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Jean-Pierre Hickey
shockThickness_AIAA
Commits
c76c48b7
Commit
c76c48b7
authored
4 years ago
by
Jean-Pierre Hickey
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corrected figure format for Fig3
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5524eaa7
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Turbulent shock thickness estimation\n",
"\n",
"This notebook re\n",
"\n",
"$$\n",
"\\dfrac{\\partial \\widetilde{u}}{\\partial x} = \\dfrac{-\\frac{\\gamma +1}{2}(\\widetilde{u} - \\widetilde{u_u})(\\widetilde{u}- \\widetilde{u_d})}{A' \\left[ \\dfrac{1}{ M^2}-{\\gamma} + \\dfrac{\\gamma(1-\\Gamma) R_{11}}{\\tu^2}\\right]}\n",
"$$\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
%% Cell type:markdown id: tags:
# Turbulent shock thickness estimation
This notebook re
$$
\d
frac{
\p
artial
\w
idetilde{u}}{
\p
artial x} =
\d
frac{-
\f
rac{
\g
amma +1}{2}(
\w
idetilde{u} -
\w
idetilde{u_u})(
\w
idetilde{u}-
\w
idetilde{u_d})}{A'
\l
eft[
\d
frac{1}{ M^2}-{
\g
amma} +
\d
frac{
\g
amma(1-
\G
amma) R_{11}}{
\t
u^2}
\r
ight]}
$$
%% Cell type:code id: tags:
```
python
```
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