Mechanical Engineering, M.Eng.
Mechanical Engineering
Head: Dr. Olanrewaju Ojo
Grad Chair: Dr. Nan Wu
Campus Address/General Office: E2-327 Engineering Bldg
Telephone: 204-474-6540
Fax: 204-275-7507
Email Address: mech.gradprogram@umanitoba.ca
Website: umanitoba.ca/engineering/mechanical
Academic Staff: Please refer to the Mechanical Engineering website for current staff listing.
Mechanical Engineering Program Information
The graduate program in the Department of Mechanical Engineering offers a world-class graduate experience leading to degrees in Doctor of Philosophy, Master of Science and Master of Engineering.
Admission Information
Admission to the Faculty of Graduate Studies
Application and Admission Procedures are found in the Academic Guide.
Admission requirements for Master’s students are found in the Master’s Degrees General Regulations section of the Guide.
Mechanical Engineering M.Eng. Admission Requirements
The Master of Engineering program mainly provides working engineers and internationally trained engineers an opportunity to continue their studies and specialize in an area of interest. Applicants must have a minimum of a B.Sc. degree in Engineering. In exceptional cases, based on the candidate’s professional experience, this requirement may be waived by the department.
Application Information
Students should complete and submit their online application with supporting documentation by the date indicated on the Mechanical Engineering M.Eng. program of study page.
Degree Requirements
The minimum requirement for the award of the M.Eng. degree is 24 credit hours of coursework with at least 9 credit hours at the 7000 level. Of the 24 credit hours, 6 credit hours will be assigned to an approved project and report (GRAD 7050).
All coursework and the project proposal must be approved by the student's advisor. It is the Department’s policy that graduate students shall take no more than 6 credit hours of graduate level courses from one professor.
Expected Time to Graduate: 2 years
Progression Chart
Year 1 | Hours | |
---|---|---|
GRAD 7300 | Research Integrity Tutorial | 0 |
GRAD 7500 | Academic Integrity Tutorial | 0 |
Hours | 0 | |
Years 1-2 | ||
Courses at the 7000 level or higher | 9 | |
Courses at the 3000 or 4000 level or higher | 9 | |
Hours | 18 | |
Year 2 | ||
GRAD 7050 | M.Eng. Project and Report | 6 |
Hours | 6 | |
Total Hours | 24 |
Registration Information
Students should familiarize themselves with the Faculty of Graduate Studies ‘GRAD’ courses applicable to their program. If you have questions about which GRAD course(s) to register in, please consult your home department/unit.
Courses are subject to cancellation if there is insufficient enrolment. Courses with insufficient enrolment may be cancelled the first week of classes. Not all courses will be offered each year — contact the department for courses that will not be offered. All returning and newly admitted students must see an academic advisor or the department head prior to attempting to register.
Regulations
Students must meet the requirements as outlined in both Supplementary Regulation and BFAR documents as approved by Senate.
Supplementary Regulations
Individual units may require specific requirements above and beyond those of the Faculty of Graduate Studies, and students should consult unit supplementary regulations for these specific regulations.
Bona Fide Academic Requirements (BFAR)
Bona Fide Academic Requirements (BFAR) represent the core academic requirements a graduate student must acquire in order to gain, and demonstrate acquisition of, essential knowledge and skills.
All students must successfully complete:
- GRAD 7300 prior to applying to any ethics boards which are appropriate to the student’s research or within the student’s first year, whichever comes first; and
- GRAD 7500 within the first term of registration;
unless these courses have been completed previously, as per Mandatory Academic Integrity Course and Mandatory Research Integrity Online Course.
Students must also meet additional BFAR requirements that may be specified for their program.
General Regulations
All students must:
- maintain a minimum degree grade point average of 3.0 with no grade below C+,
- meet the minimum and not exceed the maximum course requirements, and
- meet the minimum and not exceed the maximum time requirements (in terms of time in program and lapse or expiration of credit of courses).
Courses
Steady and unsteady state heat transfer by conduction, single and multidimensional systems. Conduction with moving boundaries and computer uses of finite difference techniques.
Conservation principles and flux laws. Differential and integral equations of the boundary layer. Momentum and heat transfer for laminar and turbulent flow inside tubes and over external surfaces.
Thermal radiation properties, blackbody radiation, heat exchange by radiation among surfaces in the presence or absence of participating media. Theory and measurement techniques, network methods, solar energy utilization.
