An incompressible viscous flow is contained between two parallel plates separated from each other by distance b. as shown in Figure 1. The flow is caused by the movement of the upper plate which has a velocity U, while the bottom plate is fixed. If U =3 m/s and b= 2.2 cm, and there is no pressure gradient in the flow direction.
Fig Q1: Flow between two plates. The bottom is fixed and the upper is moving.
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.
a) Start with Navier-Stokes equations and determine the velocity at the point x = 5 cm and y= 0.53 cm.
b) Calculate the magnitude of the vorticity at the same point.
c) Calculate the rate of angular deformation at the same point.
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