ME 451B: Advanced Fluid Mechanics Flow Instability
Waves in fluids: surface waves, internal waves, inertial and acoustic waves, dispersion and group velocity, wave trains, transport due to waves, propagation in slowly varying medium, wave steepening, solitons and solitary waves, shock waves. Instability of fluid motion: dynamical systems, bifurcations, KelvinHelmholtz instability, RayleighBenard convection, energy method, global stability, linear stability of parallel flows, necessary and sufficient conditions for stability, viscosity as a destabilizing factor, convective and absolute instability. Focus is on flow instabilities. Prerequisites: graduate courses in compressible and viscous flow.
Terms: Spr

Units: 3

Grading: Letter or Credit/No Credit
ME 451C: Advanced Fluid Mechanics  Compressible Turbulence
Conservation equations. Thermodynamics of ideal gases. Isentropic flows. CroccoVazsonyi¿s equation, creation and destruction of vorticity by compressibility effects. Acoustics and generation of sound by turbulence. Shock waves. Kovasznay's modal decomposition of compressible flow, linear and nonlinear modal interactions, interaction of turbulence with shock waves. Turbulent Mach number. Shocklets. Energetics of compressible turbulence, effects of compressibility on homogeneous turbulence, freeshear flows and turbulent boundary layers. Van Driest transformation, recovery temperature, and shock/boundary layer interaction. Strong Reynolds analogy. Subgridscale modeling for compressible turbulence. Hypervelocity flows. Prerequisites: Familiarity with compressible laminar flows (
ME 355) and incompressible turbulence (
ME 361), or consent of the instructor.
Terms: Spr

Units: 3

Grading: Letter or Credit/No Credit
Instructors:
Urzay Lobo, J. (PI)
ME 451D: Microhydrodynamics (CHEMENG 310)
Transport phenomena on smalllength scales appropriate to applications in microfluidics, complex fluids, and biology. The basic equations of mass, momentum, and energy, derived for incompressible fluids and simplified to the slowflow limit. Topics: solution techniques utilizing expansions of harmonic and Green's functions; singularity solutions; flows involving rigid particles and fluid droplets; applications to suspensions; lubrication theory for flows in confined geometries; slender body theory; and capillarity and wetting. Prerequisites: 120A,B, 300, or equivalents.
Terms: Win

Units: 3

Grading: Letter or Credit/No Credit
ME 453A: Finite ElementBased Modeling and Simulation of Linear Fluid/Structure Interaction Problems
Basic physics behind many fluid/structure interaction phenomena. Finite elementbased computational approaches for linear modeling and simulation in the frequency domain. Vibrations of elastic structures. Linearized equations of small movements of inviscid fluids. Sloshing modes. Hydroelastic vibrations. Acoustic cavity modes. Structuralacoustic vibrations. Applications to liquid containers and underwater signatures. Prerequisite: graduate course in the finite element method or consent of instructor.
Terms: not given this year

Units: 3

Grading: Letter or Credit/No Credit
ME 453B: Computational Fluid Dynamics Based Modeling of Nonlinear Fluid/Structure Interaction Problems
Basic physics behind many highspeed flow/structure interaction phenomena. Modern computational approaches for nonlinear modeling and simulation in the time domain. Dynamic equilibrium of restrained and unrestrained elastic structures. Corotational formulation for large structural displacements and rotations. Arbitrary LagrangianEulerian description of inviscid and viscous flows. Timeaccurate CFD on moving and deforming grids. Discrete geometric conservation laws. Discretization of transmission conditions on nonmatching discrete fluid/structure interfaces. Coupled fluid/meshmotion/structure time integration schemes. Application to divergence, flutter, and buffeting. Prerequisites: graduate course in the finite element method, and in computational fluid dynamics.
Terms: not given this year

Units: 3

Grading: Letter or Credit/No Credit
ME 455: Complex Fluids and NonNewtonian Flows (CHEMENG 462)
Definition of a complex liquid and microrheology. Division of complex fluids into suspensions, solutions, and melts. Suspensions as colloidal and noncolloidal. Extra stress and relation to the stresslet. Suspension rheology including Brownian and nonBrownian fibers. Microhydrodynamics and the FokkerPlanck equation. Linear viscoelasticity and the weak flow limit. Polymer solutions including single mode (dumbbell) and multimode models. Nonlinear viscoelasticity. Intermolecular effects in nondilute solutions and melts and the concept of reptation. Prerequisites: low Reynolds number hydrodynamics or consent of instructor.
Terms: not given this year

Units: 3

Grading: Letter (ABCD/NP)
ME 457: Fluid Flow in Microdevices
Physicochemical hydrodynamics. Creeping flow, electric double layers, and electrochemical transport such as NernstPlanck equation; hydrodynamics of solutions of charged and uncharged particles. Device applications include microsystems that perform capillary electrophoresis, drug dispension, and hybridization assays. Emphasis is on bioanalytical applications where electrophoresis, electroosmosis, and diffusion are important. Prerequisite: consent of instructor.
Terms: not given this year

Units: 3

Grading: Letter or Credit/No Credit
ME 458: Advanced Topics in Electrokinetics
Electrokinetic theory and electrokinetic separation assays. Electroneutrality approximation and weak electrolyte electrophoresis theory. Capillary zone electrophoresis, field amplified sample stacking, isoelectric focusing, and isotachophoresis. Introduction to general electrohydrodynamics (EHD) theory including the leaky dielectric concept, the Ohmic model formulation, and electrokinetic flow instabilities. Prerequisite:
ME 457.
Terms: not given this year

Units: 35

Grading: Letter (ABCD/NP)
ME 461: Advanced Topics in Turbulence
Turbulence phenomenology; statistical description and the equations governing the mean flow; fluctuations and their energetics; turbulence closure problem, twoequation turbulence models, and second moment closures; nonlocal effect of pressure; rapid distortion analysis and effect of shear and compression on turbulence; effect of body forces on turbulent flows; buoyancygenerated turbulence; suppression of turbulence by stratification; turbulent flows of variable density; effect of rotation on homogeneous turbulence; turbulent flows with strong vortices. Prerequisites: 351B and 361A, or consent of instructor.
Terms: not given this year

Units: 3

Grading: Letter or Credit/No Credit
ME 463: Advanced Topics in Plasma Science and Engineering
Research areas such as plasma diagnostics, plasma transport, waves and instabilities, and engineering applications.
Terms: not given this year

Units: 3

Grading: Letter or Credit/No Credit
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