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Unformatted text preview: Lecture F16 Mud: Vorticity, Strain, Circulation (33 respondents) 2 1. What is the physical meaning of 2 , or in general? (2 students) ∂ In the case of ﬂuid ﬂow, 2 is the same as · V , or the velocity divergence. Also, for 2D ﬂow, 2 is the same as × ∂ V , or the vorticity. Laplace’s equation also appears in a great number of other situations in math and physics, such as in Electricity and Magnetism. 2. Can we use Laplace Transforms to solve for streamline shapes? (1 student) No. Laplace’s equation and Laplace transforms are totally unrelated. Laplace himself dabbled in lots of different stuff. 3. How do you actually solve 2 = ? (1 student) There are lots of different techniques, many employing superposition. In aerodynamics, one class of techniques are called panel methods , which we will discuss later. 4. What’s the Helmoltz equation used for? (1 student) A major use is to prove that aerodynamic ﬂows are irrotational, like we did in class....
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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
 MarkDrela

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