Flow rate of a pipe - calculation

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Homework Help Overview

The discussion revolves around calculating the flow rate of a pipe, specifically focusing on the relationship between flow rate, velocity, and cross-sectional area. Participants are exploring the relevant equations and concepts in fluid dynamics.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the applicability of a given formula to the problem and discussing the correct relationship between flow rate, velocity, and area. There is confusion regarding the definitions of flow and flow rate, as well as the units involved.

Discussion Status

The discussion is active, with participants providing insights and clarifications about the equations needed for the problem. Some have suggested writing out equations and checking units, while others are exploring the differences in terminology related to flow and flow rate.

Contextual Notes

There is mention of confusion regarding the requirements of the problem, particularly about finding the flow rate versus average speed. Participants are also considering the implications of using different measurement systems, such as metric versus US customary units.

AnneX
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Homework Statement
It is not an assignment but a problem I came across while studying for a quiz
Relevant Equations
See below, I inserted it, not sure if it applies to this problem though
81FB4876-899D-47B6-83DF-0A482683B012.jpeg


So, I actually do not know, if the formula given applies to this problem or not, so I wanted to check
 
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That formula looks like it is relating the flow rate to the pressure loss; you don't need that for the given problem. Can you write an equation relating flow rate, velocity, and area? That's all you need to do here.

I think that's what you are doing in the last two lines but you should write out the equation.
 
So, average speed equals volumetric flow rate times area? Just a bit confused, coz it was stated, that I have to find the flow rate
 
The answer choices are in m/s.
 
AnneX said:
So, average speed equals volumetric flow rate times area?
No, if you write this out showing the units (m^3/sec and m^2) you will see it cannot be, but maybe you can figure out the right equation.
 
AnneX said:
So, average speed equals volumetric flow rate times area? Just a bit confused, coz it was stated, that I have to find the flow rate
Velocity is directly proportional to the volume per unit of time that flows inside the pipe.
The bigger the cross area of the pipe, the slower the flow.
Be careful with the conversion of units.
 
4457D99C-3A28-4DE2-9AC6-8B85BFE69F9E.jpeg

So, I guess that is the equation I was looking for?
 
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What is the difference between flow and flow rate?
 
  • #10
In US English they are used interchangeably, though I think "flowrate" is more correct. If you are translating from another language be careful (I see how you write your "ones" :wink: )

"Volumetric flowrate" is even better. It distinguishes from "mass flowrate" which could be kg/sec, or pounds per hour, or any other MASS/TIME depending on convention for the application.
 
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  • #11
Thanks, and yeah the one is just a straight line in the U.S. - right? But the fact that I am using the metric system also kind of gives it away, so ;)
 
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