In: Math
Question # 5
a. Briefly explain how the Bernoulli equation is derived. Discuss
its application in oil / gas productions, including its limitation.
[4 marks]
b. The water level in a tank shown in Figure Q5b is 20 m above the
ground. A hose is connected to the bottom of the tank, and the
nozzle at the end of the hose is pointed straight up. The tank
cover is airtight, and the air pressure above the water surface is
4 atm gage. Assuming the system is at sea level, determine: [5
marks]
i. The maximum height to which the water stream could rise.
ii, If the water level in the tank was 15 m, would the maximum
water rise at the nozzle increase? Justify with calculation. (4
marks]
iii. If the gauge pressure increases to 5 atm for 20 m water level,
show the formula of finding water velocity at the nozzle
exit. [4 marks] 4 atm 20 m Figure Q5b