
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:...

9002SGroundWaterFlow
31 Aug 2020   Contributor(s):: Jeremy Cristman, Kenneth Luther, Michael Karls
The goals of this project are to compare a conceptual onedimensional 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...

2014Monagan, 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:...

2012Bech, 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...

2006Lingefjard, Thomas  Faces of mathematical modeling
25 Mar 2020   Contributor(s):: Brian Winkel
Lingefjard, Thomas. 2006. Faces of mathematical modeling. ZDM. 38(2): 96112.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...

2016Moura, 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...

9020SHeatDiffusion
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...

3150SItsABlastFurnace
13 Aug 2019   Contributor(s):: Kurt Bryan
This project uses the steadystate 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 steadystate, so that only an elementary ordinary differential equation (ODE) is needed, and...

7011TextSCoupledSystemLaplace
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...

7020SThermometerInVaryingTempStream
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.

9001TextSSkinBurnModelNumericalMethods
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...

1079SHomeHeating
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.

2005Lie, 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...

2017Gustafson, 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,...

A ThreeFold 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 ThreeFold Approach to the Heat Equation:...
https://www.simiode.org/blog/2016/10/athreefoldapproachtotheheatequationdatamodelingnumerics

1981Berresford, 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...

1031SCoolIt
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...