Power Loss or gain from a fluid flow

AI Thread Summary
Calculating power loss or gain in fluid flow requires understanding both the mass flow and pressure differences, but the approach varies for incompressible versus compressible fluids. For incompressible fluids, the formula (volume flow)*(pressure difference) can be applied, while compressible fluids necessitate more complex calculations involving temperature and enthalpy changes. Accurate energy change assessments require evaluating fluid properties at both inlet and outlet, particularly when dealing with gases or phase transitions. In scenarios like flow through a venturi device, using mass flow and enthalpy change is appropriate, but temperature data is crucial for precise calculations. Without temperature information, alternative methods using pressure data may be limited in effectiveness.
99percent
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Hi guys,

I have quick question about calculating the power lost in fluid flow.

So imagine there is a simple setup as in the attached image, where you know the mass flow in and out, pressures at inlet and outlet and the temperature at the inlet.

Is the equation to find the power lost or gained by the flow just (volume flow)*(pressure difference)?

I know that you can use this to calculate the power required for a pump using liquids, does this also work for gases?

Thanks!
 

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Simple formula only works with incompressible fluids and low velocities .

Even if doing only simple tests or calculations then at least two properties of fluid really need to be evaluated at inlet and outlet to get energy change .

As flow regime gets more complex and compressiblity and temperature changes become more relevant then more complex calculations are nescessary .

Some fluids like vapours which might go through phase transition are even more complicated to test or analyse .

All covered in Thermodynamics and Fluid Flow theory but you'll have to study that .
 
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Likes 99percent and billy_joule
Thanks very much for your answer and explanation!

Edit: What equation would be best to use? Would I also need to know the temperature at both the inlet and the outlet to get energy change for compressible flow?
 
Last edited:
99percent said:
Thanks very much for your answer and explanation!

Edit: What equation would be best to use? Would I also need to know the temperature at both the inlet and the outlet to get energy change for compressible flow?

Depends on what type of flow you are actually trying to monitor . Give me a specific example and I'll get back to you .
 
Nidum said:
Depends on what type of flow you are actually trying to monitor . Give me a specific example and I'll get back to you .

I am basically looking at a flow before and after a venturi like device, however the inlet and outlet diameters are different.

Could I just use the mass flow* (enthalpy change)to get the power? where the enthalpy is cp*T?

If I don't have the temperatures, is there a way of just working it out using the pressures?
 
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