### 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 language | English |
---|---|

Pages (from-to) | 243-260 |

Number of pages | 18 |

Journal | Advanced Studies in Theoretical Physics |

Volume | 2 |

Issue number | 5 |

Publication status | Published - 2008 |

### Fingerprint

### 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

*Advanced Studies in Theoretical Physics*,

*2*(5), 243-260.

**Steady creeping motion of a liquid bubble in an immiscible viscous fluid bounded by a vertical porous cylinder of finite thickness.** / Sacheti, Nirmal C.; Chandran, Pallath; Bhatt, Bal S.; Chhabra, Raj P.

Research output: Contribution to journal › Article

*Advanced Studies in Theoretical Physics*, vol. 2, no. 5, pp. 243-260.

}

TY - JOUR

T1 - Steady creeping motion of a liquid bubble in an immiscible viscous fluid bounded by a vertical porous cylinder of finite thickness

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.

AB - 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.

KW - Bubble velocity

KW - Creeping motion

KW - Immiscible fluid

KW - Micropolar liquid bubble

KW - Permeability

KW - Porous medium

KW - Pressure gradient

KW - Rheological parameters

UR - http://www.scopus.com/inward/record.url?scp=44449177577&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=44449177577&partnerID=8YFLogxK

M3 - Article

VL - 2

SP - 243

EP - 260

JO - Advanced Studies in Theoretical Physics

JF - Advanced Studies in Theoretical Physics

SN - 1313-1311

IS - 5

ER -