6.5. Stress Tensors in Fluid Flow

Try these first

1. 1.

   What is a stress tensor?

   Hint

   Think of it as a way to express forces acting internally within the fluid.

2. 2.

   List one practical application of Cauchy's equations.

   Hint

   Consider where fluid dynamics might impact engineering.

3. 3.

   What does the stress tensor represent?

   • Velocity distribution
   • Internal resistance force
   • Pressure field

   Hint

   Think about what stress measures in a fluid.

4. 4.

   Cauchy's equations are primarily concerned with the relationship between:

   • True
   • False

   Hint

   Recall what Cauchy's equations connect.

5. 5.

   Calculate the stress tensor in a fluid with a velocity gradient given data about the fluid's viscosity.

   Hint

   Use the definition of fluid viscosity and the relation to shear stress.

6. 6.

   Model the flow around a cylindrical object in a fluid and describe how stress tensors should vary across the surface.

   Hint

   Consider symmetry and boundary conditions while modeling.