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Mechanical Engineering (ME)

35 courses in the 1969–70 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.

Notes

Department of Mechanical Engineering

Faculty listed in 1969–70

Professor T.A. Brzustowski. B.A..%. (Toronto), A.M.. Ph.D. (Princeton) Chairman of the Department Professor S.A. Alpay, Dipl. Ing.. Dr. Ing. (Berlin) Professor D.J. Burns, B.S.. Ph.D. (Bristol) Professor G.T. Csanady. Dipl. Ing. (Munich). Ph.D. (New South Wales) Professor H.L. Evans, M.Sc.(Wales), D.I.C... Ph.D. (London) Professor M.J. Hillier, B.Se.(Eng.),B.Sc.(Gen.) /London). D.I.C.. M.S. (Eng.} (London/ Professor E.L. Holmes, B.Sc. (Bristol/ M.A.Sc., Ph.D. /Toronto) Associate Dean of the Faculty of Engineering Professor G.F. Pearce, B.A.Sc. (British Columbia), M.A.Sc. (Toronto) Associate Professor E. Brundrett, B.S.A. (O.A.C.) B.A.Sc.,M.A.Sc., Ph.D. (Toronto) Associate Professor M.B. Danard, B.A.Sc. (British Columbia). M.A. (Toronto), Ph.D. (Chicago) Associate Professor D.C. Ferguson, B.A.Sc. (Toronto/ Associate Professor D. French, B.Sc., C.Eng. Associate Professor A.M. Hale, B.Sc., M.A. (New Brunswick), B.A.Sc. (Toronto), M.A.Sc. Ph.D. (Waterloo) Associate Professor C.E. Hermance, B.E. (Yale), M.A.. M.S.E.. Ph.D. (Princeton) Associate Professor J.H.G. Howard, B.Sc. (Queen’s), M.Sc., Ph.D. (Birmingham) Associate Chairman of the Department Associate Professor W.B. Nicoll, S.M. (M.1.T.) Engineer (Stanford) Ph.D. (London) Associate Professor P. Niessen, B.Sc.{McMaster),M.A.Sc., Ph.D. (Toronto) Associate Professor K.R. Piekarski, Dipl. Ing. (London) Ph.D. (Cambridge) Associate Professor A. Plumtree, B.Sc., Ph.D. (Nottingham/ Associate Professor R.F. Scrutton, B.Sc.,M.Sc. (Melbourne) Associate Professor D.M.R. Taplin, A.C. T. {Hons.),B.Sc.{ Aston) D. Phil. (Oxford) Associate Professor M.M. Yovanovich, B.Sc. (Queen’s) M.S. (Buf.) M.E.. Sc.D(M.1.T.) Assistant Professor G.M. Bragg, B.A.Sc. (Toronto), Ph.D. (Cambridge) Assistant Professor R.N. Dubey, B.Sc.(Hons.) (Patna), B.Sc. (Eng.) (Bihar) Ph.D. (Waterloo) Assistant Professor H.W. Kerr, B.A.Sc., Ph.D. (Toronto) Assistant Professor T.A. Ledwell, B.Eng., M.Eng. (Nova Scotia) Ph.D. (Waterloo) Assistant Professor W.K. Luk, D.I.C. (London), (Dipl. of Hong Kong Tech. College) Ph.D. (Waterloo) Assistant Professor G.D. Raithby, B.E.Sc.,M.E.Sc. (Western), Ph.D. (Minnesota), Assistant Professor P.R. Slawson, B.A.Sc.,M.A.Sc., Ph.D. (Waterloo) Assistant Professor A.B. Strong, B.A.Sc. (Waterloo), M.Sc. (Imperial College. London).

