An incompressible viscous flow is contained between two parallel plates separated from each other by distance b. The flow is caused by the movement of the upper plate which has a velocity U, while the bottom plate is fixed. If U = 9.5 m/s and b = 3.2 cm, and there is no pressure gradient in the flow direction.

a) Start with Navier-Stokes equations and determine the velocity at the point x = 7 cm and y= 0.56 cm.

b) Calculate the magnitude of the vorticity at the same point.

c) Calculate the rate of angular deformation at the same point.

Work to 4 significant digits. Enter all values using base units or their combinations, i.e. m, m/s, Pa, N. Do not use multiples as e.g. mm, kPa.

You can use values with exponents, such as 0.12e3.