Question
Download Solution PDFIn a circular tube of diameter 100 mm and length 15 m with laminar flow, the Darcy friction factor is estimated to be 0.05. Calculate the Reynolds number.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The Darcy friction factor for laminar flow in a circular pipe can be related to the Reynolds number by the following relationship:
\(f = \frac{64}{Re}\)
where:
- \(f\) is the Darcy friction factor.
- \(Re\) is the Reynolds number.
For laminar flow, the Reynolds number can be calculated using the formula:
\(Re = \frac{64}{f}\)
Calculation:
Given:
- Diameter of the tube, \(D = 100 \, \text{mm} = 0.1 \, \text{m}\)
- Length of the tube, \(L = 15 \, \text{m}\)
- Darcy friction factor, \(f = 0.05\)
Using the relationship between the Darcy friction factor and the Reynolds number:
\(Re = \frac{64}{f}\)
Substitute the given value of the Darcy friction factor:
\(Re = \frac{64}{0.05} = 1280\)
Therefore, the Reynolds number is 1280.
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