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2009-2010 Bulletin – PDF - SEAS Bulletin - Columbia University

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instructor’s permission. Computer-aided design,<br />

free-form surface modeling, tooling and fixturing,<br />

computer numeric control, raid prototyping,<br />

process engineering, fixed and programmable<br />

automation, industrial robotics.<br />

MECE E4610x Advanced manufacturing<br />

processes<br />

Lect: 3. 3 pts. Professor Yao.<br />

Prerequisites: Introductory courses on manufacturing<br />

processes and heat transfer, knowledge of<br />

engineering materials, or the instructor’s permission.<br />

Principles of nontraditional manufacturing,<br />

nontraditional transport and media. Emphasis on<br />

laser assisted materials processing, laser material<br />

interactions with applications to laser material<br />

removal, forming, and surface modification.<br />

Introduction to electrochemical machining, electrical<br />

discharge machining, and abrasive water jet<br />

machining.<br />

MEBM E4702x Advanced musculoskeletal<br />

biomechanics<br />

Lect: 3. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>.<br />

Advanced analysis and modeling of the musculoskeletal<br />

system. Topics include advanced<br />

concepts of 3-D segmental kinematics, musculoskeletal<br />

dynamics, experimental measurements<br />

of joints kinematics and anatomy, modeling of<br />

muscles and locomotion, multibody joint modeling,<br />

introduction to musculoskeletal surgical simulations.<br />

MEBM 4703y Molecular mechanics in biology<br />

Lect: 3. 3 pts. Professor Liao.<br />

Prerequisite: ENME E3105, APMA E2101, or the<br />

instructor’s permission. Mechanical understanding<br />

of biological structures including proteins, DNA<br />

and RNA in cells and tissues. Force response of<br />

proteins and DNA, mechanics of membranes, biophysics<br />

of molecular motors, mechanics of protein-protein<br />

interactions. Introduction to modeling<br />

and simulation techniques, and modern biophysical<br />

techniques such as single molecule FRET,<br />

optical traps, AFM, and super-resolution imaging,<br />

for understanding molecular mechanics and<br />

dynamics.<br />

MECE E4990x or y Special topics in mechanical<br />

engineering<br />

Lect: 3. 3 pts. Instructor to be announced.<br />

Prerequisite: The instructor’s permission. Topics<br />

and instructors change from year to year. For<br />

advanced undergraduate students and graduate<br />

students in engineering, physical sciences, and<br />

other fields.<br />

MECE E4999x and y (sect. 001) Curricular<br />

practical training<br />

1 pt. Professor Yao.<br />

Prerequisite: Instructor’s written approval. Only<br />

for ME graduate students who need relevant<br />

intern or fieldwork experience as part of their<br />

program of study as determined by the instructor.<br />

Written application must be made prior to registration<br />

outlining proposed study program. Final<br />

reports required. This course may not be taken<br />

for pass/fail credit or audited. International students<br />

must also consult with the International<br />

Students and Scholars Office.<br />

MECE E6100x Advanced mechanics of fluids<br />

Lect: 3. 3 pts. Professor Panides.<br />

Prerequisites: MATH E1210 and MECE E3100.<br />

Eulerian and Lagrangian descriptions of motion.<br />

Stress and strain rate tensors, vorticity, integral<br />

and differential equations of mass, momentum,<br />

and energy conservation. Potential flow.<br />

MECE E6102y Computational heat transfer<br />

and fluid flow<br />

Lect: 3. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>.<br />

Prerequisites: MECE E3100 and E3311; FOR-<br />

TRAN. Mathematical description of pertinent<br />

physical phenomena. Basics of finite-difference<br />

methods of discretization, explicit and implicit<br />

schemes, grid sizes, stability, and convergence.<br />

Solution of algebraic equations, relaxation. Heat<br />

conduction. Incompressible fluid flow, stream<br />

function-vorticity formulation. Forced and natural<br />

convection. Use of primitive variables, turbulence<br />

modeling, and coordinate transformations.<br />

MECE E6104y Case studies in computational<br />

fluid dynamics<br />

Lect: 3. 3 pts. Professor Panides.<br />

Prerequisites: APMA E4200 and MECE E6100.<br />

Corequisites: APMA E4300 and MECE E4400.<br />

Hands-on case studies in computational fluid<br />

dynamics, including steady and transient flows,<br />

heat and mass transfer, turbulence, compressible<br />

