YA

X

0=45⁰

✓ A3

Part a: Write down the normal vectors in components at the control surfaces at location 1, 2 and

3 (₁, ₂, 3)

Part b: The time rate of change of mass of a system is given by:

Day-pdv +PV-A

Dt

Days=0 in this situation? Why is Joy pdV=0 in this situation?

Dt

Why is

Part c: Write down the expression and fill in the different terms for location 1, 2, 3 of

Jes PV ndA=0

(1)

Part d: Solve at location 3 for the magnitude of the velocity V3 and the velocity vector Va. Confirm

and show that V3 = V₁ |-/nProblem 3: Flow device

Please consider the flow through the geometry in the figure below.

The system is at steady-state and the fluid is incompressible with density p= 1050kg/m³. There are

three regions of interest (1, 2, 3), with their unique inlet/outlet areas A₁ = 0.10m², A₂ = 0.02m²,

A3 = 0.05m² and velocities V₁ = 5 m/s, V₂ = -101 m/s. The sprout at location 3 is inclined

downwards with inclination 0= 45 degrees.

25 points