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Q#1 GATE CH 2016 NAT +2 marks -0 marks

Water flows through a smooth circular pipe under turbulent conditions. In the viscous sub-layer, the velocity varies linearly with the distance from the wall. The Fanning friction factor is defined as where TW is the shear stress at the wall of the pipe, p is the density of the fluid and  is the average velocity in the pipe. Water (density = 1000 kg m‒3

, viscosity = 1x10‒3 kg m‒1 s‒1) flows at an average velocity of 1 m s‒1 through the pipe. For this flow condition, the friction factor f is 0.005. At a distance of 0.05 mm from the wall of the pipe (in the viscous sub-layer), the velocity (in m s‒1, rounded off to the third decimal place), is _______

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