Below you will find a list of Mechanical Engineering graduate areas of emphasis (AOE)
accompanied with a course listing for each area.
-
Design and Manufacturing - computer-aided design, optimal design, design with reliability, additive manufacturing,
micro- and nano-fabrication
- Dynamic Systems – multiphysics phenomena, microstructural vibrations, MEMS/NEMS, novel acoustic measurement
techniques, noise control, microscale vibrations and acoustics, nonlinear dynamics,
sensors and actuators, control systems, robotics
- Materials - materials characterization, microstructure/property relationships, thin films,
computational materials, interfacial phenomena, functional materials, materials processing
- Solid Mechanics - mechanics of materials and structures, computational mechanics, biomechanics, waves
and vibration, additive manufacturing
- Transport Phenomena and Energy - heat and mass transfer in biological/environmental/industrial applications, microfluidics/nanofluidics,
complex fluids, mechanobiology, interfacial phenomena/wetting, additive manufacturing,
energy generation, energy storage, energy efficient space heating and cooling, smart
electronics and data center cooling, small-scale power harvesting
Specialization is achieved by selecting a set of courses from one of the areas of
emphasis.
Design and Manufacturing AOE courses include:
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ME 517 - Finite Element Analysis I
An introductory course in the finite element (FE) method dealing with the fundamental
principles. Problems solved in the areas of solid mechanics, structures, fluid mechanics
and heat transfer. Use of standard FE software such as ANSYS. Prerequisite: mechanics
of materials or consent of instructor. Term varies. 3 credits
Levels: Graduate, Undergraduate
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ME 527 - Mechatronics
Methods for analysis and design of electromechanical and piezoelectric systems.
Review of fundamentals in electronics, mechanics, and controls. Application
of Lagrangian and Hamiltonian dynamics to mechanical and electrical systems.
Signal conditioning. Sensors and actuators. Vibration control. Prerequisite:
graduate standing in electrical or mechanical engineering or physics, or consent of
instructor. 3 credits
Levels: Graduate, Undergraduate
-
ME 536 - Fundamentals of Additive Manu
Description: This course will explore additive manufacturing technologies from
a research and industrial perspectives. Topics will include conventional subtractive
machining, extrusion based additive manufacturing, metal additive manufacturing, inkjet
additive printing, photo-polymerizing technologies, additive nano-manufacturing, and
post-processing challenges. Course fee applies. Refer to the Schedule of Classes.
Prerequisites: ME-441 (Heat Transfer), ME-362 (Material Science), or equivalent, or
permission of the instructor. Normal grading option. Offered in the spring. 3 credits.
Levels: Graduate, Undergraduate
-
ME 571 - Manufacturing Processes I
The course focus is the analysis and applications of traditional and more recently
developed manufacturing processes. Also, the basic properties and structure of materials
will be reviewed. The range of manufacturing processes to be studied include traditional
machining, forming, casting, joining, additive manufacturing and non-traditional machining.
The processing of metals, ceramics, polymers, and composites are treated. Prerequisite:
ME 362 or equivalent. Offered in the Fall. 3 credits
Levels: Graduate, Undergraduate
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ME 581 - Computer Aided Engr
Fundamentals of computer graphics, interactive graphics, introduction to CAD, modeling,
analysis and optimization. Introduction of finite element method and use of standard
packages for design problems. Dynamic simulation. Cannot be taken in addition to ME
381 or equivalent. Term varies. 3 credits
Levels: Graduate, Undergraduate
-
ME 582 - Adv Computer-Aided Engineering
Advanced CAE will cover GD&T, CAM, theory and principles of CAD modeling, and
configuration management. Projects and laboratory assignments will include solid modeling
and manufacturing file output (CNC). There will be a weekly laboratory. A final project
will be a team, concurrent, distributed design project. Prerequisites: ME 381 or ME
581 or equivalent. Offered in the Spring. 3 credits
Levels: Graduate, Undergraduate
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ME 584 - Design of Mechanical Elements
This is a second course in mechanical component and systems design. Design and
analysis of fasteners, welds, bearings, gears, and power transmission elements will
be covered. Software packages will be used: Creo (solid modeling and computer-aided
design), Creo Structure or ANSYS (finite element analysis). Prerequisites: ME 581
and ME 392.
