4 resultados para 230107 Differential, Difference and Integral Equations
em Digital Commons - Michigan Tech
Resumo:
The flammability zone boundaries are very important properties to prevent explosions in the process industries. Within the boundaries, a flame or explosion can occur so it is important to understand these boundaries to prevent fires and explosions. Very little work has been reported in the literature to model the flammability zone boundaries. Two boundaries are defined and studied: the upper flammability zone boundary and the lower flammability zone boundary. Three methods are presented to predict the upper and lower flammability zone boundaries: The linear model The extended linear model, and An empirical model The linear model is a thermodynamic model that uses the upper flammability limit (UFL) and lower flammability limit (LFL) to calculate two adiabatic flame temperatures. When the proper assumptions are applied, the linear model can be reduced to the well-known equation yLOC = zyLFL for estimation of the limiting oxygen concentration. The extended linear model attempts to account for the changes in the reactions along the UFL boundary. Finally, the empirical method fits the boundaries with linear equations between the UFL or LFL and the intercept with the oxygen axis. xx Comparison of the models to experimental data of the flammability zone shows that the best model for estimating the flammability zone boundaries is the empirical method. It is shown that is fits the limiting oxygen concentration (LOC), upper oxygen limit (UOL), and the lower oxygen limit (LOL) quite well. The regression coefficient values for the fits to the LOC, UOL, and LOL are 0.672, 0.968, and 0.959, respectively. This is better than the fit of the "zyLFL" method for the LOC in which the regression coefficient’s value is 0.416.
Resumo:
The use of conventional orifice-plate meter is typically restricted to measurements of steady flows. This study proposes a new and effective computational-experimental approach for measuring the time-varying (but steady-in-the-mean) nature of turbulent pulsatile gas flows. Low Mach number (effectively constant density) steady-in-the-mean gas flows with large amplitude fluctuations (whose highest significant frequency is characterized by the value fF) are termed pulsatile if the fluctuations have a direct correlation with the time-varying signature of the imposed dynamic pressure difference and, furthermore, they have fluctuation amplitudes that are significantly larger than those associated with turbulence or random acoustic wave signatures. The experimental aspect of the proposed calibration approach is based on use of Coriolis-meters (whose oscillating arm frequency fcoriolis >> fF) which are capable of effectively measuring the mean flow rate of the pulsatile flows. Together with the experimental measurements of the mean mass flow rate of these pulsatile flows, the computational approach presented here is shown to be effective in converting the dynamic pressure difference signal into the desired dynamic flow rate signal. The proposed approach is reliable because the time-varying flow rate predictions obtained for two different orifice-plate meters exhibit the approximately same qualitative, dominant features of the pulsatile flow.
Resumo:
In an increasingly interconnected world characterized by the accelerating interplay of cultural, linguistic, and national difference, the ability to negotiate that difference in an equitable and ethical manner is a crucial skill for both individuals and larger social groups. This dissertation, Writing Center Handbooks and Travel Guidebooks: Redesigning Instructional Texts for Multicultural, Multilingual, and Multinational Contexts, considers how instructional texts that ostensibly support the negotiation of difference (i.e., accepting and learning from difference) actually promote the management of difference (i.e., rejecting, assimilating, and erasing difference). As a corrective to this focus on managing difference, chapter two constructs a theoretical framework that facilitates the redesign of handbooks, guidebooks, and similar instructional texts. This framework centers on reflexive design practices and is informed by literacy theory (Gee; New London Group; Street), social learning theory (Wenger), globalization theory (Nederveen Pieterse), and composition theory (Canagarajah; Horner and Trimbur; Lu; Matsuda; Pratt). By implementing reflexive design practices in the redesign of instructional texts, this dissertation argues that instructional texts can promote the negotiation of difference and a multicultural/multilingual sensibility that accounts for twenty-first century linguistic and cultural realities. Informed by the theoretical framework of chapter two, chapters three and four conduct a rhetorical analysis of two forms of instructional text that are representative of the larger genre: writing center coach handbooks and travel guidebooks to Hong Kong. This rhetorical analysis reveals how both forms of text employ rhetorical strategies that uphold dominant monolingual and monocultural assumptions. Alternative rhetorical strategies are then proposed that can be used to redesign these two forms of instructional texts in a manner that aligns with multicultural and multilingual assumptions. These chapters draw on the work of scholars in Writing Center Studies (Boquet and Lerner; Carino; DiPardo; Grimm; North; Severino) and Technical Communication (Barton and Barton; Dilger; Johnson; Kimball; Slack), respectively. Chapter five explores how the redesign of coach handbooks and travel guidebooks proposed in this dissertation can be conceptualized as a political act. Ultimately, this dissertation argues that instructional texts are powerful heuristic tools that can enact social change if they are redesigned to foster the negotiation of difference and to promote multicultural/multilingual world views.
Resumo:
As an important Civil Engineering material, asphalt concrete (AC) is commonly used to build road surfaces, airports, and parking lots. With traditional laboratory tests and theoretical equations, it is a challenge to fully understand such a random composite material. Based on the discrete element method (DEM), this research seeks to develop and implement computer models as research approaches for improving understandings of AC microstructure-based mechanics. In this research, three categories of approaches were developed or employed to simulate microstructures of AC materials, namely the randomly-generated models, the idealized models, and image-based models. The image-based models were recommended for accurately predicting AC performance, while the other models were recommended as research tools to obtain deep insight into the AC microstructure-based mechanics. A viscoelastic micromechanical model was developed to capture viscoelastic interactions within the AC microstructure. Four types of constitutive models were built to address the four categories of interactions within an AC specimen. Each of the constitutive models consists of three parts which represent three different interaction behaviors: a stiffness model (force-displace relation), a bonding model (shear and tensile strengths), and a slip model (frictional property). Three techniques were developed to reduce the computational time for AC viscoelastic simulations. It was found that the computational time was significantly reduced to days or hours from years or months for typical three-dimensional models. Dynamic modulus and creep stiffness tests were simulated and methodologies were developed to determine the viscoelastic parameters. It was found that the DE models could successfully predict dynamic modulus, phase angles, and creep stiffness in a wide range of frequencies, temperatures, and time spans. Mineral aggregate morphology characteristics (sphericity, orientation, and angularity) were studied to investigate their impacts on AC creep stiffness. It was found that aggregate characteristics significantly impact creep stiffness. Pavement responses and pavement-vehicle interactions were investigated by simulating pavement sections under a rolling wheel. It was found that wheel acceleration, steadily moving, and deceleration significantly impact contact forces. Additionally, summary and recommendations were provided in the last chapter and part of computer programming codes wree provided in the appendixes.