Mechanical Engineering ENME

ENME 101 317 337 339 341 421 461 471 473 479 485 493 495 501 502 505 519 521 547 561 562 570 571 572 573 574 583 585 587 595 597 599 602 603 605 607 613 614 615 616 618 619 620 622 624 626 628 630 631 632 633 634 636 637 639 640 641 642 643 644 647 650 653 661 662 663 664 665 667 668 669 670 672 674 675 676 677 678 680 682 683 684 685 686 688 689 698 699 708 713

For more information about these courses, see the Department of Mechanical and Manufacturing Engineering: in the Schulich School of Engineering.

Mechanical Engineering 101

Mechanical and Manufacturing Engineering Block Course

Special topics in Mechanical and Manufacturing Engineering. Research and industry presentations, software training, informational sessions, and field trips as resources permit.
Course Hours: 3 units; (32 hours)
Notes: Presented during block week in the Fall Term. All Mechanical and Manufacturing Engineering students must complete this course prior to entry to their third year of studies.
Also known as: (formerly Mechanical Engineering 001)
NOT INCLUDED IN GPA

Senior Courses

Mechanical Engineering 317

Mechanics of Deformable Solids I

Review of axial-force, shear-force, bending moment and torque diagrams. Review of vector and matrix algebra. Kinematics of deformation and strain. Concept of stress. Constitutive equations. The states of plane stress and plane strain. Solutions to elementary elasticity problems 鈥� axial force, torsion, bending, shear force. Deflection of beams. Euler buckling. Yield criteria.
Course Hours: 3 units; (3-1.5T-3/2)
Prerequisite(s): Engineering 202; and Mathematics 275 or Applied Mathematics 217.
Antirequisite(s): Credit for Mechanical Engineering 317 and any of Engineering 317, Biomedical Engineering 383, Civil Engineering 317 or Physics Engineering 383 will not be allowed.

Mechanical Engineering 337

Computing Tools for Engineering Design

The application of computer tools to solve practical engineering problems; advanced engineering computing including algorithm development, debugging, and verification and interpretation of results; mathematical modelling using high-level programming languages and fundamentals of numerical analysis; introduction to data analysis using machine learning concepts.
Course Hours: 3 units; (3-2)
Prerequisite(s): Digital Engineering 233 or Engineering 233.

Mechanical Engineering 339

Engineering Graphics and CAD

Technical sketching. Orthographic projections. Multiviews, auxiliary views and section views. Dimensions and tolerances. Working drawings. Design applications. Computer-Aided Design (CAD) software is used for 3D modelling and 2D drawing.
Course Hours: 3 units; (3-2)
Prerequisite(s): Engineering 200.

Mechanical Engineering 341

Fundamentals of Fluid Mechanics

Basic principles of mechanics of fluids. Fluid statics: forces on surfaces, buoyancy, stability. Continuity, energy and momentum equations applied to control-volume analysis. Dimensional analysis and physical similarity. Introduction to external flows and flow through pipes. Applications to a variety of problems in mechanical engineering.
Course Hours: 3 units; (3-1.5T-2/2)
Prerequisite(s): Engineering 201 or 212; and Engineering 349 and Mathematics 277.
Antirequisite(s): Credit for Mechanical Engineering 341 and Biomedical Engineering 383 or Physics Engineering 383 will not be allowed.

Mechanical Engineering 421

Materials I

Fundamentals of materials science with emphasis on the structure of materials and structure/property relationships: atomistic models; equilibrium phase diagrams; kinetics and non-equilibrium transformation diagrams; thermal-mechanical processing; microstructure formation and control; ductility mechanisms; material selection; and an introduction to fracture.
Course Hours: 3 units; (3-1T-3/2)
Prerequisite(s): 3 units from Engineering 311, Biomedical Engineering 322, or Physics 449.

Mechanical Engineering 461

Mechatronics for Measurement and Instrumentation

Components of measurement systems. Dynamic modelling of mechatronic systems and their transient and frequency response. Conversion of sensor outputs to voltage. Signal conditioning, amplifiers, and filters. Statistical analysis of measurement uncertainty. Digitization, sampling, aliasing, noise, and quantization error. Operating principles of sensors and actuators and their selection for industrial measurement and control.
Course Hours: 3 units; (3-1T-3/2)
Prerequisite(s): Engineering 225, 349, Digital Engineering 319 and Mathematics 375.
Antirequisite(s): Credit for Mechanical Engineering 461 and Engineering Physics 491 will not be allowed.

Mechanical Engineering 471

Heat Transfer

Modes of heat transfer; conduction, convection, radiation. Conduction in plane walls and cylinders. Conduction-convection systems, fins. Principles of convection. Empirical and practical relations for forced convection heat transfer. Natural convection. Condensation and boiling heat transfer. Heat exchangers. The log-mean temperature difference method.
Course Hours: 3 units; (3-1T-2/2)
Prerequisite(s): Engineering 311 or Physics 449; and 3 units from Mechanical Engineering 341, Physics Engineering 383 or Energy Engineering 480.

Mechanical Engineering 473

Fundamentals of Kinematics and Dynamics of Machines

Basic mechanisms and linkages in machinery. Kinematics and kinetics of mechanisms. Cam design and dynamic analysis. Ordinary and planetary gear trains.
Course Hours: 3 units; (3-1T)
Prerequisite(s): Engineering 349.

Mechanical Engineering 479

Mechanics of Deformable Solids II

One-dimensional viscoelasticity. Review of Linear Algebra. Kinematics of the deformation, strain and compatibility. Balance equations, stress and equilibrium. Linear elastic constitutive equations. Initial and boundary conditions in linear elasticity. Solution to axi-symmetric and two-dimensional boundary value problems in elasticity. Failure criteria. Principle of virtual work and energy methods. The stiffness, Rayleigh-Ritz and finite element numerical methods in solid mechanics.
Course Hours: 3 units; (3-1.5T-2/2)
Prerequisite(s): 3 units from Mechanical Engineering 317, Biomedical Engineering 383, Physics Engineering 383, or Engineering 317.

