Power Expended Theorem for Micropolar Conducting Magnetic Fluids

Abstract

Power expended theorems or energy methods are generally used for structural analysis in materials science. These theorems are constructed from the standpoint of statics and most of them cannot be employed when dissipative phenomena are considered. In the present paper, a power expended theorem for magnetic fluids is obtained for the first time considering both internal rotation and electrical conduction. The derivation is based on the kinematic balanced equations and constitutive equations for conducting magnetic fluids assuming that suspended fine particles rotate rigidly and the velocity of fluids is much smaller than that of light. In developing this theorem, we expect to find some useful information concerning both the flow field and the electro-magnetic field in the flow of magnetic fluids.