### Abstract

Applications of couple stress and micropolar theories to the problems of oscillatory flow in a circular tube are discussed. Couple stress and spin angular momentum are considered in this approach. The exact solutions for velocity, micro-rotation, vorticity, shearing stress, flow rate and energy dissipation are obtained mathematically. The energy dissipation over the cross section are calculated numerically. These solutions are characterized by three parameters. One is dimensionless frequency W, which is called Womersley number. The others are the ratios of viscosities epsilon and the size effect parameter lambda , which do not appear in Newtonian fluid.

Original language | English |
---|---|

Pages (from-to) | 65-82 |

Number of pages | 18 |

Journal | Keio Science and Technology Reports |

Volume | 34 |

Issue number | 4 |

Publication status | Published - 1981 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Keio Science and Technology Reports*,

*34*(4), 65-82.

**OSCILLATORY FLOW OF A FLUID WITH COUPLE STRESS.** / Sawada, Tatsuo; Tanahashi, Takahiko; Ando, Tsuneyo.

Research output: Contribution to journal › Article

*Keio Science and Technology Reports*, vol. 34, no. 4, pp. 65-82.

}

TY - JOUR

T1 - OSCILLATORY FLOW OF A FLUID WITH COUPLE STRESS.

AU - Sawada, Tatsuo

AU - Tanahashi, Takahiko

AU - Ando, Tsuneyo

PY - 1981

Y1 - 1981

N2 - Applications of couple stress and micropolar theories to the problems of oscillatory flow in a circular tube are discussed. Couple stress and spin angular momentum are considered in this approach. The exact solutions for velocity, micro-rotation, vorticity, shearing stress, flow rate and energy dissipation are obtained mathematically. The energy dissipation over the cross section are calculated numerically. These solutions are characterized by three parameters. One is dimensionless frequency W, which is called Womersley number. The others are the ratios of viscosities epsilon and the size effect parameter lambda , which do not appear in Newtonian fluid.

AB - Applications of couple stress and micropolar theories to the problems of oscillatory flow in a circular tube are discussed. Couple stress and spin angular momentum are considered in this approach. The exact solutions for velocity, micro-rotation, vorticity, shearing stress, flow rate and energy dissipation are obtained mathematically. The energy dissipation over the cross section are calculated numerically. These solutions are characterized by three parameters. One is dimensionless frequency W, which is called Womersley number. The others are the ratios of viscosities epsilon and the size effect parameter lambda , which do not appear in Newtonian fluid.

UR - http://www.scopus.com/inward/record.url?scp=0019699892&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0019699892&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0019699892

VL - 34

SP - 65

EP - 82

JO - Keio Science and Technology Reports

JF - Keio Science and Technology Reports

SN - 0286-4215

IS - 4

ER -