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3 cards from this section. Quick, good the night before a test.
What are cylindrical coordinates used for?
Think about situations involving round shapes.
Name the three components of cylindrical coordinates.
Remember, they correspond to a circle.
What is the primary purpose of using cylindrical coordinates?
Consider the shapes involved in fluid dynamics.
True or False: The Navier-Stokes equations can be simplified in cylindrical coordinates.
Reflect on how geometric shapes affect equations.
Calculate the velocity at various points along a cylindrical pipe's cross-section using Navier-Stokes equations. Assume steady, incompressible flow.
Focus on using symmetry and check how pressure and velocity might vary.
Analyze how changing the diameter of a pipe affects the pressure drop using cylindrical coordinates.
Be sure to consider how the continuity equation changes with changing cross-sectional area.
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