### Abstract

This paper presents the numerical results of the hydrodynamic drag force acting on a spherical particle positioned in an accelerated flow of Newtonian fluids inside a converging circular (tapered) tube. The sphere is located on the axis of the tube in a pressure-driven parabolic Poiseuille-type flow. The computations have been performed using the finite volume based commercial package FLUENT 5. The standard contraction diameter ratio of 10:1 and three half-angle values, 10°, 20° and 30° have been considered. The ratio of the sphere radius to the downstream tube radius, a/R_{2}, is = 0.2. The computations were carried out for creeping flow regime (particle Reynolds number based on the particle diameter and maximum velocity at downstream section, Re_{2} = 0.01). The results are presented in terms of the wall correction factor, K, which is defined as the ratio of the drag force on the sphere at a given separation distance to that on the sphere in an unbounded fluid (Stokes force). The separation distance is defined as the distance between the centre of the sphere and the inlet of the conical section of the tube. Results show that the hydrodynamic drag force acting on a spherical particle at various separation distances increases substantially especially towards the exit.

Original language | English |
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Pages (from-to) | 483-492 |

Number of pages | 10 |

Journal | Advances in Fluid Mechanics |

Volume | 32 |

Publication status | Published - 1 Dec 2002 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Energy Engineering and Power Technology
- Mechanical Engineering
- Condensed Matter Physics

### Cite this

*Advances in Fluid Mechanics*,

*32*, 483-492.

**The drag on a sphere in a tapered tube.** / Ahmed, H. A.; Sharif, A.; Ghadiri, M.

Research output: Contribution to journal › Article

*Advances in Fluid Mechanics*, vol. 32, pp. 483-492.

}

TY - JOUR

T1 - The drag on a sphere in a tapered tube

AU - Ahmed, H. A.

AU - Sharif, A.

AU - Ghadiri, M.

PY - 2002/12/1

Y1 - 2002/12/1

N2 - This paper presents the numerical results of the hydrodynamic drag force acting on a spherical particle positioned in an accelerated flow of Newtonian fluids inside a converging circular (tapered) tube. The sphere is located on the axis of the tube in a pressure-driven parabolic Poiseuille-type flow. The computations have been performed using the finite volume based commercial package FLUENT 5. The standard contraction diameter ratio of 10:1 and three half-angle values, 10°, 20° and 30° have been considered. The ratio of the sphere radius to the downstream tube radius, a/R2, is = 0.2. The computations were carried out for creeping flow regime (particle Reynolds number based on the particle diameter and maximum velocity at downstream section, Re2 = 0.01). The results are presented in terms of the wall correction factor, K, which is defined as the ratio of the drag force on the sphere at a given separation distance to that on the sphere in an unbounded fluid (Stokes force). The separation distance is defined as the distance between the centre of the sphere and the inlet of the conical section of the tube. Results show that the hydrodynamic drag force acting on a spherical particle at various separation distances increases substantially especially towards the exit.

AB - This paper presents the numerical results of the hydrodynamic drag force acting on a spherical particle positioned in an accelerated flow of Newtonian fluids inside a converging circular (tapered) tube. The sphere is located on the axis of the tube in a pressure-driven parabolic Poiseuille-type flow. The computations have been performed using the finite volume based commercial package FLUENT 5. The standard contraction diameter ratio of 10:1 and three half-angle values, 10°, 20° and 30° have been considered. The ratio of the sphere radius to the downstream tube radius, a/R2, is = 0.2. The computations were carried out for creeping flow regime (particle Reynolds number based on the particle diameter and maximum velocity at downstream section, Re2 = 0.01). The results are presented in terms of the wall correction factor, K, which is defined as the ratio of the drag force on the sphere at a given separation distance to that on the sphere in an unbounded fluid (Stokes force). The separation distance is defined as the distance between the centre of the sphere and the inlet of the conical section of the tube. Results show that the hydrodynamic drag force acting on a spherical particle at various separation distances increases substantially especially towards the exit.

UR - http://www.scopus.com/inward/record.url?scp=2942668555&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2942668555&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:2942668555

VL - 32

SP - 483

EP - 492

JO - Advances in Fluid Mechanics

JF - Advances in Fluid Mechanics

SN - 1353-808X

ER -