Bernoulli's equation, equations of motion, two-dimensional motion, streaming motions, aerofoils, sources and sinks, moving cylinders, theorem of Schwartz and Christoffel, jets and currents.
Helmholtz motions, right linear vortices, waves. stokes stream function, spheres and ellipsoids, solid moving through a fluid, vortex motion, viscosity.
Basic concepts of boundary layer and separation. Navier-Stokes equations, exact solutions. Momentum and energy equations, approximate solutions; boundary layer control, and thermal boundary layers.
Generalized flow relations in rotating machinery, velocity triangles, limitation on work done per stage and Mach number effects, vortex flow, flow in cascades, blade temperatures and stresses, performance of turbomachines.
The formulation of vibration problems using variational principles; matrix formulation of the free and forced vibrations of discrete and continuous systems; the effect of damping; approximate methods for solving the equations of motion; numerical techniques.
Diffusion equations, atomic theory of diffusion, diffusion in dilute alloys, diffusion in a concentration gradient, diffusion in non-metals, high diffusivity paths, thermal diffusion, and electrolysis in solids.
Advanced treatment of phase transformations in solids such as precipitation, eutectoid decomposition, and martensitic reactions.
Topics include the electromechanical basis of corrosion, corrosion prevention by inhibitors, alloying and heat treatment passivity, stress corrosion crackling and fatigue, crack initiation and propagation, solid state chemistry including ionic and electronic conduction, and oxidation of metals and alloys.
Topics selected from recent researches in physical metallurgy and metal physics.
Laboratory course designed to introduce the research student to a wide variety of equipment and techniques useful in metallurgical research, discussion, and laboratory.
Theory and practice of electron microscopy, with emphasis on the application of transmission technique to materials research.
Description of a dislocation; the stress field around a dislocation; forces on a dislocation; dislocation reactions in crystals, dislocation multiplication, pole mechanisms, twinning, stacking fault tetrahedron. Peierls force and related topics; image forces, interactions with point defects and other topics.
The theory of solidification with respect to microstructure and solute distribution. Practical applications such as casting semiconductors and zone refining.
Development and application of statistical theories to isotropic, nonisotropic, and homogeneous turbulent fluid motion.
An extension of MECG 7410 to investigate the specialized problems of turbulence such as space-time correlation functions and spectral transfer in constrained and unconstrained fluid flows.
Topics in kinematics related to normal gait and prosthetic devices; properties of materials used for prostheses; arterial, bone, and composite materials, including design and manufacturing methods.
PR/CR: A minimum grade of C is required unless otherwise indicated.
Prerequisite: ECE 2090 or consent of instructor.
Selected topics in heat transfer based on MECG 7150, MECG 7160, and MECH 7170. Topics will be chosen from the following: conduction with and without internal heat generation, combined mode heat transfer problems, boiling and condensation heat transfer, heat exchanger design, propulsion systems heat transfer problems, special problems in forced, free and mixed convection, and two-phase flow.
A continuation of certain topics of MECG 7460 to include the most recent advances in these areas.
Topics in Aerodynamics.
Lectures and seminars on selected advanced topics in the field of mechanical engineering design.
Mutually Exclusive: ENG 7510
A survey of the physics of crystalline and amorphous polymers, including molecular weight distribution measurements, physics of rubber elasticity, theories of the glass transition, crystallinity measurements, crystallization kinetics, mechanical properties of crystalline and amorphous polymers.
Griffith criterion for crack propagation, stress intensity factors, plasticity effects, experimental methods for evaluation of criteria, J-integral, crack opening displacement. Microscopic aspects, dislocations at the crack tip, cleavage fracture, nil ductility temperature. Fatigue, creep, stress corrosion cracking.
Formulations and algorithms for the following problems, set partitioning, set covering, clustering, location, layout, order picking, vehicle routing, vehicle scheduling. Applications of these problems to planning of manufacturing systems, scheduling of production, systems, materials handling systems and planning for warehouse and storage systems.
PR/CR: A minimum grade of C is required unless otherwise indicated.
Prerequisite: MECH 4760 or consent of instructor.
Basic concepts of microcomputer hardware and software with special emphasis on different manufacturing applications. These include data acquisition and analysis, machine monitoring and diagnostics, process control, robotics, machine tool control, automatic testing and quality control.
