CHM ENG 150A Study Guide - Midterm Guide: Bingham Plastic, Newtonian Fluid, Viscosity

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Drainage of a bingham plastic fluid from a vertical tube. A bingham plastic is a non-newtonian fluid that behaves as a rigid body at low stress and flows as a newtonian fluid at high stress. The material acts as a solid if the magnitude of the viscous stress is less than the yield stress, o. Only when the viscous stress exceeds 0 does the material flow continuously as a newtonian liquid with constant density and viscosity . Suppose a vertical tube of radius r and height ho is filled with a bingham plastic. Initially, the bottom of the tube rests on a horizontal plate that prevents flow, while the top is open to the atmosphere (figure 1a). At time t = 0, the bottom plate is removed (figure 1b). When flowing, the fluid obeys a pseudo-steady velocity profile rtv z rtv z tv.