Effects Of Multitemperature Nonequilibrium On Compressible Homogeneous Turbulence,
2010
Old Dominion University
Effects Of Multitemperature Nonequilibrium On Compressible Homogeneous Turbulence, Wei Liao, Yan Peng, Li-Shi Luo
Mathematics & Statistics Faculty Publications
We study the effects of the rotational-translational energy exchange on the compressible decaying homogeneous isotropic turbulence (DHIT) in three dimensions through direct numerical simulations. We use the gas-kinetic scheme coupled with multitemperature nonequilibrium based on the Jeans-Landau-Teller model. We investigate the effects of the relaxation time of rotational temperature, ZR, and the initial ratio of the rotational and translational temperatures, TR0 / TL0, on the dynamics of various turbulence statistics including the kinetic energy K (t), the dissipation rate ε (t), the energy spectrum E (k,t), the root mean square of the velocity divergence θ′ …
Global Caccioppoli-Type And Poincar ´E Inequalities With Orlicz Norms,
2010
Florida Institute of Technology
Global Caccioppoli-Type And Poincar ´E Inequalities With Orlicz Norms, Ravi P. Agarwal, Shusen Ding
Mathematics and System Engineering Faculty Publications
We obtain global weighted Caccioppoli-type and Poincaré inequalities in terms of Orlicz norms for solutions to the nonhomogeneous A -harmonic equation d A(x,d)=B(x,d).
The Fibonacci Sequence,
2010
Parkland College
The Fibonacci Sequence, Arik Avagyan
A with Honors Projects
A review was made of the Fibonacci sequence, its characteristics and applications.
Variational Analysis In Parametric Optimization,
2010
Wayne State University
Variational Analysis In Parametric Optimization, Yen Nhi Nguyen Thi
Wayne State University Dissertations
The dissertation is devoted to the development of variational analysis and generalized differentiation in infinite dimensions. We derive new calculus rules for both first-order partial subdifferentials and second-order partial subdifferentials in the framework of general Banach spaces as well as more developed rules in the framework of Asplund spaces. This calculus is applied in the study of sensitivity analysis for solution maps to the parameterized generalized equations in Asplund spaces, where both bases and fields are parameter-dependent multifunctions. We analyze the parametric sensitivity of either stationary points or stationary point multiplier multifunctions associated with parameterized optimization problems under consideration. The …
Local Versus Global Search In Channel Graphs,
2010
University of Washington - Seattle Campus
Local Versus Global Search In Channel Graphs, A.H. Hunter, Nicholas Pippenger
All HMC Faculty Publications and Research
Previous studies of search in channel graphs has assumed that the search is global; that is, that the status of any link can be probed by the search algorithm at any time. We consider for the first time local search, for which only links to which an idle path from the source has already been established may be probed. We show that some well known channel graphs may require exponentially more probes, on the average, when search must be local than when it may be global.
Voting In Agreeable Societies,
2010
Harvey Mudd College
Voting In Agreeable Societies, Deborah E. Berg '06, Serguei Norine, Francis E. Su, Robin Thomas, Paul Wollan
All HMC Faculty Publications and Research
No abstract provided in this article.
Early Intervention In College Mathematics Courses: A Component Of The Stem Rrg Program Funded By The Us Department Of Education,
2010
University of Montana
Early Intervention In College Mathematics Courses: A Component Of The Stem Rrg Program Funded By The Us Department Of Education, Rohitha Goonatilake, Eduardo Chappa
The Mathematics Enthusiast
Student preparedness in entry level college mathematics courses has decreased in the past. In order for students to be successful in these courses, early intervention is required. Texas A&M International University (TAMIU) has implemented an early intervention program, the Mathematics Enrichment Program (MEP), which will target freshman students entering College Algebra courses in Spring 2009. This project is part of the STEM Recruitment, Retention, and Graduation program, recently funded by the US Department of Education. This paper will highlight the components of the project, most importantly the extent of the intervention, how the project is planned, and preliminary results.
New Year Tidings,
2010
University of Montana
Leading Learning Within A Plc: Implementing New Mathematics Content,
2010
University of Montana
Leading Learning Within A Plc: Implementing New Mathematics Content, Ann Heirdsfield, Janeen Lamb, Gayle Spry
The Mathematics Enthusiast
This paper does two things. Firstly, it examines the literature that coalesces around theoretical models of teacher professional development (PD) within a professional learning community (PLC). Secondly, these models are used to analyse support provided to two year 3 teachers, while implementing the draft Queensland mathematics syllabus. The findings from this study suggest that the development of this small PLC extended the teachers’ Zone of Enactment which in turn led to teacher action and reflection. This was demonstrated by the teachers leading their own learning as well as that of their students.
Tme Volume 7, Number 1,
2010
University of Montana
Calculating The Time Constant Of An Rc Circuit,
2010
University of South Florida
Calculating The Time Constant Of An Rc Circuit, Sean Dunford
Undergraduate Journal of Mathematical Modeling: One + Two
In this experiment, a capacitor was charged to its full capacitance then discharged through a resistor. By timing how long it took the capacitor to fully discharge through the resistor, we can determine the RC time constant using calculus.
