Fluid mechanics (for GM)
ME-280
Lecture Slides 11 (May 7)
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Description
Slides of the 11th lecture .
- Navier-Stokes equations for a Newtonian fluid
- Inviscid flow assumption and the Euler equation
- Potential flow (conservation of zero vorticity in inviscid flow dynamics, velocity potential and "Bernoulli"-type momentum balance),
Note: At the beginning we also finish the "Intermezzo" on concepts from Analysis: Index notation, Einstein summation, Divergence theorem, outer products of vectors. I hope with that added material, the calculations for the viscous force terms in the differential form of Newton's 2nd law are clear.
Suggested reading: Munson Ch. 6.8 (Navier-Stokes equation), 6.1 (Intro), 6.1.2, 6.1.3 (Deformation of fluid elements and velocity gradients), 6.4 (invicid flow)