Introduction to fluid mechanics with coverage of theory and applications of incompressible viscous and inviscid flows, and compressible high-speed flows. 4 undergraduate hours.
Instability and origins of chaotic motion in fluid flow; Reynolds averaging and statistical description of turbulence, correlations and spectral dynamics of homogeneous turbulence, anisotropic flows, coherent structures, inhomogeneous turbulence, transport models, and large-eddy simulations. Prerequisite: TAM 532. 4 graduate hours. (http://mechanical.illinois.edu/courses/tam-538-turbulence)
Dynamics of flow in which viscosity is significant or dominant, and the development and use of theoretical and numerical tools for practitioners of modern fluid mechanics; physics of viscous layers that arise in both high- and low-Reynolds-number flows; dimensional analysis, exact solutions to the Navier-Stokes equations; jets and wakes; microhydrodynamics; fluid stability; and an introduction to turbulence. Prerequisite: TAM 435 or equivalent; MATH 380; MATH 385, MATH 386, or MATH 441. 4 graduate hours (http://mechanical.illinois.edu/courses/tam-532-viscous-flow)
Our research group aims at providing fundamental insights on the role of turbulence in basic and applied problems of high interest, which can be divided in the following sub-areas:
i) structure of the boundary layer over complex topographies;
ii) wind & hydrokinetic energy technologies,
iii) scalar transport over urban and natural environments,
iv) flow-structure interaction; and
v) instrumentation for turbulence measurements.
We have developed a comprehensive research on these topics that are going to be sustained and expanded in the future. Our versatile experimental approach combines a set of state-of-the-art experimental techniques, including particle image velocimetry (PIV), computer vision, and our recently developed 3D particle tracking velocimetry (PTV). This framework allows us to study fluid dynamics from Eulerian and Lagrangian frame of references