Mechanical Engineering 485

Mechanical Engineering Thermodynamics

Review of fundamentals; thermodynamic properties; flow and non-flow processes; Carnot cycle; Rankine cycle including reheat and regeneration. Engine gas cycles including simple gas turbines; gas turbines with reheat, intercooling and heat exchange. Reciprocating air compressors and expanders. Applications of humidity considerations; heat-pump and refrigeration cycles and their performance criteria. Combustion processes, chemical equilibrium, dissociation.
Course Hours: 3 units; (3-1T-3/2)
Prerequisite(s): Engineering 311 or Physics 449.

Mechanical Engineering 493

Machine Component Design

Introduction to the principles of machine component design. Design for stiffness, strength, and endurance. Surface contacts, wear, and lubrication. Tolerances and fits. Design and selection of mechanical elements such as shafts, bolted joints, welded joints, hydrodynamic bearings, ball and roller bearings, gears, belts, brakes, clutches, and springs.
Course Hours: 3 units; (3-2T)
Prerequisite(s): Engineering 349; and Mechanical Engineering 317 or Engineering 317.

Mechanical Engineering 495

Fluid Mechanics

Control volume methodology for multi-dimensional systems as applied to conservation principles (mass, linear and angular momentum); Navier-Stokes equations applied to pipe and boundary layer flows; basic principles of potential flow theory and aerodynamics and an introduction to compressible flow (convergent-divergent channels and normal shocks).
Course Hours: 3 units; (3-1.5T-1/2)
Prerequisite(s): Engineering 311 and Mechanical Engineering 341; or Biomedical Engineering 322 and 383; or Physics 449 and Physics Engineering 383.

Mechanical Engineering 501

Mechanical Engineering Capstone Design Project I

A team-based project course with the focus on the design process associated with mechanical and manufacturing engineering. The design process consists of the stages of conceptual design, design development and verification. Project management, teamwork and communication are emphasized for professional development.
Course Hours: 3 units; (0-4)
Prerequisite(s): Fourth-year standing or above.
Antirequisite(s): Credit for Mechanical Engineering 501 and 538 will not be allowed.
Notes: Mechanical Engineering 501 and 502 are a required two-course sequence that must be completed in the same academic year. Concurrent enrolment in Mechanical Engineering 501 and one or more of Internship 513.01, 513.02, 513.03, and 513.04 will not be allowed.

Mechanical Engineering 502

Mechanical Engineering Capstone Design Project II

A continuation of the capstone design project, where student teams build on their design work in Part I.
Course Hours: 3 units; (0-4)
Prerequisite(s): Mechanical Engineering 501.
Antirequisite(s): Credit for Mechanical Engineering 502 and 538 will not be allowed.
Notes: Mechanical Engineering 501 and 502 are a required two-course sequence that must be completed in the same academic year.

Mechanical Engineering 505

Robotics

Kinematics, statics, dynamics and control of robot arms. Robot actuators, drives, sensors, and vision. Applications of robots.
Course Hours: 3 units; (3-3/2)
Prerequisite(s): Engineering 349 or Energy Engineering 460.

Mechanical Engineering 519

Special Topics in Mechanical Engineering

Advanced topics in Mechanical Engineering.
Course Hours: 3 units; (3-2)
Prerequisite(s): Consent of the Department.
MAY BE REPEATED FOR CREDIT

Mechanical Engineering 521

Materials II

Fundamentals and applications of materials science to engineering design: welding metallurgy; deformation and strength behaviour of real materials; failure analysis; fibre reinforced composites; fracture mechanics; fatigue; and creep.
Course Hours: 3 units; (3-3/2)
Prerequisite(s): Mechanical Engineering 421.

Mechanical Engineering 547

Finite Element Method

One- and multi-dimensional problems in linear and steady heat conduction and elasticity. Emphasis on: strong and weak formulation of the boundary value problems (BVP) and their approximation by Galerkin鈥檚 method; fundamentals of finite element interpolation and construction of interpolation functions for a variety of multi-dimensional element shapes; existence and uniqueness of the solution; error estimates; finite element arrays and data structures employed in computer programs; numerical integration techniques; and mesh construction.
Course Hours: 3 units; (3-2)
Prerequisite(s): Mechanical Engineering 479.
Antirequisite(s): Credit for Mechanical Engineering 547 and either 619.01 (The Finite Element Method) or 647 will not be allowed.
Also known as: (Mechanical Engineering 647)

Mechanical Engineering 561

Mechatronics Design Laboratory I

A hands-on laboratory experience in the design and analysis of electro-mechanical components. Introduction to microprocessor-controlled electromechanical systems. Laboratory projects to configure, design, and implement a succession of mechatronic systems. Topics of lectures and labs include aliasing, quantization, electronic feedback, power amplifiers, digital logic, encoder interfacing, and motor control.
Course Hours: 3 units; (1-4)
Prerequisite(s): Mechanical Engineering 461.
Antirequisite(s): Credit for Mechanical Engineering 561 and any of 560, 660 or 661 will not be allowed.
Also known as: (Mechanical Engineering 661)

Mechanical Engineering 562

Mechatronics Design Laboratory II

More sophisticated and in-depth topics in mechatronic systems design explored through laboratory exercises, and complemented by selected lecture topics including practical control aspects of saturation and tuning and machine learning introduction.
Course Hours: 3 units; (1-4)
Prerequisite(s): Mechanical Engineering 561; and Mechanical Engineering 585 or Electrical Engineering 441听
Antirequisite(s): Credit for Mechanical Engineering 562 and any of 560, 660 or 662 will not be allowed.
Also known as: (Mechanical Engineering 662)

