Volumetric flow rate and Force

In summary, the conversation is discussing the relationship between pressure, volume, volumetric flow rate, and force. The equation being discussed is pAdeltaL * dv/dt, which includes pressure, area, incremental length, and incremental volume. However, it is suggested that this equation may be combining too many physical effects and should be separated into pressure effects and momentum change effects.
  • #1
FADFAD1
Does Pressure multiplied by volume multiplied by volumetric flow rate equal Force?
 
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  • #2
FADFAD1 said:
Does Pressure multiplied by volume multiplied by volumetric flow rate equal Force?
Welcome to the PF. :smile:

What do the units work out as?
 
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Likes davidoshea019 and russ_watters
  • #3
berkeman said:
Welcome to the PF. :smile:

What do the units work out as?
N/m2 x m3 x m3/s so Nm4/s
 
  • #4
FADFAD1 said:
x m3
Can you describe each term? It looks like you have an extra m^3 in there...?
 
  • #5
the equation is pAdeltaL * dv/dt

so pressure times volume times change in length time volumetric flow rate
 
  • #6
FADFAD1 said:
the equation is pAdeltaL * dv/dt

so pressure times volume times change in length time volumetric flow rate
The equation has pressure p.
Area A
Incremental length delta L
Incremental volume dv/dt

Are you not double-dipping? You have both area times incremental length and incremental volume?
 
  • #7
In terms of a flowing fluid, there are multiple terms that contribute to force. One of them happens to be from pressure and looks like ##pA## (or rather ##\int p\;dA##). Your term has a bunch of extra stuff in it. My suspicion is that you are trying to combine too many physical effects into a single term rather than separating their contributions. Specifically, pressure effects and momentum change effects must be treated separately (though there are relationships between some of those variables).
 

Related to Volumetric flow rate and Force

1. What is volumetric flow rate?

Volumetric flow rate is the measure of the volume of fluid that flows through a specific area in a given amount of time. It is typically measured in units of cubic meters per second (m3/s) in the SI system.

2. How is volumetric flow rate different from mass flow rate?

Volumetric flow rate measures the volume of fluid, while mass flow rate measures the mass of fluid passing through a specific area in a given amount of time. The relationship between the two is dependent on the density of the fluid.

3. How is volumetric flow rate calculated?

Volumetric flow rate is calculated by dividing the volume of fluid passing through a specific area by the time it takes for the fluid to pass through that area. The formula for volumetric flow rate is Q = V/t, where Q is the flow rate, V is the volume, and t is the time.

4. What is the relationship between volumetric flow rate and velocity?

Volumetric flow rate is directly proportional to the velocity of the fluid. This means that as the velocity of the fluid increases, the volumetric flow rate also increases. The formula for this relationship is Q = Av, where Q is the flow rate, A is the cross-sectional area of the flow, and v is the velocity of the fluid.

5. What is the role of force in fluid flow?

Force is an important factor in fluid flow as it is responsible for causing the movement of the fluid. The force applied to a fluid can be in the form of pressure, gravity, or external forces such as pumps or fans. Without force, there would be no flow of fluid.

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