Resources (1-10 of 10)

1. 1-D Green's Functions For Heat Conduction Between Semi-infinite Slabs With Perfect and Imperfect Boundary Contact

   17 Jan 2013 | | Contributor(s):: Donald E. Amos

   This document presents two derivations for 1-D Green's functionsfor semi-infinite slabs in contact along the boundary x=0. The case ofimperfect contact with a heat transfer coefficient h is derived and the caseof perfect contact is obtained by taking h to infinity. The two dimensionalcase with...

2. 1D Finite Different Method Conduction Heat Transfer Tool

   01 Sep 2011 | | Contributor(s):: Nicholas Roberts

   Simple 1D Finite Difference Method Tool for Undergraduate Heat Transfer Course

3. Analytic conduction solutions

   01 Sep 2011 | | Contributor(s):: Greg Walker, James Vere Beck

   High-precision analytic conduction in parallelepipeds using Green's functions

4. Eigenvalues for analytic conduction solutions

   07 Nov 2011 | | Contributor(s):: James Vere Beck, Greg Walker

   A matlab script that is useful for calculating eigenvalues of cartesian geometries for boundary conditions of the first second and third kinds (XIJ) is provided.J. V. Beck and A. Haji-Sheik

5. Green's Functions For Heat Conduction in Adjacent Materials

   13 Jan 2012 | | Contributor(s):: Donald E. Amos

   This paper considers classical linear, transient heat conduction problems set in Regions 1 and 2 defined by the half planes x>0 and x

6. Jupyter Notebook for 2D Conduction in a Rectangular Corner

   10 May 2023 | | Contributor(s):: Nicholas Dang

   This script is a fully annotated Jupyter notebook that is targeted for use as a supplement to student learning of numerical methods in a typical undergraduate heat transfer course. The notebook explains the role of linear algebra in the problem set up, provides figures for visualizing the...

7. Jupyter Notebook for 2D Conduction in a Rounded Corner

   10 May 2023 | | Contributor(s):: Nicholas Dang

   This script is a fully annotated Jupyter notebook that is targeted for use as a supplement to student learning of numerical methods in a typical undergraduate heat transfer course. The notebook explains the role of linear algebra in the problem set up, provides figures for visualizing the...

8. Theory of Heat Conduction for Two Region Problems Using Green's Functions

   03 Apr 2012 | | Contributor(s):: Donald E. Amos

   This paper derives equations which describe transient temperature distributions in adjacent regions which share a common boundary. These regions consist of materials with distinct, constant physical properties. The theory is developed for two types of boundary contact. The first formula is...

9. Transient Heat Conduction in Adjacent Materials Heated on Part of the Common Boundary

   01 Nov 2011 | | Contributor(s):: Donald E. Amos

   This paper considers a classical linear, transient heat conduction problem set in Regions 1 and 2 defined by the half planes x>0 and x

10. Transient Heat Conduction in Adjacent Quadrants Separated by a Thermal Resistance

    19 Jan 2012 | | Contributor(s):: Donald E. Amos, James Vere Beck, Filippo de Monte

    Abstract Two linear, transient heat conduction problems set in quadrants 1 and 2 of the (x,y) plane are solved. In each problem, the quadrants have distinct, constant physical properties and are separated by an infinitely thin thermal resistance along the y-axis. Each region is initially at zero...