Ph.D. (Waterloo) Assistant Professor H.F. Sullivan, B.A.Sc. (Waterloo). A.M., Ph.D. (Princeton)

Assistant Professor T.M.L. Wigley. B.Sc.,B.Sc. (Hons. Math & Phys.) Ph.D. (Adelaide) Lecturer K.G. Adams, B.Sc. (Queen’s), M.A.Sc. (Waterloo) Lecturer G.C. Andrews, B.A.Sc.,M.A.Sc., (British Columbia) Lecturer J.D. Malcolm, B.A.Sc.,M.A.Sc. (Waterloo) Lecturer R.J. Pick, B.A.Sc. (British Columbia), M.S. (Imperial College London) Lecturer A.B. Thornton-Trump, B.A.Sc. (British Columbia), M.A.Sc. (Waterloo) Special Lecturer C.J. Beingessner, B.Sc.,M.A.Sc., Ph.D. (Toronto) Special Lecturer R.G.R. Lawrence, Q.C. Laboratory Director J.R. Cook, B.Sc. (Mt. Allison) Research Associate R. Skarecky, Ing. (Prague), C.Sc. (Brno)

Department of Mechanical Engineering

Undergraduate Programmes

Details of the undergraduate programme in Mechanical Engineering are to be found on page 67. All courses extend over one term only, and consist of 3 hours of lectures per week unless otherwise specified. The hours of the core courses are listed on page 68.

The only prerequisites are the core courses. unless otherwise specified.

Undergraduate Course Descriptions

13 Kinematics A basic course in kinematics emphasizing the creative approach. Uni-

form rotary motion including rolling cylinders, gears and the synthesis of gear trains including planetaries. Non-uniform motion including cams, gears and linkages. Programming non-uniform motion and the synthesis of cam mechanisms, non-circular gear trains and linkages.

21 Mechanics of Machinery The effects of dynamic forces in machines; introduction to mechanical

22 Mechanical Design 1

vibration. Transient forces. Static force analysis, dynamic force analysis, balancing, cam dynamics, dynamics of feedback systems. Prerequisite: ME 13.

2 lectures. 3 hours laboratory.

Analysis and synthesis of machine elements. Factors affecting working stresses, fatigue, creep and impact considerations. Design of shafting, springs, screws, clutches, brakes and gears.

Prerequisite ME 21.

2 lectures. 2 hours laboratory.

23 Mechanical Design 2 Principles of optimum design of machine elements; minimum cost, min-

imum weight, maximum power, etc. Statistical considerations in factors of safety and tolerances. Effect of manufactring errors on product performance.

Prerequisite: ME 22.

24 Advanced Dynamics A second course in engineering dynamics. Topics: rocket and space

25 Mechanical Vibrations in Machines

26 Mechanical Design 3— Human Factors Engineering

27 Mechanics of D eformable Solids 3

31 Physical Metallurgy 1

dynamics, inertia fensor and Euler’s Equations, energy methods, gyroscopic motion, generalized co-ordinates and Lagrange Equations, vibrations.

Fundamentals of mechanical vibration. Forced, transient and non-linear vibrations. Numerical methods for multi-degree-of-freedom systems. Continuous systems. Vibration isolation. Measurements of vibration. Use of models and the analogue computer.

The problems of incorporating human beings into engineering systems. The topics discussed are: the human visual, auditory and musculoskeletal system, multiple sensory inputs, man-machine dynamics, environmental factors, human stress, group dynamics, and work-place design; the evaluation and testing of man-machine systems.

Analysis of stress and strain in three dimensions, plastic stress-strain relations, stress and strain concentration, residual stress, thermal stress and creep, creep and fatigue under combined stress, fatigue crack propagation, brittle fracture, fracture mechanics.

Nucleation and erowth in metals. Diffusion and sinterinoe Fundamental

32 Physical Metallurgy 2

33 Materials Science Laboratories

ME 34-Properties of Polymers

37 Ceramics

41 Manufacturing Science 1

42 Manufacturing Science 3

43 Manufacturing Science 4

44 Manufacturing Science 5

Department of Mechanical Engineering 275

and ternary eutectic phases. Non-equilibria in metal systems. Surface phenomena. Corrosion and oxidation in metals. 2 lectures.

Elasticity and plasticity of metals. Recovery, recrystallization and grain growth. Hardening mechanisms. Heat treatment of metals and alloys. Shear transformations. Failure in metals.

