47 courses in the 1966–67 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Once a thesis project has been chosen, a suitable programme of course work to support the research work is agreed upon between the student and the supervisor. When approved by the Faculty of Graduate Studies, this programme, together with the thesis project, constitutes the official set of requirements for obtaining the degree sought by the student.
Candidates registered for an M.A.Sc. degree, type R, 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 official set of requirements for the award of a Master’s degree, type R, are (a) that the candidate obtains a pass in all prescribed subjects with an average of 66% or better (b) that his thesis be accepted.
B. The Doctor of Philosophy Degree. This degree is awarded after the candidate has satisfied his supervising committee that his thesis is a substantial original contribution to knowledge 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. Approximately at the end of his first year of residence as a Ph.D. candidate a comprehensive oral examination is administered to him by his supervising committee.
The mechanics of thesis topic selection is very much as described under the Master’s degree and very often a candidate proceeds from study for a Master’s degree type R, to Ph.D. work in the same area of specialization. In order to be admitted to graduate study as a Ph.D. candidate he 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 our Ph.D. programme, he would have to satisfy the Department that he is able to carry out independent research. To this end he would at first be registered as a candidate for an M.A.Sc. degree, with research thesis. After one year his case would be reviewed and if he had demonstrated the required ability to carry out independent research he would be permitted to change his registration to Ph.D. candidacy with credit, meaning that his course of study would have a minimum length of two academic years counted from his registration for an M.A.Sc. degree with research thesis. In other words, one year of residence would be credited to him towards the total of three required to obtain a Ph.D. degree, on the strength of his course-work type Master’s degree as is ordinarily done if the Master’s degree involves a research thesis.
The supervising committee of five consists of the supervisor and four other members appointed on the advice of the supervisor. One of these is usually appointed from outside the university, another one from outside the department (often from Mathematics or Physics.)
Department of Mechanical Engineering
Comprehensive Examination: A comprehensive examination is normally held approximately 12 months after the candidate has embarked on his Ph.D. programme. It is an oral examination administered by the supervising committee, except that the external assessor may be replaced by a member of the university faculty. On the basis of the examination, the committee decides whether.
a) The scholarly competence of the candidate in his chosen field of specialization and in closely related fields is adequate.
b) The candidate should be instructed through his supervisor to extend his reading’ of specified fields or even to take further specific courses.
c) The candidate is so lacking in competence in his chosen field that his registration as a Ph.D. candidate should be terminated.
Language Requirements: 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 not normally acceptable as satisfying the foreign language requirements, except when the native tongue is French, German or Russian.
Examination of the Thesis: Upon completion of the research the candidate is required to submit four typed copies of the final draft of his thesis to the supervising committee. The thesis is read by each of the members of the Committee. One copy of the four is filed with the Graduate Studies Office for three weeks and is available for all members of the faculty of the University to review. Recommendations of the readers of the thesis may be in one of four categories.
a) Acceptance as submitted. b) Acceptance with minor modifications as noted.
c) Conditional acceptance with major modifications usually requiring a resubmission.
d) Complete rejection.
Public Presentation: The candidate is required to give a public presentation of his thesis before a colloqium held by his major department. This public delivery -will be well advertised in advance throughout the University and possibly at neighbouring institutions. Although this is not construed as an examination, an adequate time is allowed for questions from the floor.
Graduate Course Descriptions
(All one semester courses)
An extension of ME 13. Computing mechanisms, space mechanisms. Use of computers in synthesis and analysis. Four-bar linkage.
Department of Mechanical Engineering
coupler curves, path curvature. Euler-Savary equation, polode curvature. Numerical and graphical methods. Five-bar linkages.
Classification and estimation of errors. Smoothing of experimental data. Similitude and model laws. Analogue methods in experimental stress analysis. Electrical and mechanical strain gauges, transducers. Brittle coatings. Photoelasticity.
Fluid power conversion: positive displacement pumps and motors; energy storage in fluids in unsteady flow, elastic systems. Fluid power transmission: dynamic response characteristics for hydraulic and pneumatic power control systems; instability; non-linear effects in hydraulic systems with inertial loading.
