Tags: Laplace transform

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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. 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...

  3. 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