2 lectures.

This course is designed to acquaint students with the experimental methods techniques in Materials Science. For the initial part, the students will be required to perform assigned experiments which demonstrate common physical phenomena in Materials Science. For the remainder of the course, each student will be allowed to work on a small experimental project of his own choice which has been approved by the instructor.

3 hours laboratory.

Introductory survey of the organic chemistry of polymers. Morphology of amorphous and crystalline polymers. Rheological and structural models of the behaviour of polymers under load. The effects of environmental variables on the mechanical properties of polymers. Reinforced polymers. Adhesives. Electrical and optical properties of polymers.

The crystallography of ionic and co-valent compounds. A study of the mechanical properties of single crystals and polycrystals. Properties of special ceramic materials.

Models of a plastically deforming metal; yield and flow. Analysis and mechanics of mechanical working operations. Patterns of flow, limiting factors; force, instability and temperature. Influence of processes on work-piece properties. Applications to forging, drawing, extrusion, rolling, sheet-drawing and deep drawing. Modern developments: high velocity forming; chemical, electro-magnetic and spark discharge methods.

Mechanics of metal cutting operations. Geometrical force and energy analysis of single and multipoint tools, rotary cutters and grinding. Modern developments: electrochemical, spark discharge and ultrasonic methods. Machining economics.

Moulding from the liquid state. Review of applicable heat transfer and fluid flow theory. Influence of time in casting. Solidification time, freezing waves and riser design. Pouring time, fluidity, gating and running. Hot tears, distortion, shrinkage and residual stresses. Die casting; thermal balance, thermal stability, pressure pulse effects. Other casting methods.

Welding. Temperature distributions. Phase changes and _ solidification. Segregation, heterogeneity and weldability. Thermal and residual stresses. Residual plastic distortions and their occurrence in welded structures. Physics of the welding arc. Welding codes and industrial practice. Design of welded structures. Resistance welding. Fracture mechanics and failure of welds. Weld testing and non-destructive testing procedures.

Department of Mechanical Engineering

45 Manufacturing Seience 6 Manufacturing for design engineers. Classification of processes. Influ-

ME 46-Manuafacturing Science 7

49 Metrology

53 Heat Transfer 1

54 Thermodynamics 2

55 Thermodynamics

ence of choice of materials on processes and of choice of processes on design. Process limitations; tolerances; influence of scale of manufacture. Economic considerations.

Interactions of design and manufacturing functions. Information flow, data specification.

Introduction to polymer processing for mechanical engineers. Elements of polymer science; plastics as a design material. Screw extrusion; ele-

ments of non-newtonian flow and viscometry. Injection moulding. Parameters of polymer conversion operations and their estimation.

Theory and practice of high precision mechanic measurements under strict control conditions-super micrometry; measurements by comparators; profilometry; surfacegrofilography; environmental effects on measurements accuracy; theodolite techniques in the measurements of large structures; collimator applications in machine installation. Tolerances and quality control.

Introduction to heat transfer mechanisms. The formulation and_ solution of steady and transient heat conduction. Radiant heat transfer including exchange laws and view factors. Introductory convective heat transfer.

Emphasis on applications of thermodynamics to flow processes, real fluids, evaluation of state functions of real fluids. Thermodynamic analysis of selected devices.

3 Chemical equilibrium, multiconstituent fluid phases, additional topics in statistical thermodynamics, introduction to thermodynamics of irreversible processes.

Prerequisite: ME 54

56 Heat Transfer 2 Forced and free laminar and turbulent convection heat transfer in inter-

57 Combustion 1

nal and external flows. Special topics selected from current applications.

Phenomenological description of flames of various types, flashback, blow off, inflammability limits, premixed flames, diffusion flames, burner design, flame holding, laminar flame theory, quasi-steady droplet burning theory.

