The previous sections of the tutorial handled the basic formulas behind building a Fourier model and creating a set of input functions. This section deals with formula implementation on the spreadsheet, the brief VBA code and the charting of the Fourier transform components. [sociallocker][/sociallocker] A Fourier Transform Model in Excel #3 by George Lungu – This is a tutorial about… Read More... "Spectral Analysis – a Fourier transform tutorial – part #3"
In this tutorial the Excel implementation of a Fourier transform is discussed. Seven input signals are created among which sinusoidal, rectangular and combinations of them. A Dirac impulse, an amplitude modulated (AM) signal and a frequency modulated (FM) signal are also added among the input signal options. [sociallocker][/sociallocker] A Fourier Transform Model in Excel #2 by George Lungu – This is… Read More... "Spectral Analysis – a Fourier transform tutorial – part #2"
This is a basic tutorial about implementation of a standard Fourier transform model in Excel. It is not an introduction to Fourier analysis. You could choose to familiarize yourself with the subject before proceeding with this tutorial. Solving a few Fourier transform excersises would be of help too. Essentially, this part shows you how to adapt the general Fourier formula for a continuous real… Read More... "Spectral Analysis – a Fourier transform tutorial – part #1"
This is a tutorial about the creation of an animated diffusion model based on the random walk principle. There are two different models, one based on a lattice style diffusion (the particles can move in a series of steps of a fixed distance, but only in multiples of a 90 degree angles: 0, 90, 180, 270) and another one based… Read More... "Brownian Motion Animation – a 2D random walk diffusion tutorial"
This tutorial explains how to build two animated random walk models, one where the particle is confined to square grid and one where the particle is free to step in any direction. The first model is adequate for modeling particle movement in solids while the second is more fit for modeling particle diffusion motion in fluids. [sociallocker][/sociallocker] A 2D Random… Read More... "A 2D Random Walk Animation Tutorial"
This is a model simulating a two-dimensional random walk in two variants, one by using a digital angle (in 90 degrees increments) and one using an analog angle between zero and 2*pi. This type of model (similar to the walk of a very drunk man) pertains very well to numerically solving Monte Carlo diffusion type problems. It is a brute force model using… Read More... "A 2D Random Walk Model – the “drunk man” animation"
This is an application to the previously derived 2D diffusion (heat transfer) model. The snow melting process is very similar to diffusion or heat transfer. Just open the model and hit “Start-Pause” to see for yourself. It is a 2003 model or earlier. I wasn’t able to run it in 2007 with animation but I’ve got some friends who managed to run… Read More... "The Melting Snow Castle – a diffusion model application"
This is the second half of the tutorial which shows how to build a basic animated 2D heat transfer model in Excel. [sociallocker][/sociallocker] Building a Dynamic Two Dimensional Heat Transfer Model – part #2 by George Lungu – This is the second half of a tutorial which shows how to build a basic dynamic heat conduction model of a square… Read More... "Building a Dynamic Two Dimensional Heat Transfer Model – part #2"
Here is the first part of a tutorial which shows how to build a two dimensional heat transfer model in Excel. The presentation shows how to partition a square plate in elementary elements on which the simplest form of the heat storage and heat transfer equations can be applied. The numerical form of the final temperature formula is derived . Building… Read More... "Building a Dynamic Two Dimensional Heat Transfer Model – part #1"
Here is a basic 2D heat transfer model. The first five worksheets model square plates of 30 x 30 elements. The last worksheet is the model of a 50 x 50 plate. You can modify the initial temperature by hand within the range C21:AF240. It is also a diffusion model. It uses the storage and transport equations derived in the previous tutorials.… Read More... "A Basic 2D Animated Heat Transfer Model (a diffusion model too)"
This is the last tutorial of the series and it shows how to implement the previously derived formulas into a spreadsheet model. The spreadsheet formulas, the macros and charting of the dynamic data is explained. [sociallocker][/sociallocker] Animated heat transfer modeling for the average Joe – part #4 by George Lungu – This is the last section of the beginner series… Read More... "Animated Heat Transfer Modeling for the Average Joe – part #4"
This section shows how to model heat transfer in a linear bar by dividing it in elementary sections in which the basic linear equations introduced in the previous tutorials can be used. Animated heat transfer modeling for the average Joe – part #3 by George Lungu – This is a new section of the beginner series of tutorials in heat… Read More... "Animated Heat Transfer Modeling for the Average Joe – part #3"
This is a continuation of the first part of the beginner series of tutorials in heat transfer modeling. The first part introduced the reader to the concept of heat capacity (being analogous to the electrical capacity). This section continues with the concept of heat conductance which is analogous to the electrical conductance. Ohm’s law applies. Toward the end, the principle… Read More... "Animated Heat Transfer Modeling for the Average Joe – part #2"
This the first tutorial on modeling heat transfer at a very introductory level. If you follow this series and spend your own effort in developing your own models you will be able to model heat transfer in very complex shapes (1D, 2D, 3D) in a short time and with the basic understanding of a 12 year old school boy. Animated heat transfer modeling… Read More... "Animated Heat Transfer Modeling for the Average Joe – part #1"