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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...
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...
Green's Functions For Heat Conduction in Adjacent Materials
11 Mar 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
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
Transient Heat Conduction in Adjacent Quadrants Separated by a Thermal Resistance
07 Nov 2011 | | 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...
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
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
Analytic conduction solutions
01 Sep 2011 | | Contributor(s):: Greg Walker, James Vere Beck
High-precision analytic conduction in parallelepipeds using Green's functions