58 Internal Combustion Engines Reciprocating SI and Cl engines, gas turbines, jets, rockets.

Prerequisite: ME 54

59 Energy Conversion Steam power plants (conventional and nuclear), batteries, fuel cells, so-

lar cells, thermionic conversion, thermoelectric conversion, MHD _ generators. Prerequisite: ME 54

ME 60-System Dynamics Dynamic modelling by lumped elements of physical systems involving an4 Controls the storage and transfer of matter and energy. Unified treatment of

mechanical, electrical, fluid and thermal systems and components. Generalized describing equations and solutions for lumped ideal elements. Operational notations, control and feedback systems. System response, characteristic and transfer functions. Introduction to stability in control systems and to fluidic systems.

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ME 61-Fluid Control Systems 1 Analysis of fluid properties and fluid flow as they apply to the design and application of components comprising the fluid system. Proportional, integral, derivative and hybrid type fluid control systems. Theory of energy transducers in fluid control systems. Performance characteristics of various types of pumps and fluid motor units. Diagramatic representation of their control functions.

62 Fluid Mechanics 2 Ideal fluids, Euler’s equations, integration along a streamline, continuity, stream function. Irrotational motion, source and sink potential, rectilinear vortex. Circulation, lift, Kutta-Joukowski theorem. Vortex motion, Helmholtz theorems, Biot-Savart law. Boundary layers in laminar flow, displacement and momentum thickness, momentum integral. boundary layer development. Introduction to turbomachinery, dimensional analysis and momentum principles.

63 Turbomachines Performance characteristics, laws of modelling, classification and selection of turbomachines. Cavitation, suction specific speed. Compressible fluids, small stage efficiency, Laval nozzles. Energy transfer in pumps, compressors, and turbines. Cascade mechanics, blade design by thin airfoil theory. Three dimensional effects, energy losses.

64 Industrial Aerodynamics Flow in ducts, furnaces, heat exchangers, reactors, etc. Air movements in and around buildings, wind loads. Cyclones and electrostatic dust precipitators, chimneys and chimney plumes. Atmospheric dispersion of pollutants.

65 Gas Dynamics 1 Basic laws and concepts governing compressible fluid flow. Conservation laws. Lawg of thermodynamics. Mach number. One-dimensional isentropic flow. Subsonic and supersonic flows. Flow through nozzles. Choking. Convergent-divergent nozzles. Normal shocks. Measurements of pressure, temperature, mass flow. Supersonic pitot tube. Oblique plane shocks and expansion waves. Duct flows.

66 Turbulent Flow 1 Reynolds stresses, intensity and scale of turbulence. The “law of the wall,” logarithmic velocity profile and velocity defect laws, effects of roughness. Pressure loss in pipes and conduits. Jets and wakes. Atmospheric turbulence, effect of density stratification.

67 ‘Aerodynamics of Flight Airfoils in three dimensions, lifting surfaces. Aerodynamic interference of aircraft components. Stability and control of aeroplanes, missiles, etc. in flight at low and high speeds. Response of aircraft to turbulence.

68 Acoustics Plane waves in air, sound intensity. Waves in three dimensions, monopole and multipole sources. Interference patterns, diffraction, acoustic impedance. Propagation of sound in the atmosphere and in the ocean. Reflection and absorption of sound waves. Physiological and architectural acoustics. Acoustical measuring instruments.

ME 69-Introduction to the Composition and structure of the atmosphere and oceans. Thermody- Environmental Sciences namics of moist air. Hydrostatic equation. Stability. Cloud physics. Winds and Currents on a Rotating Earth. Gradient, geostrophic and inertial flow. Solar and terrestrial radiation. Heat budget and general circulation of the Earth. Electrical and optical phenomena.

ME 70-Geophysical Fluid Equations of motion on a rotating earth, geostrophic balance. Vertical Dvnamics 1 vanation of wind and pressure fields in the atmosphere barotrooic and

* 278 Department of Mechanical Engineering

baroclinic ocean currents, mechanisms of pressure change. Vorticity equation.

81 Seminar Designed to give the student personal experience in oral presentation of technical information. Also provides an opportunity for students to attend seminars on topics of interest presented by recognized workers in the field.

I hour.

