Digital Collections

Polynomial Real Root Finding in Bernstein Form
This dissertation addresses the problem of approximating, in floating-point arithmetic, all real roots (simple, clustered, and multiple) over the unit interval of polynomials in Bernstein form with real coefficients.
Institutional Repository

Aribex Nomad Veterinary: A Study of the role of X-Ray Technology in the Veterinary Industry
J. Elliott Dozier, Eric Lopez, and Dharshaun Turner (hereafter referred to as BYU Vet team) conducted a marketing research project for Aribex Inc, to help the company learn more about the veterinary industry and determine a market entry strategy,...
Institutional Repository

Numerical Aspects of Discrete and Continuum Hybrid Models in Cell Biology
In this paper we introduce a method of modeling which mixes continuum and discrete variables, and explain two models in cell biology that use this method. The first application deals with wound healing, more specifically the collagen alignment in...
Institutional Repository

A Study of Radiofrequency Cardiac Ablation Using Analytical and Numerical Techniques
radiofrequency, cardiac, ablation, integral transforms, surface integration, surface integral
Studies on radiofrequency (RF) ablation are often aimed at accurately predicting tissue temperature distributions by numerical solution of the bioheat equation. This thesis describes the development of an analytical solution to serve as a...
ETD

Multidimensional Modeling of Solid Propellant Burning Rates and Aluminum Agglomeration and One-Dimensional Modeling of RDX/GAP and AP/HTPB
propellant, combustion, model, modeling, numerical, computer, burning rate, aluminum, agglomeration, RDX, GAP, AP, HTPB
This document details original numerical studies performed by the author pertaining to solid propellant combustion. Detailed kinetic mechanisms have been utilized to model the combustion of the pseudo-propellants RDX/GAP and AP/HTPB. A particle...
ETD

The Dufour effect. III. Direct experimental determination of the heat of transport of carbon tetrachloride-cyclohexane liquid mixtures
The heat of transport of carbon tetrachloride-cyclohexane liquid mixtures has been determined directly by Dufour effect experiments. The technique employs a withdrawable ''liquid gate'' to create a nonturbulent, sharp diffusional interface. The...
Institutional Repository

A Mathematical Model for Fibroblast and Collagen Orientation
Due to the increasing importance of the extracellular matrix in many biological problems, in this paper we develop a model for fibroblast and collagen orientation with the ultimate objective of understanding how fibroblasts form and remodel the...
Institutional Repository

Modeling the Transient Response of a Thermosyphon
thermosyphon, transient heat transfer, heat pipe, numerical modeling
Thermosyphon transient operation was numerically modeled. The numerical model presented in this work overcame the limitations of previous studies by including transient conduction in the vessel wall, shear stress between the rising vapor and the...
ETD

Numerical calculation of axisymmetric electrostatic modes for cold finite-length non-neutral plasmas
A numerical calculation of mode frequencies for cold, non-neutral plasmas is reported. The numerical method can be applied to any axisymmetric plasma shape in a trap. Here, it is used to study axisymmetric electrostatic modes in a long conducting...
Institutional Repository

Damped diocotron quasi-modes of non-neutral plasmas and inviscid fluids
Computations of damped diocotron oscillations (quasi-modes) are described for non-neutral plasmas and inviscid fluids. The numerical method implements a suggestion made by Briggs, Daugherty, and Levy some 25 years ago [Phys. Fluids 13, 421 (1970)]...
Institutional Repository

Simulations of electrostatic modes of non-neutral plasmas with small aspect ratio in a Penning trap
The dependence on induced charge, experimental geometry, and temperature of electrostatic modes in very low aspect ratio non-neutral plasmas in a Penning trap is considered. The modes are of interest as non-destructive diagnostics of the shape of...
Institutional Repository

Two-Dimensional Modeling of AP/HTPB Utilizing a Vorticity Formulation and One-Dimensional Modeling of AP and ADN
ammonium perchlorate, propellant, combustion, ammonium dinitramide, BDP model, vorticity, low Mach number, AP/HTPB flame structure
This document details original numerical studies performed by the author pertaining to the propellant oxidizer, ammonium perchlorate (AP). Detailed kinetic mechanisms have been utilized to model the combustion of the monopropellants AP and ADN, and...
ETD

Structure-property maps and optimal inversion in configurational thermodynamics
Cluster expansions of first-principles density-functional databases in multicomponent systems are now used as a routine tool for the prediction of zero- and finite-temperature physical properties. The ability of producing large databases of...
Institutional Repository

Experimental and numerical investigation of turbulent flow induced pipe vibration in fully developed flow
Flow-induced pipe vibration caused by fully developed pipe flow has been observed but not fully investigated when turbulent flow prevails. This article presents experimental results that indicate a strong correlation between the volume flow rate...
Institutional Repository

A Mathematical Model for Spatially Varying Extracellular Matrix
Orientation of extracellular matrix fibers in the skin is a key ingredient of tissue appearance and function, and differences in fiber alignment are one of the main distinctions between scar tissue and normal skin. In this paper, the authors...
Institutional Repository

A Continuum Analysis of the Chemotactic Signal Seen by Dictyostelium discoideum
We develop a mathematical model of cell-to-cell-signalling in Dictyostelium discoideum that predicts the cAMP signal seen by individual cells in early aggregation. The model employs two cells on a plane and is designed to predict the space-time...
Institutional Repository

Modes in a non-neutral plasma of finite length, m = 0,1
For realistic, cold equilibria of finite length representing a pure electron plasma confined in a cylindrical Malmberg–Penning trap, the mode spectrum for Trivelpiece–Gould, m=0, and for diocotron, m=1, modes is calculated numerically. A novel...
Institutional Repository

Measurement of Thermal Diffusivities Using the Distributed Source, Finite Absorption Model
heat transfer, thermal diffusivity, reduced order modeling, genetic algorithm
Thermal diffusivity in an important thermophysical property that quantifies the ratio of the rate at which heat is conducted through a material to the amount of energy stored in a material. The pulsed laser diffusion (PLD) method is a widely used...
ETD

Mathematical Modelling of Extracellular Matrix Dynamics using Discrete Cells: Fiber Orientation and Tissue Regeneration
Matrix orientation plays a crucial role in determining the severity of scar tissue after dermal wounding. We present a model framework which allows us to examine the interaction of many of the factors involved in orientation and alignment. Within...
Institutional Repository

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