A river stream at upstream of a waterfall delivers the river water (p = 978 kg/m)...

 

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A river stream at upstream of a waterfall delivers the river water (p = 978 kg/m) into a water storage tank. Before the river stream entering the water storage tank, the river split into three main streams, only one of the river streams eventually entering the water storage tank. Fluid flow of the river stream is steady over time. Regrettably, due to aged tank material, there is a small hole in the water storage tank (diameter = 0.04 m), in which the water flows out. V = 25% V, D2 = 0.3 m Pgauge = 70 kPa V, =? D, = 0.1 m V, = 1.5 m/s O h, = 0.8 m D, = 0.8 m = 2.7 m V = 35% V2 D2 = 0.2 m Vs =? D; = 0.04 m (a) Calculate the volumetric flow rate at points 2, 3, and 4. [3 marks] (b) Calculate the average velocity at points 1, 2, 3, and 4. [4 marks) (c) Calculate the gauge pressure at point 6 and point 4. [3 marks) (d) Assume negligible frictional loss, calculate the velocity at point 5. [8 marks] (e) Calculate the volumetric flow rate of the water leakage. [2 marks] A river stream at upstream of a waterfall delivers the river water (p = 978 kg/m) into a water storage tank. Before the river stream entering the water storage tank, the river split into three main streams, only one of the river streams eventually entering the water storage tank. Fluid flow of the river stream is steady over time. Regrettably, due to aged tank material, there is a small hole in the water storage tank (diameter = 0.04 m), in which the water flows out. V = 25% V, D2 = 0.3 m Pgauge = 70 kPa V, =? D, = 0.1 m V, = 1.5 m/s O h, = 0.8 m D, = 0.8 m = 2.7 m V = 35% V2 D2 = 0.2 m Vs =? D; = 0.04 m (a) Calculate the volumetric flow rate at points 2, 3, and 4. [3 marks] (b) Calculate the average velocity at points 1, 2, 3, and 4. [4 marks) (c) Calculate the gauge pressure at point 6 and point 4. [3 marks) (d) Assume negligible frictional loss, calculate the velocity at point 5. [8 marks] (e) Calculate the volumetric flow rate of the water leakage. [2 marks]