Finding flow rate with limited knowns

Click For Summary

Discussion Overview

The discussion revolves around determining the flow rate of a diaphragm pump through a length of pipe, given certain known parameters such as the pump's maximum pressure, pipe details, and fluid characteristics. Participants explore whether flow rate can be calculated without knowing the velocity and discuss relevant equations and factors affecting flow rate.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • IC questions if flow rate can be determined without knowing the velocity, given the pump's max pressure and other details.
  • One participant asks for the pump's RPM and cubic inches per revolution to assist in the calculation.
  • IC clarifies that the pump is pneumatically powered and notes that the cycle rate varies with the viscosity of the media being pumped.
  • IC proposes using Poiseuille's Law to calculate flow rate, providing specific values for pressure change, radius, viscosity, and length, and arrives at an estimated flow rate of 16 gpm.
  • Another participant suggests that the calculated flow rate seems reasonable and mentions the existence of pump curves and flow calculators that could provide additional insights.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether flow rate can be calculated without knowing velocity. There are differing views on the applicability of Poiseuille's Law and the adequacy of the calculated flow rate.

Contextual Notes

Assumptions regarding the applicability of Poiseuille's Law may not fully account for the complexities of the pump's operation and the fluid's viscosity under varying conditions. The discussion does not resolve the potential limitations of the proposed calculations.

InsideCenter
Messages
3
Reaction score
0
Hello all,

My basic problem is I'm trying to figure out what flow rate a diaphragm pump can provide through a length of pipe. I know the pump's max pressure and all the details of the pipe and the fluid (80w-90 gear oil), but can I solve this without knowing the velocity? Is there a way to solve the velocity through these (or other easily obtained) knowns?

Thanks,
IC
 
Engineering news on Phys.org
yes, what is the rpm and cubic inches/rev of the pump?
 
It's a pneumatically powered diaphragm pump, not a gear pump. The cycle rate is not constant as it depends on the media being pumped. The more viscous the media, the slower the cycle time.

Is there not a way to calculate flow rate without velocity?
 
Alright, I've think I'm on the right track with Poiseuille's Law. Q=[(p1-p2)(radius^4)]/[(8/pi)(viscosity)(length)]

Change in pressure is 125psi
radius is 0.5 inches
viscosity is 1.4 poise (80w90 at 40 degrees C)
length is 200 ft.

I'm getting in the area of 16gpm. I expected much less. Can anyone double-check this??
 
That's about 1hp, sounds about right, not sure of the formula, plenty of pipe flow calculators out there but most of the time manufacturers have a pump curve for different viscosity's.
 

Similar threads

  • · Replies 38 ·
2
Replies
38
Views
4K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 11 ·
Replies
11
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
5
Views
4K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
0
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K