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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 | 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 derived and the case
of perfect contact is obtained by taking h to infinity. The two dimensional
case …
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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, there are two pairs of functions which define the Green's function. Each pair is the solution to a …
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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
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Handbook of Integrals Related to Heat Conduction and Diffusion
03 May 2012 | Publications | Contributor(s): Donald E. Amos
This handbook is presented in four parts. Chapter 1 presents a Table of Integrals with references to Chapter 2 where the main formulae are presented in handbook format. Formulae presented in Chapter 2 reference Chapter 3 where the derivations are presented in full detail in sub-sections called …
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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 properties. The theory is developed for two types of boundary contact. The first formula is …