Social Network Gaming Trends,
2010
University of South Florida
Social Network Gaming Trends, Michael Gathwright
Undergraduate Journal of Mathematical Modeling: One + Two
The purpose of this project was to determine how long the social network game Scratch-Offs, created by game development company Spice Rack Media, will remain financially viable. The game Scratch-Offs is a freeware game (users pay nothing for the actual software) and is funded through micro transactions (users must pay small amounts of money to play actual games). This implies a relationship between total games played and revenue earned. Using data provided by Spice Rack, we were able to develop an exponential equation that accurately depicts usage trends over time. This equation was used to determine the date Scratch-Offs will …
The Progression Of Sequential Reactions,
2010
University of South Florida
The Progression Of Sequential Reactions, Jack Mcgeachy
Undergraduate Journal of Mathematical Modeling: One + Two
Sequential reactions consist of linked reactions in which the product of the first reaction becomes the substrate of a second reaction. Sequential reactions occur in industrially important processes, such as the chlorination of methane. A generalized series of three sequential reactions was analyzed in order to determine the times at which each chemical species reaches its maximum. To determine the concentration of each species as a function of time, the differential rate laws for each species were solved. The solution of each gave the concentration curve of the chemical species. The concentration curves of species A1 and A2 …
Quantum Mechanical Example Of Anti-Tunneling,
2010
University of South Florida
Quantum Mechanical Example Of Anti-Tunneling, Tim Mitchell
Undergraduate Journal of Mathematical Modeling: One + Two
The probability of a particle being reflected by a semi-infinite energy barrier was solved using Schrödinger's equations that describe the quantum mechanical behavior of the particle. The continuity of the functions at the origin allowed the wave functions and their respective derivatives to be equated. Solution of the resulting system yielded values A1 and B1 which were used to calculate the reflection coefficient, (B1/A1)2. The conclusions obtained from these results stated that the particle would be reflected by the barrier when E
Effect Of Tire Pressure On Efficiency,
2010
University of South Florida
Effect Of Tire Pressure On Efficiency, Miles Mullins
Undergraduate Journal of Mathematical Modeling: One + Two
Many people ignore tire pressure in their day-to-day lives. In a country striving for maximum efficiency, neglecting to maintain correct tire pressure can noticeably affect the amount of horsepower required to overcome the drag forces due to tire/roadway friction. In order to quantify these horsepower changes, 21 test trials were conducted by allowing a test vehicle to coast from 50 mph down to 20 mph at pressures ranging from 50 psi to 20 psi. After compiling the results, it was shown that lower tire pressures increased the horsepower necessary to propel the automobile.
Power Consumption Of A Mosfet,
2010
University of South Florida
Power Consumption Of A Mosfet, Frederick Selkey
Undergraduate Journal of Mathematical Modeling: One + Two
A MOSFET is defined as metal oxide semiconductor field effect transistor. These electrical components are combined or integrated to form control and logic functions for laptop and desktop computers, power controls in printing devices, motor controls and are used in many other electrical circuits. All electrical devices consume electrical power based on current and voltage. For this paper we calculated the power consumption of a Toshiba 2SK3563 MOSFET during its triode mode by finding the area under the current-voltage characteristic curve.
Finding The Area Of An Irregularly Shaped Room,
2010
University of South Florida
Finding The Area Of An Irregularly Shaped Room, Justin Walls
Undergraduate Journal of Mathematical Modeling: One + Two
This experiment utilized integration in a practical sense by determining the floor area of an irregularly shaped room. By taking the integral summation of three sections formed from semi-circles, the desired areas as well as positive results were found. The final data determined that the floor area of the irregularly shaped room was around 580 square feet.
Pasteurization Of Milk,
2010
University of South Florida
Pasteurization Of Milk, Alejandro Barbosa Alzate
Undergraduate Journal of Mathematical Modeling: One + Two
We determined the time it takes milk, which is heated from 60°F to 150°F, to achieve pasteurization and compared this result with the standard pasteurization process of heating milk at a constant temperature of 150°F for 30 minutes. Instead of directly quantifying the bacterium population, we considered the bacteria to milk concentration ratio. To solve for the unknown time, we equated the final bacterium concentration ratio achieved through both varied temperature and constant temperature. After equating the final pasteurization concentrations we were unable to find an analytical solution, so we used numerical techniques to find the unknown heating time.
Optimization Of A Chemical Reaction Train,
2010
University of South Florida
Optimization Of A Chemical Reaction Train, Bahar Sansar
Undergraduate Journal of Mathematical Modeling: One + Two
This project consists of the optimization of a chemical reactor train. The reactor considered here is the continuous stirred tank reactor (CSTR), one of the reactor models used in engineering. Given the design equation for the CSTR and the cost function for a reactor, the following values are determined; the optimum number of reactors in the reaction train, the volume of each reactor and the total cost.
Canal Lock Displacement,
2010
University of South Florida
Canal Lock Displacement, Rick Blanton
Undergraduate Journal of Mathematical Modeling: One + Two
In this project we determine the time needed for a pump to raise the water level in a canal lock in order for a boat to continue upstream. Using calculus methods and elementary physics, it was determined that it would take roughly 5 minutes for a single 60 horsepower pump to raise the water level the required 10 feet. We conclude that the lock is fairly efficient but offer some suggestions to increase the time efficiency of the lock system.
