Steady flows of Cosserat-Bingham fluids

作者：Ruzicka Michael^*; Shelukhin Vladimir; dos Santos Marcelo Martins

来源：Mathematical Methods in the Applied Sciences, 2017, 40(7): 2746-2761.

DOI：10.1002/mma.4195

• micropolar viscoplastic fluid
• yield stress
• non-Newtonian fluid approximation
• steady flows
• existence of weak solutions

The equations describing the steady flow of Cosserat-Bingham fluids are considered, and existence of weak solution is proved for the three-dimensional boundary-value problem with the use of the Lipschitz truncation argument. In contrast to the classical Bingham fluid, the micropolar Bingham fluid supports local micro-rotations and two types of plug zones. Our approach is based on an approximation of the constitutive relation by a generalized Newtonian constitutive relation and a subsequent limiting process.

• 出版日期2017-5