Thermodynamics of micropolar Bingham fluids

Starting from the basic thermodynamic principles, we derive equations of micropolar Bingham fluids allowing for the variable concentration of polar particles. On the one hand, such fluids exhibit couple stresses, a non-symmetrical stress tensor, microrotations, and microinertia. On the other hand, the fluids support a yield stress. It was proved earlier that a micropolar fluid model can reproduce the Ségre-Silberberg effect. Here, we study how the yield stress impacts this effect.