Micropolar Theory for Viscoelastic Magnetic Fluids

Abstract

Micropolar theory, and the thermodynamical method are unified to derive a new complete set of equations for magnetic fluids. Some strain tensors are defined using micropolar theory, and the electromagnetically and kinematically balanced equations are obtained considering both the viscoelastic effect and internal rotation. Using the principle of material frame indifference and the principle of maximal dissipation rate, the constitutive equations including nonlinear terms are determined from the thermodynamical relations such as Gibbs equation and the dissipation function. These equations can represent the behavior of magnetic fluids sufficiently when viscoelastic effect, internal rotation and nonlinear effect are considered.