Continuum Mechanics and Thermodynamics ( IF 1.9 ) Pub Date : 2021-02-13 , DOI: 10.1007/s00161-021-00973-w Mariia Fomicheva , Elena N. Vilchevskaya , Nikolay Bessonov , Wolfgang H. Müller
In this paper, the solution to a coupled flow problem for a micropolar medium undergoing structural changes is presented. The structural changes occur because of a grinding of the medium in a funnel-shaped crusher. The standard macroscopic equations for mass and linear momentum are solved in combination with a balance equation for the microinertia tensor containing a production term. The constitutive equations of the medium describe a linear viscous material with a viscosity coefficient depending on the characteristic particle moment of inertia, the so-called microinertia. A coupled system of equations is presented and solved numerically in order to determine the distribution of the fields for velocity, pressure, viscosity coefficient, and microinertia in all points of the continuum. The numerical solution to this problem is found by using the implicit finite difference method and the upwind scheme.
中文翻译:
漏斗形破碎机中的微极性介质
在本文中,提出了解决微极性介质结构变化的耦合流动问题的解决方案。由于在漏斗形破碎机中研磨介质而发生结构变化。将质量和线性动量的标准宏观方程与包含生产项的微惯性张量的平衡方程结合起来求解。介质的本构方程描述了一种线性粘性材料,其粘度系数取决于颗粒惯性矩,即所谓的微惯性。提出了一个耦合的方程组,并对其进行了数值求解,以确定速度,压力,粘度系数和微惯性在连续体所有点上的分布。