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:

\[\tau_{x y}=K\left(-\frac{d v_{x}}{d y}\right)^{n} \quad n>1\]

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, \(v_{o}\). Solve for the steady-state velocity profile assuming a gap thickness of, \(t_{h}\). What force per unit area is required to yank the top plate at the prescribed velocity? What happens as the velocity is increased?