Does Pressure multiplied by volume multiplied by volumetric flow rate equal Force?
Welcome to the PF.
What do the units work out as?
N/m2 x m3 x m3/s so Nm4/s
Can you describe each term? It looks like you have an extra m^3 in there...?
the equation is pAdeltaL * dv/dt
so pressure times volume times change in length time volumetric flow rate
The equation has pressure p.
Incremental length delta L
Incremental volume dv/dt
Are you not double-dipping? You have both area times incremental length and incremental volume?
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).
Separate names with a comma.