### Abstract

A few fundamental steady flows of polar fluid, i. e. , flow in a circular tube, flow between two parallel plates and flow between two coaxial cylinders are analyzed with the help of the theory of Eringen. Couple stress and spin angular momentum are considered in this approach. The exact solutions for velocity, micro-rotation, vorticity and shearing stress are obtained mathematically. These solutions are characterized by two parameters, i. e. , the ratio of viscosities epsilon and the size effect parameter lambda which do not appear in a Newtonian fluid. epsilon is the ratio of vortex viscosity to shear viscosity. epsilon means the size relation between the corpuscle and the characteristic length. The solutions are compared with those of Newtonian fluid and it is investigated how they vary with epsilon and lambda . Apparent viscosity is determined for each flow. Material constants of polar fluid can be decided from these apparent viscosities.

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

Pages (from-to) | 1778-1786 |

Number of pages | 9 |

Journal | Bulletin of the JSME |

Volume | 24 |

Issue number | 196 |

Publication status | Published - 1981 Oct |

Externally published | Yes |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Bulletin of the JSME*,

*24*(196), 1778-1786.

**FUNDAMENTAL STEADY FLOW OF POLAR FLUIDS.** / Sawada, Tatsuo; Tanahashi, Takahiko.

Research output: Contribution to journal › Article

*Bulletin of the JSME*, vol. 24, no. 196, pp. 1778-1786.

}

TY - JOUR

T1 - FUNDAMENTAL STEADY FLOW OF POLAR FLUIDS.

AU - Sawada, Tatsuo

AU - Tanahashi, Takahiko

PY - 1981/10

Y1 - 1981/10

N2 - A few fundamental steady flows of polar fluid, i. e. , flow in a circular tube, flow between two parallel plates and flow between two coaxial cylinders are analyzed with the help of the theory of Eringen. Couple stress and spin angular momentum are considered in this approach. The exact solutions for velocity, micro-rotation, vorticity and shearing stress are obtained mathematically. These solutions are characterized by two parameters, i. e. , the ratio of viscosities epsilon and the size effect parameter lambda which do not appear in a Newtonian fluid. epsilon is the ratio of vortex viscosity to shear viscosity. epsilon means the size relation between the corpuscle and the characteristic length. The solutions are compared with those of Newtonian fluid and it is investigated how they vary with epsilon and lambda . Apparent viscosity is determined for each flow. Material constants of polar fluid can be decided from these apparent viscosities.

AB - A few fundamental steady flows of polar fluid, i. e. , flow in a circular tube, flow between two parallel plates and flow between two coaxial cylinders are analyzed with the help of the theory of Eringen. Couple stress and spin angular momentum are considered in this approach. The exact solutions for velocity, micro-rotation, vorticity and shearing stress are obtained mathematically. These solutions are characterized by two parameters, i. e. , the ratio of viscosities epsilon and the size effect parameter lambda which do not appear in a Newtonian fluid. epsilon is the ratio of vortex viscosity to shear viscosity. epsilon means the size relation between the corpuscle and the characteristic length. The solutions are compared with those of Newtonian fluid and it is investigated how they vary with epsilon and lambda . Apparent viscosity is determined for each flow. Material constants of polar fluid can be decided from these apparent viscosities.

UR - http://www.scopus.com/inward/record.url?scp=0019626963&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0019626963&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0019626963

VL - 24

SP - 1778

EP - 1786

JO - Bulletin of the JSME

JF - Bulletin of the JSME

SN - 0021-3764

IS - 196

ER -