Boulder Summer School Lecture: Introduction to Hydrodynamics

نویسنده

  • MICHAEL P. BRENNER
چکیده

The last lecture has been more words than equations. Today we are going to do some paradigmatic calculations. We’ll start with -one at high Reynolds number and one at low Reynolds number –which represent critical ideas for the subject of fluid mechanics. The first calculation is arguably the most important applied-mathematical idea of the twentieth century (at least I would argue it), and it is Prandtl’s discovery of the boundary layer. The second calculation is more prosaic, but it does come up a lot–and illustrations a sort-of application of Prandtl’s main mathematical idea at low Reynolds number. We will use the third calculation to present some basic ideas for how to extract meaning (and scaling laws) from the equations themselves.

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تاریخ انتشار 2011