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c72a1e70c4
| Author | SHA1 | Date |
|---|---|---|
Nicolas
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c72a1e70c4 | |
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Nicolas
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001e5b8a10 | |
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Nicolas
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bd7d70a0b7 | |
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Nicolas
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cba2dd690f | |
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Nicolas
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a8ca6aec75 |
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@ -12,7 +12,7 @@ jobs:
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strategy:
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matrix:
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python-version: [3.12]
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python-version: ["3.10", 3.13]
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steps:
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- name: Check out code
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@ -47,7 +47,7 @@ jobs:
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strategy:
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matrix:
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python-version: ["3.10", 3.13]
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python-version: ["3.10"]
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steps:
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- name: Check out code
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@ -87,7 +87,7 @@ jobs:
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strategy:
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matrix:
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python-version: ["3.10", "3.13"]
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python-version: ["3.10"]
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steps:
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- name: Check out code
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@ -98,16 +98,26 @@ jobs:
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with:
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python-version: ${{ matrix.python-version }}
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- name: Install LaTeX
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run: choco install miktex
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- name: Cache MiKTeX Portable
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uses: actions/cache@v4
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with:
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path: miktex-portable
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key: miktex-portable-${{ runner.os }}-24.1-x64
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- name: Set up MiKTeX Portable
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if: steps.cache.outputs.cache-hit != 'true'
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run: |
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$ProgressPreference = 'SilentlyContinue'
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Invoke-WebRequest https://www.nonan.net/w/files/miktex-portable-Win-x64.zip -OutFile miktex-portable-Win-x64.zip
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Expand-Archive miktex-portable-Win-x64.zip -DestinationPath .
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- name: Check directory structure of MiKTeX installation
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run: |
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dir "C:\Program Files\MiKTeX\miktex\bin\x64\*"
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dir ".\miktex-portable\texmfs\install\miktex\bin\x64\*"
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- name: Add miktex to PATH
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run: |
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echo "PATH=$PATH;C:\Program Files\MiKTeX\miktex\bin\x64" | Out-File -FilePath $env:GITHUB_ENV -Append
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echo "PATH=$PATH;$(pwd)\miktex-portable\miktex\bin\x64" | Out-File -FilePath $env:GITHUB_ENV -Append
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- name: Show path variable
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run: |
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@ -120,7 +130,6 @@ jobs:
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- name: Install Python dependencies
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run: |
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python -m pip install --upgrade pip
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python -m pip install -e .[dev]
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- name: Run tests with pytest
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@ -112,7 +112,8 @@
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</style>
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</head>
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<body>
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<div class="document"><h1>Thermal Conductivity of Mixtures</h1>
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<div class="document">
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<h1>Thermal Conductivity of Mixtures</h1>
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<p>The determination of the thermal conductivity of gas mixtures is a central aspect of modeling
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transport phenomena, particularly in high-temperature and high-pressure processes. Among the
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most established approaches is the empirical equation introduced by Wassiljewa, which was
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<g id="svg-fig:mixture-text_1">
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<g id="svg-fig:mixture-line2d_3">
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<use xlink:href="#svg-fig:mixture-m7a5d307eac" x="203.694545" y="307.584" style="stroke: #000000; stroke-width: 0.8"/>
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<g id="svg-fig:mixture-text_4">
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<g id="svg-fig:mixture-text_6">
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@ -2240,12 +2241,12 @@ z
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<g id="svg-fig:mixture-line2d_7">
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<defs>
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<path id="svg-fig:mixture-m58fb6f3580" d="M 0 0
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<g id="svg-fig:mixture-line2d_8">
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|||
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@ -7,16 +7,12 @@ This model offers a reliable means of estimating the thermal conductivity of gas
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on the properties of the pure components and their molar interactions.
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||||
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||||
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}
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||||
In this equation, \(x_i\) represents the molar fraction of component \(i\) within the mixture,
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||||
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,
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||||
while \(\lambda_i\) denotes the thermal conductivity of the pure substance \(i\). The denominator
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||||
contains the interaction parameter \(\Phi_{ij}\), which describes the influence of component
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\(j\) on the transport properties of component \(i\).
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||||
The interaction parameter \(\Phi_{ij}\) is given by the relation shown in equation \ref{eq:interaction-parameter}.
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||||
\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}
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Here, \(M_i\) and \(M_j\) are the molar masses of the components \(i\) and \(j\), respectively.
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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.
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Molar masses and thermal conductivity of the pure substances are listed in table \ref{table:gas-probs}.
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The structure of this expression illustrates the nonlinear dependence of the interaction term on
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both the molar mass ratio and the square root of the conductivity ratio of the involved species.
