7.4.1. Properties of Stress Tensor

Try these first

1. 1.

   What does the stress tensor represent?

   Hint

   Think about how fluids exert forces internally.

2. 2.

   Define a Newtonian fluid.

   Hint

   Remember the relationship between stress and strain rate.

3. 3.

   What does the stress tensor describe in fluid mechanics?

   • Pressure only
   • Internal forces within the fluid
   • Gravity effects on the fluid

   Hint

   Think about what forces are internal to a fluid system.

4. 4.

   True or False: Non-Newtonian fluids maintain a constant viscosity.

   • True
   • False

   Hint

   Consider how these fluids respond differently to applied stress.

5. 5.

   Discuss how the properties of the stress tensor differ in extreme conditions, such as in high-speed flows. What complications could arise in these scenarios?

   Hint

   Consider how physical laws change when conditions are extreme.

6. 6.

   Analyze a practical scenario involving the flow of blood (a non-Newtonian fluid). How does its behavior challenge traditional fluid dynamics modeling?

   Hint

   Think about how blood flow differs compared to water.