Calculate Flow Rate for Reynold's Number Homework

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    Reynold's number
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To calculate the flow rate of a fluid with a relative density of 0.7 and kinematic viscosity of 0.6 mm²/s in a 2m long copper pipe with a diameter of 3mm, a head difference of 0.5m is created by a pump. The Reynolds number and friction factor were determined from a small pipe experiment, but there is uncertainty about their applicability to the current pipe system. If the flow remains laminar (Re < 2000), the relation fD = 64/Re can be used for calculations. The Darcy friction factor was applied, although the Fanning friction factor (16/Re) was also mentioned. Understanding the correlation between the two pipe systems is crucial for accurately determining the flow rate.
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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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