For the center streamline, the velocity of the fluid is one-dimensional
u = ax + b
where a and b are constants.
Based on the experimental measurements, u is 10 m/s when x is zero (inlet)
while u is 50 m/s when x is 0.5 m (outlet). Hence, it can be determined
that the constants
a and b are 80 and 10, respectively. The velocity distribution is thus
u = (80x + 10) m/s
The acceleration of the fluid is given by (use the fact that v = w =
0 for 1-D flow):
The local accelerations of the fluid at the inlet and outlet are then
determined to be 800 m/s2 and 4,000 m/s2, respectively.