Mechanical Engineering 570

Aerodynamics

An introductory course in aerodynamics for engineers. Kinematics and dynamics of viscous and inviscid flow; airfoil dynamics including thin airfoil theory and lifting line theory, finite wings, panel methods and airfoil parameters. Boundary layer theory and boundary layer control as applied in aerodynamics. Introduction to computational fluid dynamics and experimental aerodynamics.
Course Hours: 3 units; (3-2/2)
Prerequisite(s): Mechanical Engineering 495.
Antirequisite(s): Credit for Mechanical Engineering 570 and any of 519.06 (Aerodynamics), 619.31 (Aerodynamics) or 670 will not be allowed.
Also known as: (Mechanical Engineering 670)

Mechanical Engineering 571

Aeroelasticity

Introduction to the interactions between structural dynamics (elastic and inertia forces) and aerodynamic forces. Concepts of static aeroelasticity (lift distribution, divergence and control effectiveness) and dynamic aeroelasticity (flutter) for fixed-wing aircraft. How to derive the equations of motion for complete aeroelastic systems, apply various methods of structural dynamics analysis and perform simplified analysis of static and dynamic aeroelastic phenomena. The elementary methods of incorporating aeroelastic phenomena in aircraft design and the importance of doing so from a practical point of view.
Course Hours: 3 units; (3-1T)
Prerequisite(s): Mechanical Engineering 479.

Mechanical Engineering 572

Computational Fluid Dynamics

An introduction to finite volume and finite element approximations; turbulence modelling, including Reynolds-Averaged Navier-Stokes (RANS), Large Eddy Simulation (LES), and Variational Multi-Scale (VMS) methods; time-marching schemes; linear and non-linear solvers; grid generation and adaptation; post-processing of the solution; and parallel computing (with the focus on MPI).
Course Hours: 3 units; (3-2)
Prerequisite(s): Mechanical Engineering 495.
Antirequisite(s): Credit for Mechanical Engineering 572 and any of 519.04 (Computational Fluid Dynamics), 619.22 (Computational Fluid Dynamics) or 672 will not be allowed.

Mechanical Engineering 573

Design and Manufacturing of Lightweight Structures

Overview of high-performance lightweight materials used in structural applications, namely fibre-reinforced polymer composites. Considerations for material selection, manufacturing, characterization and testing. Failure analysis. Discussion of materials-processing-structure-property relationships. Applications to aerospace fabrication will be discussed. Practical skills to be developed through a laboratory component.
Course Hours: 3 units; (3-3/2)
Prerequisite(s): Manufacturing Engineering 417, Mechanical Engineering 421 and 479.

Mechanical Engineering 574

Propulsion

Introduction to propulsion for aerospace vehicles. Air-breathing and rocket propulsion systems analyzed using principles from thermodynamics, fluid mechanics, heat transfer, and combustion. Individual components such as intakes, compressors, combustors, heat exchangers, turbines, and nozzles will be introduced. Performance parameters, such as thermal and propulsive efficiencies, specific fuel consumption, thrust-to-weight ratio, specific impulse, total impulse, characteristic velocity will be used to assess various propulsion concepts.
Course Hours: 3 units; (3-1T-3/2)
Prerequisite(s): Mechanical Engineering 485 and 495.

Mechanical Engineering 583

Mechanical Systems in Buildings

Fundamentals of heating, ventilating, and air conditioning systems in buildings. Heating and cooling loads. Codes, regulations, and standards. System selection, generation equipment, heat exchangers, distribution and driving systems, terminal units, controls and accessories, and cost estimating. Energy efficiency and renewable energy applications. Elevators and escalators. Lifting devices. Sewage systems.
Course Hours: 3 units; (3-2)
Corequisite(s): Mechanical Engineering 471; and Mechanical Engineering 485 or Energy Engineering 560.

Mechanical Engineering 585

Control Systems

Modelling and dynamic response of physical systems; feedback control; stability; performance specification in the time and frequency domains; root locus plots; Bode and Nyquist plots; Proportional/Integral/Derivative (PID) control and dynamic compensation.
Course Hours: 3 units; (3-1T-3/2)
Prerequisite(s): Mechanical Engineering 461 or Engineering Physics 491.

Mechanical Engineering 587

Continuum Mechanics

Kinematics of deformation, concept of stress, balance of mass, linear momentum, angular momentum and energy. Thermodynamics of continua. Constitutive equations for viscous fluids and nonlinear elastic solids.
Course Hours: 3 units; (3-0)
Prerequisite(s): Mechanical Engineering 479 and 495.
Antirequisite(s): Credit for Mechanical Engineering 587 and 519.09 (Mechanics of Materials II) will not be allowed.

Mechanical Engineering 595

Gas Dynamics

Fundamentals of one-dimensional gas dynamics. Isentropic and non-isentropic flows, applications of dynamical similarity to shock waves. Oblique shocks, supersonic nozzles, flows with friction or heat transfer. Introduction to computational fluid dynamics (CFD).
Course Hours: 3 units; (3-1T-3/2)
Prerequisite(s): Mechanical Engineering 495.

Mechanical Engineering 597

Turbomachinery

Performance of turbomachines, machine selection, Reynolds number and scale effects. Two-dimensional flow in turbomachines, degree of reaction and vector diagrams; flow irreversibilities and loss coefficients; pump, compressor and turbine efficiencies. Design of pumps, fans, centrifugal compressors, axial-flow compressors, and axial-flow turbines. Combination of machines with pipes or ducts.
Course Hours: 3 units; (3-1T-3/2)
Prerequisite(s): Mechanical Engineering 485 and 495.

