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Heat Conduction in a Slab X55T0 and Sub-cases
05 Mar 2014 | Papers | Contributor(s): Donald E. Amos
A slab is heated on both faces with known fluxes which are partly dissipated by conduction into the slab, partly lost to the exterior media, and partly stored in a boundary layer with only heat...
Theory of Heat Conduction with Type 5 Boundary Condition
19 Feb 2014 | Papers | Contributor(s): Donald E. Amos
In the classical theory, the general solution of the heat conduction problem is expressed in terms of the Green's function. Terms which take into account volumetric heat generation, an initial...
Green's Function For Radial Heat Conduction in Two-Region Composite Cylinders With Perfect Boundary Contact
20 Mar 2013 | Papers | Contributor(s): Donald E. Amos
This paper presents the derivation of the Green's function for composite cylinders 0<r<a and r>a in perfect contact on the surface r=a. Because the source function can be in either...
1-D Green's Functions For Heat Conduction Between Semi-infinite Slabs With Perfect and Imperfect Boundary Contact
17 Jan 2013 | Papers | Contributor(s): Donald E. Amos
This document presents two derivations for 1-D Green's functions
for semi-infinite slabs in contact along the boundary x=0. The case of
imperfect contact with a heat transfer coefficient h is...
Theory of Heat Conduction for Two Region Problems Using Green's Functions
03 Apr 2012 | Papers | 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...
Green's Functions For Heat Conduction in Adjacent Materials
11 Mar 2012 | Papers | 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
Transient Heat Conduction in Adjacent Quadrants Separated by a Thermal Resistance
19 Jan 2012 | Papers | 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...
Carslaw and Jaeger solutions cataloged using the Beck and Litkouhi heat conduction notation
07 Nov 2011 | Teaching Materials | Contributor(s): James Vere Beck, Greg Walker
The analytical solutions of Carslaw and Jaeger are
cataloged using the Beck and Litkouhi heat conduction notation.
This document was contributed by James V. Beck and Elaine P. Scott.
Transient Heat Conduction in Adjacent Materials Heated on Part of the Common Boundary
01 Nov 2011 | Papers | 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
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23 Sep 2011 | Tools | Contributor(s): Greg Walker, James Vere Beck
High-precision analytic conduction in parallelepipeds using Green's functions
Lecture 9: Introduction to Phonon Transport
17 Aug 2011 | Online Presentations | Contributor(s): Mark Lundstrom
This lecture is an introduction to phonon transport. Key similarities and differences between electron and phonon transport are discussed.