Fundamental nonlinear theory for micropolar electrically conducting fluids. 2nd report: Electromagnetic momentum, Gibbs' equation, Bernoulli's theorem.

隆彦, 棚橋; 康司, 井門

doi:10.1299/kikaib.57.66

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“…In case of considering internal rotation, Shliomis (5), (6) , Berkovsky, et al (7) , Jansons (8) , Tanahashi, et al (9) , , Shizawa-Tanahashi (11), (12) , the authors (13) - (16) , Liu (17) , Felderhof-Kroh (18) , Felderhof (19) , Müller-Engel (20) and Müller-Liu (21) reported the theoretical discussion on the basic equations of magnetic fluids. Tanahashi-Okanaga (22) and the authors (23), (24) reported the micropolar theory for electrically conducting fluids in which magnetic fluids were included. Although above-mentioned theories have been proposed, the equation system for magnetic fluids is not yet established, especially, there have been several problems in the constitutive equation of magnetiza-tion.…”

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confidence: 99%

Basic Equations and Constitutive Equations of Micropolar Magnetic Fluids with E-B Analogy and the Abraham Expression of Electromagnetic Momentum

Ido

2005

JSME international journal. Ser. B, Fluids and thermal engineer

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A complete set of basic equations for magnetic fluids with internal rotation is proposed in this paper. The basic equations are derived from the conservation laws of mass, linear momentum, angular momentum and energy, while the constitutive equations are obtained by the thermodynamical method that is based on the free energy and the dissipation function. The concrete expression of constitutive equations are determined by the principle of material frame indifference and the principle of maximal dissipation rate. The Abraham expression of the electromagnetic momentum and E-B analogy are adopted in this theory. It is shown that the difference in the basic equations in case of adopting the Abraham expression and the Minkowski expression, respectively. The constitutive equation of magnetization which includes the Shliomis relaxation equation (1972) is proposed.

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