Mechanical Engineering 599

Vibrations and Machine Dynamics

Linear vibration theory: free and forced vibration of single- and multi- degree-of-freedom systems; damping in machines; vibration absorbers; experimental modal analysis. Balance of rotating machinery: sources of unbalance, rigid rotors, flexible rotors, critical speeds, balancing principles. Lagrange equations: application to mechanical systems.
Course Hours: 3 units; (3-1T-3/2)
Prerequisite(s): Mechanical Engineering 473 or Energy Engineering 460.

Graduate Courses

Mechanical Engineering 602

Advanced Robotics

Review of kinematics and dynamics of serial-link manipulators and the Euler-Lagrange method. Kinematics and dynamics of parallel manipulators. Position, force, and impedance control of manipulators. Lyapunov stability. Feedback linearization. Advanced path and trajectory planning. Redundant manipulators and trajectory optimization.
Course Hours: 3 units; (3-0)
Prerequisite(s): Mechanical Engineering 505.

Mechanical Engineering 603

Physical Fluid Dynamics

Physical phenomena of incompressible fluid motion for a variety of flows, e.g. pipe and channel flow, flow past a cylinder, and convection in horizontal layers. The derivation of the basic equations of fluid mechanics using Cartesian tensor notation. High and low Reynolds number flows including some solutions of the viscous flow equations, inviscid flow, and elementary boundary layer theory. Thermal free convective flows.
Course Hours: 3 units; (3-1T)

Mechanical Engineering 605

Combustion Processes

Review of thermodynamics and chemical kinetics of combustion. Fluid mechanics, heat and mass transfer in combustion phenomena. Autoignition and source ignition, flames and detonation. Quenching and explosion hazards, flammability and detonation limits. Heterogeneous combustion, combustion practical systems, combustion as affecting pollution and efficiency, some experimental combustion methods.
Course Hours: 3 units; (3-0)

Mechanical Engineering 607

Mechanics of Compressible Flow

One-dimensional steady and unsteady motion with application to the analysis of supersonic nozzles, diffusers, flow in conduits with friction, shock tubes. Two-dimensional flow of ideal fluid. Small perturbation theory, method of characteristics with application to design of supersonic nozzles. Waves in two-dimensional flow.
Course Hours: 3 units; (3-0)

Mechanical Engineering 613

Research Seminar I

Students will develop written and oral communication skills required to disseminate their technical research results and to receive formative feedback on performance.
Course Hours: 3 units; (3S-0)
NOT INCLUDED IN GPA

Mechanical Engineering 614

Reliability-based Engineering

Theory and practical implementation of statistics in reliability; Mean time to failure; Availability; Reliability block diagrams; Root cause analysis; Load-strength interference; First-order reliability methods; Time to failure for selected failure mechanisms; System reliability model; Machine learning for reliability engineering and safety.
Course Hours: 3 units; (3-0)

Mechanical Engineering 615

Sensors, Data and Signal Analysis

Basic principles relating to measurement systems and data and signal processing. Measurement system behaviour. Application of probability and statistics to measurement systems. Dynamics and selection of various measuring devices for pressure, temperature, stress and acceleration. Uncertainty analysis. Data acquisition and signal conditioning.
Course Hours: 3 units; (3-3/2)

Mechanical Engineering 616

Environmental Fluid Mechanics

Overview of fluid mechanics fundamentals; Boundary layer theory; Turbulence theory; Turbulent structures; Simulation of environmental flow and transportation of air pollutants; Dynamics of particulates dispersed in gases; Environmental applications (Two-phase flow and particulate removal; Turbulence and dispersion in low atmosphere).
Course Hours: 3 units; (3-0)
Antirequisite(s): Credit for Mechanical Engineering 616 and any of Environmental Engineering 616, 619.11 (Environmental Fluid Mechanics) or Mechanical Engineering 619.06 (Environmental Fluid Mechanics) will not be allowed.

Mechanical Engineering 618

Methods in Uncertainty Quantification and Machine Learning for Scientific Engineering Applications

An introduction to the stochastic modeling of dynamical systems. Methods for the application of stochastic differential equations in various domains including target tracking and mechanical vibrations and their use in parameter estimation, filtering, smoothing, and inverse problems. Introduction to popular methods for machine learning in scientific applications. Main emphasis is put on solution methods rather than analysis and theoretical properties of equations.
Course Hours: 3 units; (3-0)

Mechanical Engineering 619

Special Problems

Designed to provide graduate students, especially at the PhD level, with the opportunity of pursuing advanced studies in particular areas under the direction of a faculty member. Students would be required to consider problems of an advanced nature.
Course Hours: 3 units; (3-0)
MAY BE REPEATED FOR CREDIT

Mechanical Engineering 620

Geomatics Engineering for Pipeline Systems

Provides both the classical basis to geomatics as a powerful tool in the design and management of pipelines as well as the cutting-edge view of the discipline as a digital technology.
Course Hours: 3 units; (3-0)
Antirequisite(s): Credit for Mechanical Engineering 620 and 619.10 (Geomatics Engineering for Pipeline Systems) will not be allowed. 听听

Mechanical Engineering 622

Pump and Compressor Stations

Basic role of pump and compressor stations on a pipeline. Design and performance of centrifugal, screw and reciprocating compressors and centrifugal and positive displacement pumps. Design and performance of drivers including gas turbines, engines and electric motors. Design and functions of auxiliary systems, including bearings and lubrication systems, seals and sealing systems and instrumentation and controls. Design studies for acoustic/mechanical and torsional analysis. Pump and compression station equipment and functions.
Course Hours: 3 units; (3-0)
Antirequisite(s): Credit for Mechanical Engineering 622 and 619.11 (Pump and Compression Stations) will not be allowed. 听听

Mechanical Engineering 624

Fundamentals of Pipeline Economics

Provides students with a fundamental understanding of engineering economics, including decision-making processes and life-cycle assessment in application to pipeline systems.
Course Hours: 3 units; (3-0)
Antirequisite(s): Credit for Mechanical Engineering 624 and 619.12 (Fundamentals Pipeline Economics) will not be allowed.