Description of simple and extended dislocations. Stress, strain and energy associated with single dislocations. Forces on and between dislocations. Dislocation-dislocation interactions, cross slip and multiplication. Interactions with point defects. Applications in grain boundary theory.
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.
Bond theory. Fermi levels, dia-para and ferro magnetism. Theoretical and experimental studies of dislocations. Structure and behaviour of polycrystalline metals.
Review of basic crystallography. Dislocation theory with special reference to non-metallic substances. Properties and influence of point defects. Ductility, fatique and fracture phenomena. Surface effects. Mechanical properties of special single crystal polycrystals and polyphase materials.
The classical theory of plasticity, with particular reference to forming processes. Elements of tensors, stress, strain, yield and flow; strain-hardening, anisotropy. Extremum principles, field theory, limit analysis. Impact and instability effects. Limiting conditions in forming operations. Time rate and temperature effects. Approximate technological theories;. residual stresses.
Modular design vs. composite design; multiple purpose design vs. special function design; tooling design as a parameter in machine tool design; machine tool efficiency analysis by percentage time of cutter contact; effect of climb compensation on tooling costs; three dimensional development by selective etching and tape control. Discussions of actual problems in machine tool applications in Canadian industry.
Interactions of alpha, beta, gamma and neutron radiation, and fission products with matter. Nature and
kinetics of damage and recovery in solids and liquids. Uses of radiation and radioactive materials in industry and research. Detection techniques. 3 lectures.
Polymer processing. Review of applicable heat transfer and fluid flow theory. Elements of polymer science and rheology. Non-Newtonian flow, viscometry. Influence of time in moulding. Injection moulding, screw extrusion, vacuum forming.
Prerequisites: ME 53, GE 32.
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.
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 spectroscopy. Optical temperature measurement.
A survey of the equations of heat, mass, and momentum transfer in a fluid. Examples of similarity. Evaluation of transport properties, kinetic theory of ideal gases, Chapman-Enskog theory, introduction to kinetic theory of liquids.
Review of combustion thermodynamics. Combustion of premixed gases, detonations. Laminar and turbulent diffusion flames. Combustion in flow systems, flame holders. Heterogeneous combustion, solid fuels, liquid droplets. Combustion of metals. Ignition and flame spread. Applications of the theories to furnaces, gas turbines, reciprocating I-C engines, and rocket motors.
Two- and three-dimensional ideal fluid flow, integration of Euler’s equations; vorticity equations. Three-dimensional irrotational flow: virtual mass, method of images, distributed sources and sinks, linearized theory of axisymmetric flow past slender bodies, theorems of Taylor and Lagally. Two-dimensional irrotational flow: conformal mapping. Blasius force and momentum theorems; free streamline problems; vortex flows.
Survey of experimental results. Equations of motions in tensor form; Navier-Stokes equations; some exact solutions of Navier-Stokes equations in steady and unsteady flows; limiting cases of small and large Reynolds numbers; two-dimensional boundary layers, exact and approximate solutions; three-dimensional axisymmetric boundary layers; boundary layer control, free jets.
Thin airfoil theory and its application to blade design. Three-dimensional problems, radial equilibrium, actuator disk theory, secondary currents. Boundary layers in cascades and on annulus walls. Physics of cavitation: inception and growth of cavities, mechanism of damage.
Department of Mechanical Engineering
Instability of laminar flows and transition to turbulence; stochastic properties of turbulent flows; measurement methods; homogeneous turbulence models; theories of local isotropy; structure of turbulence in shear flows.
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.
Fundamental concepts of fluid flow and wave motion. The equation of wave motion and list of solutions. Water waves: Theory of tidal waves, surface waves and capillary waves. Inertial and elastic waves: inertance, capacitance, impedance of pipes, waterhammer equations, surge effects. Plane and spherical acoustic waves, near and far field equations, wave propagation in stratified media. Blast waves in atmosphere and underwater, dynamic blast loads.
