Papers (1-8 of 8)

1. Heat Conduction in a Slab X55T0 and Sub-cases

   Papers | 05 Mar 2014 | 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 capacity. This description of each boundary condition is known as a Type 5 condition and in the current...

2. Theory of Heat Conduction with Type 5 Boundary Condition

   Papers | 19 Feb 2014 | 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 temperature distribution and boundary conditions can be identified. In the current literature (...

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

   Papers | 20 Mar 2013 | 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...

4. 1-D Green's Functions For Heat Conduction Between Semi-infinite Slabs With Perfect and Imperfect Boundary Contact

   Papers | 17 Jan 2013 | Contributor(s):: Donald E. Amos

   This document presents two derivations for 1-D Green's functionsfor semi-infinite 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...

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

   Papers | 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...

6. Green's Functions For Heat Conduction in Adjacent Materials

   Papers | 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

7. Transient Heat Conduction in Adjacent Quadrants Separated by a Thermal Resistance

   Papers | 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 y-axis. Each region is initially at zero...

8. Transient Heat Conduction in Adjacent Materials Heated on Part of the Common Boundary

   Papers | 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