# Courses and Registration

## Courses Quick Links |

**Note:** Students may also take courses from other engineering departments within Duke's Pratt School of Engineering, and courses from other graduate schools at Duke with the permission of the adviser and the Director of Graduate Studies.

## MEMS Courses

**ME 307(207). Transport Phenomena in Biological Systems (AC or GE, BB).** One course. C-L: see Biomedical Engineering 307(207); also C-L: Civil Engineering 307(207), Modeling Biological Systems

**ME 452(240). Patent Technology and Law.** The use of patents as a technological data base is emphasized including information retrieval in selected engineering disciplines. Fundamentals of patent law and patent office procedures. Consent of instructor required. Instructor: Cocks. One course.

**ME 512(218). Thermodynamics of Materials.** Basic thermodynamic concepts applied to solid state materials with emphasis on technologically relevant electronic materials such as silicon and GaAs. Thermodynamic functions, phase diagrams, solubilities and thermal equilibrium concentrations of point defects; nonequilibrium processes and the kinetic phenomena of diffusion, precipitation, and growth. Instructor: Tan. One course.

**ME 514(211). Theoretical and Applied Polymer Science (GE, BB).** An intermediate course in soft condensed matter physics dealing with the structure and properties of polymers and biopolymers. Introduction to polymer syntheses based on chemical reaction kinetics, polymer characterization. Emphasizes (bio)polymers on surfaces and interfaces in aqueous environments, interactions of (bio)polymer surfaces, including wetting and adhension phenomena. Instructor: Zauscher. One course. C-L: Biomedical Engineering 529(208)

**ME 515(212). Electronic Materials.** An advanced course in materials science and engineering dealing with materials important for solid-state electronics and the various semiconductors. Emphasis on thermodynamic concepts and on defects in these materials. Materials preparation and modification methods for technological defects in these materials. Prerequisite: Mechanical Engineering 221L(83L). Instructor: Tan. Curtarolo. One course.

**ME 517(241). Electromagnetic Processes in Fluids.** Electromagnetic processes and transport phenomena in fluids is overviewed. Topics to be discussed include: Maxwell's equations, statistical thermodynamic processes, origin of surface forces (i.e.Van der Waals), plasma in gases and electrolyte distribution, wave propagation near boundaries and in complex media, transport equations in continuum limit. Consent of instructor required. Instructor: Staff.

**ME 518(215). Biomedical Materials and Artificial Organs (GE, BB).** One course. C-L: see Biomedical Engineering 525(215)

**ME 519(209). Soft Wet Materials and Interfaces.** The materials science and engineering of soft wet materials and interfaces. Emphasis on the relationships between composition, structure, properties and performance of macromolecules, self assembling colloidal systems, linear polymers and hydrogels in aqueous and nonaqueous liquid media, including the role of water as an ''organizing'' solvent. Applications of these materials in biotechnology, medical technology, microelectronic technology, and nature's own designs of biological materials. Instructor: Needham. One course.

**ME 524(254). Introduction to the Finite Element Method.** One course. C-L: see Civil Engineering 530(254)

**ME 525(255). Nonlinear Finite Element Analysis.** One course. C-L: see Civil Engineering 630(255)

**ME 527(252). Buckling of Engineering Structures.** An introduction to the underlying concepts of elastic stability and buckling, development of differential equation and energy approaches, buckling of common engineering components including link models, struts, frames, plates and shells. Consideration will also be given to inelastic behavior, postbuckling, and design implications. Prerequisite: Civil and Environmental Engineering 421L, or consent of instructor. Instructor: Virgin, One course. C-L: see Civil Engineering 647(252)

**ME 531(202). Engineering Thermodynamics.** Axiomatic formulations of the first and second laws. General thermodynamic relationships and properties of real substances. Energy, availability, and second law analysis of energy conversion processes. Reaction and multiphase equilibrium. Power generation. Low temperature refrigeration and the third law of thermodynamics. Thermodynamic design. Instructor: Bejan. Hotz. One course.

**ME 532(280). Convective Heat Transfer.** Models and equations for fluid motion, the general energy equation, and transport properties. Exact, approximate, and boundary layer solutions for laminar flow heat transfer problems. Use of the principle of similarity and analogy in the solution of turbulent flow heat transfer. Two-phase flow, nucleation, boiling, and condensation heat and mass transfer. Instructor: Bejan. One course.

**ME 533(281). Fundamentals of Heat Conduction.** Fourier heat conduction. Solution methods including separation of variables, transform calculus, complex variables. Green's function will be introduced to solve transient and steady-state heat conduction problems in rectangular, cylindrical, and spherical coordinates. Microscopic heat conduction mechanisms, thermophysical properties, Boltzmann transport equation. Prerequisite: Mathematics 111 or consent of instructor. Instructor: Bejan. One course.

