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Downloads
Views
Date
Relevance
Modeling Scenario
238
views
164
downloads
0
comments
1-059-ContainerShapeFallingWater-ModelingScenario
We examine many different physical situations to determine the time it takes a fixed volume of water to flow out of different shape containers through the same size exit hole at the bottom of the container.
containers
Torricelli's Law
shape
discharge coefficient
Modeling Scenario
273
views
116
downloads
0
comments
1-014-DrainingContainers
Given two rectangular circular cylinders of water with the same volume, but different radii, with a small bore hole of same radius on the center of the bottom through which water exits the cylinder, which empties faster?
containers
tank
flow
Torricelli's Law
draining
fixed volume
Modeling Scenario
231
views
408
downloads
0
comments
6-065-InternetPlatformUsers-ModelingScenario
A model estimating the volume of users interacting through a two-sided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2-dimensional dynamical system.
dynamics
flow
conserved
fixed points
cyclet
internet platform
diverghence
Jacobian
attracting
repelling
nodes
stable
saddle
spiral
Modeling Scenario
219
views
148
downloads
0
comments
1-057-FiguringFluidFlow-ModelingScenario
We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which model is the best of the three.
discharge
tank
Torricelli's Law
Conservation of Energy
fluid flow
height
liquid
Potential Scenario
117
views
33
downloads
0
comments
1999-Leonid_Hanin-Which tank empties first
Suppose that water towers like those shown in the opening are initially filled with water and have the same volume, height, and cross-sectional outlet area. Which one empties first?
tank
Torricelli's Law
spherical tank
empty
frustrum of cone
cylinder
Potential Scenario
271
views
56
downloads
0
comments
2017-Suebcharoen-Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
This paper studies the behavior of a predator-prey model with switching and stage-structure for predator.
stage structure
predator
prey
bifurcation
switching
Modeling Scenario
352
views
163
downloads
0
comments
1-040-OutcomeSavings-ModelingScenario
We ask students to build a model for a savings account and to determine the monthly deposit in a savings account in order meet a long term savings goal.
Pop_Growth Pilot
savings
growth
deposit
g
Modeling Scenario
185
views
138
downloads
0
comments
3-140-TwoSpringsOneMassFixedEnds-ModelingScenario
Students build a model of a two spring, single mass with fixed end configuration and then plot solutions to experience the motion.
mass
undamped
Free Body Diagram
springs
two springs
oscil
lation
spring constant
fixed ends
Potential Scenario
174
views
70
downloads
0
comments
2017-Jean-Roux-Mathematical Models in Air Quality Problems
Presents many models with analysis in air quality control. Starts with chemical kinetics models and builds complexity to PDE models.
air pollution effects on forest ecosystems
finite volume method
boundary layer
chemical kinetics
finite difference
emissions
depositions
advection
Modeling Scenario
329
views
245
downloads
0
comments
1-026-Evaporation-ModelingScenario
We provide data on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We ask students to develop a mathematical model for the rate of change in the respective...
evaporation
cone
alcohol
Petri dish
Potential Scenario
100
views
28
downloads
0
comments
2004-Aldo_Rescigno-On the use of pharmacokinetic models
In this paper I will define in a simple and logical way a set of useful pharmacokinetic parameters and show how their estimation depends on the assumed model.
compartment
steady state
pharmacokinetics
volume distribution
Modeling Scenario
140
views
68
downloads
0
comments
1-036-NeutralBuoyancy-ModelingScenario
An object may hang suspended at, say, ten foot depth in a column of water if at ten feet underwater the density of the object equals the density of water. We study this phenomenon
Density
buoyancy
Archimedes’ Principle
float
neutral buoyance
Potential Scenario
149
views
43
downloads
0
comments
1972-Suresh_Sethi-Optimal Control of the Vidale-Wolfe Advertising Model
This paper considers an optimal-control problem for the dynamics of the Vidale-Wolfe advertising model, the optimal control being the rate of advertising expenditure to achieve a terminal market share within specified limits.
Optimal Control Theory
advertising
sales
Modeling Scenario
318
views
178
downloads
0
comments
1-045-TimeOfDeath-ModelingScenario
Students are asked to determine the time of death given both environmental temperature situations and two observations of body temperature under several different circumstances.
body mass
temperature
death
Newton's Law of Cooling
body temperature
Modeling Scenario
209
views
157
downloads
0
comments
5-014-TwoSpringMass-ModelingScenario
We ask students to build a Free Body Diagram for a vertical two mass situation in which the two masses are held fixed at the tip and at the bottom. The mass holds the springs together at the join of the two springs in between.
mass
spring mass damper
springs
Potential Scenario
243
views
57
downloads
0
comments
1968-Wagner-Aghajanian-Bing-Correlation of performance test scores with tissue concentration of lysergic acid diethylamide
This paper offers a two compartment model of lysergic acid diethylamide (LSD) in volunteer students and through parameter estimation models the amount of LSD in the tissue after its initial administration through the plasma.
LSD
correlation coefficient
compartment model
lysergic acid diethylamide
performance
test score
tissue concentration
Modeling Scenario
187
views
167
downloads
0
comments
3-069-HeatInBar-ModelingScenario
The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches.
heat transfer
experiment
conduction
convection
boundary conditions
finite volume method
Modeling Scenario
256
views
108
downloads
0
comments
5-030-AirshedSulphur-ModelingScenario
Temperature inversions and low wind speeds trap air pollutants in a mountain valley for a period of time. Gaseous sulfur compounds are a significant air pollution problem. We offer a model for analysis to predict long-term levels of levels of...
sulphur
pollution
airshed
hydrogen sulfide
sulfur dioxide
Modeling Scenario
344
views
149
downloads
0
comments
7-008-MachineReplacement-ModelingScenario
Students build an integro-differential equation model using a convolution for machine replacement strategies for two different machine failure models.
Probability
replacement number
Laplace transform
industrial engineering
machine
convolution
distributioj
step function
derivative definition
Modeling Scenario
185
views
55
downloads
0
comments
1-131-CaffeineElimination-ModelingScenario
We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.
caffeine
elimination
pharmacokinetics
drug
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