### Abstract

The governing equations for magnetic fluids with good conductivity of heat and electricity have not been sufficiently discussed thermodynamically. In this paper a new strict simplified method of deriving the basic equations for such conducting magnetic fluids is presented by the thermodynamical method using free energy and dissipation function on the assumptions of the nonrelativistic and nonpolar theory. As results the physically desirable expression of the pressure part of Maxwellian stress in the constitutive equation of stress is derived in a general theory that polarized and magnetized media are exist. The following results are obtained form this theory: The surface forces acting on the material control surface include not only stress but also electromagnetic momentum flux density. Pointing vectors in the material volume are observed in the relativistic electromagnetic fields which moves against the fixed system.

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

Pages (from-to) | 2737-2743 |

Number of pages | 7 |

Journal | Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B |

Volume | 51 |

Issue number | 468 |

Publication status | Published - 1985 Aug |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

**THERMODYNAMICAL DISCUSSIONS FOR THE BASIC EQUATIONS OF CONDUCTING MAGNETIC FLUIDS.** / Shizawa, Kazuyuki; Tanahashi, Takahiko.

Research output: Contribution to journal › Article

*Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B*, vol. 51, no. 468, pp. 2737-2743.

}

TY - JOUR

T1 - THERMODYNAMICAL DISCUSSIONS FOR THE BASIC EQUATIONS OF CONDUCTING MAGNETIC FLUIDS.

AU - Shizawa, Kazuyuki

AU - Tanahashi, Takahiko

PY - 1985/8

Y1 - 1985/8

N2 - The governing equations for magnetic fluids with good conductivity of heat and electricity have not been sufficiently discussed thermodynamically. In this paper a new strict simplified method of deriving the basic equations for such conducting magnetic fluids is presented by the thermodynamical method using free energy and dissipation function on the assumptions of the nonrelativistic and nonpolar theory. As results the physically desirable expression of the pressure part of Maxwellian stress in the constitutive equation of stress is derived in a general theory that polarized and magnetized media are exist. The following results are obtained form this theory: The surface forces acting on the material control surface include not only stress but also electromagnetic momentum flux density. Pointing vectors in the material volume are observed in the relativistic electromagnetic fields which moves against the fixed system.

AB - The governing equations for magnetic fluids with good conductivity of heat and electricity have not been sufficiently discussed thermodynamically. In this paper a new strict simplified method of deriving the basic equations for such conducting magnetic fluids is presented by the thermodynamical method using free energy and dissipation function on the assumptions of the nonrelativistic and nonpolar theory. As results the physically desirable expression of the pressure part of Maxwellian stress in the constitutive equation of stress is derived in a general theory that polarized and magnetized media are exist. The following results are obtained form this theory: The surface forces acting on the material control surface include not only stress but also electromagnetic momentum flux density. Pointing vectors in the material volume are observed in the relativistic electromagnetic fields which moves against the fixed system.

UR - http://www.scopus.com/inward/record.url?scp=0022109243&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022109243&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0022109243

VL - 51

SP - 2737

EP - 2743

JO - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

JF - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

SN - 0387-5016

IS - 468

ER -