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Fixed videos
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wallytutor committed Aug 5, 2024
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# -*- coding: utf-8 -*-
using Revise
using Documenter
using Documenter.DocMeta: setdocmeta!
using DocumenterCitations
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27 changes: 27 additions & 0 deletions docs/src/Science/04-Continuum-Mechanics.md
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![](https://www.youtube.com/embed/rrZgH7y15XU)

In fact it is in this lecture that the stripping of dimensions of the equation as presented above in 020 is formalized; *do not even try to solve a problem before making it dimensionless*. The general procedure for making differential operators dimensionless is summarized as follows:

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#bessel-function

![](https://www.youtube.com/embed/Bi9jWgw_aQ8)

*Always start any modeling with the simplest geometry that captures the basic features of the system being modeled; e.g. when expanding a solution of reaction-diffusion into exponential terms, it is worth noticing that they can be replaced by hyperbolic functions, and since $\sinh$ breaks the symmetry, that term may be eliminated already during constant identification from boundary conditions*.

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#dimless-peclet #plug-flow #convection-diffusion

![](https://www.youtube.com/embed/LBSzqxjQl2k)

Similarly to lecture 019, here we develop convection-diffusion equation instead; in this case the flux of a transported concentration $C$ is given by the following expression:

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![](https://www.youtube.com/embed/328868nsFH4)

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![](https://www.youtube.com/embed/aEe10NkgI98)

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#dimless-peclet #plug-flow

![](https://www.youtube.com/embed/hdkt3S78f8A)

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