Green's Function For Radial Heat Conduction in Two-Region Composite Cylinders With Perfect Boundary Contact

20 Mar 2013 | Publications | 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 region, …

https://nanohub.org/resources/16482

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

17 Jan 2013 | Publications | 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 …

https://nanohub.org/resources/15237

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

03 Apr 2012 | Publications | 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 …

https://nanohub.org/resources/13671

Green's Functions For Heat Conduction in Adjacent Materials

11 Mar 2012 | Publications | 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 | Publications | 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 | Publications | 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

Analytic conduction solutions

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

High-precision 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