82 Mechanical Engineering Engineering assignments requiring the student to demonstrate initiative

Projects and assume responsibility. Student activity is guided and co-ordinated by faculty supervisor. In selecting projects, particular account is taken

of the student’s field of specialization. Projects, in general, involve technical disciplines beyond the strictly mechanical engineering field. 9 hours laboratory.

ME 90-Engineering Physics Physical optics; waves as energy carriers, interference and diffraction. Quantum theory of radiation; photons, empirical spectroscopy, de Broglie waves, atomic structure, energy quantization, absorption and radiation by atoms and molecules. Nuclear physics; nuclear structure, binding energy, nuclear reactions. Solid state physics; statistical distribution laws, molecular binding, band theory.

ME 100-Introductory The rights and responsibilities of the engineer as a citizen of Ontario Survey of Law and Canada under the law: brief histroy of Canadian law diierentiating between Civil and Criminal Law, the rights and duties of citizens and police, a review of Domestic Law, Real Estate Law, Landlord and Tenant Law. The law as it may pertain to the engineer in his profession, brief reviews of the Law of Contracts, Patents, Trade marks, industrial design, and copy-right, Bills of Exchange, Company Law, incorporation of companies, Common and Preferred shares, the Law of Master and Servant, surveying law, Constitutional Law, Private International Law, and other topics.

Graduate and Research Programmes

To be admitted to graduate studies in the Department of Mechanical Engineering, an applicant must have an excellent academic record from a recognized university, and must possess maturity and self-motivation. Furthermore, since close technical contact with a faculty member is an essential part of graduate education in engineering, no applicant can be admitted unless a faculty supervisor who specializes in the applicant’s desired area of research offers his a place in his research group. It is therefore important that the applicant indicate clearly in his application the area of research in which he wishes to be engaged. Active fields of research in which students may at present be accepted are listed and described in the calendar, and the departmental brochure. It must be kept in mind, however, that the list is only intended as a guide since new topics are added frequently as the sphere of interest of the department expands.

A. Master's Degree The core of the Master’s degree is a thesis whose content shall indicate a high level of scholarly research by the student into a topic related to his faculty supervisor’s area of research. Pursuit of the thesis will involve the student in an experimental or theoretical research programme or possibly a combination of both. Wherever possible the faculty member will attempt to arrange financial assistance for the student from his re-

Department of Mechanical Engineering 279

It is therefore essential that applications be complete by March ] at the latest.

Candidates registered for an M.A.Sc. degree will be requested to give advance notice of their intention to submit a thesis, approximately three months before the estimated date of submission. At this time an assessor will be appointed to aid the candidate’s supervisor in evaluating the thesis. In most cases the assessor would be a member of the mechanical engineering department, except where some interdisciplinary research is involved.

The requirements for the award of a Master’s degree are: a) that the candidate obtains a pass in all prescribed subjects, comprising at least four one-semester courses of which two or more must be graduate courses, with an average of 66% or better: b) that his thesis be accepted. In certain special cases the thesis requirement may be satisfied by four additional one-semester courses and a reasearch project of limited scope, requiring a formal report.

B.The Doctor of Philosophy This degree is awarded after the candidate has satisfied his supervising Degree committee that his thesis is a substantial original contribution to knowl-

edge and has also demonstrated a high degree of competence in areas of knowledge related to his specialization. The candidate will, to this latter end, take lectures and sit for examinations in a number of courses offered at the graduate level, according to a programme of studies approved by his supervising committee. Approximately at the end of his first year of residence as a Ph. D. candidate a comprehensive oral examination is administered by his supervising committee.

Faculty listed in 1969–70

The mechanics of thesis topics selection is very much as described above. Students continuing for a Ph.D., after obtaining the M.A.Sc. at Waterloo, may often continue to work in the same area of specialization.

In order to be admitted to graduate study as a Ph.D. candidate an applicant must have demonstrated his ability to do original research in the course of his Master’s degree work. For this reason, should a graduate with a Master’s degree obtained without producing a research thesis desire to enter out Ph.D. programme, he would have to satisfy the Department that he is able to carry out independent research.

