THERMODYNAMICAL DISCUSSIONS FOR THE BASIC EQUATIONS OF CONDUCTING MAGNETIC FLUIDS.

Kazuyuki Shizawa, Takahiko Tanahashi

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)2737-2743
Number of pages7
JournalNippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Volume51
Issue number468
Publication statusPublished - 1985 Aug
Externally publishedYes

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BASIC (programming language)
Magnetic fluids
conduction
fluids
control surfaces
Control surfaces
constitutive equations
electricity
Constitutive equations
Electromagnetic fields
Free energy
Momentum
electromagnetic fields
Electricity
dissipation
flux density
free energy
electromagnetism
Fluxes
momentum

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

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title = "THERMODYNAMICAL DISCUSSIONS FOR THE BASIC EQUATIONS OF CONDUCTING MAGNETIC FLUIDS.",
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.",
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publisher = "Japan Society of Mechanical Engineers",
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AU - Shizawa, Kazuyuki

AU - Tanahashi, Takahiko

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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.

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