Tags: heat

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  1. Potential Scenario Ideas : nuclear fusion for electric power generation?

    17 Jan 2022 | Contributor(s):: Andrew M Ross

    It occurred to me that students thinking about climate change might want to take a look at electric power generation via nuclear fusion. I know very little about this area, but perhaps someone out there does? I think students would be interested in just about any of the proposed technologies:...

  2. 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...

  3. 2014-Monagan, Michael - The House Warming Model. Department of Mathematics

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

    Monagan, Michael. 2014.  The House Warming Model. Department of Mathematics, Simon Fraser UniversitySee http://www.cecm.sfu.ca/~mmonagan/papers/HouseReporter.pdf .Maple commands: s o l v e , c o l l e c t , d s o l v e , o d e p l o t , D E p l o tIntroduction:...

  4. 2012-Bech, Michael Møller; Morten Lykkegaard Christensen; Lars Diekhöner; Christian Frier; Olav Geil; Erik Lund; Peter Nielsen; Thomas Garm Pedersen; Bo Rosbjerg - ResourcesForEngineeringApplicationsOfMath

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

    Bech, Michael Møller, Morten Lykkegaard Christensen, Lars Diekhöner, Christian Frier, Olav Geil,Erik Lund, Peter Nielsen, Thomas Garm Pedersen, Bo Rosbjerg. 2012. APPLICATIONS OF MATHEMATICSIN ENGINEERING AND SCIENCE. School of Engineering and Science, Aalborg University. 26...

  5. 2006-Lingefjard, Thomas - Faces of mathematical modeling

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

    Lingefjard, Thomas. 2006. Faces of mathematical modeling. ZDM. 38(2): 96-112.See https://subs.emis.de/journals/ZDM/zdm062a3.pdf .Abstract: In this paper I will discuss and exemplify my perspectives on how to teach mathematical modeling, as well as discuss quite different faces of...

  6. 2016-Moura, Scott - Chapter 1: Modeling ad Systems Analysis. Class Notes for CE 295

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

    Moura, Scott. 2016.  Chapter 1: Modeling ad Systems Analysis. Class Notes for CE 295 — Energy Systems and Control, University of California, Berkeley. 20 pp.Overview: The fundamental step in performing systems analysis and control design in energy systems is mathematical...

  7. 9-020-S-HeatDiffusion

    14 Oct 2019 | | Contributor(s):: Kimberly Spayd, James Puckett

    This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin...

  8. 3-150-S-ItsABlastFurnace

    13 Aug 2019 | | Contributor(s):: Kurt Bryan

    This project uses the steady-state heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.The heat flow is assumed to be steady-state, so that only an elementary ordinary differential equation (ODE) is needed, and...

  9. 7-011-Text-S-CoupledSystemLaplace

    31 Mar 2019 | | Contributor(s):: Mitaxi Pranlal Mehta

    Differential equations and Laplace transforms are an integral part of control problems in engineering systems. However a clear explanation of the relationship of Laplace transforms with the differential equation formalism is difficult to find for coupled differential equations. Here we describe...

  10. 7-020-S-ThermometerInVaryingTempStream

    22 Aug 2018 | | Contributor(s):: Norman Loney

    We present a differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.

  11. 9-001-Text-S-SkinBurnModelNumericalMethods

    18 Aug 2018 | | Contributor(s):: Suruchi Singh

    The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Here we learn to solve a heat equation numerically. It is difficult to study the behavior of temperature in problems with interfaces analytically so...

  12. 1-079-S-HomeHeating

    30 Jan 2018 | | Contributor(s):: Kurt Bryan

    This project concerns the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature or reheat it upon return? Both scenarios are analyzed in a series of exercises.

  13. 2005-Lie, Knut–Andreas - Introduction to Mathematical Modelling: Ordinary Differential Equations and Heat Equations

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

    Lie, Knut–Andreas.  2005. Introduction to Mathematical Modelling: Ordinary Differential Equations and Heat Equations. SINTEF ICT, Dept. Applied Mathematics  PowerPoint slide. 45 slides. www.uio.no/studier/emner/matnat/ifi/INF2340/v05/foiler/sim02.pdf  . Accessed 9 September...

  14. 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,...

  15. A Three-Fold Approach to the Heat Equation: Data, Modeling, Numerics

    13 Oct 2016 | Posted by Brian Winkel

    James Puckett and Kimberly Spayd have authored a wonderful article in the current issue of PRIMUS with full citation: Spayd, K. and J. Puckett. 2016. A Three-Fold Approach to the Heat Equation:...


  16. 1981-Berresford, Geoffrey C. - Differential Equations and Root Cellars

    25 Jun 2015 | | Contributor(s):: Geoffrey C. Berresford

    Berresford, Geoffrey C. 1981. Differential Equations and Root Cellars.  UMAP Unit 554. 23 pp. 23 pp. Available from http://www.comap.com.This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat...

  17. 1-031-S-CoolIt

    02 Jun 2015 | | Contributor(s):: Brian Winkel

    We offer data on the temperature of water in a beaker which resides in a room of constant temperature and also in an environment of nonconstant temperature. Students are encouraged to consider both empirical and analytic modeling approaches. We offer additional data sets in Excel spreadsheets...