The supervising committee consists of the supervisor and four other members appointed on the advice of the supervisor. One of these is appointed from outside the university, another one from outside the department (often from Mathematics or Physics.)

Comprehensive Examination The comprehensive examination should be conducted about one year, but in any case not later than 18 months, after the student has been admitted to the Ph.D. programme. In preparation for this examination the candidate will submit a written research proposal of between 2000 and 4000 words describing his problem and outlining his proposed method of attack. This proposal must be circulated to the members of the supervising committee not less than two weeks before the examination. The supervising committee, on the advice of the candidate’s supervisor, should examine: (a) The adequacy of the course of study being undertaken, (b) The performance of the student during his first year both in the coursework and in his research studies, (c) The proposal for a research programme as presented by the student and (d) His competence in being able to complete the work to the satisfaction of the committee. The main decision to be reached is whether the candidate

should proceed with the work, but advice about taking additional graduate courses or ahaut chanaina tha amnhasia ia hin on----- Low 28

280 § Language Requirements Examination of the thesis

Department of Mechanical Engineering

The candidate must have an adequate knowledge of at least one foreign language as specified by the department. This requirement may be fulfilled either by direct language examination or by the completion of an approved language course with a final grade considered to be satisfactory. When the native tongue of a student is not English, its knowledge is nor normally acceptable as satisfying the foreign language requirements, except when the native tongue is French, German or Russian.

Regulations governing the submission and examination of the Ph.D. thesis are found in the section on “Graduate Studies” in the first part of the Calendar.

Graduate Course Descriptions

All courses listed consist of three lectures per week for one term, unless otherwise specified. Courses numbered in the 600’s are given regularly. Courses numbered in the 700’s are given only by special arrangement.

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ME 605 Kinematics 625-Experimental Mechanics

2 An extension of ME 13. Computing mechanisms, space mechanisms. Use of computers in synthesis and analysis. Four-bar linkage, coupler curves, path curvature. Euler-Savary equation, polode curvature. Nu-. merical and graphical methods. Five-bar linkages.

Experimental methods of static and dynamic stress analysis: strain gauges brittle coatings, photo-elasticity, moire fringes, analogues. Selected related topics: flaw detection, vibration measurement, use of statistical methods, error analysis and curve fitting.

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ME 626 Creep, Fatigue and Brittle Fracture 631-Fluid Cwtrol Systems 2

Review of test and design procedures. Creep under combined stress, creep buckling, thermal and high strain fatigue, fatigue life distributions, cumulative damage, fracture mechanics analysis of fatigue crack propagation and brittle fracture, transition temperature and _ brittle crack arrest.

Energy conversion and transmission in hydraulic and pneumatic control systems. Unsteady flow with elastic energy storage. Dynamic response characteristics of fluid transmission lines with distributed mass and compliance. Lumped-parameter approximation. Comparative analysis between hydraulic and pneumatic control operations. Electra-hydraulic and electro-pneumatic activation. Non-linear effects in hydraulic systems with inertial loading.

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ME 636 Materials Science Seminars

The student will be responsible for the formal presentation of two seminars and will be. obliged to attend all the seminars given in this course. One seminar will be given weekly.

Examination

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ME 638 Physical of Materials

This course is designed as an introduction to the fundamentals of Metallography, special optical techniques. X-Ray Microscopy and Microanalysis.

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ME 641 Mechanical Metallurgy

Principal Topics: Stress-strain relationships in tension, compression shear and torsion. Elastic and plastic properties of single and poly-crystals. Fracture. Internal friction. Applications to materials testing.

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ME 643 Manufacturing Science

2 The classical theory of plasticity, with particular reference to forming processes. Elements of tensors, stress, strain, yield and flow; strain-

Department of Mechanical Engineering

Impact and instability effects. Limiting conditions in forming operations. Time rate and temperature effects. Approximate technological theories; residual stresses.

