Question 1 A two-dimensional (planar) flow is generated with differential pressure between two parallel plates as shown in the following figure. There is only one non-zero velocity component in the flow domain, that is, the flow is parallel. The velocity (u) is in x-direction and it varies in y-direction. The pressure gradient in x-direction (dxd) is constant throughout the flow domain. As the fluid flows in perpendicular to gravity, the impact of gravitational acceleration on the flow field is negligible. A) Use Navier-Stokes equations to find the velocity profile between the plates. [6.0] B) What is the maximum velocity in the flow domain? [2.0] C) Clearly write down the assumptions and boundary conditions necessary to solve the problem. [2.0]