In a laminar flow through a circular pipe of diameter 20 cm, the maximum velocity is found to be 2 m/s. The velocity at a radial distance of 5 cm from the axis of the pipe will be
- A0.50 m/s
- B0.75 m/s
- C1.25 m/s
- D1.50 m/sCorrect
Solution
Concept
Parabolic velocity profile
Formula
u = umax (1 − r²/R²)
Step-by-step solution
1. R = 10 cm, r = 5 cm. 2. u = 2 (1 − 25/100) = 1.5 m/s.
Explanation
R = 10 cm, r = 5 cm.
Shortcut
u = umax(1 − r²/R²).
Correct answer: D) 1.50 m/s