Tags: heat conduction

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

    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...

  2. Analytic conduction solutions

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

    High-precision analytic conduction in parallelepipeds using Green's functions

  3. Carslaw and Jaeger solutions cataloged using the Beck and Litkouhi heat conduction notation

    07 Nov 2011 | | Contributor(s):: James Vere Beck, Greg Walker

    The analytical solutions of Carslaw and Jaeger arecataloged using the Beck and Litkouhi heat conduction notation.This document was contributed by James V. Beck and Elaine P. Scott.Heat Conduction Using Green's Functions, J. Beck, K. Cole, A. Haji-Sheikh, and B. Litkouhi, Hemisphere, 1992

  4. Donald E. Amos

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

    09 Jan 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...

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

    13 Jan 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. Heat Conduction in a Slab X55T0 and Sub-cases

    21 Feb 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...

  8. Lecture 9: Introduction to Phonon Transport

    17 Aug 2011 | | Contributor(s):: Mark Lundstrom

    This lecture is an introduction to phonon transport. Key similarities and differences between electron and phonon transport are discussed.

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

    29 Mar 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...

  10. Theory of Heat Conduction with Type 5 Boundary Condition

    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 (...

  11. 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

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

    07 Nov 2011 | | 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...