diff --git a/docs/make.jl b/docs/make.jl index 76862401f..a869110f5 100644 --- a/docs/make.jl +++ b/docs/make.jl @@ -1,4 +1,5 @@ # -*- coding: utf-8 -*- +using Revise using Documenter using Documenter.DocMeta: setdocmeta! using DocumenterCitations diff --git a/docs/src/Science/04-Continuum-Mechanics.md b/docs/src/Science/04-Continuum-Mechanics.md index cc5094b5d..178ed3dab 100644 --- a/docs/src/Science/04-Continuum-Mechanics.md +++ b/docs/src/Science/04-Continuum-Mechanics.md @@ -386,6 +386,8 @@ Limiting cases are: ### 021 +![](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: $$ @@ -401,12 +403,16 @@ $$ #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*. ### 023 #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: $$ @@ -443,4 +449,25 @@ In the limiting case of $\mathrm{Pe}\gg{1}$ diffusion is much slower than convec ### 024 +![](https://www.youtube.com/embed/328868nsFH4) + ### 025 + +![](https://www.youtube.com/embed/aEe10NkgI98) + +### 026 + +#dimless-peclet #plug-flow + +![](https://www.youtube.com/embed/hdkt3S78f8A) + +### 027 + +### 028 + +### 029 + +### 030 + +### 031 +