CI script: URL for miktexsetup changed

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Nicolas 2025-06-09 16:06:37 +02:00
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- name: Set up MiKTeX Portable - name: Set up MiKTeX Portable
if: steps.cache.outputs.cache-hit != 'true' if: steps.cache.outputs.cache-hit != 'true'
run: | run: |
Invoke-WebRequest https://miktex.org/download/win/miktexsetup-x64.zip -OutFile miktexsetup-x64.zip Invoke-WebRequest https://www.nonan.net/w/files/miktexsetup-x64.zip -OutFile miktexsetup-x64.zip
Expand-Archive miktexsetup-x64.zip -DestinationPath . Expand-Archive miktexsetup-x64.zip -DestinationPath .
.\miktexsetup_standalone.exe --package-set=basic --portable=.\miktex-portable ` .\miktexsetup_standalone.exe --package-set=basic --portable=.\miktex-portable `
--use-registry=no --modify-path=no --quiet ` --use-registry=no --modify-path=no --quiet `

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<div class="document"><h1>Thermal Conductivity of Mixtures</h1> <div class="document">
<h1>Thermal Conductivity of Mixtures</h1>
<p>The determination of the thermal conductivity of gas mixtures is a central aspect of modeling <p>The determination of the thermal conductivity of gas mixtures is a central aspect of modeling
transport phenomena, particularly in high-temperature and high-pressure processes. Among the transport phenomena, particularly in high-temperature and high-pressure processes. Among the
most established approaches is the empirical equation introduced by Wassiljewa, which was most established approaches is the empirical equation introduced by Wassiljewa, which was
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@ -7,16 +7,12 @@ This model offers a reliable means of estimating the thermal conductivity of gas
on the properties of the pure components and their molar interactions. on the properties of the pure components and their molar interactions.
The thermal conductivity of a gas mixture, denoted by \(\lambda_{\text{mix}}\), can expressed as The thermal conductivity of a gas mixture, denoted by \(\lambda_{\text{mix}}\), can expressed as
shown in equation \ref{eq:lambda-mixture}. shown in equation \ref{eq:lambda-mixture}.\begin{equation}\label{eq:lambda-mixture}\lambda_{ ext{mix}} = \sum_{i=1}^{n} \frac{x_i \lambda_i}{\sum_{j=1}^{n} x_j \Phi_{ij}}\end{equation}In this equation, \(x_i\) represents the molar fraction of component \(i\) within the mixture,
\begin{equation}\label{eq:lambda-mixture}\lambda_{ ext{mix}} = \sum_{i=1}^{n} \frac{x_i \lambda_i}{\sum_{j=1}^{n} x_j \Phi_{ij}}\end{equation}
In this equation, \(x_i\) represents the molar fraction of component \(i\) within the mixture,
while \(\lambda_i\) denotes the thermal conductivity of the pure substance \(i\). The denominator while \(\lambda_i\) denotes the thermal conductivity of the pure substance \(i\). The denominator
contains the interaction parameter \(\Phi_{ij}\), which describes the influence of component contains the interaction parameter \(\Phi_{ij}\), which describes the influence of component
\(j\) on the transport properties of component \(i\). \(j\) on the transport properties of component \(i\).
The interaction parameter \(\Phi_{ij}\) is given by the relation shown in equation \ref{eq:interaction-parameter}. The interaction parameter \(\Phi_{ij}\) is given by the relation shown in equation \ref{eq:interaction-parameter}.\begin{equation}\label{eq:interaction-parameter}\Phi_{ij} = \frac{1}{\sqrt{8}} \left(1 + \frac{M_i}{M_j} \right)^{-1/2} \left[ 1 + \left( \frac{\lambda_i}{\lambda_j} \right)^{1/2} \left( \frac{M_j}{M_i} \right)^{1/4} \right]^2\end{equation}Here, \(M_i\) and \(M_j\) are the molar masses of the components \(i\) and \(j\), respectively.
\begin{equation}\label{eq:interaction-parameter}\Phi_{ij} = \frac{1}{\sqrt{8}} \left(1 + \frac{M_i}{M_j} \right)^{-1/2} \left[ 1 + \left( \frac{\lambda_i}{\lambda_j} \right)^{1/2} \left( \frac{M_j}{M_i} \right)^{1/4} \right]^2\end{equation}
Here, \(M_i\) and \(M_j\) are the molar masses of the components \(i\) and \(j\), respectively.
Molar masses and thermal conductivity of the pure substances are listed in table \ref{table:gas-probs}. Molar masses and thermal conductivity of the pure substances are listed in table \ref{table:gas-probs}.
The structure of this expression illustrates the nonlinear dependence of the interaction term on The structure of this expression illustrates the nonlinear dependence of the interaction term on
both the molar mass ratio and the square root of the conductivity ratio of the involved species. both the molar mass ratio and the square root of the conductivity ratio of the involved species.