The role of digital computers and digital interface equipment in the control and operation of robots. Fundamentals of robot kinematics and coordinate systems. Various robotic sensing systems such as vision, tactile, proximity, ultrasonic. The selection of topics may change from time to time depending on student interest and advances in the field of robotic technology.
PR/CR: A minimum grade of C is required unless otherwise indicated.
Prerequisite: MECH 4840 or consent of instructor.
Selected advanced topics in solid mechanics; e.g., relationship between solid physics and solid mechanics, mechanical properties for static, low- and high-cycle fatigue, failure theories and mechanisms, theory of shell structures, numerical methods, applications.
Principles and mathematical formulation of computer-aided design, manufacturing and database management systems; related topics pertinent to computer integrated design and manufacturing systems.
Lectures and seminars on selected advanced topics in engineering mechanics such as space dynamics, orbital mechanics and kineto-elastodynamics, current problems, implications in current research.
Single and multiphase flow in porous media. Porosity, permeability, capillary pressure, relative permeability, electrical properties.
An extension of MECG 7790 to allow investigation of special topics; e.g., computational methods, experimental techniques, mixed transport phenomena (diffusion/dispersion, conductive/convective heat transfer), advanced concepts, etc.
An introduction to the solution of thermofluids problems. Computational techniques (finite difference, finite element, boundary element). Modelling of turbulent flow. Spectral methods.
Topics may include: Models and Model Building. Mathematical Models: analytical solutions, numerical solutions, steady-state solutions. Modeling techniques: state models, linear graphs, bond graphs, transfer functions, large-scale models, linear vs nonlinear models. Simulation of Systems (discrete/continuous) on digital computers; numerical operations and algorithms. Simulation Languages (discrete/continuous) applied to analysis and design of dynamic and control systems, or, services and manufacturing systems.
PR/CR: A minimum grade of C is required unless otherwise indicated.
Prerequisite: consent of instructor.
Weighted Residuals, Boundary versus Finite Element Method, Conventional and Special elements, Equality and Inequality Constraints, Error Estimates, Self-adaptive Techniques and Mixed Formulations.
PR/CR: A minimum grade of C is required unless otherwise indicated.
Prerequisites: CIVL 4240 or instructor approval.
Lectures and seminars on selected advanced topics in the field of systems and control that include mechanical systems, dynamics, control theory and mechatronics.
Seminar presentation and discussion of current research topics in mechanical, industrial and materials engineering research.
Seminar presentation and discussion of current research topics in mechanical, industrial and materials engineering research.
Definitions and classification. Kinematics: transformations, forward and inverse kinematic solution methods, differential kinematic equations, motion trajectories. Dynamics: energy method vs. Newton-Euler formulation. Actuators; electric, hydraulics and pneumatics. Control: requirement and methods for control of robots and teleoperators.
PR/CR: A minimum grade of C is required unless otherwise indicated.
Prerequisites: MECH 3430, MECH 3480 or equivalent.
Brief overview of composites; constituents; properties; processing and application; micro-mechanics of reinforcement; elastic behaviour of unidirectional lamina; strength of unidirectional lamina; elastic behaviour of multi-directional laminates; stress and failure analysis of multidirectional laminates; hygrothermal effects and durability; introduction to textile composites.
Topics may include (i) Modelling of Constrained Dynamic Systems, including derivation of dynamic equations for constrained systems using Lagrangian equations and/or Newton-Euler equations; (ii) Advanced Stability Theories, including construction of Lyapunov functions and Lyapunov's stability control; and (iii) Introduction to Analysis of Non-smooth Systems, including Filippov's solution analysis and extended Lyapunov's stability theory to non-smooth systems. Applications to computer modelling of bipedal locomotion, analysis of robotic contact tasks and stability analysis of power systems will be addressed.
Topics will be chosen from: Review of fluid mechanics, combustion and turbulence theory; role of experiments; conventional measurement methods for temperature, pressure and velocity; laser-based techniques for local and global velocity measurements (Laser Doppler Anemometry (LDA), Phase-Doppler Anemometry (PDA), Particle Image Velocimetry (PIV)); other laser-based techniques for imaging and concentration measurements in reacting and non-reacting single and two-phase flows.
Will address techniques that can assist North American manufacturing and improve productivity in the global market place in the 21st century. Topics include: productivity techniques, quality, cost, manufacturing control and other pertinent issues.