MA3006 Tutorial 1-5(1).docx - MA3006 FLUID MECHANICS Tutorial 1 – Momentum equation 1 Water flowing through a horizontal pipe is directed upward by a

MA3006 Tutorial 1-5(1).docx - MA3006 FLUID MECHANICS...

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Water 20 kg/s 50 cm Water 3 m/s 0.75 m 450 Water 0.05 m dia. 0.025 m dia. nozzle horizontal pipe MA3006 FLUID MECHANICS Tutorial 1 – Momentum equation 1. Water flowing through a horizontal pipe is directed upward by a 90 0 elbow. The mass flow rate of water is 20 kg/s and the diameter of the entire elbow is 10 cm. The elbow discharges the water into the atmosphere. The elevation difference between the centres 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. Determine the gauge pressure at the centre of the inlet of the elbow and the anchoring force to hold the elbow stationary. Density of water is 1000 kg/m 3 . Ans: 4.905×10 3 N/m 2 , 102.94 N 2. A 45 0 inclined nozzle is attached to a horizontal pipe. Water flows into the nozzle inlet at 3 m/s and leaves the nozzle exit into the atmosphere. The diameters of the nozzle inlet and outlet are 0.05 m and 0.025 m, respectively. The height difference between the nozzle outlet and inlet is 0.75 m. Determine the pressure at the nozzle inlet and the horizontal and vertical force components to hold the nozzle stationary. Assume frictionless flow and the weights of the nozzle and the water within the nozzle to be negligible. Density of water is 1000kg/m 3 . Ans: 74.858×10 3 N/m 2 , F h = 114.67 N, F v = 49.98 N
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3. A 10-mm diameter jet of water is deflected by a homogeneous rectangular block (15 mm by 200 mm by 100 mm) that weighs 6 N. Determine the minimum volume flowrate needed to tip the block. Ans: 2.66×10 -4 m 3 /s 4. A vertical, circular cross-sectional jet of air strikes a conical deflector. A vertical anchoring force of 0.1 N is required to hold the deflector in place. Determine the mass in kg of the deflector. The magnitude of velocity of the air remains constant. Ans: 0.108 kg
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MA3006 FLUID MECHANICS Tutorial 2 – Momentum and energy equations 1 A vertical jet of water leaves a nozzle at a speed of 10 m/s and a diameter of 20 mm. It suspends a plate having a mass of 1.5 kg. What is the vertical distance h?
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