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FLUID MECHANICS - CASE STUDY SOLUTION


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.

     
   
 
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