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5 cards from this section. Quick, good the night before a test.
Define the del operator.
Think of the symbol used for it.
What does the gradient operator measure?
Consider how pressure changes in a pipe.
What is the del operator represented by?
It's a vector operator.
True or False: The gradient operator can be used to find points where pressure is constant in a pipe.
Consider what gradient means.
A fluid enters a horizontal pipe. If the divergence of the velocity field at a certain point is found to be zero, what can you conclude about the flow at that section?
Consider how conservation of mass applies in fluid dynamics.
Using the Laplacian operator, derive the equation that relates pressure change to spatial variations in a steady incompressible fluid.
Recall how the continuity equation expresses fluid behavior in pipes.
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