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

Abstract

Micropolar electrically conducting fluids are electromagnetic fluids such as magnetic fluid, electrically conducting fluid and electrically polarized fluid. The present paper precisely shows how electromagnetic momentum, electromagnetic angular momentum and electromagnetic energy are converted into mechanical energy in micropolar electrically conducting fluids. Gibbs equation is derived using the basic equations and the Maxwell stress tensor obtained in a previous paper. Furthermore, Bernoulli's theorem is generalized for the micropolar polarized fluid and ferrofluid, and it is shown that the new Bernoulli's theorem includes Bernoulli's theorem for magnetic fluid derived by Rosensweig.