Question

flow energy of 0.124 m3/min of a fluid crossing a boundary to

a system is 18 kW. Find the pressure at this point.

​

Answer 1

Explanation:

the ans is 8.71 MPs..........

Answer 2

Answer:

The pressure of the fluid at a given point is 8.73MPa.

Explanation:

Given that,

The flow rate of the fluid is $Q=0.124m^3/min=0.124m^3/60sec=2.06\times10^{-3}m^3/s$

And the flow energy/power of the fluid is $P=18kW$

We know that,

Power is the product of force and velocity. Therefore,

$P=Fv$

We also know that Force is the product of pressure and area.

Therefore,

$P=p.A.v=p.Q\\= > P=p.Q$

Where

p=Pressure

Q=Volume flow rate.

Substituting the given values in the above relation we get

$18\times10^3W=p(2.06\times10^{-3}m^3/s)\\= > p=\frac{18000}{2.06\times10^{-3}m^3/s} =8.73\times10^6Pa\\=8.73Mpa$

Therefore,

The pressure of the fluid at a given point is 8.73MPa.

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