Abstract
Constitutive equations for conducting magnetic fluids have been studied by some researchers, but their equations cannot express the phenomena of conducting magnetic fluids perfectly because they have some defects, for example, some did not satisfy the principle of frame-indifference and not consider with viscoelastic effect. We suggest a new way of determination of constitutive equations for conducting magnetic fluids to formulate the theory that former defects are improved. That is the method which is a combination of the theory of integrity bases and the principle of maximal dissipation rate. The constitutive equations we obtain only include the terms which allowed by thermodynamics and satisfy the principle of frame-indifference. Furthermore, not only for compound process but also for complex process, we can obtain the nonlinear constitutive equations for conducting magnetic fluids
