5.5.1. One Dimensional Flow

Try these first

1. 1.

   Define one-dimensional flow in your own words.

   Hint

   Think about how the fluid behaves in a straight pipe.

2. 2.

   Write down Bernoulli's equation.

   Hint

   Remember the three energy terms it relates together.

3. 3.

   What does Bernoulli's equation relate?

   • Pressure and time
   • Pressure
   • velocity
   • and height
   • Only velocity

   Hint

   Remember the components of energy in a fluid system.

4. 4.

   In one-dimensional flow, how do properties vary?

   • True
   • False

   Hint

   Consider how fluids behave in pipes or ducts.

5. 5.

   An open tank, 2 meters high, has a hole at 1 meter height where water flows out. If the water level drops to 1.5 meters, what is the velocity of the water exiting the hole? (Assume g = 9.81 m/s²)

   Hint

   Remember to use the height difference to calculate the exit velocity.

6. 6.

   A circular pipe narrows from a diameter of 1 meter to 0.5 meters. If the fluid velocity before the narrowing is 3 m/s, calculate the velocity in the narrower section.

   Hint

   Use the area and velocity relationship based on the conservation of mass.