Fluid Mechanics
Flow Through Pipes
GATE 2015
Medium
Two liquids flow in equal-diameter pipes: pipe 1 laminar (centerline velocity Vmax,1), pipe 2 turbulent (average velocity=0.82×Vmax,2). For equal volumetric flow rates, Vmax,1/Vmax,2, rounded to 2 decimal places, is
1.64(± 0.05 accepted)
Explanation
Vavg,1=0.5Vmax,1 (parabolic laminar profile). Equal Vavg (same flow rate, same area): 0.5Vmax,1=0.82Vmax,2 ⟹ Vmax,1/Vmax,2=1.64.
Source: GATE CH 2015 (2015)
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