- Long Calculation Question 23 Marks Analysis Only A 180 Reducing Elbow Attached To A Horizontal Pipe Inlet Dia D1 1 (101.44 KiB) Viewed 20 times
- Long Calculation Question 23 Marks Analysis Only A 180 Reducing Elbow Attached To A Horizontal Pipe Inlet Dia D1 2 (100.2 KiB) Viewed 20 times
- Long Calculation Question 23 Marks Analysis Only A 180 Reducing Elbow Attached To A Horizontal Pipe Inlet Dia D1 3 (87.17 KiB) Viewed 20 times
LONG CALCULATION QUESTION (23 MARKS) ANALYSIS ONLY A 180 ° reducing elbow attached to a horizontal pipe (Inlet dia, D1, mm) is used to direct water flow. The diameter of elbow tapers gradually to an exit diameter of D2, mm as shown in the figure. Water is being freely discharged into the atmosphere through the elbow exit at rate of 'm(dot)', kg/s. The centre line of the exit elbow is situated at a height of, 'h', mm above from the centre line of the inlet. The mass of the elbow and the water in it can be taken as W, kg. Assume the density of water as 1000 kg/m3, Relevant Data: Diameter of inlet pipe (D1)= 200 mm Diameter of inlet pipe (D2)= 140 mm Mass flow rate 'm(dot)' = 30 kg/s h = 1300 mm W=50 kg D2, mm Reducing elbow
Complete the following on your answer sheet(s): (a) Write down three (3) valid assumptions. (3 MARKS) (b) Calculate the inlet and outlet velocities of the flow through the elbow. (4 MARKS) (c) Determine the gauge pressures at the centre of the inlet and outlet of the elbow. (4 MARKS) (d) Draw a clear sketch of the control volume to analyse this problem and indicate all forces. (5 MARKS) Note: Your drawing should be at least 100mm in height so that details can clearly be seen. (e) Calculate the 'x' component the force exerted on the elbow due to water flow. (4 MARKS) The 'x' component force FRx is N (f) Calculate the 'z' component of the force exerted on the elbow due to water flow. (3 MARKS) The 'z' component force Foz is
Diameter of inlet pipe (D1)= 200 mm Diameter of inlet pipe (D2)= 140 mm Mass flow rate 'm(dot)' = 30 kg/s h = 1300 mm W=50 kg 2 D2, mm Reducing elbow h, mm Ź W, kg Mass flow rate, n, kg/s 0 D1, mm Not to scale Complete the following on your answer sheet(s): (a) Write down three (3) valid assumptions. (3 MARKS) (b) Calculate the inlet and outlet velocities of the flow through the elbow. (4 MARKS) (c) Determine the gauge pressures at the cent of the inlet and outlet of the elbow. (4 MARKS (d) Draw a clear sketch of the control volume to analyse this problem and indicate all forces. (5 MARKS)