Tags: tank

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  1. 9-002-S-GroundWaterFlow

    31 Aug 2020 | | Contributor(s):: Jeremy Cristman, Kenneth Luther, Michael Karls

    The goals of this project are to compare a conceptual one-dimensional groundwater flow model to observations made in a laboratory setting, and to discuss the differences. We derive the initial groundwater flow equation, and guide students through a solution. We describe the laboratory set up and...

  2. 2018-Blomhøj, M. , T.H. Kjeldsen, and J. Ottesen. 2018. Compartment models. Lecture Notes.

    01 Apr 2020 | | Contributor(s):: Brian Winkel

    M. Blomhøj, T.H. Kjeldsen, and J. Ottesen. 2018. Compartment models. Lecture Notes 47 pp.    Chapter 1 - Compartment ModelsBackground: It is important to master the ability to develop models. Modeling of dynamical systems plays a very important role in...

  3. 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 ...

  4. 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.

  5. 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...

  6. 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.

  7. 2012-Levermore. David - First-Order Ordinary Differential Equations II:  Graphical Methods and Applications

    01 Dec 2017 | | Contributor(s):: Brian Winkel

    Levermore. David. 21012. First-Order Ordinary Differential Equations II:  Graphical Methods and Applications. University of Maryland. Notes. 23 pp.5. First-Order Equations: General Theory5.1. Well-Posed Problems 25.2. Existence and Uniqueness 36. First-Order Equations:...

  8. 2012-Deboeck,  Pascal R. , Jody S. Nicholson, C. S. Bergeman, Kristopher J. Preacher - From Modeling Long-Term Growth to Short-Term Fluctuations: Differential Equation Modeling is the Language of Change.

    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. Preprint from the 202 Proceedings of the International Meeting of the Psychometric...

  9. 2017-University of Michigan - Math 216 Demonstrations

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

    Math 216 Demonstrations. https://instruct.math.lsa.umich.edu/lecturedemos/ma216/docs/ . Accessed 11 September 2017.This site contains many, many applications with good presentation and analysis as well as Matlab files to illustrate the concepts. For example modeling a swinging door with...

  10. 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...

  11. 2017-Unknown - Calculus for Engineers II-Sample Problems on mathematical modeling with differential equations

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

    Calculus for Engineers II-Sample Problems on mathematical modeling with differential equations. https://www.maths.tcd.ie/~manuela/Sample_1.pdf . Accessed 10 September 2017.Five modeling activities involved with emptying various tanks, projectile motion with resistance, and population growth...

  12. 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...

  13. 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

  14. 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....

  15. 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...

  16. 1999-Hanin, Leonid G. - Which tank empties first? Preprint.

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

    Hanin, Leonid G. 1999. Which tank empties first?  The American Mathematical Monthly.  106(10): 943-947.  Preprint.See https://www.tandfonline.com/doi/abs/10.1080/00029890.1999.12005143 .From the opening of the paper, “Suppose that water towers like those shown in...

  17. 2009-Recktenwald, G. - Tank Draining Exercise.

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

    Recktenwald, G. 2009. Tank Draining Exercise.See  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...

  18. 2017-Gustafson, G. B. - Differential Equations Course Materials

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

    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 productivity! One could spend hours looking through here for examples,...

  19. 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...

  20. 2014-Blomhøj, M. , T. H. Kjeldsen, and J. Ottesen - Compartment models

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

    Blomhøj, M. , T. H. Kjeldsen, and J. Ottesen. 2014. Compartment models.   See 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....