Levels: Graduate, Undergraduate
-
ME 586 - Reliability Based Mech Desig
The course provides an introduction to mechanical engineering reliability analysis
as well as reliable product design. The goal is to make the student familiar with
both the statistical tools as well as the possible failure modes that enable one to
model time to failure of products and to use such models during the design phase to
ensure reliable product performance. Prerequisite: ME 392 or equivalent course. Offered
in the Fall. 3 credits
Levels: Graduate, Undergraduate
-
ME 618 - Finite Elem Analysis II
Second-level course in the understanding of finite element method. Covers variational
formulations, non-linear static and dynamic analysis, transient problems and other
specialized features of applying the finite element method to solve engineering problems.
The FE code ANSYS and/or ABAQUS is used to solve the projects assigned in the course.
Prerequisite: ME 517 or equivalent or consent of instructor. Offered in the Spring.
3 credits
Levels: Graduate
Faculty associated with this: McGrann, Murray, Park, Razavi, Schiffres
Dynamic Systems AOE courses include:
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ME 521 - Dynamics Of Mems & Microsys
Modeling and characterization of MEMS structures. Topics include: static analysis,
free undamped vibration, free damped vibration in coupled fields (structural, electrostatic,
fluidic, thermoelastic); forced vibration, reduced-order modeling. Introduction to
perturbation approaches and nonlinear dynamics. Prerequisites: completion of undergraduate
Vibration course or co-requisite with ME421, or permission of instructor. Term varies.
3 credits
Levels: Graduate, Undergraduate
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ME 522 - Acoustics
Propagation of sound. Acoustic wave motion. Reflection of sound waves from boundaries.
Sound transmission through walls. Sound generation and radiation. Sound propagation
in ducts. Acoustic transducers: loudspeakers and microphones. Auditory systems, bioacoustics.
Prerequisite: ME535 or ME533, graduate standing in engineering or physics or consent
of instructor. Offered in the Spring. 3 credits
Levels: Graduate, Undergraduate
-
ME 523 - Advanced Dynamics
Fundamentals of mechanics for students in engineering practice and students contemplating
further in-depth study in mechanics. Topics included are: kinematics of particles
and rigid bodies; dynamics of articles and rigid bodies (Newton-Euler equations, impulse
momentum and work-energy principles); analytical mechanics (virtual displacements
and virtual work, Hamilton's principle, Lagrange's equations). Prerequisite:
undergraduate course in dynamics. 3 credits
Levels: Graduate, Undergraduate
-
ME 524 - Adv. Mech. Vibrations
Fundamentals of dynamics as applied to mechanically vibrating systems. Equations
of motion for systems with multiple degrees of freedom are developed to determine
natural modes of vibration of discrete systems. Approximate methods of solution, e.g.,
Rayleigh-Ritz, Galerkin's method, etc., are discussed. Vibration of continuous
systems, e.g., free and forced vibration of strings, bars, beams and plates are considered.
Numerical approaches, including the finite element method, are applied to continuous
systems. Prerequisite: ME 421 or equivalent and ME535 or ME533 or consent of instructor.
Course is offered every spring semester. 3 credits
Levels: Graduate, Undergraduate
-
ME 527 - Mechatronics
Methods for analysis and design of electromechanical and piezoelectric systems.
Review of fundamentals in electronics, mechanics, and controls. Application
of Lagrangian and Hamiltonian dynamics to mechanical and electrical systems.
Signal conditioning. Sensors and actuators. Vibration control. Prerequisite:
graduate standing in electrical or mechanical engineering or physics, or consent of
instructor. 3 credits
Levels: Graduate, Undergraduate
-
ME 528 - Modern Robotics
This is an entry level graduate course in robotics. This course gives students
a full overview of modern robotics, provides the basic knowledge on the foundations
of various aspects of robotics, and equips students with inherently interdisciplinary
skills in robotics. First, the coordinate frames and transformation for rigid body
motion will be discussed. Next, forward and inverse kinematics for manipulator models
will be introduced. Manipulator dynamics and path generation will be followed. Robotic
applications such as motion planning, motion control, mobile robots, etc. will be
discussed.
