Accurate flammability limit information is necessary for safe handling of gas and liquid mixtures, and safe operation of processes using such mixtures. The flammability limit is the maximum or minimum fuel concentration at which a gas mixture is flammable in a given atmosphere. Because combustion occurs in the vapor phase, even in the case of liquids the flammability limits are applicable after calculating the vapor compositions. The body of flammability data available in the literature is often inadequate for use with the variety of conditions encountered in industrial applications. This is due to the scarcity of flammability data for fuel mixtures in non-standard atmospheric conditions, and inconsistencies in flammability values provided by different experimental methods. This work reports on the design, construction and utilization of an apparatus capable of measuring flammability limits for a range of conditions including fuel mixtures, varying oxygen concentrations, and extended pressure and temperature ranges. The flammability apparatus is a closed cylindrical reaction vessel with visual, pressure and thermal sensors. A thermal criterion was developed for use with the apparatus based on observations of combustion behavior within the reaction vessel. This criterion provides more detailed information about the combustion than is provided by the pressure criterion methods. Measured flammability limits of several hydrocarbon mixtures in air compare well with limits obtained by open glass cylinder experiments, but not with the results of counterflow apparatus experiments. The current results show that Le Chatelier’s rule describes the mixture results adequately. Minimum oxygen concentrations also were determined for methane, butane, and methane-butane mixtures and compared with values reported in the literature. Lower flammability limits were determined for an equimolar methane-butane mixture at varying oxygen concentrations. Results show that the flammability data determined with thermal criteria has an acceptable level of accuracy. Recommendations for improving apparatus are made, based upon observations made while operating the flammability apparatus.

A functional central limit theorem for a strictly stationary associated random field in the general d-dimension case with an added moment condition is proven. Functional central limit theorems for associated random measures are also proven. More specifically, conditions are given that imply weak convergence in the Skorohod topology of a renormalized random measure to the d-dimensional Wiener process. These results are applied to show new functional central limit theorems for doubly stochastic point random fields and Poisson cluster random measures. / Graduation date: 1986

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The purpose of this paper is to investigate properties of functions which are limits of functions with prescribed properties. Chapter II asks the question "Does a function which is the limit of a sequence of functions each of which is endowed with a certain property necessarily have that property?"

The purpose of this thesis is to examine general properties, convergence, and limit points of sequences of real numbers.

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Thesis (Ph. D.)--Oregon State University, 1986. / Typescript (photocopy). Includes bibliographical references (leaves 72-74). Also available on the World Wide Web.

Thesis (Ph.D.)--Tufts University, 2001. / Adviser: Marjorie G. Hahn. Submitted to the Dept. of Mathematics. Includes bibliographical references (leaves44-46). Access restricted to members of the Tufts University community. Also available via the World Wide Web;

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The dynamics of a quantum system with a large number $N$ of identical bosonic particles interacting by means of weak two-body potentials can be simplified by using mean-field equations in which all interactions to any one body have been replaced with an average or effective interaction in the mean-field limit $N \rightarrow \infty$. In order to show these mean-field equations are accurate, one needs to show convergence of the quantum $N$-body dynamics to these equations in the mean-field limit. Previous results on convergence in the mean field limit have been derived for certain initial conditions in the case of one species of bosonic particles, but no results have yet been shown for multi-species. In this thesis, we look at a quantum bosonic system with two species of particles. For this system, we derive a formula for the rate of convergence in the mean-field limit in the case of an initial coherent state, and we also show convergence in the mean-field limit for the case of an initial factorized state. The analysis for two species can then be extended to multiple species.