The x-component of a velocity field is given here (expressed in Cartesian coordinates). This velocity profile results from pressure-driven flow through a slit with the top wall moving at velocity V...

The x-component of a velocity field is given here (expressed in Cartesian coordinates). This velocity profile results from pressure-driven flow through a slit with the top wall moving at velocity V (Figure 3.37). What is the average value of the velocity? 2H is the gap between the plates, a pressure gradient ∆P/L is imposed, and the fluid viscosity is μ. At what location is the velocity a maximum?