3.1. Frictionless and steady flow

Try these first

1. 1.

   Define Bernoulli's equation.

   Hint

   Think about the components pressure, elevation, and velocity in a fluid.

2. 2.

   What is meant by frictionless flow?

   Hint

   Consider energy losses due to friction.

3. 3.

   What does Bernoulli's equation relate?

   • Pressure
   • elevation
   • and velocity
   • Density and temperature
   • Mass and volume

   Hint

   Remember what happens to energy in fluid dynamics.

4. 4.

   Is frictionless flow a realistic scenario?

   • True
   • False

   Hint

   Think about real-world fluid interactions.

5. 5.

   Given a cylindrical water tank with a hole at the bottom, calculate how high the water must be filled for water to flow out at a specific velocity. Assume atmospheric pressure at the free surface.

   Hint

   Consider the elevation head as the difference in height from the hole to the free surface.

6. 6.

   A Pitot tube measures a pressure difference corresponding to a fluid velocity of 15 m/s. Calculate the pressure difference and explore how it can vary with airspeed.

   Hint

   Remember to factor in the specific weight of the fluid; for air, use the density at prevailing conditions.