13.. Fluid Mechanics

Try these first

1. 1.

   What are the three basic dimensions used in dimensional analysis?

   Hint

   Think of fundamental physical quantities.

2. 2.

   Define dimensional homogeneity.

   Hint

   Consider what makes an equation valid.

3. 3.

   What does dimensional analysis allow us to do?

   • A) Simplify equations
   • B) Increase the number of experiments
   • C) Eliminate the need for data
   • D) None of the above

   Hint

   Think about its purpose in experiments.

4. 4.

   True or False: Dimensional homogeneity ensures different sides of an equation have different dimensions.

   • True
   • False

   Hint

   Recall the definition of dimensional homogeneity.

5. 5.

   You are tasked to analyze the drag force experienced by a sphere in a flowing liquid. Using Buckingham's Pi theorem, identify the dimensionless parameters involved and outline your experimental approach.

   Hint

   Consider the fundamental dimensions at play and how they influence the behavior of the fluid.

6. 6.

   Create a dimensional analysis for an equation describing the drag force acting on a flat plate submerged in a fluid. Discuss the impact of each variable on the drag force as per the analysis.

   Hint

   Think about how your choice of area might change with different orientations or conditions.