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@ -12,7 +12,7 @@ jobs:
strategy:
matrix:
python-version: ["3.10", 3.13]
python-version: [3.12]
steps:
- name: Check out code
@ -47,7 +47,7 @@ jobs:
strategy:
matrix:
python-version: ["3.10"]
python-version: ["3.10", 3.13]
steps:
- name: Check out code
@ -87,7 +87,7 @@ jobs:
strategy:
matrix:
python-version: ["3.10"]
python-version: ["3.10", "3.13"]
steps:
- name: Check out code
@ -98,26 +98,16 @@ jobs:
with:
python-version: ${{ matrix.python-version }}
- name: Cache MiKTeX Portable
uses: actions/cache@v4
with:
path: miktex-portable
key: miktex-portable-${{ runner.os }}-24.1-x64
- name: Set up MiKTeX Portable
if: steps.cache.outputs.cache-hit != 'true'
run: |
$ProgressPreference = 'SilentlyContinue'
Invoke-WebRequest https://www.nonan.net/w/files/miktex-portable-Win-x64.zip -OutFile miktex-portable-Win-x64.zip
Expand-Archive miktex-portable-Win-x64.zip -DestinationPath .
- name: Install LaTeX
run: choco install miktex
- name: Check directory structure of MiKTeX installation
run: |
dir ".\miktex-portable\texmfs\install\miktex\bin\x64\*"
dir "C:\Program Files\MiKTeX\miktex\bin\x64\*"
- name: Add miktex to PATH
run: |
echo "PATH=$PATH;$(pwd)\miktex-portable\miktex\bin\x64" | Out-File -FilePath $env:GITHUB_ENV -Append
echo "PATH=$PATH;C:\Program Files\MiKTeX\miktex\bin\x64" | Out-File -FilePath $env:GITHUB_ENV -Append
- name: Show path variable
run: |
@ -130,6 +120,7 @@ jobs:
- name: Install Python dependencies
run: |
python -m pip install --upgrade pip
python -m pip install -e .[dev]
- name: Run tests with pytest

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@ -112,8 +112,7 @@
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</head>
<body>
<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
transport phenomena, particularly in high-temperature and high-pressure processes. Among the
most established approaches is the empirical equation introduced by Wassiljewa, which was
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@ -7,12 +7,16 @@ This model offers a reliable means of estimating the thermal conductivity of gas
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
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,
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,
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
\(j\) on the transport properties of component \(i\).
The interaction parameter \(\Phi_{ij}\) is given by the relation shown in equation \ref{eq:interaction-parameter}.\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.
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.
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
both the molar mass ratio and the square root of the conductivity ratio of the involved species.

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@ -112,8 +112,7 @@
</style>
</head>
<body>
<div class="document">
<h1>Special characters</h1>
<div class="document"><h1>Special characters</h1>
<p>ö ä ü Ö Ä Ü ß @ ∆</p>
<p>π ≈ ± ∆ Σ</p>
<p>£ ¥ $ €</p>
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<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_col4" class="data row4 col4" >4.200000</td>
<td id="T_example1_row4_col5" class="data row4 col5" >17.55 kg</td>
<td id="T_example1_row4_col5" class="data row4 col5" >1700 kg</td>
<td id="T_example1_row4_col6" class="data row4 col6" >450 Nm</td>
</tr>
</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} \\
\midrule
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 & 150 kg & 250 Nm \\
Line3 & 110 & -110 g/km & 5 stars & 8.500000 & 140 kg & 280,8 Nm \\
Line2 & 95 km/h & {\textgreater} 150 g/km & 4 stars & 7.800000 & 1500 kg & 250 Nm \\
Line3 & 110 & 110 g/km & 5 stars & 8.500000 & 1400 kg & 280 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 & 17.55 kg & 450 Nm \\
Line5 & 130 & 13.05 g/km & 5 stars & 4.200000 & 1700 kg & 450 Nm \\
\bottomrule
\end{tabular}
\end{table}

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