
Green's Function for Heat Conduction in Annuli R15Phi00 and R51Phi00 with Type 1 and Type 5 Boundary Conditions
16 Oct 2014  Papers  Contributor(s): Donald E. Amos
Abstract The Green’s function is the principal tool in construction of the general...

Green's Function for Heat Conduction in an Annulus R55Phi00 with Type 5 Boundary Conditions
14 Oct 2014  Papers  Contributor(s): Donald E. Amos
Abstract The Green’s function is the principal tool in construction of the general...

Green's Function for Heat Conduction in an Infinite Hollow Cylinder R50 with a Type 5 Boundary Condition
05 May 2014  Papers  Contributor(s): Donald E. Amos
The Green’s function is the principal tool in construction of the general solution to the...

Green's Function for Heat Conduction in a Semiinfinite Medium X50 with a Type 5 Boundary Condition
01 May 2014  Papers  Contributor(s): Donald E. Amos
The Green's function is the principal tool in construction of the general solution to the...

Green's Function for Heat Conduction in a Hollow Cylinder R55 with Type 5 Boundary Conditions
25 Mar 2014  Papers  Contributor(s): Donald E. Amos
Abstract The Green's function is the principal tool in construction of the general solution...

Green's Function for Heat Conduction in a Slab X55 with Type 5 Boundary Condtions
10 Mar 2014  Papers  Contributor(s): Donald E. Amos
The Green's function is the principal tool in construction of the general solution to the...

Heat Conduction in a Hollow Cylinder R55T0 and Subcases
08 Mar 2014  Papers  Contributor(s): Donald E. Amos
A hollow cylinder is heated on both surfaces with known fluxes which are partly dissipated by...

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...

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...

Green's Function For Radial Heat Conduction in TwoRegion Composite Cylinders With Imperfect Boundary Contact
31 Jul 2013  Papers  Contributor(s): Donald E. Amos
This paper presents the derivation of the Green's function for composite cylinders 0a...

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...

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...

Handbook of Integrals Related to Heat Conduction and Diffusion
03 May 2012  Papers  Contributor(s): Donald E. Amos
This handbook is presented in four parts. Chapter 1 presents a Table of Integrals with...

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...

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...

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)...

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...