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@ -112,7 +112,8 @@
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|||
</style>
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||||
</head>
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||||
<body>
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||||
<div class="document"><h1>Special characters</h1>
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||||
<div class="document">
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||||
<h1>Special characters</h1>
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||||
<p>ö ä ü Ö Ä Ü ß @ ∆</p>
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||||
<p>π ≈ ± ∆ Σ</p>
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||||
<p>£ ¥ $ €</p>
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||||
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@ -753,7 +754,7 @@ z
|
|||
<g id="svg-fig:auto1-xtick_3">
|
||||
<g id="svg-fig:auto1-line2d_3">
|
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<g>
|
||||
<use xlink:href="#svg-fig:auto1-me6b9a60687" x="278.877703" y="307.584" style="stroke: #000000; stroke-width: 0.8"/>
|
||||
<use xlink:href="#svg-fig:auto1-m2a8f83af65" x="278.877703" y="307.584" style="stroke: #000000; stroke-width: 0.8"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="svg-fig:auto1-text_3">
|
||||
|
|
@ -813,7 +814,7 @@ z
|
|||
<g id="svg-fig:auto1-xtick_4">
|
||||
<g id="svg-fig:auto1-line2d_4">
|
||||
<g>
|
||||
<use xlink:href="#svg-fig:auto1-me6b9a60687" x="364.31311" y="307.584" style="stroke: #000000; stroke-width: 0.8"/>
|
||||
<use xlink:href="#svg-fig:auto1-m2a8f83af65" x="364.31311" y="307.584" style="stroke: #000000; stroke-width: 0.8"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="svg-fig:auto1-text_4">
|
||||
|
|
@ -909,12 +910,12 @@ z
|
|||
<g id="svg-fig:auto1-ytick_1">
|
||||
<g id="svg-fig:auto1-line2d_5">
|
||||
<defs>
|
||||
<path id="svg-fig:auto1-m7e28b8cc70" d="M 0 0
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||||
<path id="svg-fig:auto1-mb890c479b6" d="M 0 0
|
||||
L -3.5 0
|
||||
" style="stroke: #000000; stroke-width: 0.8"/>
|
||||
</defs>
|
||||
<g>
|
||||
<use xlink:href="#svg-fig:auto1-m7e28b8cc70" x="57.6" y="307.584" style="stroke: #000000; stroke-width: 0.8"/>
|
||||
<use xlink:href="#svg-fig:auto1-mb890c479b6" x="57.6" y="307.584" style="stroke: #000000; stroke-width: 0.8"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="svg-fig:auto1-text_5">
|
||||
|
|
@ -950,7 +951,7 @@ z
|
|||
<g id="svg-fig:auto1-ytick_2">
|
||||
<g id="svg-fig:auto1-line2d_6">
|
||||
<g>
|
||||
<use xlink:href="#svg-fig:auto1-m7e28b8cc70" x="57.6" y="256.896" style="stroke: #000000; stroke-width: 0.8"/>
|
||||
<use xlink:href="#svg-fig:auto1-mb890c479b6" x="57.6" y="256.896" style="stroke: #000000; stroke-width: 0.8"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="svg-fig:auto1-text_6">
|
||||
|
|
@ -990,7 +991,7 @@ z
|
|||
<g id="svg-fig:auto1-ytick_3">
|
||||
<g id="svg-fig:auto1-line2d_7">
|
||||
<g>
|
||||
<use xlink:href="#svg-fig:auto1-m7e28b8cc70" x="57.6" y="206.208" style="stroke: #000000; stroke-width: 0.8"/>
|
||||
<use xlink:href="#svg-fig:auto1-mb890c479b6" x="57.6" y="206.208" style="stroke: #000000; stroke-width: 0.8"/>
|
||||
</g>
|
||||
</g>
|
||||
<g id="svg-fig:auto1-text_7">
|
||||
|
|
@ -1025,7 +1026,7 @@ z
|
|||
<g id="svg-fig:auto1-ytick_4">
|
||||
<g id="svg-fig:auto1-line2d_8">
|
||||
<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 id="svg-fig:auto1-text_8">
|
||||
|
|
@ -1071,7 +1072,7 @@ z
|
|||
<g id="svg-fig:auto1-ytick_5">
|
||||
<g id="svg-fig:auto1-line2d_9">
|
||||
<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 id="svg-fig:auto1-text_9">
|
||||
|
|
@ -1126,7 +1127,7 @@ z
|
|||
<g id="svg-fig:auto1-ytick_6">
|
||||
<g id="svg-fig:auto1-line2d_10">
|
||||
<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 id="svg-fig:auto1-text_10">
|
||||
|
|
@ -1457,7 +1458,7 @@ z
|
|||
</g>
|
||||
</g>
|
||||
<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"/>
|
||||
</clippath>
|
||||
</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_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_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>
|
||||
</tr>
|
||||
<tr>
|
||||
<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_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_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_col6" class="data row2 col6" >280 Nm</td>
|
||||
<td id="T_example1_row2_col5" class="data row2 col5" >140 kg</td>
|
||||
<td id="T_example1_row2_col6" class="data row2 col6" >280,8 Nm</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td id="T_example1_row3_col0" class="data row3 col0" >Line4</td>
|
||||
|
|
@ -1516,10 +1517,10 @@ z
|
|||
<tr>
|
||||
<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_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_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>
|
||||
</tr>
|
||||
</tbody>
|
||||
|
|
|
|||
|
|
@ -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 & 1500 kg & 250 Nm \\
|
||||
Line3 & 110 & 110 g/km & 5 stars & 8.500000 & 1400 kg & 280 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 \\
|
||||
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
|
||||
\end{tabular}
|
||||
\end{table}
|
||||
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Reference in New Issue