Tags: mixing

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  1. 2017-Sim, Sy Yi, Sie Long Kek, and Kim Gaik Tay - Optimal control of a coupled tanks system with model-reality differences. 

    25 Mar 2020 | Contributor(s):: Brian Winkel

    2017-SimEtAl-OptControl-CoupledTanksSystemSim, Sy Yi, Sie Long Kek, and Kim Gaik Tay. 2017.  Optimal control of a coupled tanks system with model-reality differences. AIP Conference Proceedings. 1872, 020012.See https://aip.scitation.org/doi/10.1063/1.4996669 ...

  2. 5-025-S-SaltCompatments

    19 Jul 2019 | | Contributor(s):: Brian Winkel

    Model a phenomena in which salt mixtures from two tanks are mixed using several strategies.

  3. 2019-Yagodich, Dina - 1-042-Kool-Aid 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 1-042-KoolAid. 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...

  4. 7-040-S-TankInterruptMixing

    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.

  5. 2012-Unknown - Applied Differential Equations. Notes

    11 Sep 2017 | | Contributor(s):: Brian Winkel

    2012-Applied 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...

  6. 2013-Slavik, Antonin - Mixing Problems with Many Tanks.

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Slavik, Antonin. 2013. Mixing Problems with Many Tanks. Mathematics Monthly.  120: 806-821.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...

  7. 2017-Nichols, 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

  8. 2017-Unknown - 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....

  9. 2011-Shibberu, 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.rose-hulman.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...

  10. 2009-Martinez-Luaces - Modelling Applications Inverse Modelling

    07 Sep 2017 | | Contributor(s):: Brian Winkel

    Martinez-Luaces, Victor. 2009.  Modelling, applications and inverse modelling: innovations in differential equations courses. Seventh Southern Right Delta Conference.  pp. 159-170.Abstract: Differential equations and Laplace transform are widely used to solve problems concerned with...

  11. 2017-ShareTechNotes - 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...

  12. 2012-Woods, 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...

  13. 1998-Claus-McGahan, Elly - Modeling Projects in a Differential Equations Course

    05 Sep 2017 | | Contributor(s):: Brian Winkel

    Claus-McGahan, Elly. 1998. Modeling Projects in a Differential Equations Course.  PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 8(2): 137-149.See https://www.tandfonline.com/doi/abs/10.1080/10511979808965890 .Abstract: Much has been said about the...

  14. 1-042-S-Kool-Aid

    26 Apr 2017 | | Contributor(s):: Kristin Burney, Lydia Kennedy, Audrey Malagon

    Single-compartment 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...

  15. 1-052-S-SaltWaterTanks

    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.

  16. 1-051-S-OneTankSaltModel

    23 Jul 2016 | | Contributor(s):: Brian Winkel

    We offer students a chance to model a one compartment salt mixing model.

  17. 1-034-S-FishMixing

    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 student-designed restocking and fishing plan in a lake. The mixture is of two species of fish, one being the current sole...

  18. 1-025-S-MixingItUp

    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.