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Hydraulics - Engineering

Q1:

On a flow net diagram, the distance between two consecutive steam lines at two successive sections are 1 cm and 0.5 cm respectively. If the velocity at the first section is 1 m/sec, the velocity at the second is

A 1.0 m/sec

B 0.5 m/sec

C 2.0 m/sec

D 2.5 m/sec

E 3 m/sec

ANS:C - 2.0 m/sec

In a flow net diagram, the distance between consecutive streamlines represents the velocity gradient or velocity difference between those streamlines. According to the principles of flow net diagrams, the velocity difference is inversely proportional to the distance between the streamlines. Let's denote the velocity at the first section as V1​ and the velocity at the second section as V2​. According to the given information:

  • Distance between two consecutive streamlines at the first section = 1 cm
  • Distance between two consecutive streamlines at the second section = 0.5 cm
  • Velocity at the first section (V1​) = 1 m/s
Using the principle of flow net diagrams, we can set up a proportion: Distance1 / Distance2=Velocity2 /Velocity1​​ Plugging in the given values: 1 cm/0.5 cm =V2/1m/s​​ Solving for V2​: V2​=1m/s/0.5=2m/s Therefore, the velocity at the second section is 2m/s.