On the Linking up between Bingham Fluid and Plugged Flow

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Tsai Shu-tang, Jiang Yi-an. On the Linking up between Bingham Fluid and Plugged Flow[J]. Applied Mathematics and Mechanics, 1987, 8(3): 193-198.

Citation:

Tsai Shu-tang, Jiang Yi-an. On the Linking up between Bingham Fluid and Plugged Flow[J]. Applied Mathematics and Mechanics, 1987, 8(3): 193-198.

Citation:

Tsai Shu-tang, Jiang Yi-an. On the Linking up between Bingham Fluid and Plugged Flow[J]. Applied Mathematics and Mechanics, 1987, 8(3): 193-198.

1.
Department of Modern Mechanics, China University of Science and Technology, Hefei; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai;
2.
Department of physics, Hangzhou Normal College, Hangzhou

Abstract

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.