Question

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

Answer 1

Hello your question is incomplete attached below is the complete question

answer :

U/r = R =
`U_(max)` [ 1 -
`((R)/(R) )^2` ] = 0

∴ No slip condition is satisfied

Step-by-step explanation:

Given that

Outlet velocity U(r) =
`U_(max)` [ 1 -
`((r)/(R) )^2` ]

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 =
`U_(max)` [ 1 -
`((R)/(R) )^2` ] = 0

∴ No slip condition is satisfied