Can you calculate liquid mass flow based on inlet and outlet pressure?

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Discussion Overview

The discussion revolves around calculating the mass flow of a liquid in a pipe system based on inlet and outlet pressures, particularly in the context of a valve affecting flow. Participants explore the relationship between pressure differences and mass flow rates, seeking relevant equations and clarifications.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant inquires about calculating outlet mass flow given inlet mass flow, pipe volume, and pressure conditions.
  • Another participant asserts that in steady flow, the mass flow entering equals the mass flow exiting, unless there are additional factors.
  • A different participant emphasizes the importance of pressure differences due to a valve and seeks equations that relate outlet mass flow to these pressure changes.
  • Further elaboration is provided regarding the changing pressures over time and the need for a physical equation to calculate outlet mass flow based on these variations.
  • One participant mentions the mass balance equation and questions whether mass is being generated, accumulated, or consumed, suggesting that more information is needed to apply it correctly.
  • Another participant suggests using Bernoulli's equation while accounting for frictional pressure drops to find mass flow rates under varying pressures.
  • A participant describes their attempt to implement a MATLAB block for calculating fuel mass flow, noting the influence of pump actuation and valve conditions on pressure and flow rates.
  • Another participant questions the method of determining the pump flow value and whether the pump's flow rate changes with discharge pressure.

Areas of Agreement / Disagreement

Participants generally agree on the principle that mass flow entering should equal mass flow exiting under steady conditions. However, there is disagreement and uncertainty regarding the effects of pressure changes and the specific equations applicable to the scenario, indicating that the discussion remains unresolved.

Contextual Notes

Participants have not provided specific definitions for terms like "generation," "accumulation," or "consumption" of mass, which may affect the application of mass balance equations. Additionally, the relationship between pressure changes and mass flow rates is not fully established, leaving open questions about the conditions under which these relationships hold.

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Hello,

Can anyone answer me how to caluculate the massflow of the liquid.

I know the inlet mass flow , volume of the pipe , and the inlet pressure and outlet pressure of the pipe.

Do we have any equation to caluculate the outletmass flow with respect to differential pressure?

Can anyone help me on this.
 
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In steady flow and assuming no addition or loss of fluid in transit the mass flow leaving is the same as the mass flow entering .
 
HI ,

But there is a pressure difference in between inlet and outlet because there is valve in between the flow. So de have any equation to calculate the outlet massflow with respect to pressure difference.
 
I can explain the problem little more elaborative.

For a pipe of volume V inlet mass flow is M1. Inlet pressure is P1 and the outlet pressure is P2. P1 and P2 are changing over the time based on other actuation . Can we calculate the outlet mass flow M2 with respect to change in pressure.

Do we have any physical equation? Can anyone help here?
 
No problem with flow equations but I am having difficulty understanding the problem .

There is no getting past the fact that what goes in must come out .

Please explain a little more .
 
A mass balance tells us:
Input + generation = output + accumulation + consumption
It's not clear if you are generating, accumulating or consuming mass.
If none of these then, as Nidium said, it's simply M1 = M2. Clearly you need to provide more information.

If you want to find mass flow rate for a given P2 and P1 (where M1 isn't fixed as you've implied...) then Bernoulli's equation will work. Account for pressure drop due to friction for better results.
 
Thanks Nidum and billy joule

With my basic knowledge on physics i can explain the problem little more.

i am trying to implement a MATLAB block to calculate fuel mass flow. As i shown in snapshot attached., There is a pump and based on the pump actuation I have the massflow rate (g/s) M1. I know the pressure after the pump P1. In the same fuel path there is a valve placed . Based on the valve actuation and other valves in the same path there is a change in pressure . I understood that if there is a change in pressure then there is a massflow in the path. If the pressure is same then the mass flow rate is zero. In this case i know the pressure after the valve and i want to calculate the mass flow rate after the valve based on the pressure difference with physical equation.

Please correct if my understanding is not correct.
Massflowrate.png
 
How do you know the pump flow value? What kind of pump is it? Does its flow rate change as the discharge pressure changes?
 

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