宾汉流体与塞流的衔接问题

宾汉体在流动时候,离边壁远的地方经常会产生塞流现象。由于塞流没有明确的本构关系式,所以在有些问题中,得到的解可能会存在不确定性。本文讨论了环孔流动和管流,利用剪应力的解析性质,得到了唯一的解,并且和石油工程中泥浆流动时压力降的常用公式进行比较,表达式的形状是完全一样的。

On the Linking up between Bingham Fluid and Plugged Flow

When Bingham fluid is in motion, plugged flow often occurs at places far from the boundary walls. As there is not a decisive formula of constitutive relation for plugged flow, in some problems the solutions obtained may be indefinite. In this paper, annular flow and pipe flow are discussed, and unique solution is obtained in each case by utilizing the analytic property of shear stress. The solutions are identical in form with the commonly used formula for the pressure drop of mud flow in petroleum engineering.