Continuation of ChE 220A. Viscous flows. Application of scaling and asymptotic methods to transport problems and fluid motions; Weak convection effects; Boundary layer theories for fluid mechanics and transport processes. Introduction to Linear stability theory for interfacial and buoyancy-driven flows.
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Basic principles of diffusional processes, multicomponent systems, diffusion with chemical reaction, penetration and surface renewal theories, turbulent transport.
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Nature and origin of turbulence, boundary layer mechanics law of the wall, wakes, and jets, transport of properties, statistical description of turbulence, measurement problems, stratification effects. Application of principles to practical problems is stressed.
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Introduction to the various intermolecular interactions in solutions and in colloidal systems: Van Der Waals, electrostatic, hydrophobic, solvation,H-bonding. Introduction to colloidal systems: particles, micelles, polymers, etc. Surfaces: wetting, contact angles, surface tension, etc.
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Continuation of 222A. Interparticle interactions coagulation, flocculation,DLVO theory, steric interactions, polymer-coated surfaces, polymers in solution, viscosity in thin liquid films. Surfactant self-assembly: micelles, micro-emulsions, lamellar phases, etc. Surfactants on surfaces: langmuir-blodgett films, adsorption, adhesion.
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This course explores the physical effects underlying microfluidic systems, including viscous flows, the transport of suspended molecules and particles (advection, diffusion, reaction, and non-Newtonian effects), capillary effects in multi-phase systems, linear and nonlinear electrokinetic effects (electrophoresis, dielectrophoresis, induced-charge electrokinetics).
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Mathematical description of the level set method and design of the numerical methods used in its implementations (ENO-WENO, Godunov, Lax-Friedrich, etc.). Introduction to the Ghost Fluid Method. Applications in CFD, Materials Sciences, Computer Vision and Computer Graphics.
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Study the basic theory, equations and algorithms of atomistic and particle methods. Particular emphasis placed on molecular dynamics and Monte Carlo methods; other techniques, such as Brownian dynamics and smoothed particle hydrodynamics, are also studied.
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Methods of solution of partial differential equations and boundary value problems. Linear vector and function spaces, generalized fourier analysis, Sturm-Liouville theory, calculus of variations, and conformal mapping techniques.
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Advanced mathematical methods for engineers and scientists. Complex analysis, integral equations and green's functions. Asymptotic analysis of integrals and sums. Boundary layer methods and WKB theory.
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Bifurcation and stability theory of solutions to nonlinear evolution equations; introduction to chaotic dynamics. Emphasis on asymptotic and numerical methods for the analysis of steady-state and time-dependent nonlinear boundary-value problems.
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An introduction to molecular and microscale theories for the viscoelastic behavior of complex fluids: suspensions, colloidal dispersions, liquid crystals, dilute polymer solutions.
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Continuation of ChE 238A: Emphasis of the second term is on concentrated systems and polymeric liquids, reptation theory and extensions of reptation theories to complex architectures in the linear viscoelastic regime. Nonlinear Rheology for polymers.
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Following review of the theory of reaction kinetics for catalyzed and noncatalyzed systems, detailed consideration is given to design and performance of catalysts and chemical reactors. Mathematical studies of stability and optimization are emphasized in relationship to mass, energy, and momentum transport.
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Following review of the theory of reaction kinetics for catalyzed and noncatalyzed systems, detailed consideration is given to design and performance of catalysts and chemical reactors. Mathematical studies of stability and optimization are emphasized in relationship to mass, energy, and momentum transport.
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The course provides a framework for understanding the energy supply issues facing society with a focus on the science, engineering, and economic principles of the major alternatives. Emphasis will be on the physical and chemical fundamentals of energy conversion technologies.
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Theories of reaction rates. Heterogeneous and homogenous catalysis, including physical structure and characterization of catalysts. Catalyst poisoning.
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Fundamentals of dynamic network organization in biology (genes, metabolites). Emphasis on mathematical approaches to model and analyze complex biophysical network systems. Detailed case studies demonstrating successes of systems biology. Basic biological systems reviewed for nonbiologists.
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Seminar featuring guest speakers and graduate students on topics of currentresearch interest.
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Students or instructors present recently published papers and/or results relevant to their own research.
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Special seminar on research subjects of current interest.
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Experimental or theoretical research undertaken under the direction of a faculty member for graduate students who have not yet advanced to candidacy.
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Only for research underlying the thesis and writing the thesis.
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Only for research underlying the dissertation and writing the disseration.
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