**ME 534(282). Fundamentals of Thermal Radiation. **Radiative properties of materials, radiation-materials interaction and radiative energy transfer. Emphasis on fundamental concepts including energy levels and electromagnetic waves as well as analytical methods for calculating radiative properties and radiation transfer in absorbing, emitting, and scattering media. Applications cover laser-material interactions in addition to traditional areas such as combustion and thermal insulation. Prerequisite: Mathematics 353(108) or consent of instructor. Instructor: Staff. One course.

**ME 536(221). Compressible Fluid Flow.** Basic concepts of the flow of gases from the subsonic to the hypersonic regime. One-dimensional wave motion, the acoustic equations, and waves of finite amplitude. Effects of area change, friction, heat transfer, and shock on one-dimensional flow. Moving and oblique shock waves and Prandtl-Meyer expansion. Prerequisite: ME 336L(126) or equivalent. Instructor: Shaughnessy. One course.

**ME 541(210). Intermediate Dynamics: Dynamics of Very High Dimensional Systems.** Dynamics of very high dimensional systems. Linear and nonlinear dynamics of a string as a prototypical example. Equations of motion of a nonlinear beam with tension. Convergence of a modal series. Self-adjoint and non-self-adjoint systems. Orthogonality of modes. Nonlinear normal modes. Derivation of Lagrange's equations from Hamilton's Principle including the effects of constraints. Normal forms of kinetic and potential energy. Component modal analysis. Asymptotic modal analysis. Instructor: Dowell, Hall or Knight. One course. C-L: Civil Engineering 625(210)

**ME 542(230). Modern Control and Dynamic Systems.** Dynamic modeling of complex linear and nonlinear physical systems involving the storage and transfer of matter and energy. Unified treatment of active and passive mechanical, electrical, and fluid systems. State-space formulation of physical systems. Time and frequency-domain representation. Controllability and observability concepts. System response using analytical and computational techniques. Lyapunov method for system stability. Modification of system characteristics using feedback control and compensation. Emphasis on application of techniques to physical systems. Instructor: Garg. One course.

**ME 543(234). Energy Flow and Wave Propagation in Elastic Solids.** Derivation of equations for wave motion in simple structural shapes: strings, longitudinal rods, beams and membranes, plates and shells. Solution techniques, analysis of systems behavior. Topics covered include: nondispersive and dispersive waves, multiple wave types (dilational, distortion), group velocity, impedance concepts including driving point impedances and moment impedances. Power and energy for different cases of wave propagation. Prerequisites: Engineering 244L(123L) and Mathematics 353(108) or consent of instructor. Instructor: Franzoni. One course. C-L: Civil Engineering 626(211)

**ME 544(235). Advanced Mechanical Vibrations.** Advanced mechanical vibrations are studied primarily with emphasis on application of analytical and computational methods to machine design and vibration control problems. Equations of motion are developed using Lagrange's equations. A single degree-of-freedom system is used to determine free vibration characteristics and response to impulse, harmonic periodic excitations, and random. The study of two and three degree-of-freedom systems includes the determination of the eigenvalues and eigenvectors, and an in-depth study of modal analysis methods. The finite element method is used to conduct basic vibration analysis of systems with a large number of degrees of freedom. The student learns how to balance rotating machines, and how to design suspension systems, isolation systems, vibration sensors, and tuned vibration absorbers. Instructor: Kielb. One course.

**ME 545(270). Robot Control and Automation.** Review of kinematics and dynamics of robotic devices; mechanical considerations in design of automated systems and processes, hydraulic and pneumatic control of components and circuits; stability analysis of robots involving nonlinearities; robotic sensors and interfacing; flexible manufacturing; man-machine interaction and safety consideration. Prerequisites: Mechanical Engineering 230 or equivalent and consent of instructor. Instructor: Garg. One course.

**ME 546(233). Intelligent Systems.** An introductory course on learning and intelligent-systems techniques for the modeling and control of dynamical systems. Review of theoretical foundations in dynamical systems, and in static and dynamic optimization. Numerical methods and paradigms that exploit learning and optimization in order to deal with complexity, nonlinearity, and uncertainty. Investigation of theory and algorithms for neural networks, graphical models, and genetic algorithms. Interdisciplinary applications and demonstrations drawn from engineering and computer science, including but not limited to adaptive control, estimation, robot motion and sensor planning. Prerequisites: Mathematics 216(107) or 111. Consent of instructor required. Instructor: Ferrari. One course.

