Tags: tank

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  1. 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.

  2. 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.

  3. FirstOrderModels

    03 Mar 2018 | | Contributor(s):: Unknown

    Modeling with First Order EquationsMathematical models characterize physical systems, often using differential equations.Model Construction: Translating physical situation into mathematical terms. Clearly state physical principlesbelieved to govern process. Differential equation is a mathematical...

  4. 2012-DeboeckEtAl-Modeling Long-Term Growth to Short-Term Fluctuations

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

    Deboeck,  Pascal R. , Jody S. Nicholson, C. S. Bergeman, Kristopher J. Preacher. 2012. From Modeling Long-Term Growth to Short-Term Fluctuations: Differential Equation Modeling is the Language of Change. Prepring from the 202 Proceedings of the International Meeting of the Psychometric...

  5. 2012-Applied Differential Equations

    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 mixing,...

  6. 2013-Slavik-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.Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix representation of the linear mixing model of differential equations. Keywords: tank, circula,...

  7. Joyner - Mixing Problems

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

    Joyner, David. Mixing Problems in ODEs. Notes. 4 pp. https://www.usna.edu/Users/math/wdj/_files/documents/teach/sm212/DiffyQ/de-mixing.pdf . Accessed 10 September 2017.Here is what this material is about,“Suppose that we have two chemical substances where one is soluable in the other, such...

  8. Chapter Nine – Mathematical Models with Differential Equations.

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

    Chapter Nine – Mathematical Models with Differential Equations. From unknown text. pp. 582-622. http://higheredbcs.wiley.com/legacy/college/anton/0470183454/add_materials/mathematical_modeling_with_diff_equations.pdfThis is a rich chapter from unknown text with rich text and...

  9. Nichols 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

  10. 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. You...

  11. 2011-Shibberu-DEClassNotes

    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 2017 This is a very good set of course slides and the Table of Contents is given here. Since this is a mathematics...

  12. 1999-Hanin-WhichTankEmptiesFirst

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

    Hanin, Leonid G. 1999. Which tank empties first?  The American Mathematical Monthly.  106(10): 943-947.  Preprint.From the opening of the paper, “Suppose that water towers like those shown in Figure 1 are initially filled with water and have the same volume, height, and...

  13. 2009-Recktenwald-TankDrainingExercise

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

    Recktenwald, G. 2009. Tank Draining Exercise.   http://eet.cecs.pdx.edu/expt/tankdrain/pdf/tankDrainingLabExercise_Fall09.pdf . 16 pp. Accessed 7 September 2017.As part of an experience Engineering in Everyday Things this paper describe deep mathematics, including differential equations...

  14. Gustafson-2250 Systems Differential Equations Applications

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

    Gustafson, G. B. Systems of Differential Equations, Chapter 11. 69 pp.This material is from a wealth of other material authored by Grant B. Gustafson in the Mathematics Department at the University of Utah.  See http://www.math.utah.edu/~gustafso/  for up to date information on his...

  15. 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...

  16. 2014-BlomhojEtAl-CompartmentModels

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

    Blomhøj, M. , T. H. Kjeldsen, and J. Ottesen. 2014. Compartment models.   http://www4.ncsu.edu/~msolufse/Compartmentmodels.pdf . Accessed 7 September 2017.From the first paragraph, “Background: It is important to master the ability to develop models. Modeling of...

  17. 2012-Woods-ModelingConcentrationInTank

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

    Woods, Christian. 2012. Modeling concentration of a solution.   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 tank mixing...

  18. 1998Claus-McGahan-Modeling Projects In DE Course

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

    Claus-McGahan, Elly. 1998. Modeling Projets in a Differential Equations Course.  PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 8(2): 137-149Abstract: Much has been said about the benefits of using projects in teaching the calculus sequence. Here we dis cuss...

  19. 1-057-S-FiguringFluidFlow

    15 Aug 2017 | | 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.

  20. 1-042-S-Kool-Aid

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

    We model the amount of drink powder in a second tank of a two tank flow system.