### Abstract

A creeping flow of micropolar fluids past a sphere is presented by using a vector potential. As a boundary condition, an intermediate spin condition between zero spin and one-half of vorticity is used. Analytical expressions for velocity, vorticity, microrotation in the flow field and drag on the sphere are obtained, which are completely characterized by three dimensionless parameters, i. e. the ratio of vortex viscosity to shear viscosity, the size effect parameter of corpuscles to the sphere and the wall-condition parameter. Characteristics of steady flows past a sphere are investigated for these parameters. The viscosity ratio represents a polar effect which occurs between corpuscles and the fluid. The size effect parameter means the ratio of a corpuscle to the radius of a sphere.

Original language | English |
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Journal | Keio Science and Technology Reports |

Volume | 36 |

Issue number | 4 |

Publication status | Published - 1983 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Keio Science and Technology Reports*,

*36*(4).

**STOKESIAN FLOW OF A MICROPOLAR FLUID PAST A SPHERE.** / Sawada, Tatsuo; Kamata, Toshihiro; Tanahashi, Takahiko; Ando, Tsuneyo.

Research output: Contribution to journal › Article

*Keio Science and Technology Reports*, vol. 36, no. 4.

}

TY - JOUR

T1 - STOKESIAN FLOW OF A MICROPOLAR FLUID PAST A SPHERE.

AU - Sawada, Tatsuo

AU - Kamata, Toshihiro

AU - Tanahashi, Takahiko

AU - Ando, Tsuneyo

PY - 1983

Y1 - 1983

N2 - A creeping flow of micropolar fluids past a sphere is presented by using a vector potential. As a boundary condition, an intermediate spin condition between zero spin and one-half of vorticity is used. Analytical expressions for velocity, vorticity, microrotation in the flow field and drag on the sphere are obtained, which are completely characterized by three dimensionless parameters, i. e. the ratio of vortex viscosity to shear viscosity, the size effect parameter of corpuscles to the sphere and the wall-condition parameter. Characteristics of steady flows past a sphere are investigated for these parameters. The viscosity ratio represents a polar effect which occurs between corpuscles and the fluid. The size effect parameter means the ratio of a corpuscle to the radius of a sphere.

AB - A creeping flow of micropolar fluids past a sphere is presented by using a vector potential. As a boundary condition, an intermediate spin condition between zero spin and one-half of vorticity is used. Analytical expressions for velocity, vorticity, microrotation in the flow field and drag on the sphere are obtained, which are completely characterized by three dimensionless parameters, i. e. the ratio of vortex viscosity to shear viscosity, the size effect parameter of corpuscles to the sphere and the wall-condition parameter. Characteristics of steady flows past a sphere are investigated for these parameters. The viscosity ratio represents a polar effect which occurs between corpuscles and the fluid. The size effect parameter means the ratio of a corpuscle to the radius of a sphere.

UR - http://www.scopus.com/inward/record.url?scp=0020947831&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0020947831&partnerID=8YFLogxK

M3 - Article

VL - 36

JO - Keio Science and Technology Reports

JF - Keio Science and Technology Reports

SN - 0286-4215

IS - 4

ER -