Optimizing Pumping System Formulas for Efficient Fluid Dynamics

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Discussion Overview

The discussion centers around optimizing formulas for calculating pressure in a fluid dynamics context, specifically related to a pumping system involving two chambers and varying pipe radius. Participants explore the necessary equations and data required for understanding pressure dynamics in a system where liquid is pumped and drained at constant rates.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • Starripper seeks assistance in determining the pressure required to maintain liquid levels in a system with two chambers and a varying pipe radius.
  • One participant suggests that Starripper is likely looking for the pressure drop through a pipe, potentially involving bends, and mentions the D'Arcy-Weisbach equation as a relevant formula.
  • Another participant points out that Bernoulli's equation is fundamental to fluid flow analysis and could be applicable to the problem at hand.
  • Starripper clarifies the need to calculate the pressure released by a hand pump to maintain liquid levels in a straight pipe connecting the chambers.
  • One participant emphasizes the importance of knowing the properties of the liquid being pumped for accurate calculations.
  • A later reply suggests checking the Bernoulli formula as a potential resource for Starripper's calculations.

Areas of Agreement / Disagreement

Participants express various approaches to the problem, with some focusing on specific equations like D'Arcy-Weisbach and Bernoulli's, while others highlight the need for liquid properties. There is no consensus on a single method or formula to apply, indicating multiple competing views remain.

Contextual Notes

Participants mention the need for additional data related to liquid properties and specific system configurations, but do not resolve the implications of these requirements on the calculations.

starripper
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I am working on a project that requires the changing of the radius of a pipe then finding the pressure of this pipe. There are two chambers C1 and C2 the liquide with x density is pumped into C2 using a piston pump. The liqude in C2 drains back to C1 at a constant rate of a. The radius of the pipe from the pump to C2 is r. t is the amount of time that the level f is maintained. f is a constant.

Also please let me know what data would need to be found if this is not enough so that i can find a means to get this data as well.

The formulas are the main thing holding this project back I want to know the design works. If anyone can help me this is my first time working with fluid dynamics.

Thanks,
Starripper
 
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Hi Star. I think you're trying to find pressure drop through a pipe connecting two chambers. The pipe is bent, perhaps in a horseshoe shape or something. And you have a flow rate, a. Is that right?

Pressure drop is calculated using the D'Arcy-Weisbach equation, which you can find information about here:
http://www.engineeringtoolbox.com/darcy-weisbach-equation-d_646.html
If you want to know how to calculate the equivalent length of pipe for some oddball bend, that's covered by the Crane Technical Paper #410 which you can purchase online here:
http://www.tp410.com/
 
Bernoullis equation is the basic fluid flow equation is it not. You can do a lot with that.
 
Thanks for the help. The thing I am trying to figure out is really the amount of pressure needed to send a liquide through a straight pipe. Also I will have a straigh pipe that connects the pumping chamber with another chamber the chamber drains at a constant rate the pump is a hand pump so I need to figure out what the pressure being released by the pump to maintian the level of the liquide in the chamber.
data i have:
r = radius of pipe
l = liquide level
L = length of pipe
t = time maintained
h = number of times the person pumped

Thanks,
Star
 
You definitely need the liquids properties.
 
Check for Bernouill formula,

Regards,
 

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