For smooth pipes, the friction factor in laminar flow is given by
- Af = 64/ReCorrect
- Bf = 16/Re
- Cf = 0.079 Re0.25
- DNone of the above
Solution
Concept
Laminar Flow Friction Factor
Formula
f = 64 / Re
Step-by-step solution
Identify the flow as laminar and apply the standard Darcy-Weisbach friction factor formula f = 64/Re.
Explanation
In fully developed laminar flow through a pipe, the friction factor depends only on the Reynolds number and is inversely proportional to it, defined by the Darcy-Weisbach friction factor formula f = 64/Re.
Shortcut
Remember the number 64 for Darcy friction factor in laminar pipe flow (f = 64/Re), or think of "64" as 8 x 8, while 16/Re is the Fanning friction coefficient.
Common mistake
Many students confuse the Darcy-Weisbach friction factor (f = 64/Re) with the Fanning friction coefficient (f' = 16/Re) and mistakenly select Option B.
Correct answer: A) f = 64/Re