Tags: heat conduction

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  1. 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.

  2. 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.

  3. 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.

  4. Radiative Cooling of an Aluminum Cube

    09 Apr 2019 | | Contributor(s):: Adam Powell

    Show that radiative cooling of an aluminum cube is Newtonian (uniform temperature), and calculate time required to cool through a certain temperature range by radiation alone.

  5. Cast-a-Box: Casting Conditions and Macroporosity

    07 Apr 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...

  6. 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.

  7. 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.

  8. 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.

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

    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...

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

    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...

  12. 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...

  13. 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...

  14. 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

  15. 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 y-axis. Each region is initially at zero...

  16. 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

  17. 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

  18. Donald E. Amos

    http://nanohub.org/members/59706

  19. Analytic conduction solutions

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

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

  20. 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.