
1043SCoolingUpAndDown
26 Aug 2017  Modeling Scenarios  Contributor(s): Brian Winkel
We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.

1044SCollegeBound
31 Jul 2016  Modeling Scenarios  Contributor(s): Brian Winkel

1045STimeOfDeath
02 Jun 2015  Modeling Scenarios  Contributor(s): Brian Winkel

1047SCondensation
17 Jul 2016  Modeling Scenarios  Contributor(s): Chris McCarthy, Brian Winkel

1047aSCondensationOptimization
17 Jul 2016  Modeling Scenarios  Contributor(s): Chris McCarthy, Brian Winkel

1050SBargingAhead
10 Feb 2016  Modeling Scenarios  Contributor(s): Timothy Pennings

1051SOneTankSaltModel
23 Jul 2016  Modeling Scenarios  Contributor(s): Brian Winkel
We offer students a chance to model a one compartment salt mixing model.

1052SSaltWaterTanks
27 Nov 2016  Modeling Scenarios  Contributor(s): Brian Winkel
We offer three mixing problems, of increasing order of difficulty, in which salt is coming into a tank of water and upon instantaneous mixing is leaving the tank.

1053SSlimeSpread
30 Aug 2018  Modeling Scenarios  Contributor(s): Brian Winkel
We offer a video showing real time spread of a cylinder of slime and challenge students to build a mathematical model for this phenomenon.

1054SGrowthInFarmland
14 Aug 2018  Modeling Scenarios  Contributor(s): Richard Spindler
An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model, which they then are required to analyze in multiple ways. Different fits, modeling approaches, and...

1055SWaterFallingInCone
27 Feb 2016  Modeling Scenarios  Contributor(s): Brian Winkel
There are three videos associated with this Modeling Scenario and all are available on SIMIODE YouTube Channel: Capture3 YouTube Version SlowMoCapture1 YouTube Version SlowMoCapture2 YouTubeVersion and as streaming videos or down loads in this Modeling Scenario under the Supporting Docs Tab...

1057SFiguringFluidFlow
15 Aug 2017  Modeling Scenarios  Contributor(s): Brian Winkel
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.

1058SWaterClocks
26 Nov 2016  Modeling Scenarios  Contributor(s): Sania Qureshi, Brian Winkel
We apply Torricelli's Law to the task of building a water clock in which the height of the water in a container falls at a constant rate when the container has a hole in the bottom to let the water flow out. First, we review the principles and derivation of the applicable physics in...

1059SContainerShapeFallingWater
22 Nov 2016  Modeling Scenarios  Contributor(s): Brian Winkel
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.

1060SSalesMarketing
01 Jun 2015  Modeling Scenarios  Contributor(s): Brian Winkel

1060TextSRegularPerturbation
21 Apr 2019  Technique Narratives  Contributor(s): Mark A. Lau
This Technique Narrative presents an introduction to a set of analytical approximations referred to as regular perturbation.This is a particular mathematical tool within the broader set of perturbation methods. In general, perturbation methods are analytical techniques for obtaining...

1061SPotatoCooling
05 Oct 2016  Modeling Scenarios  Contributor(s): Brian Winkel

1062SBacterialGrowth
15 Sep 2018  Modeling Scenarios  Contributor(s): Arati Nanda Pati
We offer students a simulation experience or data from a simulation and ask them to model the simulation using several approaches andusing EXCEL spreadsheet. In this particular modeling scenario, we know the exact solution and want to see how various models predict our expectations. We have used...

1063SThreeHoleColumn
15 Dec 2018  Modeling Scenarios  Contributor(s): Brian Winkel
We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.

1064STorricelliBox
14 Aug 2017  Modeling Scenarios  Contributor(s): Brian Winkel
The time it takes a column of water to empty and the time it takes the same volume of column of water with a box (various sizes) submerged in the column of water are compared through modeling with Torricelli's Law.