Prerequisites: ME302 Engineering Analysis and ME424 Control Systems in Mechanical
Engineering, or equivalent, or with approval of instructor. Offered in the fall. 3
credits
Levels: Graduate, Undergraduate
-
ME 622 - Advanced Acoustics
Physics of sound propagation. Acoustics wave motion. Reflection of sound waves
from boundaries. Sound transmission through walls. Sound generation and radiation
from vibrating structures. Sound propagation in ducts. Coupled acoustical systems:
interaction of sound with structures. Scattering of sound. Acoustics of small-scale
systems; viscous effects. Prerequisite: ME522 or consent of instructor. Offered in
the Fall. 3 credits
Levels: Graduate
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ME 627 - Random Vibrations
Methods for analyzing the response of vibrating systems with random inputs. Correlation
and spectral methods for discrete and continuous vibrating structures. Analysis of
non-linear systems using equivalent linearization, Gaussian closure and the Fokker-Plank
equation. Applications include flow-induced vibrations, response of distributed systems
to spatially random fields, reliability analysis and high-cycle fatigue life predictions.
Prerequisites: graduate course in mechanical vibration and a course in ordinary differential
equations, or consent of instructor. Offered in the Spring. 3 credits
Levels: Graduate
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ME 629 - Nonlinear Systems Dynamics
Introduction and examples of non-linear systems from various branches of science
and engineering. Non-linear second-order systems, phase-plane analysis. Stability
of linear and non-linear systems; Liapunov's criteria. Popov's frequency
method, limit cycles. Approximate techniques: perturbation and averaging. Computational
methods.
Levels: Graduate
Faculty associated with this: Miles, Pitarresi, Selleck, Towfighian, Younis, Yu, Zaychik
Materials AOE courses include:
-
ME 536 - Fundamentals of Additive Manu
Description: This course will explore additive manufacturing technologies from
a research and industrial perspectives. Topics will include conventional subtractive
machining, extrusion based additive manufacturing, metal additive manufacturing, inkjet
additive printing, photo-polymerizing technologies, additive nano-manufacturing, and
post-processing challenges. Course fee applies. Refer to the Schedule of Classes.
Prerequisites: ME-441 (Heat Transfer), ME-362 (Material Science), or equivalent, or
permission of the instructor. Normal grading option. Offered in the spring. 3 credits.
Levels: Graduate, Undergraduate
-
MSE 560 - Thermodynamics of Materials
Examines basic thermodynamic principles including energy, entropy and free energy,
and describes the concepts of equilibrium states, phases and phase transformations.
The thermodynamic treatment of ideal, regular and real solutions is reviewed. Other
topics include the application of phase diagrams, the thermodynamic description of
interfaces and the statistical interpretation of thermodynamics on the atomistic level.
Offered in the Fall Semester. 3 credits
Levels: Graduate, Undergraduate
-
MSE 562 - Mechanical Behav of Engr Mtls
A study of the response of materials to applied stresses, especially stress-induced
failures. Relationship between structure and properties, with emphasis on microstructural
changes and failure. Macroscopic and microscopic concepts of fracture mechanics, fatigue,
creep and their interactions. Emphasis on design applications and failure analysis.
Prerequisites: undergraduate courses in mechanics of materials and materials science,
or consent of instructor. Spring Offering. 3 credits
Levels: Graduate, Undergraduate
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MSE 565 - Crystallography & Diffraction
Fundamentals of bonding in solids; basic crystallography of materials; point groups
and space groups; tensor properties of crystals; symmetry and physical properties;
atomic packing and structures; glassy state; polycrystalline aggregates; grain boundaries
and interfaces; textures; multiphase materials; reciprocal space and its application
to structure analysis; basic diffraction theory and diffraction methods; crystal structure
determination by powder and single crystal techniques. Prerequisites: undergraduate
course in introductory materials science or consent of instructor. Offered in the
Fall Semester. 3 credits
Levels: Graduate, Undergraduate
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MSE 566 - Reactivity of Materials
Understanding the synthesis and reactivity of solids, phase and defect equilibria.
