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Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Keyword
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- Adiabatic Flame Temperature (1)
- Angular velocity (1)
- Baseball Field (1)
- Beer-Lambert Law (1)
- Benzene (1)
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- Combustion (1)
- Coralville Reservoir (1)
- Dieldrin (1)
- Diffusion (1)
- Environmental Contamination (1)
- Environmental Pollution (1)
- Fick’s Laws of Diffusion (1)
- High Jump (1)
- Infield (1)
- Internal combustion engine (1)
- Major League Baseball (1)
- Methane (1)
- Outfield (1)
- Projectile Motion (1)
- Thermodynamics (1)
- Trajectory Analysis (1)
- Volatilization (1)
Articles 1 - 7 of 7
Full-Text Articles in Physical Sciences and Mathematics
High Jump Analysis, Paige Cooke
High Jump Analysis, Paige Cooke
Undergraduate Journal of Mathematical Modeling: One + Two
This project presents a mathematical analysis of the high jump, a popular track and field event. The first and second stages of the high jump correspond to the athlete’s run along two distinct trajectories. The third stage is the actual jump. We propose an individual model for each of these stages and show how to combine these models to study the dynamics of the entire high jump.
Adiabatic Flame Temperature For Combustion Of Methane Ii, Rebeca Pupo
Adiabatic Flame Temperature For Combustion Of Methane Ii, Rebeca Pupo
Undergraduate Journal of Mathematical Modeling: One + Two
We calculate the adiabatic flame temperature of a mixture of methane and oxygen in the presence of a diluent gas then determine the mole fractions of methane without respect to nitrogen and solve for the moles of oxygen present. Knowing the moles of methane and oxygen, allows us to calculate the moles of nitrogen present at four constant mole fractions of nitrogen, and the adiabatic flame temperature is determined from the energy released by the reaction. Lastly, we produce several graphs to compare the adiabatic flame temperatures at different mole fractions of nitrogen.
Volatilization Of Benzene In A River, Eric Dunlop
Volatilization Of Benzene In A River, Eric Dunlop
Undergraduate Journal of Mathematical Modeling: One + Two
Benzene is a volatile organic compound: when it contaminates a river, some of the substance will evaporate as it flows through. We examine the volumetric flow rate to find how volatilization affects the concentration levels of benzene as the substance flows through several consecutive sections of a river, using a specific example to illustrate the general method.
Diffusion Of Vitamin B12 Across A Mesoporous Metal Organic Framework, Veronica Valencia
Diffusion Of Vitamin B12 Across A Mesoporous Metal Organic Framework, Veronica Valencia
Undergraduate Journal of Mathematical Modeling: One + Two
We measure the rate of uptake and the rate of release of a Vitamin B12 solution (dissolved in water) at 2 different temperatures (room temperature and 37°C) by the mesoporous metal organic framework TbMOF-100 at 1-hour intervals using a spectrophotometer. Using the Beer-Lambert law, we calculate the concentration of the stock solution based on the absorbance values obtained with the spectrophotometer. These values allow for the quantification of the initial rate of uptake and the rate of uptake at a random incubation time of the Vitamin B12 by the TbMOF-100. We also calculate the value of the coefficient of diffusion …
A Simplified Model Of The Internal Combustion Engine, Christofer Neff
A Simplified Model Of The Internal Combustion Engine, Christofer Neff
Undergraduate Journal of Mathematical Modeling: One + Two
This project further investigates a model of a simplified internal combustion engine considered by Kranc in 1977. Using Euler’s method for ordinary differential equations, we modeled the interaction between the engine’s flywheel and thermodynamic power cycle. Approximating with sufficiently small time intervals (0.001 seconds over a period of 12 seconds) reproduced Kranc’s results with the engine having an average angular velocity of 72/sec.
Study Of Dieldrin In Coralville Reservoir, Jeremy Smith
Study Of Dieldrin In Coralville Reservoir, Jeremy Smith
Undergraduate Journal of Mathematical Modeling: One + Two
Using existing experimental data taken over a period of roughly 12 years that documents the concentrations of dieldrin levels in the environment and fatty tissue of the fish, we construct a model of the total dieldrin concentration decline. Comparisons between the experimental data and speculative data can be made using calculus and elements of statistics in order to better understand the movement of dieldrin in the reservoir. Because of the potentially harmful exposure effects of dieldrin to humans as well as the environment, it is important to be able to predict when stability has been restored to the ecosystem.
Finding The Area Of A Major League Baseball Field, Jacob Courchaine
Finding The Area Of A Major League Baseball Field, Jacob Courchaine
Undergraduate Journal of Mathematical Modeling: One + Two
Using a Major League Baseball (MLB) baseball field template for guidelines, we estimate the cost of building the largest possible field accepted under MLB standards. This includes finding the areas of both the clay and grassy regions and determining how many bags of clay and fertilizer are required to cover the field.