
1D Green's Functions For Heat Conduction Between Semiinfinite Slabs With Perfect and Imperfect Boundary Contact
17 Jan 2013   Contributor(s):: Donald E. Amos
This document presents two derivations for 1D Green's functionsfor semiinfinite slabs in contact along the boundary x=0. The case ofimperfect contact with a heat transfer coefficient h is derived and the caseof perfect contact is obtained by taking h to infinity. The two dimensionalcase with...

Theory of Heat Conduction for Two Region Problems Using Green's Functions
03 Apr 2012   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...

Green's Functions For Heat Conduction in Adjacent Materials
11 Mar 2012   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   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 separated by an infinitely thin thermal resistance along the yaxis. Each region is initially at zero...

Transient Heat Conduction in Adjacent Materials Heated on Part of the Common Boundary
01 Nov 2011   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