Problem 1:

A velocity field is given by

Find the velocity and acceleration at point (1,1,1) at time t = 1 second. Write the acceleration vector.

Given that:

Problem 2:

A reducing elbow in a horizontal pipe is used to deflect water flow by an angle θ = 30o from the flow direction while accelerating it. The elbow discharges water into atmosphere. The cross-sectional area of elbow is 140 cm2 at the inlet and 20 cm2 at the exit. The elevation difference between the centres of the exit and the inlet is 30 cm. The mass of the elbow and the water in it is 40 kg. Determine the anchoring force needed to hold the elbow in place. Take the momentum-flux correction factor to be 1.03 at both the inlet and outlet.