Power Loss or gain from a fluid flow

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SUMMARY

The discussion centers on calculating power loss or gain in fluid flow, specifically using the equation (volume flow) * (pressure difference). This formula is applicable for incompressible fluids and low velocities, but becomes complex for gases and compressible flows. Key factors such as temperature at both inlet and outlet, as well as fluid properties, must be evaluated to accurately determine energy changes. The conversation highlights the need for a deeper understanding of Thermodynamics and Fluid Flow theory for accurate calculations.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with Thermodynamics, particularly enthalpy
  • Knowledge of compressible vs. incompressible fluid behavior
  • Ability to interpret pressure and temperature measurements in fluid systems
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  • Study the principles of Thermodynamics related to fluid flow
  • Learn about the calculation of enthalpy changes in gases
  • Research the effects of compressibility on fluid dynamics
  • Explore the application of the Bernoulli equation in varying flow regimes
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Engineers, fluid mechanics students, and professionals involved in fluid flow analysis, particularly those working with pumps and compressible fluids.

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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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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