5.6.1. Numerical Examples

Try these first

1. 1.

   Define a stream function in fluid mechanics.

   Hint

   Think about how it relates to velocity components.

2. 2.

   What does CFD stand for?

   Hint

   It involves computational techniques for fluid analysis.

3. 3.

   What does a stream function represent in fluid mechanics?

   • A. A method for calculating pressure
   • B. A mathematical representation of flow
   • C. An indication of fluid density

   Hint

   Consider how stream functions relate to flow visualization.

4. 4.

   Is the following statement true or false? 'Pressure gradients do not influence fluid flow.'

   • True
   • False

   Hint

   Think about how pressure relates to flow dynamics.

5. 5.

   Given the stream function psi(x,y) = xy^2, derive the expressions for velocity components u and v. Explain how they relate to pressure gradients.

   Hint

   Focus on calculating partial derivatives for u and v.

6. 6.

   Discuss the implications of a high-pressure zone relative to a low-pressure zone in a flow field with defined streamlines.

   Hint

   Consider how pressure affects the spacing of streamlines.