flow, and multiphase flow. Identifying assumptions,<br />

computational domain selection, model creation<br />

and setup, boundary conditions, choice of convergence<br />

criteria, visualization and interpretation of<br />

computed results. Taught in the Mechanical<br />

Engineering Computer Laboratory with computational<br />

fluid dynamics software.<br />

MECE E6105y Transport phenomena in the<br />

presence of interfaces<br />

Lect: 3. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>.<br />

Prerequisites: MECE E3301 and MECE E3311;<br />

MECE E4100 or the equivalent, or the instructor’s<br />

permission; CHEE E4252 or the equivalent, or the<br />

instructor’s permission. Surface energy and capillary<br />

phenomena. Wetting and spreading of liquids,<br />

wetting line pinning and hysteresis, dynamics of<br />

wetting. Surfactants. Bubbles: nucleation, stability,<br />

dynamics, microstreaming. Jets and drops:<br />

generation, dynamics, stability, and impact with<br />

surfaces. Measurement of transport phenomena<br />

involving interfaces. Interfacial transport phenomena<br />

involving thermal, chemical, or electrical gradients.<br />

Applications in microfluidic systems.<br />

MECE E6200y Turbulence<br />

Lect: 3. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>.<br />

Prerequisite: MECE E6100. Introductory concepts<br />

and statistical description. Kinematics of random<br />

velocity fields, dynamics of vorticity, and scalar<br />

quantities. Transport processes in a turbulent<br />

medium. Turbulent shear flows: deterministic<br />

and random structures. Experimental techniques,<br />

prediction methods, and simulation.<br />

MEBM E6310x–E6311y Mixture theories for<br />

biological tissues, I and II<br />

Lect: 3. 3 pts. Professor Ateshian.<br />

Prerequisites: MECE E6422 and APMA E4200,<br />

or the equivalent. Development of governing<br />

equations for mixtures with solid matrix, interstitial<br />

fluid, and ion constituents. Formulation of constitutive<br />

models for biological tissues. Linear and<br />

nonlinear models or fibrillar and viscoelastic<br />

porous matrices. Solutions to special problems,<br />

such as confined and unconfined compression,<br />

permeation, indentation and contact, and swelling<br />

experiments.<br />

MECE E6313x Advanced heat transfer<br />

Lect: 3. 3 pts. Professor Naraghi.<br />

Prerequisite: MECE E3311. Corequisite: MECE<br />

E6100. Application of analytical techniques to the<br />

solution of multi-dimensional steady and transient<br />

problems in heat conduction and convection.<br />

Lumped, integral, and differential formulations.<br />

Topics include use of sources and sinks,<br />

laminar/turbulent forced convection, and natural<br />

convection in internal and external geometries.<br />

MECE E6400y Advanced machine dynamics<br />

Lect: 3. 3 pts. Not given in <strong>2009</strong>–<strong>2010</strong>.<br />

Prerequisite: MECE E3401. Review of classical<br />

dynamics, including Lagrange’s equations.<br />

Analysis of dynamic response of high-speed<br />

machine elements and systems, including massspring<br />

systems, cam-follower systems, and gearing;<br />

shock isolation; introduction to gyrodynamics.<br />

MECE E6422x-E6423x or y Introduction to the<br />

theory of elasticity, I and II<br />

Lect: 3. 3 pts. Professor Lai.<br />

Corequisite: APMA E4200. Analysis of stress<br />

and strain. Formulation of the problem of elastic<br />

equilibrium. Torsion and flexure of prismatic bars.<br />

Problems in stress concentration, rotating disks,<br />

shrink fits, and curved beams; pressure vessels,<br />

contact and impact of elastic bodies, thermal<br />

stresses, propagation of elastic waves.<br />

MECE E6424x Vibrations in machines, I<br />

Lec: 3. 3 pts. Professor Stolfi.<br />

Prerequisite: MECE E3401. Review of vibration<br />

analysis of systems and mechanisms with one<br />

degree of freedom. Natural frequencies. Forced<br />

vibrations. Effects of dry and viscous friction.<br />

Energy methods of Rayleigh and Ritz. Suppression<br />

and elimination of vibration. Vibration isolation.<br />

Measuring instruments. Critical speeds in machinery.<br />

Synchronous whirl. Half-frequency whirl.<br />

Influence of bearing characteristics on critical<br />

speeds. Effect of gyroscopic moments. Systems<br />

with multiple degrees of freedom. Dynamic vibration<br />

absorbers. Self-tuning absorbers of pendulum<br />

and roller types. Lagrangian equations of motion<br />

185<br />

<strong>SEAS</strong> <strong>2009</strong>–<strong>2010</strong>

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