**ME 548(263). Multivariable Control.** One course. C-L: Civil Engineering 648(263)

**ME 555(265). Intermediate Materials Science. **Structure and properties of solid materials: crystal structure and bonding, reciprocal space, free electron model, energy bands in solids, origins of electromagnetic, thermal, and mechanical properties, concepts of thermally activated processes, and characterization methods. Lazarides, Curtarolo, Zauscher

**ME 555(265). Advanced Topics in Mechanical Engineering.** Opportunity for study of advanced subjects related to programs within mechanical engineering tailored to fit the requirements of a small group. Approval of director of undergraduate or graduate studies required. Instructor: Staff. Variable credit.

**ME 555(265.01) Physiochemical Hydrodynamics**

**ME 555(265.02) Intro to Solid State Engineering**

**ME 555(265.03) Scanning Probe Microscopy**

**ME 571(237). Aerodynamics.** Fundamentals of aerodynamics applied to wings and bodies in subsonic and supersonic flow. Basic principles of fluid mechanics analytical methods for aerodynamic analysis. Two-and three-dimensional wing theory, slender-body theory, lifting surface methods, vortex and wave drag. Brief introduction to vehicle design, performance and dynamics. Special topics such as unsteady aerodynamics, vortex wake behavior, and propeller and rotor aerodynamics. This course is open only to undergraduate seniors and graduate students. Prerequisites: ME 336L(126) and Mathematics 353(108) or equivalent. Instructor: Bliss. One course.

**ME 572(236). Engineering Acoustics.** Fundamentals of acoustics including sound generation, propagation, reflection, absorption, and scattering. Emphasis on basic principles and analytical methods in the description of wave motion and the characterization of sound fields. Applications including topics from noise control, sound reproduction, architectural acoustics, and aerodynamic noise. Occasional classroom or laboratory demonstration. This course is open only to undergraduate seniors and graduate students. Prerequisites: Mathematics 353(108) or equivalent or consent of instructor. Instructor: Bliss. One course.

**ME 626(204). Plates and Shells.** One course. C-L: see Civil Engineering 646(204)

**ME 631(226). Intermediate Fluid Mechanics.** A survey of the principal concepts and equations of fluid mechanics, fluid statics, surface tension, the Eulerian and Lagrangian description, kinematics, Reynolds transport theorem, the differential and integral equations of motion, constitutive equations for a Newtonian fluid, the Navier-Stokes equations, and boundary conditions on velocity and stress at material interfaces. Instructor: Shaughnessy. One course.

**ME 632(227). Advanced Fluid Mechanics.** Flow of a uniform incompressible viscous fluid. Exact solutions to the Navier-Stokes equation. Similarity methods. Irrotational flow theory and its applications. Elements of boundary layer theory. Prerequisite: Mechanical Engineering 631(226) or consent of instructor. Instructor: Shaughnessy. One course.

**ME 633(228). Lubrication.** Derivation and application of the basic governing equations for lubrication; the Reynolds equation and energy equation for thin films. Analytical and computational solutions to the governing equations. Analysis and design of hydrostatic and hydrodynamic slider bearings and journal bearings. Introduction to the effects of fluid inertia and compressibility. Dynamic characteristics of a fluid film and effects of bearing design on dynamics of machinery. Prerequisites: Mathematics 353(108) and Mechanical Engineering 336L(126L). Instructor: Knight. One course.

**ME 639(229). Computational Fluid Mechanics and Heat Transfer.** An exposition of numerical techniques commonly used for the solution of partial differential equations encountered in engineering physics. Finite-difference schemes (which are well-suited for fluid mechanics problems); notions of accuracy, conservation, consistency, stability, and convergence. Recent applications of weighted residuals methods (Galerkin), finite-element methods, and grid generation techniques. Through specific examples, the student is guided to construct and assess the performance of the numerical scheme selected for the particular type of transport equation (parabolic, elliptic, or hyperbolic). Instructor: Howle. One course. C-L: Modeling Biological Systems

**ME 643(231). Adaptive Structures: Dynamics and Control.** Integration of structural dynamics, linear systems theory, signal processing, transduction device dynamics, and control theory for modeling and design of adaptive structures. Classical and modern control approaches applied to reverberant plants. Fundamentals of adaptive feedforward control and its integration with feedback control. Presentation of a methodical design approach to adaptive systems and structures with emphasis on the physics of the system. Numerous MATLAB examples provided with course material as well as classroom and laboratory demonstrations. Instructor: Staff. One course.

