Solve the below problem:
Q: For the elbow duct in Fig SAE 30 oil at 20°C enters section 1 at 350 N/s, where the flow is laminar, and exits at section 2, where the flow is turbulent: u1 ˜ Vav1 (1-r2 / r2 1) u2 ˜ Vav2 (1-r/R2) 1/7. Assuming steady incompressible flow, compute the force, and its direction, of the oil on the elbow due to momentum change only (no pressure change or friction effects) for
(a) Unit momentum-flux correction factors and
(b) Actual correction factors ß1 and ß2