Water is flowing steadily through a 3-m long, 20 mm innerdiameter cast iron pipe. The water enters at a uniform velocity U and exits with a velocity profile that is a function of radial position within the pipe, U (r ). The inlet flow velocity U is 5 m/s and the outlet flow velocity is

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answer :

U/r = R  = [ 1 - ] = 0

∴ No slip condition is satisfied

Explanation:

Given that

Outlet velocity  U(r)  = [ 1 - ]

prove that the output velocity profile satisfies the no slip condition

at no slip u = 0 ( i.e. at the pipe's inner surface )

at , r = R  ( inference  is at center )

hence  U/r = R  = [ 1 - ] = 0

∴ No slip condition is satisfied