Radiation in Hall–Héroult Cell Aluminum Smelting
29 Aug 2019 | | Contributor(s):: Adam Powell
Estimate heat flux from the graphite anode of a Hall-Heroult cell for smelting aluminum, and discuss uniformity of temperature across the anode.
Heat Transfer, Cost Modeling and Process Selection
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.
Spreadsheet Finite Difference Model of 1-D Unsteady Conduction
19 Aug 2019 | | Contributor(s):: David Dussault, Adam Powell
Use a spreadsheet to estimate temperature history across a PMMA plate immersed in a hot fluid.
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.
Finite Differences in Heat Conduction
19 Aug 2019 | | Contributor(s):: Adam Powell
Calculate computational work required to model heat conduction using finite differences with explicit timestepping.
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.
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.
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.
Heat Conduction and Diffusion in Alloy Casting
Derive temperature and liquid concentration profiles during die casting of a roughly plate-shaped alloy part.
Electron Beam Centrifugal Atomization of Metal
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.
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.
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...
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.
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.
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.
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...
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 (...
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...
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...
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...