with graduate student Benjamin Landrum New Class for Fall 2014 Low-Reynolds number hydrodynamics, suspension mechanics, and rheology Colloidal gel image from Zia, Landrum, and Russell (2014) CHEME 7340 (3 Credits) Instructor: Prof. Roseanna Zia Guest lectures from Dr. Nick Hoh MW 10:10-11:25am Many non-Newtonian behaviors in particulateGel suspensions Increasing Age and other complex fluids that manifest at the macroscale can be understood at a fundamental level by an analysis of the microhydrodynamics and stochastic motion of colloidal particles in a suspending fluid. In this course, students will build up a uctural coarsening with age. In the panel above, five rigorous understanding of suspension micromechanics and of the hydrodynamics, gel are shown,beginning each 10 with times older than the previous. the fundamentals of low Reynolds re colored according number ofand neighbors, withtoblue for more number fluid tomechanics solutions Stokes' equations. and red for fewer. The first snapshot shows the gel shortly after Additional tools and ideas, including the method of reflections, the The microstructure coarsens, with strands the gel becoming Lorentz reciprocal theorem, Faxén'sof formulae, and multipole d longer,expansions, and the interstitial pores growing larger. will extend these ideas to interactions between particle in arbitrary flows and to Particles many-bodywith problems. cartoon of a pairs strand in the gel network. zero The role played by on Brownian motion thermodynamic forces in iffuse freely; particles the surface haveand contact numbers from particle buried motiondeep and suspension properties will be discussed. ; and particles within a network strand have contact The statistical mechanics theory will be utilized to derive anging from seven to twelve. connections between particle microstructure and macroscopic p ro p e r t i e s s u c h a s v i s c o s i t y, s t re s s , a n d d i f f u s i o n . Phenomenological models will be studied. Past and recent landmark results will be derived and discussed. Assessment will be project- and homework-based. whic crac imp forc dens As n corr ther stre frac igure 2: Sediment height along the trajectory in Hydrodynamic Interactions: ColloidsFigure 1[2] in Spherical Confinement a ph mec tens gene Above: Cavendish Lab, Cambridge Below: Hoh and Zia (2014) Prerequisites: - Vector calculus, ODEs, PDEs - University physics with graduate student Christian A. Aponte Rivera - Undergraduate-level fluid mechanics Suggested Preparation: 3D micro-confinement perturbs the equilibrium spatial - Graduate level fluid mechanics & transport distribution of colloids in suspension relative to their - Experience MATLAB suspension. This alters diffusion configuration in with an unbounded coefficients and effective suspension viscosities. Scan for more info, or visit the site http://www.icse.cornell.edu/ziagroup/courses.html Currently, it is difficult to study these behaviors theoretically or via dynamic simulation. While the theory required to define a