Waterloo Research

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Extremal Graph Theoretic Problems with Applications
(Indian Statistical Institute, 1966) Murty, Uppaluri S. R.
Graphs have now become recognized models for a wide variety of situations. Whenever we have a collection of objects with a binary relation defined on them graphs serve as excellent tools to study the combinatorial properties of the collection with respect to the binary relation. D. Konige was the first person to recognize the usefulness of graph theoretic models. He conceived of a unified study of graphs under an abstract set up. His book was a pioneering work in this field. The graph theoretic problems embodied in this thesis have been motivated by situations arising in communication networks. In terms of graphs these problems ask for the extremal structures with preassigned diameters and their variations under suppression of vertices and edges. The motivation for the problems and their applications is deferred to the penultimate chapter. This has been found reasonable, in any case not disorderly, as the appropriate combinatorial problems in terms of graphs seem to be of great interest on their own. Perhaps we have the cue here to study the extremal structures of graphs satisfying a given property and retaining the same property after some portions of the graphs have been suppressed. All the graph theoretic problems considered here centre round the distance metric defined for graphs. An attempt is made in the last chapter to define a distance between any two columns of a (0, 1)-matrix. In light of this it seems to be possible to carry the analogy from graphs to matrices. The contributions of this thesis have been divided into six chapters and an appendix. At the beginning of each chapter is provided. Berge [1] has been followed throughout for notation and terminology.
Arthur E. O'Meara, Friend of the Indians
(University of Washington Press, 1967) Patterson II, E Palmer
THE COMPLETION of the transcontinental railroad to Vancouver in 1886 brought new waves of settlers to the west coast of Canada. The Indians of coastal British Columbia, already concerned about earlier encroachments upon their lands by the whites, had good reason to fear that they would soon be displaced by the newcomers. For, unlike other parts of Canada, much of the land in British Columbia had passed out of Indian hands without legal alienation.
Nishga Initiative and Missionary Response: Robert Doolan at Quinwoch, B.C.
(SAGE, 1981-07-01) Patterson II, E Palmer
In this historical study of the work of pioneer missionary Robert Doolan, Professor Patterson points out the initiative shown by the Nishga people of the northwest coast of British Columbia and how this interest helped build the church there.
Kincolith, B.C.: Leadership Continuity in a Native Christian Village, 1867-1887
(Canadian Journal of Anthropology, 1982) Patterson II, E Palmer
Through an adaptive strategy which began with an invitation to Anglican missionaries and extended through accepting Christianity, serving on the village "missionary council," and holding elected office under the Indian Advancement Act, traditional chiefs of the Nishga Indians maintained the continuity of their leadership after the founding of the native Christian village of Kincolith, B.C.
A Novel Furnace Design Utilizing a Low Temperature Plastic Condensing Heat Exchanger
(1982-03) Wright, John L.; Sullivan, Harry F.
The initial phase of a research and development program for the Consumers' Gas Co. and the Federal Department of Energy, Mines and Resources to design a condensing heat exchanger/gas fired residential air furnace has been completed. Progress to date has resulted in a novel design utilizing a relatively low temperature plastic material for the last stage heat exchanger. To utilize this low temperature plastic, a method of reducing the temperature of the flue gas entering the final heat exchanger was devised using a unique flue gas recirculation process. Heat transfer calculations and pressure drop prediction methods have indicated that the design is sound and can easily be accommodated in a residential furnace with only moderate increase in cost and space requirements. The existing design is also well suited to incorporation as a retrofit package and this is also being pursued. Based on the calculated performance, a condensing heat exchanger was sized, fabricated and installed on a conventional 80,000 BTU/hr input gas fired residential furnace. The initial experimental tests have given very encouraging results. Based on a final flue gas exit temperature of 85F with an excess air condition of 25%, these initial tests yielded a furnace efficiency of approximately 97%. Although combustion air preheat has not been employed in these initial tests, this feature is planned as part of the prototype design.