Mechanical Engineering 626

Corrosion Science in the Pipelines Industry

Overview of corrosion in the pipeline industry with emphasis on the underlying science, including thermodynamics and kinetics of electrochemical processes, corrosion prevention and mitigation by materials selection, inhibition, coatings and cathodic protection. Implications for integrity management will also be discussed.
Course Hours: 3 units; (3-0)
Antirequisite(s): Credit for Mechanical Engineering 626 and 619.16 (Corrosion Science in the Pipelines Industry) will not be allowed. 听听

Mechanical Engineering 628

Pipeline Coatings

Introduction to the fundamental properties and structure of coatings, as well as applications in the pipeline industry. Applications of coating technology in integrity maintenance of the various structural facilities. Computer assisted coatings project management programs will be introduced.
Course Hours: 3 units; (3-0)
Antirequisite(s): Credit for Mechanical Engineering 628 and 619.27 (Pipeline Coatings) will not be allowed

Mechanical Engineering 630

Fundamentals of Liquid Hydraulics in Pipeline Systems

Introduction to the fundamentals of liquid hydraulics in pipeline systems. Topics include petroleum fluids, design elements and economics, mechanical design, fluid mechanics fundamentals, pipeline hydraulics, isothermal flow, pumping requirements, centrifugal and reciprocating pumps, operations and maintenance design, and design optimization.
Course Hours: 3 units; (3-0)
Antirequisite(s): Credit for Mechanical Engineering 630 and 619.49 (Fundamentals of Liquid Hydraulics in Pipeline Systems) will not be allowed. 听听

Mechanical Engineering 631

Numerical Methods for Engineers

Introduction, mathematical modelling, sources of errors in the process of numerical analysis and solution methodology; Elements of numerical analysis, Taylor series, round-off error, truncation error, concept of stability, consistency and convergence; Linear algebra, normal forms, Gauss elimination method, LU-decomposition, tridiagonal systems of equations; iterative methods, Jacobi, Gauss-Seidel, SOR, SSOR methods, conjugate gradient methods and preconditioning and principles of the multi-grid methods; Elliptic "equilibrium" equation, Laplace and Poisson equations, finite difference and finite control volume concepts and stability analysis; Parabolic equations: explicit, implicit and Crank-Nicolson methods, time-splitting method, method of lines, Stability analysis; Hyperbolic equations; Introduction to other methods; future challenging problems.
Course Hours: 3 units; (3-0)
Antirequisite(s): Credit for Mechanical Engineering 631 and Environmental Engineering 625 will not be allowed.

Mechanical Engineering 632

Fundamentals of Gas Hydraulics in Pipeline Systems

Applications of fundamental fluid mechanics concepts to pipelines conveying compressible media (gases). Strategies for describing the gas-dynamics of pipeline systems and networks are developed, as well as the influence of gas properties and pipeline operating characteristics on component selection and operating parameters.
Course Hours: 3 units; (3-0)
Antirequisite(s): Credit for Mechanical Engineering 632 and 619.40 (Fundamentals of Gas Hydraulics in Pipeline Systems) will not be allowed.

Mechanical Engineering 633

Mathematical Techniques for Engineers

Application of mathematical techniques to the solution of ordinary and partial differential equations arising in engineering problems. Methods that will be considered are: separation of variables, method of characteristics, transform methods and complex variable methods.
Course Hours: 3 units; (3-0)

Mechanical Engineering 634

Pipeline Geotechnical Engineering

Introduction to applications of geotechnical engineering in design and construction of oil and gas pipelines. Geohazard assessment and mitigation methods and issues around pipe/soil interaction will be discussed, as well as the relevant codes, standards and industry guidelines for pipelines.
Course Hours: 3 units; (3-0)
Antirequisite(s): Credit for Mechanical Engineering 634 and 619.57 (Pipeline Geotechnical Engineering) will not be allowed.

Mechanical Engineering 636

Structural Analysis of Buried Steel Pipeline Systems

An introduction to stress analysis of buried pipelines through hand calculations, spreadsheets, and stress analysis software. Pipeline code requirements are discussed. Individual practices and industry examples are used.
Course Hours: 3 units; (3-0)
Antirequisite(s): Credit for Mechanical Engineering 636 and 619.67 (Analysis of Buried Steel Pipeline) will not be allowed.

Mechanical Engineering 637

Thermal Systems Analysis

Fundamentals of thermodynamics, fluid mechanics, heat transfer and combustion; Modelling of thermophysical properties; Second law of thermodynamics, concept of entropy generation and exergy analysis; Minimizing environmental impact; Advanced design and analysis of heat exchangers, co-generation, renewable energy systems, and propulsion systems.
Course Hours: 3 units; (3-0)
Antirequisite(s): Credit for Mechanical Engineering 637 and Environmental Engineering 673 will not be allowed.

Mechanical Engineering 639

Numerical Methods for Computational Fluid Dynamics

Review of solution techniques for ordinary differential equations. Stability, consistency and convergence. Order of accuracy. Fourier methods for stability. Numerical techniques for one-, two- and three-dimensional linear parabolic problems. Courant condition. Implicit and semi-implicit schemes. Boundary conditions for parabolic problems. Techniques for linear hyperbolic problems. CFL condition. Characteristics, domain of dependence and domain of influence. Boundary conditions for hyperbolic problems. Non-linear conservation laws. The Burger's equation as a test problem. Strong and weak solutions. Conservative and integral forms. Conservative schemes. Entropy condition. Godunov theorem and flux limiters. Godunov, ENO and TVD schemes. Implementation in gas dynamics.
Course Hours: 3 units; (3-0)

Mechanical Engineering 640

Stress Corrosion Cracking of Materials

Fundamentals of stress corrosion cracking (SCC) of materials and the factors contributing to SCC from environmental, metallurgical and mechanical sources. Various testing techniques to study and/or evaluate SCC will also be discussed.
Course Hours: 3 units; (3-0)
Antirequisite(s): Credit for Mechanical Engineering 640 and 619.90 (Stress Corrosion Crack Behaviour) will not be allowed.

