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3 cards from this section. Quick, good the night before a test.
What are the three coordinates used in cylindrical coordinates?
Think about how a cylinder is defined in space.
Write down the general form of the Laplacian in cylindrical coordinates.
Remember the terms related to radial, angular, and axial changes.
What is the formula for the Laplacian in cylindrical coordinates?
Review the formula as discussed in class.
True or False: Cylindrical coordinates are not important in engineering applications.
Consider the examples given in class.
Consider a cylindrical tank. If the temperature at the bottom is T0 and it remains constant, derive how the temperature varies with r and z using the cylindrical Laplacian.
Start with the heat equation and apply boundary conditions logically.
A fluid flows through a cylindrical pipe with a uniform flow rate. Discuss how the cylindrical Laplacian can be utilized to model the pressure changes in the fluid.
Think of how fluids behave in rotating systems.
5 more questions in this section. Enroll free to practise them all.
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