Consider a water channel with air on the top surface. Water and air are immiscible fluids. We consider the channel to be infinitely long and wide but with finite depth. The flow is steady, incompressible, parallel, and laminar. The air at the surface of the lake moves at velocity V. Gravity is not neglected. The pressure at the bottom of the channel (2 = 0) is equal to 10 atm. Solve for the velocity field and the pressure field. Given: The depth of the water channel h, = 15 m The velocity of air at the surface V = 25.0 m/s The thickness of the air layer 2 = 12 m Assumption: There is no forced pressure gradient pushing the fluids through the channel; the flow is set up solely by viscous effects created by the moving upper plate. To solve for the velocity field and pressure field. we use the Navier-Stokes equations for incompressible flow with the given boundary conditions