Category Archives: Tools and methods

Static and Dynamic Coefficients in Matrix Thermal Solutions

Recalling yesterday’s initial heat balance equation for each node: it should be noted that the values of both the specific heat and the thermal conductivity of steel are themselves functions of temperature. That means that these values need to be … Continue reading

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A Specific Example of Equations To Be Solved By Matrix

Dividing a cross-section of a steel billet into nodes, we can start by looking at the energy balance for each node: All this equation is saying is that the change in the quantity of energy in a given node per … Continue reading

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Efficient Matrix Solutions for Special Classes of Engineering Problems

There are a large class of analogous engineering problems that may be addressed with a particular mathematical solution. Fluid systems where volumes containing fluid are connected by fluid flows, mechanical systems where masses are connected by springs and dashpots (which … Continue reading

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Controlling the Animation

One way to pause a running animation is simply to inhibit the action as shown in the first example below, and based on the following code. As you can see, the window.requestAnimationFrame is still called, but setting the value of … Continue reading

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More Basic Animation

Today I continued experimenting with the techniques I started using yesterday. I tried the exercise with filled circles and also after having placed additional objects on the screen. The only drawing modes that came close to supporting what I was … Continue reading

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Beginnings of an Animation

I wrote various two- and three-dimensional animations for years and am looking into various aspects of the practice beginning here. I took a course in computer graphics during my senior year in college using Microsoft Pascal on first-generation IBM PCs … Continue reading

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The Steam Table Form… Finally!

About two months ago I started making a web form that allowed a user to calculate thermodynamic values for saturated water as functions of either temperature and pressure. I got sidetracked for quite a while working on the graphing capability … Continue reading

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Extending the Thermodynamic Functions To Their Full Range: Functions vs. Pressure

While finishing up the process of generating the plots of the thermodynamic functions vs. pressure I found an issue with how plots are drawn on the x-axis when the x-axis has a logarithmic scale. I calculated numeric values for every … Continue reading

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Extending the Thermodynamic Functions To Their Full Range

Today I extended all 24 functions to their full range, 0-705.44 °F and 0.08866-3203.6 psi. I’ve shown the functions vs. temperature; the functions vs. pressure are generally derived from the same lines in the steam tables so the only difference … Continue reading

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Fixing the Thermodynamic Functions for Saturated Water As A Function of Temperature

I’ve updated five of the thermodynamic property functions vs. temperature. Note that most of these define properties only up to a bit above 600 °F and, more importantly, to 1800 psi. The values for saturated water are defined up to … Continue reading

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