Does Pressure Multiplied by Volume and Volumetric Flow Rate Equal Force?

[FADFAD1]

Does Pressure multiplied by volume multiplied by volumetric flow rate equal Force?

 

[berkeman]

Does Pressure multiplied by volume multiplied by volumetric flow rate equal Force?

Welcome to the PF.

What do the units work out as?

 

[FADFAD1]

Welcome to the PF.

What do the units work out as?

N/m² x m³ x m³/s so Nm⁴/s

 

[berkeman]

x m3

Can you describe each term? It looks like you have an extra m^3 in there...?

 

[FADFAD1]

the equation is pAdeltaL * dv/dt

so pressure times volume times change in length time volumetric flow rate

 

[jbriggs444]

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?

 

[boneh3ad]

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).