Basic equations, one dimensional unsteady compressible flow. Pressure and rarefaction waves: the method of characteristics. Wave reflection and transmission. Flow with discontinuities. Flow with friction and heat transfer. Shock tube theory.
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.
The algebra of Cartesian tensors; the laws of Fluid Mechanics; application of the equations to various branches of Fluid Mechanics.
Selected topics concerned with laminar viscous flows. 1. The stability of laminar boundary layers and its relationship to transition to turbulent flow. Effects of Reynolds number, main-stream turbulence, pressure gradient, wall roughness, mass transfer. Stability curves. Amplification curves. Instability waves. Development of turbulence. 2. Detailed study of axisymmetrical boundary layers and the use of the Mangler transformation. 3. Heat and mass transfer through laminar boundary layers. Effects of pressure gradient, mass transfer and the Prandtl/Schmidt number.
The velocity boundary layer. Velocity profile from a Couette flow analysis. Reasons for preferring the power law and the logarithmic law to express universal velocity profile. Local and mean drag laws for pipe flows and for boundary layers.
The thermal boundary layer. Couette flow model. Total thermal conductivity. Heat transfer coefficient and the Stanton number. Reynolds analogy. Thermal resistance of the laminar sublayer. Integral thermal energy equations. Recommended formulae for estimation of heat transfer rates.
Recent theories and experimental evidence relating to isotropic and homogeneous turbulence. Effects of variation of fluid properties and of heat transfer on isotropic turbulence. Structure of turbulent shear flows in presence of variable wall roughness, wall damping and pressure gradient. Turbulence structure in two- and three-dimensional shear flows. Structure of compressible turbulent flows. Mechanism of aerodynamic noise generation.
Advanced topics in nuclear reactor design and analysis: elementary transport theory applications in core design and shielding, coupled nuclear/thermal systems kinetics, fuel and poison management optimisation.
Prerequisite: consent of instructor.
2 hours lecture per week.
Directed study of a special topic of interest to an individual student or group of students. May consist of a series of lectures, assigned reading, and a report.
Active Research Projects
Fluid Mechanics. Studies of non-viscous and viscous fluid mechanics; Incompressible and compressible flows; Heat and mass transfer in problems of forced and free convection; Wave phenomena in fluids; Surface and internal waves in the Great Lakes; Fluid power control systems; Fluid mechanics of turbomachinery components: secondary flow in impeller passages, flow in annuli and annular diffusers, radial flow with swirl; Problems of Cavitation.
Mechanics of Turbulent Flows. Stability of laminar flows and its effects on transition to a turbulent regime; Turbulent diffusion and its application to studies of diffusion in the atmosphere and in the Great Lakes; Free turbulence in jets, wakes, and plumes; Air pollution; Aerodynamic Noise; Mechanics governing turbulent flow near rigid and flexible surfaces; Turbulent boundary layers with heat and mass transfer; Advanced topics in turbulence.
Materials. Theoretical and experimental studies of dislocations in both single and polycrystalline solids; Physical and mechanical behaviour of materials in reactive environments; Investigation of internal stresses in plasticallydeformed solids; The design and properties of composite materials; Microstructural aspects of fatigue; Atomistic growth processes occurring on solidification of metals; Mechanical properties of bones. Hysteretic damping of materials.
Nuclear Engineering. Economics of reactor operation using digital computer models; Heat removal, experimental studies; Fuel and structural materials, experimental and theoretical studies.
Combustion and Heat Transfer from Flames. Combustion of liquid fuels above the critical pressure; Heat transfer from metal-powder flames; Electrical pro-
Department of Mechanical Engineering
perties of metal-powder flames; Flame spread in fires; Ignition and combustion of solid propellants; Combustion instability of solid propellants.
Manufacturing Science. Plasticity applied to forming processes; Instability problems and limiting conditions in forming operations; Bulging, deep drawing, strip buckling in cold rolling; Electromagnetic forming.
For further details the faculty research brochure may be consulted.
