Fluid mechanics (for GM)

ME-280

Lecture Slides 13 (May 21)

This page is part of the content downloaded from Lecture Slides 13 (May 21) on Sunday, 29 June 2025, 20:21. Note that some content and any files larger than 50 MB are not downloaded.

Description

Slides of the 13th lecture .

  • basic 2D potential flow solutions via superpositions: 
  • (1) the half-body (2) Rankine ovals (3) flows around a circular cylinder and (4) around a rotating cylinder.
  • Lift and drag forces including d'Alembert's paradox.
  • lift and drag on an airfoil (short)

Suggested reading: 

Munson: Ch. 6.6.2-6.6.3 & 9.4.2


Notes: On the Kutta–Joukowski theorem (if you are interested in the proof - it's cleanly described in Wikipedia !):

https://en.wikipedia.org/wiki/Kutta–Joukowski_theorem (and the proof uses exactly the tools you learned in Complex Analysis including Laurent series for holomorphic functions and the residue theorem!!)

Lastly: Check out the NASA pages about lift on airfoils and specifically on incorrect lift theories. Links are on the slides and although the NASA websites are meant for high-school students, I like them a lot!




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