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ME 647 Manufacturing Science 8

Polymer processing. Review of applicable heat-transfer and fluid flow theory. Elements of polymer science and rheology. Introduction to Cartesian tensors; application to non-newtonian flow. Viscometry. Influence of time in moulding. Screw extrusion, injection moulding, vacuum forming and film operations.

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ME 655 Combustion 2

Structure and physics of monatomic and polyatomic molecules, spectroscopy-visible and infra-red, gas chromatography, statistical calculation of thermodynamic properties of molecules, bond energies and heats of formation, elements of kinetic theory of gases, elementary chemical kinetics, ionization and relaxation effects in gases, radiation from flames.

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ME 656 Combustion 3

The theoretical description of common combustion processes such as laminar and turbulent premixed and diffusion flames, modelling of combustion processes, theory of ignition of solids and liquids, combustion instability, combustion in jet engines liquid propellant rockets, solid propellant rockets.

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ME 662 Laminar Flow

Use of tensor notation, Navier-Stokes and continuity equations, some exact solutions. Two dimensional boundary layer theory, laminar flow along Rat walls and in “equilibrium” layers (Falkner-Skan equation) some approximate methods for non-equilibrium layers. Equations of motion with buoyancy term, energy equation, Reynolds analogy. The origin of turbulence, Orr-Sommerfeld equation, Tollmien-Schlichting waves.

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ME 664 Turbulent Flow 2

correlation coefficients, Stochastic concepts, averages, auto-correlation functions, spectra. Space and time “scales” of turbulent fluctuations, energy dissipation in turbulence. Correlation and spectral tensors in three dimensions, isotropic forms. Equations of motion, spectral equation for isotropic turbulence. Universal equilibrium theory, the Kolmogoroff spectrum. Diffusion by continuous movements, “absolute” and “relative” diffusion. Brief treatment of turbulence in shear flow.

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ME 665 Gas Dynamics 2

Subsonic flows in two and three dimensions. Hodograph method. Supersonic flow in two dimensions with small perturbations. Airfoil design. Method of characteristics. Design of nozzles and diffusers. Linearized theory of hypersonic flow. Methods as applied to transonic flow.

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ME 666 Wave Phenomena in Fluid Flow

Fundamental properties of “wave-like” motions in fluids, tidal waves in one-dimensional channels. Surface waves in deep water, phase velocity. dispersion relationship, group velocity. The equations of acoustics, “near field” and “far field” problems, ray theory. Wave propagation in 1-2 and 3 dimensions, in layered and in moving media. Gravity waves in stratified fluids. Second and higher order interactions, radiation stress.

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ME 667 Boundary Layer Theory

Review of elementary boundary layer theory in laminar and turbulent flow. The development of turbulent boundary layers in arbitrary pressure gradients, application to internal and external flows. Boundary layers on axisymmetric bodies, three-dimensional or “skewed” boundary layers. Heat and mass transfer through boundary layers, effect of material pronerties an haundary laver hehaviaur

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ME 282 668-Geophysical Fluid Dynamics If

Department of Mechanical Engineering

Steady horizontal motion in infinite fluids and in closed basins. Westward intensification, coastal jets in stratified fluids. Turbulent Ekman layers. Seiches in closed basins. internal waves in stratified fluids. Rossby waves. Motion under unstable stratification, the Rayleigh problem, Benard cells, turbulent thermals and plumes.

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ME 669 Numerical Studies in Geophysical Fluid Dynamics

Numerical methods, time integration of hydrodynamical equations of motion on a rotating earth, numerical weather prediction, computation of selected other physical processes in the atmosphere (e.g. long-wave radiation).

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ME 720 Evaluation of Mechanical Systems and Design

The testing and evaluation of mechanical systems. Product characteristics, reliability and long-life design. Hazards and safety consideration. Shock and vibration, environmental testing. Value engineering.

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ME 721 Mechanical Systems Analysis and Synthesis

Analogs and models. Computers as a design tool. Design decision logic. design equations. Optimization. Legal restrictions, planning, economic considerations and decisions.

