Fundamental Nonlinear Theory for Micropolar Electrically Conducting Fluids : Conservation Law, Nonequilibrium Thermodynamics, Peltier Effect

Abstract

In the present paper, the conservation laws for micropolar electrically conducting fluids with many small fine particles are discussed on the basis of a nonequilibrium thermodynamics relation which leads easily to precise expressions of the energy flux vector and the dissipation function of micropolar fluids. The thermodynamic pressure defined here is based on the local conservation laws of mass, momentum and entropy, which satisfies the mutually complementary relationship with the sum of kinetic energy and internal energy. As a result we obtain Euler's thermodynamic relation as a homogeneous function in the first order of entropy, density and pressure. The above discussion takes into account the three parts of nonpolar fluid, polar fluid and micropolar electrically conducting fluid.