Calculate Flow Rate for Reynold's Number Homework

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    Reynold's number
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SUMMARY

The discussion centers on calculating the flow rate of a fluid with a relative density of σ=0.7 and kinematic viscosity of ν=0.6 mm²/s in a 2m long copper pipe with a diameter of 3mm. The pump creates a head difference of 0.5m, and the Reynolds number and friction factor were determined from a small pipe experiment. The relationship between Reynolds number and flow rate is established using the equations hf=f * L/D * v²/2g and f = 16/Re, with the note that for laminar flow (Re < 2000), the Darcy friction factor applies.

PREREQUISITES
  • Understanding of Reynolds number calculation
  • Knowledge of fluid dynamics principles
  • Familiarity with Darcy and Fanning friction factors
  • Basic proficiency in applying fluid flow equations
NEXT STEPS
  • Study the derivation and application of the Reynolds number in fluid mechanics
  • Learn about the Darcy-Weisbach equation for head loss in pipes
  • Explore the differences between Darcy and Fanning friction factors
  • Investigate methods for measuring flow rate in piping systems
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Students in engineering disciplines, particularly those focusing on fluid mechanics, as well as professionals involved in designing and analyzing cooling systems in electrical equipment.

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Homework Statement


A fluid with relative density σ=0.7 and kinematic viscosity \nu=0.6mm2/s is used as a cooling agent in an electrical
equipment cooling system. The fluid circulates in a 2m long copper pipe of 3mm in diameter. A pump is used to
create a head difference of 0.5m between entry and exit of the system. Use results of your small pipe experiment to
calculate coolant flow rate through the system. Justify application of your results to this problem.

From the small pipe experiment I was able to find Reynold's number and the friction factor.

Homework Equations


hf=f * L/D * v2/2g
f = 16/Re
Re= Q * d / \nu * (d2*pi/4)


The Attempt at a Solution


From the small pipe experiment I was able to find Reynold's number and the friction factor. However, since the pipe from the actual problem is not sure I am not sure how Reynold's number will correlate between the two pipes to help find the flow rate.

Hopefully this was clear.
 
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If the flow remains laminar (Re < 2000), then your fD = 64 / Re relation will still apply. I used the Darcy friction factor; I believe the 16 / Re is the Fanning friction factor.
 

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