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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batolisis batolisis · Answer 1 · 2021-04-02T23:05:01+02:00

Answer:

Hello your question is incomplete attached below is the complete question

answer :

U/r = R = [tex]U_{max}[/tex] [ 1 - [tex](\frac{R}{R} )^2[/tex] ] = 0

∴ No slip condition is satisfied

Explanation:

Given that

Outlet velocity U(r) = [tex]U_{max}[/tex] [ 1 - [tex](\frac{r}{R} )^2[/tex] ]

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 = [tex]U_{max}[/tex] [ 1 - [tex](\frac{R}{R} )^2[/tex] ] = 0

∴ No slip condition is satisfied