2011-2012 Bulletin – PDF - SEAS Bulletin - Columbia University

iophysics of molecular motors, mechanics
of protein-protein interactions. Introduction to
modeling and simulation techniques, and modern
biopohysical techniques such as single molecule
FRET, optical traps, AFM, and superresolution
imaging, for understanding molecular mechanics
and dynamics.
MECE E4990x or y Special topics in
mechanical engineering
3 pts. Lect: 3. Instructor to be announced.
Prerequisites: Permission of the instructor. Topics
and Instructors change from year to year. For
advanced undergraduate students and graduate
students in engineering, physical sciences, and
other fields.
MECE E4999x, y or s Curricular practical training
1 pt. Professor Ateshian.
Prerequisite: Instructor’s written approval. Only for
ME graduate students who need relevant intern
or field-work experience as part of their program
of study as determined by the instructor. Written
application must be made prior to registration
outlining proposed study program. Final reports
required. This course may not be taken for pass/
fail credit or audited. International students must
also consult with the International Students and
Scholars Office.
MECE E6100x Advanced mechanics of fluids
3 pts. Lect: 3. Professor Panides.
Prerequisites: MATH E1210 and MECE E3100.
Eulerian and Lagrangian descriptions of motion.
Stress and strain rate tensors, vorticity, integral
and differential equations of mass, momentum,
and energy conservation. Potential flow.
MECE E6102y Computational heat transfer
and fluid flow
3 pts. Lect: 3. Not offered in 2011–2012.
Prerequisites: MECE E3100 and E3311; COMS
W1005 FORTRAN. Mathematical description of
pertinent physical phenomena. Basics of finitedifference
methods of discretization, explicit
and implicit schemes, grid sizes, stability, and
convergence. Solution of algebraic equations,
relaxation. Heat conduction. Incompressible
fluid flow, stream function-vorticity formulation.
Forced and natural convection. Use of primitive
variables, turbulence modeling, and coordinate
transformations.
MECE E6104y Case studies in computational
fluid dynamics
3 pts. Lect: 3. Professor Panides.
Prerequisites: APAM E4200 and MECE E6100.
Corequisites: APAM E4300 and MECE E4400.
Hands-on case studies in computational fluid
dynamics, including steady and transient
flows, heat and mass transfer, turbulence,
compressible flow and multiphase flow. Identifying
assumptions, computational domain selection,
model creation and setup, boundary conditions,
choice of convergence criteria, visualization and
interpretation of computed results. Taught in the
Mechanical Engineering Computer Laboratory with
Computational Fluid Dynamics software.
MECE E6105y Transport phenomena in the
presence of interfaces
3 pts. Lect: 3. Not offered in 2011–2012.
Prerequisites: MECE E3301 Thermodynamics
and MECE E3311 Heat transfer; MECE E4100
Mechanics of fluids, or equivalent or instructor’s
permission; CHEE E4252 Introduction to surface
and colloid chemistry, or the equivalent, or the
instructor’s permission. Surface energy and
capillary phenomena. Wetting and spreading
of liquids, wetting line pinning and hysteresis,
dynamics of wetting. Surfactants. Bubbles:
nucleation, stability, dynamics, microstreaming.
Jets and Drops: generation, dynamics, stability and
impact with surfaces. Measurement of transport
phenomena involving interfaces. Interfacial
transport phenomena involvng thermal, chemical
or electrical gradients. Applications in microfluidic
systems.
MECE E6200y Turbulence
3 pts. Lect: 3. Not offered in 2011-2012.
Prerequisite: MECE E6100. Introductory concepts
and statistical description. Kinematics of random
velocity fields, dynamics of vorticity, and scalar
quantities. Transport processes in a turbulent
medium. Turbulent shear flows: deterministic
and random structures. Experimental techniques,
prediction methods, and simulation.
MEBM E6310x-E6311y Mixture theories for
biological tissues, I and II
3 pts. Lect: 3. Not offered in 2011-2012.