Management and Systems Engineering
A post-graduate programme in applied mathematical and systems analysis in Management is offered by the University of Waterloo. Individually tailored training is provided in quantitative techniques for the definition and solution of planning, organizational, and operational problems in industrial, commercial, and financial enterprises.
Research and professional work by Waterloo faculty in closely related fields provide an interdisciplinary environment for Management study: psychology, sociology, manufacturing technology, design, transportation, resource and economic planning and management, control systems, computer technology, simulation and econometrics, statistics and optimisation theory, and others. The University’s Computing Centre includes IBM 7040, IBM 1620 and IBM 1710/Pace TR48 computers with extensive auxiliary equipment and software.
Requirements for the Master’s Degree. The Master’s degree will be awarded to students who successfully complete four semester-courses from the Management and Systems Engineering curriculum, two from Mathematics, and two courses which may be selected from any Department. Selection of courses is made by the student, in consultation with a faculty advisor, to suit his particular needs and objectives.
In addition to course work, the candidate for the M.A.Sc. degree must present a report or project study incorporating a substantial application of Operations Research or Management and Systems Engineering techniques, to some appropriate real world problem. For co-operative students, the problem must be found within the operational area of the candidate’s own firm, and the firm must be willing to allow access to data and, when necessary, clerical assistance for successful completion of the project. The firm will very probably enjoy realizable benefits from the project. There is no requirement for publication of such reports and every attempt will be made to ensure the integrity of confidential. information. Full-time students will choose such a problem with the help of faculty. The candidate has, of course, full access to the Library, the computational and consultational facilities of the University and its faculty members, for the project.
Full-time students will require a minimum of one academic year (2 terms) to complete the Master’s degree. Part-time students will require at least twice as long. The programme will run year-round and students may enter in September, January, or May.
Admission
Candidates entering prior to September 1966 will be accepted only on a part-time co-operative basis. From September 1966, full-time students will be accepted. The University admission regulations and procedures as described in the calendar will apply, and in addition, the Management and Systems Engineering Committee will use the following criteria in recommending individual programmes.
1) The candidate should hold an Honours degree, or equivalent in one of the following or related areas: Engineering, Mathematics, Economics.
2) The candidate should have successfully completed University-level courses in: Advanced Calculus, Numerical Analysis, Basic Statistics, Computer Programming (Fortran).
Where it appears appropriate candidates may be admitted to the programme with the requirement that prerequisite courses be taken.
In view of the requirement for a project study, co-operative programme candidates must assure themselves of support from their employers; and the Management and Systems Engineering Committee will require some evidence that such support is forthcoming.
Application for admission should be made as early as possible on forms provided by the Office of the Registrar. Academic transcripts and other supporting documents should be forwarded as soon as they become available.
Financial Assistance
Priority in eligibility for teaching fellowships and support under faculty research grants, when available, will be given to full-time students in continuous residence at the University for two or more consecutive terms. Co-operative students in residence for non-consecutive terms will be eligible for such support also. Part-time co-operative students are not eligible for University financial support.
Course Descriptions
GE 13. Management Science I. Applications of economic performance indices in choosing between engineering alternatives and choosing optimum operating levels. Topics: the planning process; generation and classification of cash flows; accounting concepts; methods for tangible evaluation of alternatives; capital resources and allocation principles; determination of minimum costs and maximum profit; elements of economic measurement, analysis, and forecasting; competition.
3 hours per week.
1 term.
GE 14. Management Science II. A review of basic statistical concepts and the use of statistical methods in engineering and management problems, with pri-
Department of Mechanical Engineering
mary emphasis on the application of statistical methods. Frequency distributions, means and deviations. Probability. Coefficients of correlation. Sampling methods and quality control. Concepts of queuing theory. Linear representation and linear programming. Accuracy of data and its use in O.R. techniques. Introductory concepts of time-cost distributions for work performance. Discussion of special problems in management and engineering connected with high speed tabulation, automatic data processing and computer applications. 2 hours.
1 term.
A special review course in advanced calculus, numerical analysis, basic statistics, and computer programming to the level required for entry to the Management Science programme. Degree credit is not given for this course.
