In a flat channel with rough walls, away from the immediate vicinity of the walls, the velocity profile conforms to
where y is the distance from the wall and the distance between the walls is equal to 2b.
(a) Find an expression for the eddy diffusivity distribution in the channel.
(b) Repeat part (a), this time assuming that the channel is circular and the velocity profile away from the immediate vicinity of the wall conforms to
where R is the pipe radius.
(c) Why is the immediate vicinity of the wall excluded from the previous velocity profiles?
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