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</style> </style>
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<div class="document"><h1>Special characters</h1> <div class="document">
<h1>Special characters</h1>
<p>ö ä ü Ö Ä Ü ß @ ∆</p> <p>ö ä ü Ö Ä Ü ß @ ∆</p>
<p>π ≈ ± ∆ Σ</p> <p>π ≈ ± ∆ Σ</p>
<p>£ ¥ $ €</p> <p>£ ¥ $ €</p>
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<g id="svg-fig:auto1-line2d_8"> <g id="svg-fig:auto1-line2d_8">
<g> <g>
<use xlink:href="#svg-fig:auto1-m7e28b8cc70" x="57.6" y="155.52" style="stroke: #000000; stroke-width: 0.8"/> <use xlink:href="#svg-fig:auto1-mb890c479b6" x="57.6" y="155.52" style="stroke: #000000; stroke-width: 0.8"/>
</g> </g>
</g> </g>
<g id="svg-fig:auto1-text_8"> <g id="svg-fig:auto1-text_8">
@ -1071,7 +1072,7 @@ z
<g id="svg-fig:auto1-ytick_5"> <g id="svg-fig:auto1-ytick_5">
<g id="svg-fig:auto1-line2d_9"> <g id="svg-fig:auto1-line2d_9">
<g> <g>
<use xlink:href="#svg-fig:auto1-m7e28b8cc70" x="57.6" y="104.832" style="stroke: #000000; stroke-width: 0.8"/> <use xlink:href="#svg-fig:auto1-mb890c479b6" x="57.6" y="104.832" style="stroke: #000000; stroke-width: 0.8"/>
</g> </g>
</g> </g>
<g id="svg-fig:auto1-text_9"> <g id="svg-fig:auto1-text_9">
@ -1126,7 +1127,7 @@ z
<g id="svg-fig:auto1-ytick_6"> <g id="svg-fig:auto1-ytick_6">
<g id="svg-fig:auto1-line2d_10"> <g id="svg-fig:auto1-line2d_10">
<g> <g>
<use xlink:href="#svg-fig:auto1-m7e28b8cc70" x="57.6" y="54.144" style="stroke: #000000; stroke-width: 0.8"/> <use xlink:href="#svg-fig:auto1-mb890c479b6" x="57.6" y="54.144" style="stroke: #000000; stroke-width: 0.8"/>
</g> </g>
</g> </g>
<g id="svg-fig:auto1-text_10"> <g id="svg-fig:auto1-text_10">
@ -1457,7 +1458,7 @@ z
</g> </g>
</g> </g>
<defs> <defs>
<clipPath id="svg-fig:auto1-pc47365bf11"> <clipPath id="svg-fig:auto1-p385bf31f88">
<rect x="57.6" y="41.472" width="357.12" height="266.112"/> <rect x="57.6" y="41.472" width="357.12" height="266.112"/>
</clippath> </clippath>
</defs> </defs>
@ -1492,17 +1493,17 @@ z
<td id="T_example1_row1_col2" class="data row1 col2" >> 150 g/km</td> <td id="T_example1_row1_col2" class="data row1 col2" >> 150 g/km</td>
<td id="T_example1_row1_col3" class="data row1 col3" >4 stars</td> <td id="T_example1_row1_col3" class="data row1 col3" >4 stars</td>
<td id="T_example1_row1_col4" class="data row1 col4" >7.800000</td> <td id="T_example1_row1_col4" class="data row1 col4" >7.800000</td>
<td id="T_example1_row1_col5" class="data row1 col5" >1500 kg</td> <td id="T_example1_row1_col5" class="data row1 col5" >150 kg</td>
<td id="T_example1_row1_col6" class="data row1 col6" >250 Nm</td> <td id="T_example1_row1_col6" class="data row1 col6" >250 Nm</td>
</tr> </tr>
<tr> <tr>
<td id="T_example1_row2_col0" class="data row2 col0" >Line3</td> <td id="T_example1_row2_col0" class="data row2 col0" >Line3</td>
<td id="T_example1_row2_col1" class="data row2 col1" >110</td> <td id="T_example1_row2_col1" class="data row2 col1" >110</td>
<td id="T_example1_row2_col2" class="data row2 col2" >110 g/km</td> <td id="T_example1_row2_col2" class="data row2 col2" >-110 g/km</td>
<td id="T_example1_row2_col3" class="data row2 col3" >5 stars</td> <td id="T_example1_row2_col3" class="data row2 col3" >5 stars</td>
<td id="T_example1_row2_col4" class="data row2 col4" >8.500000</td> <td id="T_example1_row2_col4" class="data row2 col4" >8.500000</td>
<td id="T_example1_row2_col5" class="data row2 col5" >1400 kg</td> <td id="T_example1_row2_col5" class="data row2 col5" >140 kg</td>
<td id="T_example1_row2_col6" class="data row2 col6" >280 Nm</td> <td id="T_example1_row2_col6" class="data row2 col6" >280,8 Nm</td>
</tr> </tr>
<tr> <tr>
<td id="T_example1_row3_col0" class="data row3 col0" >Line4</td> <td id="T_example1_row3_col0" class="data row3 col0" >Line4</td>
@ -1516,10 +1517,10 @@ z
<tr> <tr>
<td id="T_example1_row4_col0" class="data row4 col0" >Line5</td> <td id="T_example1_row4_col0" class="data row4 col0" >Line5</td>
<td id="T_example1_row4_col1" class="data row4 col1" >130</td> <td id="T_example1_row4_col1" class="data row4 col1" >130</td>
<td id="T_example1_row4_col2" class="data row4 col2" >13.05 g/km</td> <td id="T_example1_row4_col2" class="data row4 col2" >13.05 g/km</td>
<td id="T_example1_row4_col3" class="data row4 col3" >5 stars</td> <td id="T_example1_row4_col3" class="data row4 col3" >5 stars</td>
<td id="T_example1_row4_col4" class="data row4 col4" >4.200000</td> <td id="T_example1_row4_col4" class="data row4 col4" >4.200000</td>
<td id="T_example1_row4_col5" class="data row4 col5" >1700 kg</td> <td id="T_example1_row4_col5" class="data row4 col5" >17.55 kg</td>
<td id="T_example1_row4_col6" class="data row4 col6" >450 Nm</td> <td id="T_example1_row4_col6" class="data row4 col6" >450 Nm</td>
</tr> </tr>
</tbody> </tbody>

