TY - JOUR

T1 - Thermodynamical Discussions for the Basic Equations of Conducting Magnetic Fluids

T2 - (Nonrelativistic and Nonpolar Theory)

AU - Shizawa, Kazuyuki

AU - Tanahashi, Takahiko

PY - 1985

Y1 - 1985

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 and Maxwellian stress in the constitutive equation of stress is derived in a general theory that polarized and magnetized media are exist. Then the following results are obtained from this theory: The surface forces acting on the material control surface include not only stress but also electromagnetic momentum flux density. And 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 and Maxwellian stress in the constitutive equation of stress is derived in a general theory that polarized and magnetized media are exist. Then the following results are obtained from this theory: The surface forces acting on the material control surface include not only stress but also electromagnetic momentum flux density. And pointing vectors in the material volume are observed in the relativistic electromagnetic fields which moves against the fixed system.

KW - Conducting Magnetic Fluid

KW - Constitutive Equation

KW - Dissipation function

KW - Electromagnetic Momentum

KW - Fluid Mechanics

KW - Free Energy

KW - Nonpolar Theory

KW - Nonrelativistic Theory

KW - Thermodynamical Method

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U2 - 10.1299/kikaib.51.2737

DO - 10.1299/kikaib.51.2737

M3 - Article

AN - SCOPUS:0022109243

VL - 51

SP - 2737

EP - 2745

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 -