use conservation of mass for 51 A twodimensional object is p

use conservation of mass for 5.1

A two-dimensional object is placed in a 4-ft-wide water tunnel as shown. The upstream velocity, v_1 is uniform across the cross section. For the downstream velocity profile as shown, find the value of v_2.

Solution

For four feet of river flow , speed = 20 fps , if you block 50% I.e 2 feet.

Momentum is conversed always

Therefore, velocity = 2/4*20 = 10fps