
Heat Conduction in a Slab X55T0 and Subcases
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...
https://nanohub.org/resources/20381

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...
https://nanohub.org/resources/20365

Green's Function For Radial Heat Conduction in TwoRegion 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...
https://nanohub.org/resources/16482

1D Green's Functions For Heat Conduction Between Semiinfinite Slabs With Perfect and Imperfect Boundary Contact
17 Jan 2013  Papers  Contributor(s): Donald E. Amos
This document presents two derivations for 1D Green's functions
for semiinfinite slabs in contact along the boundary x=0. The case of
imperfect contact with a heat transfer coefficient h is...
https://nanohub.org/resources/15237

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...
https://nanohub.org/resources/13671

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
https://nanohub.org/resources/12856

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...
https://nanohub.org/resources/12465

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.
Heat...
https://nanohub.org/resources/12470

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
https://nanohub.org/resources/12390

Donald E. Amos
https://nanohub.org/members/59706

Analytic conduction solutions
23 Sep 2011  Tools  Contributor(s): Greg Walker, James Vere Beck
Highprecision analytic conduction in parallelepipeds using Green's functions
https://nanohub.org/resources/cond3d

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.
https://nanohub.org/resources/11869