19.1.2. Components of the Stress Tensor

Try these first

1. 1.

   What are the three types of stresses included in a stress tensor?

   Hint

   Think about how forces act on surfaces.

2. 2.

   How many total components does a stress tensor have?

   Hint

   Consider the dimensions involved in the stress tensor.

3. 3.

   How many components are there in a stress tensor?

   • 6
   • 9
   • 12

   Hint

   Look closely at the dimensions presented in stress analysis.

4. 4.

   True or False: Shear stress contributes to normal stress in a fluid.

   • True
   • False

   Hint

   Consider what each stress type represents.

5. 5.

   Given a triangle-shaped control volume submerged in a fluid, derive the equations for the forces acting on one of its faces using stress tensor components.

   Hint

   Focus on breaking the triangle into simpler sections for calculation.

6. 6.

   In a fluid mechanics system, how would ignoring viscous forces impact your design calculations? Provide a detailed analysis.

   Hint

   Think about real-world applications like piping systems experiencing variable flow conditions.