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Physics and Astronomy - Course Details

PHYS570NN (PHYS57000)





Beginning with the classical Euler equations of motion of a continuous ideal fluid, we will derive the Navier-Stokes equations for a viscous fluid, discuss gravity and sound waves, boundary layer (singular perturbation) theory, vortex motion, instabilities and elementary concepts of turbulence. An interesting application will compute the virtual mass renormalization of a body moving in a fluid. These concepts will then be applied to the more difficult problem of the flow of granular materials, including the rheology of suspensions of solids in liquids and gases and the mechanics of a fluid-free aggregation of solid particles. Topics include packing, dilatancy, granular temperature and dispersive grain flow in both the presence and absence of interstitial liquid. The course will involve irregular homework assignments and a semester project (to be done cooperatively with teams of other students in the class) to create a 1-D numerical hydrocode and apply it to demonstrating the origin of stellar winds and the Bunsen theory of geyser eruptions.

Department of Physics and Astronomy, 525 Northwestern Avenue, West Lafayette, IN 47907-2036 • Phone: (765) 494-3000 • Fax: (765) 494-0706

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