13.1.3. Basic Dimensions

Try these first

1. 1.

   What is the basic dimension for time?

   Hint

   It's one of the three fundamental dimensions.

2. 2.

   Define dynamic viscosity.

   Hint

   Think of how jam behaves compared to water.

3. 3.

   What are the three basic dimensions in fluid mechanics?

   • Mass
   • Velocity
   • Density
   • Mass
   • Length
   • Time
   • Force
   • Pressure
   • Volume

   Hint

   Think about the core measurements we rely on in physics.

4. 4.

   Is dimensional homogeneity important in engineering equations?

   • True
   • False

   Hint

   Consider what happens if dimensions on both sides of an equation don't match.

5. 5.

   You are tasked with designing an experiment to analyze the drag force on a sphere in two different fluids: oil and water. How would you go about selecting your variables and constructing dimensionless groups for this experiment?

   Hint

   Recall the relevant variables and how to apply Buckingham's theorem to simplify your experimental design.

6. 6.

   Describe the process of using dimensional analysis to estimate the time it takes for a viscous fluid to flow through a pipe of known diameter and length. What dimensionless groups might be useful here?

   Hint

   Consider how different fluid characteristics interact with the geometric properties of the pipe.