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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 | | 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...
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A Heat Transfer Calculation
20 Mar 2019 | | Contributor(s):: Adam Powell
Outline the steps required to calculate the temperature at the interface between a stationary solid and a fluid flowing past it.
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Analytic conduction solutions
01 Sep 2011 | | Contributor(s):: Greg Walker, James Vere Beck
High-precision analytic conduction in parallelepipeds using Green's functions
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Argon Quenching of Ni-based Alloy Cylindrical Bars
20 Mar 2019 | | Contributor(s):: Matthew John M. Krane
Calculate radiation viewfactors and power transferred between various parts of an zirconia physical vapor deposition chamber.
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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
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Cast-a-Box: Casting Conditions and Macroporosity
30 Mar 2019 | | Contributor(s):: Adam Powell
An illustration of three-dimensional finite difference simulation of heat conduction with phase change and complex boundary conditions, this requires students to adjust boundary conditions to make the top surface of a regular hexahedral "casting" to freeze last, eliminating...
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Casting of a Cylindrical Part in a Thermally Resistive Mold
30 Mar 2019 | | Contributor(s):: Matthew John M. Krane
Use of integral analysis for development of approximate solution for solidification in cylindrical thermally resistive mold.
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Crystal-free Zone in a Glass-Ceramic Dish
28 May 2019 | | Contributor(s):: Adam Powell
Estimate the thickness of the crystal-free surface layer in a glass-ceramic dish by relating a heat equation solution to the T-T-T diagram.
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Donald E. Amos
https://nanohub.org/members/59706
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Electron Beam Centrifugal Atomization of Metal
16 May 2019 | | Contributor(s):: Adam Powell
Use a heat balance to calculate electron beam power required to continuously heat and melt metal as it is atomized, including heat losses from the top surface due to evaporation and radiation.
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Finite Differences in Heat Conduction
15 Aug 2019 | | Contributor(s):: Adam Powell
Calculate computational work required to model heat conduction using finite differences with explicit timestepping.
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Freezing by Radiation and Convection
16 May 2019 | | Contributor(s):: Adam Powell
Use radiation and a heat transfer coefficient to estimate the initial rate of solidification of the solid shell at the top of a casting while the temperature in the shell can be considered uniform, then set up the equation for mixed conduction/convection-radiation limited cooling.
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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...
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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
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Heat Conduction and Diffusion in Alloy Casting
16 May 2019 | | Contributor(s):: Adam Powell
Derive temperature and liquid concentration profiles during die casting of a roughly plate-shaped alloy part.
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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 current...
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Heat Loss Through Furnace Window
19 Aug 2019 | | Contributor(s):: Matthew John M. Krane
Solution of steady state heat conduction with approximate radiation boundary condition, the applicability of which is tested.
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Heat Transfer, Cost Modeling and Process Selection
28 Aug 2019 | | Contributor(s):: Adam Powell
Case study of polymer matrix composite process selection between resin transfer molding and chopped fiber injection molding, including heat conduction to calculate solidification time and technical cost modeling.
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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.
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Radiation in Electrostatic Levitation
15 Aug 2019 | | Contributor(s):: Adam Powell
Calculate total power radiated between square plates and a levitated spherical droplet, and discuss heat conduction mechanisms in the droplet.