
2017Sim, Sy Yi, Sie Long Kek, and Kim Gaik Tay  Optimal control of a coupled tanks system with modelreality differences.
25 Mar 2020  Contributor(s):: Brian Winkel
2017SimEtAlOptControlCoupledTanksSystemSim, Sy Yi, Sie Long Kek, and Kim Gaik Tay. 2017. Optimal control of a coupled tanks system with modelreality differences. AIP Conference Proceedings. 1872, 020012.See https://aip.scitation.org/doi/10.1063/1.4996669 ...

5025SSaltCompatments
19 Jul 2019   Contributor(s):: Brian Winkel
Model a phenomena in which salt mixtures from two tanks are mixed using several strategies.

2019Yagodich, Dina  1042KoolAid Modeling Video
24 Feb 2019   Contributor(s):: Dina Yagodich
This is a video which can be used with students after they have worked on the Modeling Scenario 1042KoolAid. Dina Yagodich, Frederick Community College, Frederick MD USA produced the video in support of her students who thoroughly enjoyed doing this Modeling Scenario.This video is only...

7040STankInterruptMixing
22 Aug 2018   Contributor(s):: Norman Loney
We present a differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.

2012Unknown  Applied Differential Equations. Notes
11 Sep 2017   Contributor(s):: Brian Winkel
2012Applied Differential Equations. Notes. 34 pp.Set of notes on solution strategies for first order differential equations with attention to detail in solutions and several models: tank mixing problems, mortgage, escape velocityKeywords: differential equation, model, first order, tank...

2013Slavik, Antonin  Mixing Problems with Many Tanks.
10 Sep 2017   Contributor(s):: Brian Winkel
Slavik, Antonin. 2013. Mixing Problems with Many Tanks. Mathematics Monthly. 120: 806821.See https://www.tandfonline.com/doi/abs/10.4169/amer.math.monthly.120.09.806 .Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix...

2017Nichols, David  Review of Mixing Problems
10 Sep 2017   Contributor(s):: Brian Winkel
Nichols, David. Review of Mixing Problems. 5 pp.Examples of tank mixing problems and solutions with attention to formulation and solution strategies.Keywords: differential equation, mixing, tank, model

2017Unknown  Ten DE Application Problems
10 Sep 2017   Contributor(s):: Brian Winkel
Ten Application Problems of Differential EquationA list of 10 applications anonymous list with these instructions, “For each problem, set up a differential equation modeling the situation. Be sure to define your variables, state the units being used, and determine the initial condition....

2011Shibberu, Yosi  MA211 Differential Equations. Class Notes
09 Sep 2017   Contributor(s):: Brian Winkel
Shibberu, Yosi. 2011. MA211 Differential Equations. Class Notes. PowerPoint. 426 slides. https://www.rosehulman.edu/~shibberu/MA211/Slides.pdf . Accessed 1 September 2017This is a very good set of course slides and the Table of Contents is given here. Since this is a mathematics...

2009MartinezLuaces  Modelling Applications Inverse Modelling
07 Sep 2017   Contributor(s):: Brian Winkel
MartinezLuaces, Victor. 2009. Modelling, applications and inverse modelling: innovations in differential equations courses. Seventh Southern Right Delta Conference. pp. 159170.Abstract: Differential equations and Laplace transform are widely used to solve problems concerned with...

2017ShareTechNotes  Differential Equations Modeling: Example Mixing  Notes
05 Sep 2017   Contributor(s):: Brian Winkel
TechShareNotes. Differential Equations Modeling: Example Mixing. http://www.sharetechnote.com/. Accessed 4 September 2017.TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with...

2012Woods, Christian  Modeling concentration of a solution
05 Sep 2017   Contributor(s):: Brian Winkel
Woods, Christian. 2012. Modeling concentration of a solution. See https://www.math.ucsd.edu/~c1woods/teaching/tankproblem.pdf . Accessed 4 September 2017.These are teaching notes from when the author was a graduate student TA in 2012.This is a nice exposition of a...

1998ClausMcGahan, Elly  Modeling Projects in a Differential Equations Course
05 Sep 2017   Contributor(s):: Brian Winkel
ClausMcGahan, Elly. 1998. Modeling Projects in a Differential Equations Course. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 8(2): 137149.See https://www.tandfonline.com/doi/abs/10.1080/10511979808965890 .Abstract: Much has been said about the...

1042SKoolAid
26 Apr 2017   Contributor(s):: Kristin Burney, Lydia Kennedy, Audrey Malagon
Singlecompartment mixing is an important foundational component of any study of ordinary differential equations. Typically, problems utilize salt as the solute. In this modeling scenario, use of colored drink powder as the solute enables students to observe a color change as the mixing...

1052SSaltWaterTanks
27 Nov 2016   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.

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

1034SFishMixing
24 Dec 2015   Contributor(s):: Eric Sullivan, Elizabeth Anne Carlson
This activity gives students a chance to build the underlying differential equation and/or difference equation for a mixing problem using tangible objects (fish) and a studentdesigned restocking and fishing plan in a lake. The mixture is of two species of fish, one being the current sole...

1025SMixingItUp
04 Jun 2015   Contributor(s):: Brian Winkel
Students build three different models for levels of salt in a tank of water and at each stage the level of complexity increases with attention to nuances necessary for success.