Problem Description

Velocity Distribution

Acceleration Distribution

For the center streamline, the velocity of the fluid is one-dimensional and linear:

     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 given by

     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.