The Ostwald–deWaele equation is often used to correlate the shear stress and shear rate relationship of shear-thickening fluids such as a cornstarch suspension. Here: Consider a cornstarch solution in...

The Ostwald–deWaele equation is often used to correlate the shear stress and shear rate relationship of shear-thickening fluids such as a cornstarch suspension. Here:

Consider a cornstarch solution in the gap between two long parallel plates. One of the plates is stationary and the other is dragged along with a constant velocity, vo. Solve for the steady-state velocity profile assuming a gap thickness of, th. What force per unit area is required to yank the top plate at the prescribed velocity? What happens as the velocity is increased?