**ME 671(238). Advanced Aerodynamics.** Advanced topics in aerodynamics. Conformal transformation techniques. Three-dimensional wing theory, optimal span loading for planar and nonplanar wings. Ground effect and tunnel corrections. Propeller theory. Slender wing theory and slender body theory, transonic and supersonic area rules for minimization of wave drag. Numerical methods in aerodynamics including source panel and vortex lattice methods. Prerequisite: Mechanical Engineering 581(237). Instructor: Hall. One course.

**ME 672(239). Unsteady Aerodynamics.** Analytical and numerical methods for computing the unsteady aerodynamic behavior of airfoils and wings. Small disturbance approximation to the full potential equation. Unsteady vortex dynamics. Kelvin impulse and apparent mass concepts applied to unsteady flows. Two-dimensional unsteady thin airfoil theory. Time domain and frequency domain analyses of unsteady flows. Three-dimensional unsteady wing theory. Introduction to unsteady aerodynamic behavior of turbomachinery. Prerequisite: Mechanical Engineering 571(237). Instructor: Hall. One course.

**ME 668(268). Cellular and Biosurface Engineering.** A combination of fundamental concepts in materials science, colloids, and interfaces that form a basis for characterizing: the physical properties of biopolymers, microparticles, artificial membranes, biological membranes, and cells; and the interactions of these materials at biofluid interfaces. Definition of the subject as a coherent discipline and application of its fundamental concepts to biology, medicine, and biotechnology. Prerequisite: Mechanical Engineering 208 or consent of instructor. Instructor: Needham. One course.

**ME 711(303). CBIMMS Adv Materials Lab. Mechanical Engineering & Materials Science.** AdvancedTopics: Advanced Materials Lab. This course will give a hands-on introduction to characterizationand clean room based processing methods that play an imporant role in the fabrication andcharacterization of materials. Clean-room based processing methods to be covered include: basicphotolithography, evaporation, electron beam lithography, and wet and dry etching. Characterizationmethods to be covered include: atomic force microscopy, scanning electron microscopy,transmission electron microscopy and X-Ray photoelectron spectroscopy. Credit/No Credit.Permission Required. Instructor: Walters. 3 units.

**ME 717S(301). Biological Engineering Seminar Series (CBIMMS and CBTE).** Seminar series featuringin alternate weeks invited speakers and pre-seminar discussions. Research topics in biologicalengineering, with emphasis on bioinspired materials and materials systems, biomolecular, andtissue engineering. Enrollment is required of all BIMMS and BTE certificate program studentsin their first and second year. Open to others for credit or audit. Instructor consent required.Instructors: Zauscher, Craig, and Reichert. 1 unit. C-L: Biomedical Engineering 711S(301)

**ME 718S(302). Biological Engineering Seminar Series (CBIMMS and CBTE). **Seminar series featuringin alternate weeks invited speakers and pre-seminar discussions. Research topics in biologicalengineering, with emphasis on bioinspired materials and materials systems, biomolecular, andtissue engineering. Enrollment is required of all BIMMS and BTE certificate program studentsin their first and second year. Open to others for credit or audit. Instructor consent required.Instructors: Zauscher, Craig, and Reichert. 1 unit. C-L: Biomedical Engineering 712S(302)

**ME 741(331). Nonlinear Control Systems. **Analytical, computational, and graphical techniques forsolution of nonlinear systems; Krylov and Bogoliubov asymptotic method; describing functiontechniques for analysis and design; Liapounov functions and Lure's methods for stabilityanalysis; Aizerman and Kalman conjectures; Popov, circle, and other frequency-domain stabilitycriteria for analysis and synthesis. Prerequisite: Mechanical Engineering 542(230) or consent ofinstructor. Instructor: Garg. 3 units.

**ME 742(335). Nonlinear Mechanical Vibration. **A comprehensive treatment of the role of nonlinearitiesin engineering dynamics and vibration. Analytical, numerical, and experimental techniques aredeveloped within a geometrical framework. Prerequisite: Mechanical Engineering 541(210) or 544(235) orequivalent. Instructor: Virgin. 3 units.

**ME 759(399). Special Readings in Mechanical Engineering. **Individual readings in advanced studyand research areas of mechanical engineering. Approval of director of graduate studiesrequired. 1 to 3 units. Instructor: Staff. Variable credit.

**ME 775(325). Aeroelasticity. **A study of the statics and dynamics of fluid/structural interaction. Topicscovered include static aeroelasticity (divergence, control surface reversal), dynamic aeroelasticity(flutter, gust response), unsteady aerodynamics (subsonic, supersonic, and transonic flow),and a review of the recent literature including nonlinear effects such as chaotic oscillations.Prerequisite: Mathematics 230 and consent of instructor. Instructor: Dowell. 3 units.