Mechanical Engineering 641

Advanced Control Systems

Introduction to multivariable systems; state space models; analysis of linear systems; stability; Cayley-Hamilton theorem; controllability and observability; state feedback control; pole placement designs; introduction to linear optimal control and estimation; Kalman filtering; separation theorem and duality; performance specifications; controller reduction concepts; introduction to robust control.
Course Hours: 3 units; (3-0)

Mechanical Engineering 642

Construction and Project Management

Construction sequences for large pipe; clearing, grading, trenching, stringing; techniques for smaller pipe and narrower right of way; joining of HDPE; right of way; salvage, automatic welding; ultrasonic and radiographic inspection; record keeping; as built drawings and alignment sheets; hydrostatic testing; purging and commissioning; ground bed installation; cathodic protection.
Course Hours: 1 unit; (12 hours)
Prerequisite(s): Admission to the Graduate Certificate in Pipeline Engineering.

Mechanical Engineering 643

Optimal and Adaptive Control

Discrete time and sampled-data system models and properties; discrete time domain controller design principles; system identification using least-squares analysis; self-tuning control; indirect adaptive control; model reference adaptive control; sliding mode control in continuous and discrete time; optimal design of sliding mode controllers; sensitivity functions and their role in control theoretic performance specification; robust stability and robust performance objectives; Kharitonov stability.
Course Hours: 3 units; (3-0)

Mechanical Engineering 644

Welding and Joining Processes

Welding and joining methods and inspection techniques. Some of welding includes fusion welding (e.g., MIG, TIG, stick welding, SAW) and non-fusion welding (e.g., friction welding). Other joining methods, such as soldering, brazing, adhesives, fasteners, and interference fits. Quality control and inspection techniques for welding (NDE).
Course Hours: 1 unit; (12 hours)
Prerequisite(s): Admission to the Graduate Certificate in Pipeline Engineering.

Mechanical Engineering 647

Finite Element Method

One- and multi-dimensional problems in linear and steady heat conduction and elasticity. Emphasis on: strong and weak formulation of the boundary value problems (BVP) and their approximation by Galerkin鈥檚 method; fundamentals of finite element interpolation and construction of interpolation functions for a variety of multi-dimensional element shapes; existence and uniqueness of the solution; error estimates; finite element arrays and data structures employed in computer programs; numerical integration techniques; and mesh construction.
Course Hours: 3 units; (3-2)
Antirequisite(s): Credit for Mechanical Engineering 647 and either 547 or 619.01 (The Finite Element Method) will not be allowed. 听听

Mechanical Engineering 650

Mobile Robotics

Overview of unmanned vehicles, mobile robot locomotion systems, wheeled rovers, walking machines, mobile-manipulators, mobile robot sensors and actuators, simulation, modelling and analysis of mobile robot behaviour, robot-environment interaction analysis, 2D navigation techniques and localization, mobile robot simulation tools.
Course Hours: 3 units; (3-0)

Mechanical Engineering 653

Advanced Continuum Mechanics

Review of linear algebra: vector spaces, linear maps, tensors; affine spaces: coordinate systems and differential calculus; kinematics of continua: deformation and strain tensors, deformation and strain rates; balance equations: mass, linear momentum, angular momentum, energy; entropy inequality; stress tensors; stress rates; stress power and conjugated stress-strain pairs; constitutive theory: constitutive axioms, hyperelastic solids, perfect and Newtonian fluids.
Course Hours: 3 units; (3-0)
Antirequisite(s): Credit for Mechanical Engineering 653 and 619.32 (Advanced Continuum Mechanics) will not be allowed.

Mechanical Engineering 661

Mechatronics Design Laboratory I

A hands-on laboratory experience in the design and analysis of electro-mechanical components. Introduction to microprocessor-controlled electromechanical systems. Laboratory projects to configure, design, and implement a succession of mechatronic systems. Topics of lectures and labs include aliasing, quantization, electronic feedback, power amplifiers, digital logic, encoder interfacing, and motor control.
Course Hours: 3 units; (1-4)
Antirequisite(s): Credit for Mechanical Engineering 661 and any of 560, 561, 619.47 (Advanced Mechatronics I) or 660 will not be allowed. 听听听

Mechanical Engineering 662

Mechatronics Design Laboratory II

Continuation of Mechanical Engineering 661, involving more sophisticated and in-depth topics in mechatronic systems design explored through laboratory exercises, and complemented by selected lecture topics including practical control aspects of saturation and tuning and machine learning introduction.
Course Hours: 3 units; (1-4)
Antirequisite(s): Credit for Mechanical Engineering 662 and any of 560, 562, 619.48 (Advanced Mechatronics II) or 660 will not be allowed. 听听

Mechanical Engineering 663

Advanced Muscle Mechanics and Physiology

A look at problems associated within muscle mechanics and contractility. Also the use of muscle mechanics as a scientific discipline to critically learn and evaluate the scientific process. Basic anatomy and physiology of muscle contraction including the cross-bridge theory, and the force-length, force-velocity and force-time relationships of actively and passively contracting muscles will also be covered.
Course Hours: 3 units; (3-0)
Prerequisite(s): Consent of the Department.
Antirequisite(s): Credit for Mechanical Engineering 663 and either Kinesiology 663 or Medical Science 663 will not be allowed.

