Question

Water enters a turbine at 900 kpa with negligible velocity. what maximum speed, in m/s, can i reach before it enters the turbine rotor

Answer 1

45  is your answer.......

Answer 2

Given :

Water enters a turbine with

$P_{1$ = 900 kpa

$v_{1} = 0$

To find:

maximum speed of water before it enters the turbine rotor.

Solution:

Before entering into the rotor the water passes through a nozzle .

across thee nozzle Bernaulli's theorem and continuity equation is applicable.

Bernaulli's theorem is also known as the conservation of energy in fluids.

   $\frac{P_{1} }{pg} +\frac{v_{1} ^{2} }{2g} + Z_{1} = \frac{P_{2} }{pg} +\frac{v_{2} ^{2} }{2g} + Z_{2}$

water enters at same level hence $Z_{1} and { Z_2}$ are equal.

$P_{2}$ = 0

$\frac{v_{2} ^{2} }{2} = \frac{P_{1} - P_{2} }{p}$            (   p =1000$\frac{kg}{m^{3} }$    )

$v_{2} =$ 450 $\frac{m}{s}$

The velocity of water when it reaches the totor is eual to 450 metres per second.