3.1. References

Try these first

1. 1.

   Define average velocity in your own words.

   Hint

   Think of how speed is averaged over a distance.

2. 2.

   Explain frictional velocity in turbulent flows.

   Hint

   Consider what happens when fluids encounter resistance.

3. 3.

   What is the primary equation for smooth pipe flow?

   • $u - V_{average} = 5.75 \\log_{10}(u_{star} \\frac{y}{\\nu}) + 3.75$
   • $V_{average} = \\frac{u}{n}$
   • None of the above

   Hint

   Recall the relationship that involves logarithmic functions.

4. 4.

   True or False: The power law can calculate wall shear stress accurately.

   • True
   • False

   Hint

   Think about how velocity behaves at fluid boundaries.

5. 5.

   Given a velocity profile of $u(r) = u_{max}(1 - (r/R)^{1/7})$, derive an expression for average velocity V_average.

   Hint

   Focus on breaking the integral to manage the calculation.

6. 6.

   Discuss the significance of maintaining consistent equations for both smooth and rough pipes.

   Hint

   Think in terms of flow behavior and expected patterns in different environments.