A Decade of Change: Origins of the Nishga And Tsimshian Land Protests in the 1880s
(University of Toronto Press, 1983) Patterson II, E Palmer
The decade of the 1880s was one of ferment and change for the Nishga. Internal and external factors operated. The allotment of reserves, the coming of Indian administration, the changing role of the missionary, the conflict within the missionary community — all of these were felt and reacted to by the Nishga. Rivalries between Nishga and Tsimshian and among the Nishga contributed to the sharpened awareness of changes regarding the land. The threat to the land was keenly felt and became the public issue. It retained that position for the next one hundred years, with intermittent periods of greater or lesser intensity.
Native Missionaries of the North Pacific Coast: Philip McKay and Others
(University of the Pacific, 1986) Patterson, E Palmer
IN WRITING THE HISTORY of nineteenth century Christian missions the tendency has been to deal primarily with the European and Euro-American or Euro-Canadian missionaries and their exploits—as adventure, devotion, sacrifice, martyrdom, cultural and economic imperialism, and other themes. Much less attention has been given to native missionaries, lay and clerical, commissioned by their white supervisors. Still less attention has been given to spontaneous, informal, or self-commissioned missionary activity by native Christians.
Effective U-values and Shading Coefficients of Preheat/Supply Air Glazing Systems
(1986-06) Wright, John L.
Research is documented which makes use of a computer program called VISION, This computer program was developed specifically to provide a detailed analysis of heat transfer occurring in glazing systems. VISION was modified to perform an analysis of the energy flows in supply air windows. A model used to quantify heat transfer in the supply air flow is described. Ventilation air is brought in through supply air windows and the energy recovered by the preheat of the air flow is credited to the thermal performance of the window itself, Thus, the net energy flow between the conditioned space and the window was used to calculate an effective U-value and shading coefficient, The use of these "effective" window performance parameters permits the subsequent quantification of energy flows to or from the supply air glazing system without the necessity of modelling the detailed mechanisms of energy transport within the glazing system itself. A variety of glazing system designs are simulated. Indoor glazing temperature is reported for each system. In all cases the presence of preheat ventilation improved the effective shading coefficient moderately and increased the effective thermal resistance appreciably.
Simulation And Measurement Of Windows With Metal Films Used In Conjunction With Teflon Inner Glazings
(1987-09) Wright, John L.; Sullivan, Harry F.
Previous work has shown that highly infrared transparent plastic films are well suited for use as inner glazings when used in conjunction with a low emissivity coating. Thermal resistance measurements of a set of glazing systems incorporating gold or copper coatings plus Teflon intermediate glazings are reported. The same glazing systems were simulated using a computer program called VISION. The agreement between the two sets of results was found to be very good.
Simulation and Measurement of Windows with Low Emissivity Coatings Used in Conjunction with Teflon Inner Glazings
(1987-09) Wright, John L.; Sullivan, Harry F.
Theoretical work has illustrated that highly infrared, transparent plastic films are well suited for use as intermediate glazings when used in conjunction with a low emissivity coating. Prototype glazing systems that incorporate low emissivity coatings and Teflon films were constructed. The thermal resistance of each of these prototypes was measured using the University of Waterloo Natural Convection Apparatus. Simulation of the glazing systems was carried out using a two-band glazing system thermal analysis program called VISION. Comparison between measurement and simulation showed good agreement. It can be concluded that highly infrared transparent intermediate glazings can be useful when high thermal resistance is desired and that the VISION glazing system analysis program is useful not only for parametric and sensitivity investigations but can also be used with confidence to estimate U-values of specific glazing systems.
Glazing System U-Value Measurement Using a Guarded Heater Plate Apparatus
(American Society of Heating, Refrigerating and Air-Conditioning Engineers, 1988) Wright, John L.; Sullivan, Harry F.
Precise heat transfer measurements have been carried out during the last 20 years using a guarded heater plate apparatus. This apparatus has been adapted and used over the last several years to perform U-value measurements on a variety of prototypical glazing systems. Results from two sets of measurements are presented. One set of results quantifies heat transfer across stagnant air layers containing an intermediate fluorinated ethylene-propylene (FEP) glazing and bounded by plates of various emissivities. The second set consists of values (i.e., glass-to-glass U-values) for a set of glazing systems that incorporate up to four glazings, one of two solar-control metal coatings and up to two intermediate glazings made of FEP film. In each case the measured results are compared to simulation. In the first study the discrepancy between measured and calculated heat transfer rates was less than 2% in all cases. In the second study the discrepancy was never greater than 8% and was less than 3% in the majority of cases. These results indicate that the test method used is well suited to the reliable measurement of glazing system U-value. It is a useful tool as a developmental test procedure for glazing system design because it can be carried out quickly and at low cost. The apparatus and procedure are described in detail.