Use of phase diagrams. Overview of atomistic mechanisms and mathematics of diffusion,
phase transformations and microstructural evolution. Consideration of surfaces and
interfaces, including adsorption and wetting behavior. Spring offering. 4 credits
Levels: Graduate, Undergraduate
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ME 575 - Nanoscale Energy Transport
This course will explore how energy is transported and converted via molecules,
electrons, phonons, and photons. The science of these carriers has critical
energy applications, including thermoelectrics, thermal batteries, light emitting
diodes, and photovoltaics. Covered topics include kinetic theory, quantization
of energy levels, statistical distributions, Boltzmann transport relations, and nanoscale
size effects. Applications, recent advancement in the field, and experimental
techniques will be discussed. ME-441 (Heat Transfer), ME-331 (Thermodynamics), or
equivalent. Offered in the spring. 3 credits
Levels: Graduate, Undergraduate
Faculty associated with this: Cho, Zhou, Murray, Yong, Singler
Solid Mechanics AOE courses include:
-
ME 502 - Structural Mechanics
This course is a bridge between elementary mechanics of deformable bodies and advanced
courses in elasticity. Topics covered include fundamental concepts of structural mechanics,
analysis of beams, trusses, frames, cables and arches, determinacy and stability of
structures, influence lines, energy method, principle of virtual work, force, displacement
and stiffness methods, and other topics from structural and solid mechanics. Prerequisites:
ME 211 or equivalent course in Strength of Materials. Term varies. 3 credits.
Levels: Graduate, Undergraduate
-
ME 511 - Elasticity
Topics covered include three-dimensional analysis and representation of stress
and strain, development of governing equations of elastic media, applications of these
equations to two- and three-dimensional problems. Prerequisite: mechanics of materials
or consent of instructor. Prerequisite: ME 211 or equivalent. Offered in the Fall.
3 credits
Levels: Graduate, Undergraduate
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ME 514 - Plasticity
Fundamentals of deformation and strength concepts of isotropic materials. Plastic
stress-strain relations, criteria for yielding under multiaxial stress and properties
of the yield surface under loading and unloading schemes. Hardness tests and forging
problems. Elasto-plastic deformation of torsional and flexural members, hollow spheres
and thick-walled tubes. Slip-line analysis for indentation problems, and limit analysis
for frame structures and plates. Finite element theory with applications and practical
programming experience in a convenient FEM code. Dynamic plasticity experimental methods
are discussed. Prerequisites: ME 511 or consent of instructor. Term varies. 3 credits
Levels: Graduate, Undergraduate
-
ME 517 - Finite Element Analysis I
An introductory course in the finite element (FE) method dealing with the fundamental
principles. Problems solved in the areas of solid mechanics, structures, fluid mechanics
and heat transfer. Use of standard FE software such as ANSYS. Prerequisite: mechanics
of materials or consent of instructor. Term varies. 3 credits
Levels: Graduate, Undergraduate
-
ME 518 - Adv. Mechanics Of Materials
Review of equilibrium, compatibility and constitutive laws. Bending and torsion
problems. Energy methods. Variational formulations. Stability of elastic systems.
Prerequisites: ME 211 or equivalent. Term varies. 3 credits
Levels: Graduate, Undergraduate
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ME 520 - Mechanics of Composite Mtls
Course introduces the concepts and advantages of composite materials to the graduate
student and advanced senior students. It covers the nature of composites and mechanics
of composites for analytical approaches to model the behavior of material. Prerequisite:
ME511 or consent of instructor. Term varies. 3 credits.
Levels: Graduate, Undergraduate
-
ME 524 - Adv. Mech. Vibrations
Fundamentals of dynamics as applied to mechanically vibrating systems. Equations
of motion for systems with multiple degrees of freedom are developed to determine
natural modes of vibration of discrete systems. Approximate methods of solution, e.g.,
Rayleigh-Ritz, Galerkin's method, etc., are discussed. Vibration of continuous
systems, e.g., free and forced vibration of strings, bars, beams and plates are considered.
Numerical approaches, including the finite element method, are applied to continuous
systems. Prerequisite: ME 421 or equivalent and ME535 or ME533 or consent of instructor.
Course is offered every spring semester. 3 credits
Levels: Graduate, Undergraduate
-
ME 532 - Principles Biomechanical Engin
Study of the basic mechanical properties of the human body, including the biomechanics
of locomotion and measurement of physiological parameters. The applications of statics
and dynamics to biomechanics. Mechanical properties of Biological tissues. Multiscale
and multiphysics modeling. Projects will be included that will stress mathematical
and computational modeling and analysis of the mechanics of tissues, limbs, joints,
and prosthetics. Prerequisite: ME 211, ME 274, graduate and undergraduate in mechanical
engineering. Offered in the Spring. 3 credits
Levels: Graduate, Undergraduate
-
ME 536 - Fundamentals of Additive Manu
Description: This course will explore additive manufacturing technologies from
a research and industrial perspectives. Topics will include conventional subtractive
machining, extrusion based additive manufacturing, metal additive manufacturing, inkjet
additive printing, photo-polymerizing technologies, additive nano-manufacturing, and
post-processing challenges. Course fee applies. Refer to the Schedule of Classes.
