### Abstract

M. S. Howe [J. Fluid Mech. 206, 131 (1989)] presented integral formulas for the force and torque on a rigid body that permit the identification of the separate influences of added mass, normal stresses induced by free vorticity, and viscous skin friction. Here a simple extension of Howe's formulas is done for systems of several rigid bodies. The goal is to separate these effects on each rigid body. These new formulas may help in understanding the hydrodynamic interaction between bodies. As an example, the interaction forces on a pair of bubbles rising at high Reynolds number side by side are computed.

Original language | English (US) |
---|---|

Article number | 057108 |

Journal | Physics of Fluids |

Volume | 19 |

Issue number | 5 |

DOIs | |

State | Published - May 2007 |

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### ASJC Scopus subject areas

- Mechanics of Materials
- Computational Mechanics
- Physics and Astronomy(all)
- Fluid Flow and Transfer Processes
- Condensed Matter Physics

### Cite this

*Physics of Fluids*,

*19*(5), [057108]. https://doi.org/10.1063/1.2730481

**On the force and torque on systems of rigid bodies : A remark on an integral formula due to Howe.** / Ragazzo, Clodoaldo Grotta; Tabak, Esteban.

Research output: Contribution to journal › Article

*Physics of Fluids*, vol. 19, no. 5, 057108. https://doi.org/10.1063/1.2730481

}

TY - JOUR

T1 - On the force and torque on systems of rigid bodies

T2 - A remark on an integral formula due to Howe

AU - Ragazzo, Clodoaldo Grotta

AU - Tabak, Esteban

PY - 2007/5

Y1 - 2007/5

N2 - M. S. Howe [J. Fluid Mech. 206, 131 (1989)] presented integral formulas for the force and torque on a rigid body that permit the identification of the separate influences of added mass, normal stresses induced by free vorticity, and viscous skin friction. Here a simple extension of Howe's formulas is done for systems of several rigid bodies. The goal is to separate these effects on each rigid body. These new formulas may help in understanding the hydrodynamic interaction between bodies. As an example, the interaction forces on a pair of bubbles rising at high Reynolds number side by side are computed.

AB - M. S. Howe [J. Fluid Mech. 206, 131 (1989)] presented integral formulas for the force and torque on a rigid body that permit the identification of the separate influences of added mass, normal stresses induced by free vorticity, and viscous skin friction. Here a simple extension of Howe's formulas is done for systems of several rigid bodies. The goal is to separate these effects on each rigid body. These new formulas may help in understanding the hydrodynamic interaction between bodies. As an example, the interaction forces on a pair of bubbles rising at high Reynolds number side by side are computed.

UR - http://www.scopus.com/inward/record.url?scp=34250021274&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250021274&partnerID=8YFLogxK

U2 - 10.1063/1.2730481

DO - 10.1063/1.2730481

M3 - Article

VL - 19

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 5

M1 - 057108

ER -