1 term.
Concepts and approaches in management science. This course will be in two parts. Part I — advanced concepts of planning; resource allocation and scheduling; Part II — the application of management science principles in one of the following areas: project management, financial management, marketing, engineering (facilities). engineering (Product development), production, national economic planning. This course is meant as a survey in Management Science for those interested in specializing in Operations Research or Computer Sciences.
Prerequisite: consent of instructor.
2 hours.
1 term.
Review of the mathematical background, beyond calculus, for students interested in management science, operations research, and difference equations, linear matrix algebra, stochastic processes, advanced probability and statistics. Prerequisite: consent of instructor.
2 hours.
1 term.
The nature of information as a product of complex systems; element and rule concepts; decision tables; document tracing; report generation; communication networks, data banks; decision-organization and work flow relationships; generalized study of the creation of an information system; nature and role of EDP in an information system; information retrieval.
2 hours per week.
2 terms.
The concept of corporate planning; the decision process; inter-relation of forecasting and actual results; macro or micro approaches to simulation; job shop simulation; corporate simulation; econometric principles and concepts; SIMSCRIPT; the IBM General Purpose
Simulator; creating a corporate model. This is an advanced course in management science concepts applied to high level corporation planning. Prerequisites: GE 13, GE 14, and a knowledge of FORTRAN programming; or consent of instructor.
2 hours per week.
2 terms.
Concepts of interrelated systems; national economic planning; strategic implications and alternative courses of action; product mix concepts; value analysis, weapon systems; installing planning systems; simulation as a planning tool; PERT/CPM — problems and benefits; national resource problems; allocation concepts.
Prerequisites: GE 13, GE 14, and a knowledge of FORTRAN programming or consent of instructor.
2 hours per week.
2 terms.
The nature of a system; system elements and relationships; structuring a business system; management objectives, organizational concepts; the information system; integrated systems — a “personnel” case in depth; organizing a data processing center; task force selection and training, hardware selection; satellite computer systems; teleprocessing; data linkages and sub-systems; the total system concept. Prerequisites: GE 13, GE 14, and a knowledge of FORTRAN programming or consent of instructor.
2 hours per week.
2 terms.
Cyclical production operations; line of balance criteria; parts requirements; quality control and recoverable rejects; inventory management; product mix; optimum batch size; rate of return versus minimum cost; distribution problems; warehouse location; transportation networks; feedback loops; simulation concepts; inventory models; use of computers.
Prerequisites: GE 13, GE 14, and a knowledge of FORTRAN programming or consent of instructor.
2 hours per week.
2 terms.
A course covering computer-oriented practices current in the areas of: general business administration, international trade, law, personnel relations, industrial relations, contracts and computer controls.
Prerequisites: GE 13, GE 14, and a knowledge of FORTRAN programming or consent of instructor.
2 hours per week.
2 terms.
A course covering computer-oriented practices current in the areas of: cash flow, treasury profit, banking and loans.
Department of Mechanical Engineering
mergers and acquisitions, stock market offerings, controllership concepts, international finance, corporation organization and taxation, mathematical theory of a profit, computer controls.
Prerequisites: GE 13, GE 14, and a knowledge of FORTRAN programming or consent of instructor.
2 hours per week.
2 terms.
Participation in analysis, planning, and decision-making under competitive and fast-time stress using functional and industrial simulations.
2 hours per week.
1 term.
Techniques in market research, product and market analysis; modelling of consumer and industrial market behaviour; competitive strategy in marketing planning and sales forecasting.
2 hours per week.
2 terms.
Music
Prerequisite: Gr. XIII Music or the equivalent, and consent of the instructor. 3 lectures.
A critical survey of the history of music from the Greek period to the present. Special emphasis will be given to basic rudiments, form and style. 3 lectures.
A study of music that is either inspired by, or makes use of literary texts, or serves as incidental music to drama. Special emphasis will be placed on music related to Greek Drama, the Bible, and German literature of the Romantic period, but also included will be music related to Spanish, English, French, Russian and Chinese writings.
3 lectures.