MAE 242 Summer 2024 HW5 Problem 1: Consider the pipe system presented here. You have fluid flowing into a pipe at Point A. Point B is capped, so no fluid is flowing out of the top of the pipe. There are two outlets: Point C and Point D. If water flows in the Pipe at Point A with a Velocity at 8 m/s and has a diameter of 100 mm. The outflow pipes at Point C and Point D each have a diameter of 20 mm. The height of the pipe is 5 meters. Determine the Velocity at Point D and Point C. What is the pressure of the fluid in the Pipe at Point A? Point B Point D Point C Point A Problem 2: A milkshake has fairly similar density to that of water (p = 1200 kg/m3) but is far more viscous with µ = 1 kg/m*s. d Part A: Say you try to drink a milkshake through a straw that is 30 cm long and 5 mm in diameter. Your lungs are capable of creating a vacuum pressure of 3000 Pa. (Vacuum pressure just means a pressure below that of the atmosphere, so Plung = Patm - 3000 Pa.). You find that if you place the straw just at the surface of the liquid, you are unable to suck the milkshake through the straw, but if you push the straw deeper into the shake, you can. To what depth, d, would you need to push the straw in order to just start to sip the milkshake? Part B: Suppose you push the straw to a depth of 10 cm and suck with a suction pressure of -3000 N/m2. What volume flow rate of milkshake can you produce through the straw? Hint: You may want to use a pseudo-streamline with station 1 at the surface of the milkshake. You also might want to assume you have laminar flow through the straw, which you can check once you have a solution.