Mechanical Engineering 664

Pipeline Design

Function and types of pipeline systems; gathering, transmission, distribution. Design parameters and procedures: supply and demand considerations; design life; capacity planning; system planning and facilities. Hydraulic design. Mechanical design. Geotechnical design.
Course Hours: 1 unit; (12 hours)
Prerequisite(s): Admission to the Graduate Certificate in Pipeline Engineering.

Mechanical Engineering 665

Advanced Materials Engineering

Covers a variety of material aspects and provides a fundamental understanding of Materials Science and Engineering. Emphasizes the understanding of advanced dislocation theory and its application in illustration of diffusion, deformation and fracture of metals. Fundamentals of material strengthening mechanisms are covered. Practical aspects that are relevant to material uses and failures, such as environmental-induced cracking, creep, fatigue, strain aging and corrosion, are discussed. Typical surface analysis techniques for material characterization are introduced.
Course Hours: 3 units; (3-0)

Mechanical Engineering 667

Fracture Mechanics

Basic fracture theory, failure criteria, overview of fracture mechanics, brittle and ductile failure, crack tip parameters, geometric considerations, methods of analysis, fracture toughness and testing standards. Applications in design, fatigue subcritical crack growth, creep and impact.
Course Hours: 3 units; (3-0)
Antirequisite(s): Credit for Mechanical Engineering 667 and either 619.74 (Failure and Fracture Mechanics Pipeline Industry) or 638 will not be allowed.

Mechanical Engineering 668

Pipeline Economics

Macroeconomics of system supply and demand, open season procedures, optimized sizing, J curves; CAPEX, OPEX, taxation, leasing, depreciation and capital cost allowance, developing revenue requirement, cost of service. Salvage and end of life cost. For utilities Allowance for Funds Used During Construction (AFUDC).
Course Hours: 1 unit; (12 hours)
Prerequisite(s): Admission to the Graduate Certificate in Pipeline Engineering.

Mechanical Engineering 669

Fatigue of Materials

History and origin of fatigue. Stress life, strain life and fracture mechanics approaches. Low and high cycle fatigue. Low and high temperature fatigue. Combined stresses, initiation, and propagation of cracks. Environmental and statistical effects. Testing techniques and variables. Design and specific material behaviour. Mechanisms of fatigue.
Course Hours: 3 units; (3-0)

Mechanical Engineering 670

Aerodynamics

Kinematics and dynamics of viscous and inviscid flow; airfoil dynamics including thin airfoil theory and lifting line theory, finite wings, panel methods and airfoil parameters. Boundary layer theory and boundary layer control as applied in aerodynamics. Introduction to computational fluid dynamics and experimental aerodynamics.
Course Hours: 3 units; (3-2/2)
Antirequisite(s): Credit for Mechanical Engineering 670 and any of 519.06 (Aerodynamics), 570 or 619.31 (Aerodynamics) will not be allowed.
Also known as: (Mechanical Engineering 570)

Mechanical Engineering 672

Computational Fluid Dynamics

Topics include: finite volume and finite element approximations; overview of turbulence models, including Reynolds-Averaged Navier-Stokes (RANS), Large Eddy Simulation (LES), and Variational Multi-Scale (VMS); time-marching schemes; methods to solve system of linear equations (e.g. GMRES, Conjugate Gradient); grid generation and adaptation; and post-processing of the solution using VisIt and ParaView. Also includes an introduction to parallel computing.
Course Hours: 3 units; (3-2)
Antirequisite(s): Credit for Mechanical Engineering 672 and and any of 519.04 (Computational Fluid Dynamics), 572 or 619.22 (Computational Fluid Dynamics) will not be allowed.

Mechanical Engineering 674

Gas and Liquid Hydraulics

Properties of liquids and gases, steady-state, transient, multiphase, pressure drop due to friction, pressure required to transport, liquid pumping and gas compression, valves and flow measurement.
Course Hours: 1 unit; (12 hours)
Prerequisite(s): Admission to the Graduate Certificate in Pipeline Engineering.

Mechanical Engineering 675

Materials Selection and Metallurgy

Fundamentals of physical metallurgy of carbon steels. Principles of steel strengthening. Evolution of pipeline steels. Composition, microstructures and properties of low- and high-grade pipeline steels. Thermo-mechanical controlling processing of high-strength pipeline steels. Performance and failure of pipeline steels in service.
Course Hours: 1 unit; (12 hours)
Prerequisite(s): Admission to the Graduate Certificate in Pipeline Engineering.

Mechanical Engineering 676

Pipeline Stress Analysis

Introduction to the stress analysis and design of buried pipelines. Allowable working stress design and strain-based design. Considerations such as operating pressure/temperature, buoyancy, buckling, and pipe-soil interaction are examined. Pipeline flexibility analysis is explored using both analytical and numerical methods. Mitigation strategies for pipelines are discussed. The pertinent requirements of the current North American pipeline codes are addressed.
Course Hours: 1 unit; (12 hours)
Prerequisite(s): Admission to the Graduate Certificate in Pipeline Engineering.

Mechanical Engineering 677

Geotechnical Aspects in Pipeline Engineering

Soil types and classification, soil testing, soil strength-deformation determination, safe burial depth, ground movement in on-shore and offshore, loading pattern on pipelines, soil-pipe interaction and monitoring (in moving slopes, muskeg, permafrost, seabed, and river crossing), performance assessment of pipelines under different in situ environmental loading, ALA and PRCI design guidelines.
Course Hours: 1 unit; (12 hours)
Prerequisite(s): Admission to the Graduate Certificate in Pipeline Engineering.

