Using Karman’s relation show that the universal velocity distribution in a fully developed channel flow is given by where, 2h is the height of the channel, y is the distance measured from the centre...

Using Karman’s relation
show that the universal velocity distribution in a fully developed channel flow is given by

where, 2h is the height of the channel, y is the distance measured from the centre line of the channel and
empirical constant. The pressure gradient in flow direction is (dp/dx).