Thermal resistance measurement of glazing system edge-seals and seal materials using a guarded heater plate apparatus
(American Society of Heating, Refrigerating and Air-Conditioning Engineers, 1989) Wright, John L.; Sullivan, Harry F.
In cold climates the increased edge-glass heat transfer at the perimeter of a sealed glazing unit creates a special problem. This is where condensed water and frost most readily occur. One mechanism contributing to edge-glass heat transfer is edge-seal conduction. Very few data are available regarding the thermal resistance of the various edge-seal configurations that are commercially available. An experimental procedure has been devised whereby the thermal resistance of an edge-seal can be directly measured using a guarded heater plate apparatus. Results are reported for nine edge-seal test samples. In addition, results from similar tests provide measured thermal conductivities for four of the materials used in the construction of the edge-seal test samples and commercially available edge-seals.
Natural Convection in Sealed Glazing Units: A Review
(American Society of Heating, Refrigerating and Air-Conditioning Engineers, 1989) Wright, John L.; Sullivan, Harry F.
In cold climates the augmented edge-glass heat transfer at the bottom of a glazing system creates a special problem. This is where condensed water and/or frost most readily occur. Two mechanisms determining the rate of edge-glass heat transfer, namely, edge-seal conduction and fill gas convection, are discussed. Current methods for estimating average edge-glass heat loss rates are reviewed. No reliable methods have been established for calculating the minimum temperature near the bottom of the indoor glazing. Heat transfer by natural convection of a gas in a vertical slot is a highly complex process about which there exists an abundance of technical information. The literature reviewed describes laminar flow regimes, mechanisms of heat transfer, local heat transfer, hydrodynamic stability, and conditions governing the onset of turbulence. These findings are discussed as they pertain to total and local heat transfer rates in glazing systems.
A Study Of Pane Spacing In Glazing Systems
(Solar Energy Society of Canada, 1989-06) Wright, John L.; Baker, J. A.; Sullivan, Harry F.
The selection of optimum pane spacing for glazing systems has been a topic of ongoing debate in the window manufacturing industry. Arguments are often based on speculation, intuition and results from tests not specifically designed to examine the effects of pane spacing. This study presents a set of measured centre-glass U-values taken from experiments where pane spacing was carefully varied while holding all remaining conditions unchanged. Heat flux measurements were made using a guarded heater plate apparatus. Glazing systems were all double glazed, air filled and tested in the vertical position. Measured centre-glass U-values were compared to calculated U-values. These calculations were performed using a version of the VISION glazing system thermal analysis program which was modified in order to model the guarded heater plate test conditions. VISION runs were also carried out in order to predict the optimum pane spacing as a function of variations in glazing system design, fill gas type, weather condition, and the number of panes incorporated in the glazing system. VISION results were combined with results of the window frame thermal analysis program, FRAME. FRAME was used to estimate the average edge-glass and frame U-values for several design options. The results of these calculations provide an estimate of the sensitivity of overall U-values to variations in pane spacing.
Thermal Resistance Measurement Of Glazing System Edge-seals
(1989-11) Wright, John L.
The existing design of glazing system edge-seals creates increased edge-glass heat transfer at the perimeter of sealed glazing units. This thermal short-circuit caused by edge-seal conduction results in added mechanical stress. condensation problems in cold climates and augments the building energy load. New edge-seal designs are being marketed but very few data are available regarding the thermal resistance of any of the various edge-seal configurations that are available. An experimental procedure hos been devised whereby the thermal resistance of an edge-seal can be directly measured using a guarded heater plate apparatus. Results for nine edge-seal test samples are reported and discussed. A variety of conclusions and design guidelines are presented.
A two-dimensional numerical model for natural convection in a vertical, rectangular window cavity
(American Society of Heating, Refrigerating and Air-Conditioning Engineers, 1994-12-31) Wright, John L.; Sullivan, Harry F.