Prerequisites: MECE E6422 and APMA E4200 or
equivalent. Development of governing equations
for mixtures with solid matrix, interstitial fluid,
and ion constituents. Formulation of constitutive
models for biological tissues. Linear and nonlinear
models of fibrillar and viscoelastic porous matrices.
Solutions to special problems, such as confined
and unconfined compression, permeation,
indentation and contact, and swelling experiments.
MECE E6313x Advanced heat transfer
3 pts. Lect: 3. Professor Naraghi.
Prerequisites: MECE E3311. Corequisites: MECE
E6100. Application of analytical techniques to the
solution of multidimensional steady and transient
problems in heat conduction and convection.
Lumped, integral, and differential formulations.
Topics include use of sources and sinks, laminar/
turbulent forced convection, and natural convection
in internal and external geometries.
MECE E6400y Advanced machine dynamics
3 pts. Lect: 3. Instructor to be announced.
Prerequisite: MECE E3401. Review of classical
dynamics, including Lagrange’s equations.
Analysis of dynamic response of high-speed
machine elements and systems, including
mass-spring systems, cam-follower systems,
and gearing; shock isolation; introduction to
gyrodynamics.
MECE E6422x–E6423y Introduction to the
theory of elasticity, I and II
3 pts. Lect: 3. Professor Ateshian.
Corequisite: APMA E4200. Analysis of stress
and strain. Formulation of the problem of elastic
equilibrium. Torsion and flexure of prismatic bars.
Problems in stress concentration, rotating disks,
shrink fits, and curved beams; pressure vessels,
contact and impact of elastic bodies, thermal
stresses, propagation of elastic waves.
MECE E6424x Vibrations in machines, I
3 pts. Lect: 3. Professor Stolfi.
Prerequisite: MECE E3401. Review of vibration
analysis of systems and mechanisms with one
degree of freedom. Natural frequencies. Forced
vibrations. Effects of dry and viscous friction.
Energy methods of Rayleigh and Ritz. Suppression
and elimination of vibration. Vibration isolation.
Measuring instruments. Critical speeds in machinery.
Synchronous whirl. Half-frequency whirl. Influence of
bearing characteristics on critical speeds. Effect of
gyroscopic moments. Systems with multiple degrees
of freedom. Dynamic vibration absorbers. Self-tuning
absorbers of pendulum and roller types. Lagrangian
equations of motion as applied to vibrating systems.
General equations for transverse critical speeds of
shafts. Surging of helical springs.
EEME E6601x Introduction to control theory
3 pts. Lect: 3. Professor Longman.
Prerequisite: MATH E1210. A graduate-level
introduction to classical and modern feedback
control that does not presume an undergraduate
background in control. Scalar and matrix
differential equation models and solutions in terms
of state transition matrices. Transfer functions
and transfer function matrices, block diagram
manipulations, closed loop response. Proportional,
rate, and integral controllers, and compensators.
Design by root locus and frequency response.
Controllability and observability. Luenberger
observers, pole placement, and linear-quadratic
cost controllers.
EEME E6602y Modern control theory
3 pts. Lect: 3. Not offered in 2011-2012.
Prerequisite: EEME E6601 or E4601 or ELEN
E6201, or instructor’s permission. Singular value
decomposition. ARX model and state space
model system identification. Recursive least
squares filters and Kalman filters. LQR, Hlinear
robust control, predictive control, adaptive
control. Liapunov and Popov stability. Nonlinear
adaptive control, nonlinear robust control, sliding
mode control.
EEME E6610y Optimal control theory
3 pts. Lect: 3. Not offered in 2011–2012.
Prerequisite: EEME E6601 or E4601 or instructor’s
permission. Covers topics in calculus of variations,
Pontryagin maximum principle, quadratic cost
optimal control, predictive control, dynamic
programming for optimal control, Kalman filtering,
numerical methods for solution. Some applications
discussed include: minimum energy subway
operation (our solution saved 11% in tests on the
Flushing Line, and the method was adopted by the
transit authority, saving many millions of dollars per
year), minimum time robot optimal control allowing
one to run assembly lines faster for increased
productivity.
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engineering 2011–2012