Help please Consider the water supplying system shown at right. Water at 20 Deg.

Question

Help please

Consider the water supplying system shown at right. Water at 20 Deg. C. is contained in a large tank and discharged through a 20 m pipe of 2 cm in diameter. The pipe is inclined downward at an angel of 60degree so that the end of the pipe is below the bottom of the tank and the water level in the tank is 10 m above the outlet point from the tank as shown. The outlet pipe is made of copper and can be assumed to be hydraulically "smooth". Calculate the average velocity at the outlet of the pipe (point 2) assuming that there are no losses anywhere and one can assume that the diameter of the tank is large compared to the diameter of the pipe. Repeat the above calculation but now assume that the diameter of the tank is not large and it is only 1 m in diameter. What is the velocity at the surface of the tank Calculate the velocity at point 2 if there are frictional losses in the pipe (but neglect all other losses including losses at the entrance from the tank to the pipe). Assume the tank to be large. To increase the flow rate of the water from the tank, a pump is mounted immediately at the outlet of the tank. It is desired to pump the water at a velocity of 10 m/sec. Calculate the power required in the pump in Kw assuming that there are losses In the pipe (but no other losses just as in question 3).

Explanation / Answer

1) applying bernoulis equation and neglecting the velocity of water in the tank (since it has large diameter)

then V=(2*g*(h+l*cos 60))^0.5 = (2*10*20)^0.5 = 20m/s.

2) Here A1*V1 = A2*V2 , where V1 and A1 are velocity and area at top of tank and V2 and A2 are velocity and area at outlet.

==) V2 = V1*2500

now apply bernoulis equation and find V1.

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