It is common for sealed glazing units to exhibit condensation problems when operated in cold climates. Condensation often forms along the perimeter of the exposed surface of the indoor glazing because of the thermal short circuit caused by the edge seal. Furthermore, condensation most readily forms along the bottom edge of the indoor glazing because of the combined effects of edge seal conduction and fill gas convection. A simple two-dimensional numerical control volume formulation is presented that can be used to model the natural convection of gas within a vertical, rectangular cavity. Details of a unique perturbation scheme used to generate secondary cells are also presented This model closely reproduces the average Nusselt number results of more complex numerical models. Average and local Nusselt numbers have also been compared with experimental results and close agreement has been demonstrated for conditions typical of window cavities.
Calculating Window Solar Heat Gain
(American Society of Heating, Refrigerating and Air-Conditioning Engineers, 1995-07) Wright, John L.
Window design has been revolutionized-largely by the introduction of low emissivity (low-e) coatings and substitute fill gases. The large number of design options necessitates the use of computer simulation for development and rating. Two window analysis programs, VISION1 and WINDOW,2 are widely used in North America. Both have been released in several versions-the most recent being WINDOW 4.1 and VISION3. They differ in appearance because WINDOW is text based and VISION3 incorporates a graphical user interface (GUI) but they perform similar solar optical and heat transfer calculations to arrive at center-glass U-factors and solar heat gain values. More detail can be found in Wright's "Summary and comparison of methods to calculate Solar heat gain". This article examines window solar heat gain-how it is calculated and what affects it. Solar heat gain is quantified by the Solar Heat Gain Coefficient (SHGC). SHGC is the fraction of incident solar radiation that reaches the conditioned space. It is customary to consider each of three areas: (1) the center-glass area, A, (i.e., the glazed area more than 2.5 inches (63.5 mm) from any sight line, (2) the edge-glass area, and (3) the frame area, Component SHGC values are area-weighted to give a total window SHGC.
Summary and comparison of methods to calculate solar heat gain
(American Society of Heating, Refrigerating and Air-Conditioning Engineers, 1995-08) Wright, John L.
Methods used to calculate the solar gain of windows (including center-glass, edge-glass, and frame) are examined and compared Particular attention is devoted to the public-domain computer programs VISION3 and WINDOW 4.1. Calculated results are presented to quantify the sensitivity of solar heat gain with respect to a wide range of glazing system design parameters and operating conditions. Details concerning solar optical properties and heat transfer mechanisms are examined and discussed When possible, comments are made concerning the development of solar gain measurement procedures. Solar gain is most sensitive to the solar optical properties of the glazings--the most important property being the transmittance of the outdoor glazing. Variables that directly affect heat transfer rates (e.g., fill gas type, convective heat transfer coefficients) have a significantly smaller effect.
A two-dimensional numerical model for glazing system thermal analysis
(American Society of Heating, Refrigerating and Air-Conditioning Engineers, 1995-08) Wright, John L.; Sullivan, Harry F.
A simple two-dimensional (2-D) numerical control volume formulation is presented that can be used to model heat transfer through a vertical insulated glazing unit. This model accounts for natural convection of the fill gas (including the effect of secondary cells), conduction within the solid materials, and radiant exchange between the various surfaces facing the fill-gas cavity. This model closely reproduces average and local heat transfer rates measured using a guarded heater plate apparatus. Simulations clearly show that fill-gas motion causes the minimum indoor surface temperature (during cold weather) to be located at the bottom edge of the indoor glazing. Calculated results were also used to gain insights into heat transfer patterns in glazing systems with various combinations of low-emissivity coatings, fill gases, and edge-seal designs.
Conditions for saddle-node bifurcations in AC/DC power systems
(Elsevier, 1995-12-27) Cañizares, Claudio A.
Saddle-node bifurcations are dynamic instabilities of differential equation models that have been associated with voltage collapse problems in power systems. This paper presents the conditions needed for detecting these types of bifurcations using power flow equations for a dynamic model of ACIDC systems, represented by differential equations and algebraic constraints. Two methods typically used to detect saddle-node bifurcations, namely, direct and parameterized continuation methods, are briefly analysed from the point of view of numerical robustness.

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