Stokes’ Law Use Stoke’s law or apply drag coefficient for a sphere in creeping flow to find terminal velocity; neglect any up or down draft air currents and take buoyance into account a)Calculate how long the smallest of the dust cloud particles will take to settle to the ground from the maximum height of the plume

Pair 1.2041 kg/m³ = Calculate: Velocity profile and plotting the dynamic pressure vs. Velocity at main stream velocity 10 m/s and 20 m/s Location 1 2 3 4 5 Initial Velocity 10 m/s P static (Pa) P total (Pa) 123 143 176 256 274 109 132 142 200 136 Velocity (m/s)

An air stream flows over a smooth plate with Reynolds number of 106. The boundary layer can be assumed to be turbulent over the entire plate. If the length of the plate is increased by 10%, taking all the factors same, what is percentage change in the total drag coefficient? [Take (1.1)0.2 = 1.019]

A 90° elbow in a horizontal pipe is used to direct water flow upward at a rate of 47 kg/s. Another identical elbow is attached to the existing elbow such that the water flow makes a U-turn as shown in the second figure. The diameter of the entire elbow is 10 cm. The elbow discharges water into the atmosphere, and thus the pressure at the exit is the local atmospheric pressure. The elevation difference between the centers of the exit and the inlet of the elbow is 50 cm. The weight of the elbow and the water in it is considered to be negligible. Take the momentum-flux correction factor to be 1.03 at both the inlet and the outlet. Take the density of water to be 1000 kg/m³. Water m kg/s Water 2 1 FRI 50 cm FRX 50 cm If another (identical) elbow is attached to the existing elbow so that the fluid makes a U-turn, determine the magnitude of anchoring force needed to hold the elbow in place. The magnitude of anchoring force needed to hold the elbow in place is 438 * N.