### Abstract

A new complete set of the basic equations for magnetic fluids with internal rotation are determined by the thermodynamical method in which free energy and dissipation function are used on basis of the coservation laws. Then a simple way to find a form of the dissipation function is given. As a result, the quasi-conservative part in the constitutive equation of stress and the constitutive equation of couple stress are derived in a physically suitable form in comparison with the other theories. Exact representation for the pressure part of stress is obtained, and Maxwellian stress tensor is introduced into the constitutive equation of stress. An equation of energy for magnetic fluids possessing an internal angular momentum which has never been presented is formulated in this paper.

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

Pages (from-to) | 1942-1948 |

Number of pages | 7 |

Journal | Bulletin of the JSME |

Volume | 28 |

Issue number | 243 |

Publication status | Published - 1985 Sep |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Bulletin of the JSME*,

*28*(243), 1942-1948.

**NEW COMPLETE SET OF BASIC EQUATIONS FOR MAGNETIC FLUIDS WITH INTERNAL ROTATION.** / Shizawa, Kazuyuki; Tanahashi, Takahiko.

Research output: Contribution to journal › Article

*Bulletin of the JSME*, vol. 28, no. 243, pp. 1942-1948.

}

TY - JOUR

T1 - NEW COMPLETE SET OF BASIC EQUATIONS FOR MAGNETIC FLUIDS WITH INTERNAL ROTATION.

AU - Shizawa, Kazuyuki

AU - Tanahashi, Takahiko

PY - 1985/9

Y1 - 1985/9

N2 - A new complete set of the basic equations for magnetic fluids with internal rotation are determined by the thermodynamical method in which free energy and dissipation function are used on basis of the coservation laws. Then a simple way to find a form of the dissipation function is given. As a result, the quasi-conservative part in the constitutive equation of stress and the constitutive equation of couple stress are derived in a physically suitable form in comparison with the other theories. Exact representation for the pressure part of stress is obtained, and Maxwellian stress tensor is introduced into the constitutive equation of stress. An equation of energy for magnetic fluids possessing an internal angular momentum which has never been presented is formulated in this paper.

AB - A new complete set of the basic equations for magnetic fluids with internal rotation are determined by the thermodynamical method in which free energy and dissipation function are used on basis of the coservation laws. Then a simple way to find a form of the dissipation function is given. As a result, the quasi-conservative part in the constitutive equation of stress and the constitutive equation of couple stress are derived in a physically suitable form in comparison with the other theories. Exact representation for the pressure part of stress is obtained, and Maxwellian stress tensor is introduced into the constitutive equation of stress. An equation of energy for magnetic fluids possessing an internal angular momentum which has never been presented is formulated in this paper.

UR - http://www.scopus.com/inward/record.url?scp=0022130962&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022130962&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0022130962

VL - 28

SP - 1942

EP - 1948

JO - Bulletin of the JSME

JF - Bulletin of the JSME

SN - 0021-3764

IS - 243

ER -