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Unformatted text preview: Lecture F11 Mud: Vorticity, Strain, Circulation (41 respondents) 1. Can you explain the 2nd figure in the notes more? (1 student) This shows the ﬂuid element at two successive times, t and t + t . Differences in velocity at two nodes will cause the nodes to not move in unison, resulting in tilting of the edges. Try re-reading the notes and Anderson. 2. How are ∂ 1 and ∂ 2 defined? (1 student) These are angles that the edges rotate, or tilt, during the time interval t . For conve- nience, we draw the initial element to be aligned with the x and y axes, so the angles can be conveniently measured from those axes. 3. What does ∂ ˙ mean? (1 student) This is the same as d ( ∂ ) /dt , or the rotation rate of the edge. 4. In the definition of z , Where did the u/ y and v/ x come from? (1 student) These velocity derivatives are equal to − ∂ ˙ 1 and ∂ ˙ 2 as obtained from the element edge tilting analysis....
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This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.
- Fall '05