The squeeze flow of a viscoplastic material between two parallel coaxial disks with yield slip condition at the wall is examined. The governing equations are solved employing the accelerated augmented Lagrangian method for both the viscoplastic model and the yield slip equation. We compute the shape of the yield surface, the velocity and stress fields using the finite difference method. The effect of squeeze flow parameters was studied. We confirm numerically the recently obtained by Muravleva (2017, 2019) asymptotic solutions. Depending on the ratio of two dimensionless parameters, partial slip (stick-slip) or full slip at the wall are possible.

中文翻译：

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通过加速增强拉格朗日法挤压宾厄姆，卡森和赫歇尔-布克利流体，并在壁上产生屈服滑移

检查了在壁上具有屈服滑动条件的两个平行同轴圆盘之间的粘塑性材料的挤压流动。对于粘塑性模型和屈服滑动方程，均采用加速增强拉格朗日法求解控制方程。我们使用有限差分法计算屈服面的形状，速度场和应力场。研究了挤压流动参数的影响。我们从数值上证实了Muravleva（2017，2019）渐近解最近获得的结果。根据两个无量纲参数的比率，可能会在墙壁上产生部分滑移（粘滑）或全滑移。