pages (from-to)243-260
Number of pages18
JournalAdvanced Studies in Theoretical Physics
Volume2
Issue number5
Publication statusPublished - 2008

Fingerprint

Immiscible Fluids
viscous fluids
Viscous Fluid
Bubble
bubbles
Newtonian fluids
Vertical
Liquid
Motion
flow distribution
Newtonian Fluid
liquids
Flow Field
vertical motion
multiphase flow
fluids
pressure gradients
Multiphase Flow
permeability
Pressure Gradient

Keywords

  • Bubble velocity
  • Creeping motion
  • Immiscible fluid
  • Micropolar liquid bubble
  • Permeability
  • Porous medium
  • Pressure gradient
  • Rheological parameters

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

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abstract = "The creeping vertical motion of a fluid sphere (drop or gas) or liquid bubbles of different shapes in another immiscible fluid confined by porous boundaries is encountered in several situations in industry and technology. Such flows axe generally multi-phase in nature. In this work, we have considered a flow field comprising a non-Newtonian bubble region surrounded by a liquid film of Newtonian fluid. This inner region is bounded by a permeable cylindrical medium pervaded by the same Newtonian fluid. We have studied the interaction features of this multiphase flow in terms of certain practically important geometrical and physical parameters. We have carried out an exact analysis of the governing equations in the three flow fields - Non-Newtonian, Newtonian. film and porous regions. The effects of pressure gradient, permeability and rheological parameters on the bubble velocity and the flow in different regions have been discussed.",
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AU - Sacheti, Nirmal C.

AU - Chandran, Pallath

AU - Bhatt, Bal S.

AU - Chhabra, Raj P.

PY - 2008

Y1 - 2008

N2 - The creeping vertical motion of a fluid sphere (drop or gas) or liquid bubbles of different shapes in another immiscible fluid confined by porous boundaries is encountered in several situations in industry and technology. Such flows axe generally multi-phase in nature. In this work, we have considered a flow field comprising a non-Newtonian bubble region surrounded by a liquid film of Newtonian fluid. This inner region is bounded by a permeable cylindrical medium pervaded by the same Newtonian fluid. We have studied the interaction features of this multiphase flow in terms of certain practically important geometrical and physical parameters. We have carried out an exact analysis of the governing equations in the three flow fields - Non-Newtonian, Newtonian. film and porous regions. The effects of pressure gradient, permeability and rheological parameters on the bubble velocity and the flow in different regions have been discussed.

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KW - Immiscible fluid

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KW - Permeability

KW - Porous medium

KW - Pressure gradient

KW - Rheological parameters

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