Prerequisites: ME-441 (Heat Transfer), ME-362 (Material Science), or equivalent, or
permission of the instructor. Normal grading option. Offered in the spring. 3 credits.
Levels: Graduate, Undergraduate
-
ME 562 - Mechanical Behav of Engr Mtls
A study of the response of materials to applied stresses, especially stress-induced
failures. Relationship between structure and properties, with emphasis on microstructural
changes and failure. Macroscopic and microscopic concepts of fracture mechanics, fatigue,
creep and their interactions. Emphasis on design applications and failure analysis.
Prerequisites: undergraduate courses in mechanics of materials and materials science,
or consent of instructor. Term varies. 3 credits
Levels: Graduate, Undergraduate
-
ME 577 - Mechanics in Energy Appl
In the last a few years, rapid advances have been witnessed in modeling, simulations
and characterizations of mechanical behavior of advanced energy materials and systems,
and tremendous opportunities arise for further understanding of mechanics in energy
materials for superior performance. This project-based graduate elective course will
address the importance of mechanics in all aspects of energy conversion, energy storage
and energy harvesting. This course is a Community-Engaged Learning course. Prerequisite:
None. Offered in the Spring. 3 credits
Levels: Graduate, Undergraduate
-
ME 590 - Introduction to Nanotechnology
Basic concepts in nano science and nanotechnology will be introduced. The course
will cover nano structured materials and devices, nano fabrication techniques, nano
scale materials and devices characterization, applications of nanotechnology in electronics
and biomedical applications
Levels: Graduate, Undergraduate
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ME 610 - Fracture Mechanics
Application of the methods of analytical solid mechanics to calculate the driving
forces of crack propagation in materials and those of experimental solid mechanics
to characterize the resistance to fracture. Concepts of linear elastic and elastic-plastic
fracture mechanics. Prerequisite: ME535. Offered in the Fall. 3 credits
Levels: Graduate
-
ME 618 - Finite Elem Analysis II
Second-level course in the understanding of finite element method. Covers variational
formulations, non-linear static and dynamic analysis, transient problems and other
specialized features of applying the finite element method to solve engineering problems.
The FE code ANSYS and/or ABAQUS is used to solve the projects assigned in the course.
Prerequisite: ME 517 or equivalent or consent of instructor. Offered in the Spring.
3 credits
Levels: Graduate
Faculty associated with this: Ke, Park, Razavi, Zhang
Transport Phenomena and Energy AOE courses include:
-
ME 536 - Fundamentals of Additive Manu
Description: This course will explore additive manufacturing technologies from
a research and industrial perspectives. Topics will include conventional subtractive
machining, extrusion based additive manufacturing, metal additive manufacturing, inkjet
additive printing, photo-polymerizing technologies, additive nano-manufacturing, and
post-processing challenges. Course fee applies. Refer to the Schedule of Classes.
Prerequisites: ME-441 (Heat Transfer), ME-362 (Material Science), or equivalent, or
permission of the instructor. Normal grading option. Offered in the spring. 3 credits.
Levels: Graduate, Undergraduate
-
ME 540 - Fundamentals of Energy Transpo
A foundation for energy transport is developed in terms of the physical modes of
heat transfer and the formulation of computational models. Conduction, single-phase
forced and natural convection, phase-change convection, and modern energy applications
are addressed. Prerequisite: BSME or equivalent or consent of instructor. Term varies.
3 credits
Levels: Graduate, Undergraduate
-
ME 541 - Computational Fluid Dynamics
Fundamentals of computational fluid dynamics as they relate to compressible and
incompressible flows as well as interfacial phenomena. The course involves both MATLAB
implementations and the use of commercial software. Prerequisites: fluid mechanics
and differential equations, or consent of instructor. Offered in the Spring. 3 credits
Levels: Graduate, Undergraduate
-
ME 543X - Advanced HVAC
This is an entry level course in applied heating, ventilation, and air conditioning.
