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Unformatted text preview: vector Lecture F14 Mud: Helmholtz, Laplaces Equation (33 respondents) 2 1. What is the physical meaning of 2 , or in general? (2 students) In the case of uid ow, 2 is the same as V , or the velocity divergence. Also, for 2-D ow, 2 is the same as vector V , or the vorticity. Laplaces 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. Laplaces equation and Laplace transforms are totally unrelated. Laplace himself dabbled in lots of different stuff. 3. How do you actually solve 2 = 0 ? (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. Whats the Helmoltz equation used for? (1 student) A major use is to prove that aerodynamic ows are irrotational, like we did in class. A major use is to prove that aerodynamic ows 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