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Question

Water flows at a speed of 6 cm s1 through a tube of radius 1 cm. Coefficient of viscosity of water at room temperature is 0.01 poise. Calculate the Reynolds number. Is it a steady flow?


Solution

Given:
Speed of water, v = 6 cm/s = 6 × 10−2 m/s
Radius of tube, r = 1 cm = 10−2 m
Diameter of tube, D = 2 × 10−2 m
Coefficient of viscosity, η = 0.01 poise

Let the Reynolds number be R and the density of water be ρ.

R=vpDη        =6×10-3×103×2×10-210-2        =120

Here, the Reynolds number is less than 2000. Therefore, it is a steady flow.

Physics
HC Verma - I
Standard XI

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