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ME 731 Fluidic Control Systems

Characteristics of fluidic logic devices. The correlation between the structure of flow in a fluidic element and its logic function. Fundamentals of Boolean algebra, switching circuits, logic functions and fluid implementation of logic circuits. Synthesis of Fluidic Control Systems and analysis of fluid network. Identification methods of fluidic functions. Analog fluid control systems.

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ME 733 Fluid Modulators and Amplifiers

Valve configuration and valve controlled drive. Pressure-flow characteristics in hydraulic and pneumatic valves at constant pressure or at constant flow rate. Operating forces in steady state: axial and lateral. Transient forces and valve stability. Binding effects and cavitation in spool valves. Jet-pipe valves. Analytical background of design considerations. Pure and hybrid fluid modulation and amplifying elements.

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ME 734 Seminar in Fluid Control Systems

Study, investigation and discussion under the supervision of a faculty member, of current literature and research papers in fluid control systems presented in recent conferences and meetings.

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ME 737 Phase Transformations

Phase diagrams, homogeneous and heterogeneous, nucleation, diffusion, phase changes in metals and alloys. Diffusional growth processes, diffusional and shear transformations.

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ME 739 Dislocation Theory

Description of simple and extended dislocations. Stress, strain and energy associated with single dislocations. Forces on and between dislocations. Dislocationdislocation interactions cross slip and multiplication. Interactions with point defects. Applications in grain boundary theory.

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ME 740 Thermodynamics of Solids

This course will deal with the atomistic and thermodynamic interpretation of the fundamental properties of solids such as diffusion, solidification, surface properties and equilibrium in multicomponent systems.

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ME 751 Conduction Heat Transfer

Steady and transient heat conduction in isotropic media. Conduction in flowing media. Conduction in stagnant films with mass transfer, Heat conduction with phase change and moving boundaries. Problems of heat conduction in anisotropic media.

Department of Mechanical Engineering

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ME 753 Radiation H eat Transfer

Summary of radiation between surfaces, view factors, emissivity measurements. Flame radiation, radiation from clouds of luminous particles. Gas radiation, calculation of flame emissivities based on flame spectros- Optical temperature measurement. copy.

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ME 761 Internal Aerodynamics of Turbomachines

Fundamental relationships for internal fluid flow with reference to stationary and rotating co-ordinate systems; vorticity and circulation; compressible inviscid flow with swirl within axisymmetric passages; some effects of viscosity and turbulence. One-, two- and three-dimensional analysis methods for compressible flow in turbomachines; flow in diffusers; secondary Rows in stationary and rotating passages; some characteristics of three-dimensional turbulent boundary layers.

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ME 762 Turbulent Diffusion in the Environment Natural

Statistical quantities of interest in turbulent diffusion: Eulerian and Lagrangian probability distributions, averages, correlations, spectra. Specific prediction models for atmospheric and oceanic mixing processes: diffusion in a homogeneous field and in a boundary layer. Effects of density stratification, buoyant movements.

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ME 763 Micrometeorology

Energy balances at the earth-atmosphere boundary, wind flow and turbulent heat and mass transfer over homogeneous surfaces, wind flow around obstacles, atmospheric pollution, local weather modification.

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ME 764 Advanced Dynamic Meteorology

Taylor spiral, scale analysis of equations of motion, geostrophic adjustment, available potential energy, dynamics of the general circulation, barotropic and baroclinic instability.

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ME 801 Oral eximination of the thesis for the Ph.D

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ME 803 Comprehensive Examination

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ME 804 Language requirement for the Ph.D

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ME 807 Engineering Project 1

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ME 808 Research Thesis for the M.A.Sc

809 § Active Research Projects

Research Thesis for the Ph.D.

The major subject areas of current research in the Department of Mechanical Engineering are: Materials Science Manufacturing Science Solid Body Mechanics a Mechanical Design Natural Fluid Dynamics Combustion Turbulent Flow in Boundary Layers and Ducts Turbomachinery Fluid Control Systems Descriptions of the active projects in each area and a listing of publications resulting from them may be found in the brochure “Research in Engineering” published by the Faculty of Engineering.

Operation of the low speed wind tunnel

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