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4 cards from this section. Quick, good the night before a test.
What is the material derivative?
Think about the perspective of a moving particle in the flow.
Define vorticity.
Remember it is a vector quantity related to rotation.
What does the material derivative account for in fluid dynamics?
Think about perspective and movement in the context of fluid.
In an irrotational flow, what is the value of vorticity?
Consider what happens when fluid moves smoothly.
Consider a fluid's velocity vector field given by v(x,y,z) = (2xy, x^2+y^2, z^2). Calculate the material derivative for a fluid particle moving along this path.
Use the chain rule to find the changes in terms of time.
Given a shear strain from a velocity distribution in a fluid, calculate the shear stress using the relationship between strain and stress under Newtonian fluid assumptions.
Identify the proper gradient from the velocity field.
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