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Continuous Casting Hydrostatics
Teaching Materials | 28 May 2019 | Contributor(s):: Matthew John M. Krane
A mixture of hydrostatics and the modified Bernoulli equation are used to determine the effect of fluid height in a tundish on the flow rate supplying liquid steel to a continuous casting mold.
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Crystal-free Zone in a Glass-Ceramic Dish
Teaching Materials | 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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Chemical Vapor Deposition
Teaching Materials | 28 May 2019 | Contributor(s):: Adam Powell
Calculate boundary layer sizes and deposition rate profiles along substrates on the bottom of a box-type chemical vapor deposition chamber.
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Flow Through a Catalytic Reactor
Teaching Materials | 16 May 2019 | Contributor(s):: Adam Powell
Use porous flow theory to describe pressure-flow rate and plug/mixing behavior of flow through a packed bed of catalyst spheres.
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Dimensional Analysis: Catalytic Combustion of Carbon Monoxide
Teaching Materials | 16 May 2019 | Contributor(s):: Adam Powell
Use dimensional analysis to understand how parameters and material properties determine uniformity of reactant gas concentration across porous spheres coated with catalysts.
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Freezing by Radiation and Convection
Teaching Materials | 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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Heat Conduction and Diffusion in Alloy Casting
Teaching Materials | 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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CD Injection Molding I: Navier-Stokes
Teaching Materials | 10 Apr 2019 | Contributor(s):: Adam Powell
State simplifying assumptions which can be made regarding radial injection molding of liquid polycarbonate polymer into a CD mold, and simplify the cylindrical form of the Navier-Stokes equations accordingly.
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CD Injection Molding II: Shear Stress
Teaching Materials | 09 Apr 2019 | Contributor(s):: Adam Powell
Solve the cylindrical Navier-Stokes equations simplified in Part I to give the velocity profile in radial injection molding of a CD, and calculate the shear stress based on this velocity profile.
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Radiative Cooling of an Aluminum Cube
Teaching Materials | 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.
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Bottom Filled Mold
Teaching Materials | 07 Apr 2019 | Contributor(s):: Matthew John M. Krane
Calculation of mold filling times, with and without a constant height of metal in a riser. Problem uses modified Bernoulli equation for the mechanical energy balance and the students are asked to determine which resistances are significant.
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Cast-a-Box: Casting Conditions and Macroporosity
Teaching Materials | 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...
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Batch and Continuous Flow Reactors
Teaching Materials | 30 Mar 2019 | Contributor(s):: Adam Powell
Derive expressions for productivity of plug flow and perfectly mixed continuous flow reactors, discuss quality, and describe advantages of batch reactors.
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Blood Filtration
Teaching Materials | 30 Mar 2019
Estimate flow rate of blood through two types of porous filter: an array of tubes and a packed bed of solid spheres.
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Blood Flow and Vascular Deposits
Teaching Materials | 30 Mar 2019
Analyze the effect of increasing fat deposit thickness on blood flow through human arteries.
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Casting of a Cylindrical Part in a Thermally Resistive Mold
Teaching Materials | 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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A Heat Transfer Calculation
Teaching Materials | 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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Application of Integral Analysis to Semi-infinite Diffusion Couple
Teaching Materials | 20 Mar 2019 | Contributor(s):: Matthew John M. Krane
Apply integral analysis to semi-infinite diffusion couple.
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Argon Quenching of Ni-based Alloy Cylindrical Bars
Teaching Materials | 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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Dimensional Analysis for Dummies
Teaching Materials | 20 Mar 2019
Derivation of the error function solution to the diffusion equation, and description of the point source in 1-, 2- and 3-dimensions..