Mechanical Engineering 678

Environmental Impact and Regulatory Matters

Examines pipelines as linear assets which cross a wide variety of ecosystems and communities; public concerns about health, safety, archeological and environmental protection, and participation of stakeholders with diverse interests, including First Nations; and the complexity of regulatory processes. Topics include environmental impact assessment, public consultation and roles and responsibility of regulators.
Course Hours: 1 unit; (12 hours)
Prerequisite(s): Admission to the Graduate Certificate in Pipeline Engineering.

Mechanical Engineering 680

Operation and Maintenance

Automation overview, SCADA systems, station control, instrumentation and metering, custody transfer, nominations process, scheduling and batching multi products. Recommended practices for land usage, ROW patrols, pipeline repair: protocols; repair methods; codes and standards; reference technical papers.
Course Hours: 1 unit; (12 hours)
Prerequisite(s): Admission to the Graduate Certificate in Pipeline Engineering.

Mechanical Engineering 682

Automation and Control Systems

The basics of industrial automation and control systems, with an emphasis on their application to the energy industry in the areas of safety and energy savings. The key technologies considered will be programmable logic controllers (PLC), supervisory control and data acquisition (SCADA) systems, and distributed control systems (DCS).
Course Hours: 1 unit; (1-0)
Prerequisite(s): Admission to the Graduate Certificate in Pipeline Engineering.

Mechanical Engineering 683

Applications of 3D Rigid Body Mechanics in Biomechanics

Applications of 3D motion analysis and rigid body mechanics to musculoskeletal system locomotion, and movement. Experimental, theoretical and numerical methods for optical motion imaging, 3D analysis of joint kinematics and kinetics, joint angle representations, prediction of joint forces, data analysis and filtering, error propagation, inverse and forward dynamics approaches, and applications to clinical and orthopaedic engineering.
Course Hours: 3 units; (3-0)

Mechanical Engineering 684

Corrosion, Cracking, and Coatings

Electrochemical principles of corrosion reactions. Internal and external corrosion of buried pipelines. Principle of cathodic protection. Evolution of pipeline coating technology. Coating performance in conjunction with cathodic protection. Failure modes and effect analysis of pipeline coatings. Stress corrosion cracking of pipelines, along with corrosion fatigue and hydrogen-induced cracking of pipeline steels.
Course Hours: 1 unit; (12 hours)
Prerequisite(s): Admission to the Graduate Certificate in Pipeline Engineering.

Mechanical Engineering 685

Biomechanics of Human Movement

Introduction to the measuring methods (accelerometry, goniometry, film and film analysis, video systems) of biomechanical analysis of human movement (force and force distribution). Description of the mechanical properties of bone, tendon, ligaments, cartilage, muscles and soft tissues. The relation between structure and function of biomaterials. Introduction to descriptive analysis of human movement.
Course Hours: 3 units; (3-3)
Prerequisite(s): Consent of the Department.
Antirequisite(s): Credit for Mechanical Engineering 685 and either Kinesiology 685 or Medical Science 685 will not be allowed.听

Mechanical Engineering 686

Integrity Management

Overview and implementation of the integrity management program, threat management, failure mode identification, baseline assessment plan, fitness-for-service assessment using direct assessment and condition monitoring such as inline inspections and pressure testing; defects; defect analysis; risk reduction approaches and corrective actions, upgrading.
Course Hours: 1 unit; (12 hours)
Prerequisite(s): Admission to the Graduate Certificate in Pipeline Engineering.

Mechanical Engineering 688

Pipeline In-Line Inspection Technologies

Traditional in-line inspection (ILI) methods, including ultrasonic, EMAT, and MFL, and non-traditional ILI methods, such as eddy current, INS, and acoustic. Non-piggable lines. Discrepancies between reported vs. actual defects and anomalies.
Course Hours: 1 unit; (12 hours)
Prerequisite(s): Admission to the Graduate Certificate in Pipeline Engineering.

Mechanical Engineering 689

Pipeline Leak Detection Technologies

Computational pipeline monitoring (CPM) methods and external leak detection techniques, such as fiber optic, acoustic, and polymeric composite sensors. The internal leak detection methods include volume balance, rate of changes, real time transient model (RTTM), and negative pressure.
Course Hours: 1 unit; (12 hours)
Prerequisite(s): Admission to the Graduate Certificate in Pipeline Engineering.

Mechanical Engineering 698

Graduate Project

Individual project in the student's area of specialization under the guidance of the student's supervisor. A written proposal, one or more written progress reports, and a final written report are required. An oral presentation is required upon completion of the course.
Course Hours: 6 units; (0-4)
Prerequisite(s): Consent of the Department.

Mechanical Engineering 699

Vibration and Machine Dynamics

Linear vibration theory: free and forced vibration of single- and multi- degree-of-freedom systems; damping in machines; vibration absorbers; experimental modal analysis. Balance of rotating machinery: sources of unbalance, rigid rotors, flexible rotors, critical speeds, balancing principles. Lagrange equations: application to mechanical systems. Signal analysis: time and frequency domain. Introduction to statistical signal analysis. Vibration measurement and analysis for condition monitoring.
Course Hours: 3 units; (3-1T-3/2)
Antirequisite(s): Credit for Mechanical Engineering 699 and 599 will not be allowed.

Mechanical Engineering 708

Turbulence

Provides an overview of turbulence in incompressible flows of Newtonian fluids. Topics include: the nature of turbulence; classical methods of analysis (Reynolds-averaging, spectral representations); the concept of scales; a review of isotropic and homogeneous turbulence; the energy cascade and the role of vorticity in turbulence canonical flows: boundary layers, jets, wakes and mixing layers; modern views of turbulence including coherent motions and inter-scale energy transfer.
Course Hours: 3 units; (4-0)

Mechanical Engineering 713

Research Seminar II

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