This course gives students an overview of HVAC including many different processes,
types of equipment and careers in the field. In this course we will develop a good
understanding of the design professional career field and other aspects of construction
engineering. Prerequisites: Thermodynamics (ME 331 or equivalent), Fluid Mechanics
(ME 351 or equivalent) and Heat Transfer (ME441 or equivalent) or with the approval
of the instructor. 3 credits Fall offering.
Levels: Graduate, Undergraduate
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ME 550 - Intro To Fluid Dynamics
A foundation for the analysis of inviscid and viscous incompressible flow is developed.
Foundation topics include Eulerian description, material derivative, relative motion
(strain-rate tensor), vorticity, Newtonian fluid model. Equations of motion are formulated,
leading to Euler and Navier-Stokes equations. Potential flow solutions are discussed.
Viscous flow is studied using Stokes, lubrication and boundary layer approximations.
Prerequisite: graduate standing or consent of instructor. Term varies. 3 credits
Levels: Graduate, Undergraduate
-
ME 552 - Complex Fluids
Multiphase flows and complex fluids are treated from a mathematical and physical
perspective. Fundamental and applied research topics are covered, including volume-averaged
governing equations, particle-fluid and particle-particle interactions, complex fluids
and colloidal dispersions, dynamics of droplets and bubbles, interfacial conditions,
stability, atomization and sprays, and experimental methods. Prerequisites: ME 550
and MSE560 (or equivalents). Term varies. 3 credits.
Levels: Graduate, Undergraduate
-
ME 554 - Viscous Flow
Various topics in viscous incompressible fluid flow. Navier-Stokes equations,
classical solutions, asymptotic methods, boundary layers, lubrication approximation,
capillarity, thin films with and without free surfaces, interfacial stability. Prerequisites:
undergraduate fluid mechanics, ME 535, or consent of instructor. Offered in the Fall.
3 credits
Levels: Graduate, Undergraduate
-
MSE 560 - Thermodynamics of Materials
Examines basic thermodynamic principles including energy, entropy and free energy,
and describes the concepts of equilibrium states, phases and phase transformations.
The thermodynamic treatment of ideal, regular and real solutions is reviewed. Other
topics include the application of phase diagrams, the thermodynamic description of
interfaces and the statistical interpretation of thermodynamics on the atomistic level.
Offered in the Fall Semester. 3 credits
Levels: Graduate, Undergraduate
-
ME 575 - Nanoscale Energy Transport
This course will explore how energy is transported and converted via molecules,
electrons, phonons, and photons. The science of these carriers has critical
energy applications, including thermoelectrics, thermal batteries, light emitting
diodes, and photovoltaics. Covered topics include kinetic theory, quantization
of energy levels, statistical distributions, Boltzmann transport relations, and nanoscale
size effects. Applications, recent advancement in the field, and experimental
techniques will be discussed. ME-441 (Heat Transfer), ME-331 (Thermodynamics), or
equivalent. Offered in the spring. 3 credits
Levels: Graduate, Undergraduate
-
ME 577 - Mechanics in Energy Appl
In the last a few years, rapid advances have been witnessed in modeling, simulations
and characterizations of mechanical behavior of advanced energy materials and systems,
and tremendous opportunities arise for further understanding of mechanics in energy
materials for superior performance. This project-based graduate elective course will
address the importance of mechanics in all aspects of energy conversion, energy storage
and energy harvesting. This course is a Community-Engaged Learning course. Prerequisite:
None. Offered in the Spring. 3 credits
Levels: Graduate, Undergraduate
-
ME 641 - Mesoscale Modeling Comp Fluids
Complex fluids, i.e., polymeric liquids and melts, colloidal suspensions, and micelle
solutions, are of great importance in nanotechnology, biomedical engineering, food
science, and petroleum industry. The first half of the course will introduce various
complex fluids and their physical behavior. The second half of the course will focus
on
surveying the state-of- the-art computer simulation methods (such as molecular dynamics,
dissipative particle dynamics, lattice Boltzmann methods, and others) and their
applications to model complex fluids. Prerequisites: ME 535, ME 550, and ME 541 or
consent of instructor. 3 credits
Levels: Graduate, Undergraduate
Faculty associated with this: Chiarot, Huang, Murray, Sammakia, Singler, Yong, Schiffres
