マイクロ・ポーラ理論による磁性流体の基礎方程式 : 第1報,歪テンソルとつり合い方程式

Previous theories of fundamental equations for magnetic fluids have not been able to describe the behaviour perfectly since they have not considered both viscoelastic effect and internal rotation simultaneously. In the present paper, to derive the complete set of equations, we unify the micropolar theory and the thermodynamical method. We introduce a micropolar method which describes the microscopic motion, and some strain tensors or strain measures are defined. The electromagnetic and the balance equations are obtained considering both the viscoelastic effect and the internal rotation. In this way, we assume that the velocity of fluid is sufficiently small compared with the velocity of light, and applied electric tield and polarization do not exist. Physical quantities concerned with the material coordinate and those concerned with the spatial coordinate are treated separately. The fundamental equations which we give are in micropolar continuum theoly.