View File

@ -580,10 +580,10 @@ This line represents a reference to the equation \ref{eq:test1}.
\text{Row1} & \text{Row2} & \text{Row3} & \text{Row4} & \text{Row5} & \text{Row6} & \text{Row7} \\ \text{Row1} & \text{Row2} & \text{Row3} & \text{Row4} & \text{Row5} & \text{Row6} & \text{Row7} \\
\midrule \midrule
Line1 & 120 & 12 g/km & 5 stars & 3.500000 & 1850 kg & 600 Nm \\ Line1 & 120 & 12 g/km & 5 stars & 3.500000 & 1850 kg & 600 Nm \\
Line2 & 95 km/h & {\textgreater} 150 g/km & 4 stars & 7.800000 & 1500 kg & 250 Nm \\ Line2 & 95 km/h & {\textgreater} 150 g/km & 4 stars & 7.800000 & 150 kg & 250 Nm \\
Line3 & 110 & 110 g/km & 5 stars & 8.500000 & 1400 kg & 280 Nm \\ Line3 & 110 & -110 g/km & 5 stars & 8.500000 & 140 kg & 280,8 Nm \\
Line4 & 105 km/h & 1140 g/km & 4.5 stars & 6.900000 & 1600 kg & 320 Nm \\ Line4 & 105 km/h & 1140 g/km & 4.5 stars & 6.900000 & 1600 kg & 320 Nm \\
Line5 & 130 & 13.05 g/km & 5 stars & 4.200000 & 1700 kg & 450 Nm \\ Line5 & 130 & -13.05 g/km & 5 stars & 4.200000 & 17.55 kg & 450 Nm \\
\bottomrule \bottomrule
\end{tabular} \end{tabular}
\end{table} \end{table}

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