Question
Download Solution PDFFor a fully–developed flow of water in a pipe having a diameter 10 cm, velocity 0.2 m/s, and kinetic viscosity 10-5 m2/s, what is the value of the Darcy friction factor?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Darcy friction factor is define as,
\({\rm{f}} = \frac{{64}}{{{\rm{Re}}}}{\rm{\;where}},{\rm{\;Re}} = {\rm{Raynolds\;no}}.{\rm{\;}}\)
\({\rm{\;Re}} = \frac{{{\rm{\rho VD}}}}{{\rm{\mu }}} = \frac{{{\rm{VD}}}}{{\rm{\nu }}}\)
where, ρ = density of fluid, V = velocity of fluid, D = Diameter of pipe,
v = kinematic viscosity
If Re > 4000 then the flow become turbulent flow
If Re < 2000 then the flow become laminar flow
Calculation:
Given: D = 10 cm = 0.1 m, v = 0.2 m/s, v = 10-5 m2/s
\({\rm{Re}} = \frac{{0.1 × 0.2}}{{{{10}^{ - 5}}}} = 2000{\rm{\;}}\)
Therefore, it is laminar flow
\({\rm{f}} = \frac{{64}}{{2000}} = 0.032\)
For plate,
If Re > \(5 \times {10^5}\) then the flow become turbulent flow
If Re < \(5 \times {10^5}\) then the flow become laminar flow
Last updated on May 28, 2025
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