Interactive Self-Study Module: Derivation of a Pressure Field and Fluid at Rest

This module uses screencasts to explain how to derive a pressure field using a force balance on a differential element and simplifications for a fluid at rest.  Screencasts are used to show how to perform the derivation and simplifications. An example problem allows the users to test themselves. We suggest using the learning resources in the following order:

  1. Attempt to answer the multiple-choice ConcepTest and solve the example problem before watching the screencasts.
  2. Watch the two screencasts that describe how to use a force balance on a differential element and answer the question in each screencast.
  3. Try to solve the example problem before watching the solution in the screencast.
  4. Answer the ConcepTests.

Understanding a differential derivation of a pressure field and fluid at rest is a key to a strong foundation for fluid statics and dynamics.

          This module is intended for Fluid dynamics courses.

Before studying this module, you should:

  • Know how to use a Taylor series expansion.
  • Be able to apply Newton's Second Law.

After studying this module, you should be able to:
  • Use a differential element to determine the equation of motion for fluid statics and dynamics.
  • Apply Newton's Second Law to a differential system.
  • Derive the equation of motion for a fluid.