### 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 |
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Pages (from-to) | 65-82 |

Number of pages | 18 |

Journal | Keio Science and Technology Reports |

Volume | 34 |

Issue number | 4 |

Publication status | Published - 1981 Jan 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Keio Science and Technology Reports*,

*34*(4), 65-82.