Thermodynamics of a Moving Continuum Medium

Again, consistently with ( 4.11 ), consider, in some Cartesian coordinate system \((*)\) , the Second Law of Newton for the moving continuum medium with the inertial mass density \(\mu \) , the field of average (macroscopic) velocities \(\textbf{u}\) , the charge density \(\rho \) and the electric current density \(\textbf{j}\) .