14.1.7. Weber Number

Try these first

1. 1.

   Define the Weber Number.

   Hint

   Think about what two forces it compares.

2. 2.

   What does a higher Weber Number signify?

   Hint

   Consider what happens when inertial forces become stronger.

3. 3.

   What does the Weber Number compare?

   • Inertial forces to viscous forces
   • Inertial forces to surface tension forces
   • Viscous forces to gravity forces

   Hint

   Consider which forces dominate in fluid motion.

4. 4.

   T/F: A higher Weber Number indicates that surface tension forces are more significant than inertial forces.

   • True
   • False

   Hint

   Think about what each term means in the context of the Weber Number.

5. 5.

   A liquid has a surface tension of 0.071 N/m, flows with a velocity of 2 m/s, has a density of 800 kg/m³, and a characteristic length of 0.05 m. Calculate the Weber Number and analyze its implications for droplet formation.

   Hint

   Use the formula correctly and reflect on the fluid dynamics principles involved.

6. 6.

   Describe how varying the surface tension of a liquid would affect the Weber Number and the behavior of a spray application.

   Hint

   Consider how the forces interact when surface tension is altered.