Problem 3 Air at 60°F and atmospheric pressure flows in a horizontal duct with a cross section corresponding to an equilateral triangle (all sides equal). The duct is 100 ft long, and the dimension of a side is 6 in. The duct is constructed of galvanized iron (k; = 0.0005 ft). The mean velocity in the duct is 12 ft/s. What is the pressure drop over the 100 ft length? - 100 ft- 12 ft/s E 6 in -

A joining elbow on horizontal plane is shown in the figure. The fluid is water and assumed to be ideal. Pipe 2 is open to the atmosphere. The flow velocity of pipe 2 is given as Uz = [2+ (k/10)] m/s, and pressure at pipe 3 is p3 = 1.6 + k/ 4 kPa. (k=5) a) Calculate the flow velocity at pipe 3 (u3 = ?) b) Calculate the discharge and flow velocity of pipe 1 (Q = ?, ui = ?). c) Calculate the pressure at pipe 1 (p. = ?). d) Calculate the x and y components of the net force acting on the joining elbow by the fluid. Draw the force vector. Atmosfer dz-25 cm d;=40 cm d;=25 cm 3 300

Heavy machine tool lubricating oil (ref. Appendix C applied fluid mechanics) is pumped through six rectangular slots in a heat exchanger (oil flows in the white rectangles in section view a-a) as shown below. You may assume that the oil flows through the heat exchanger with a constant temperature of 40°C. If the flow rate from A to B is 3 cm³/sec determine the Reynolds number for the oil flow. Is the flow laminar or turbulent?

Question 2A large vat contains water, which contains a drainage pipe at a height h1, as shown infigure 2. The drainage pipe has a length L. = 0.4 m, and a radius R = 15 mm, and releaseswater to the atmosphere at a flow rate Q. The connection between the pipe and the vatwall has a loss coefficient of KL = 0.8.Point A is in the middle of the tank at a height, hi.You can assume that the flow in the drainage pipe is fully developed and laminar. The density of water is p = 1000 kg/m° and the viscosity is u = 1 mPa.s. The acceleration due to gravity is 9.81 m/s? a) Find an expression for the pressure at point A.b) Find an expression in terms of Q, L, d, K, p and u for the pressure losses along the pipe (including the losses at the inlet and exit).c) If the flowrate out of the drainage tank is Q = 50 L/min, find ho. You may assumeany change of ho with time is negligible.