From ead3900ddbac8391e07b844c8b4a976fb4bf916f Mon Sep 17 00:00:00 2001 From: Nicolas Date: Mon, 14 Apr 2025 00:21:44 +0200 Subject: [PATCH] new resulting test output updated/added --- tests/out/test_html_render1.html | 2915 +++++++++++++++++ tests/out/test_html_render1.tex | 613 ++++ ...tml_render.html => test_html_render2.html} | 46 +- tests/out/test_latex_render1.pdf | Bin 0 -> 153727 bytes ...atex_render.pdf => test_latex_render2.pdf} | Bin 164342 -> 164289 bytes tests/out/test_markdown_characters.html | 2 +- tests/out/test_markdown_style.html | 4 +- 7 files changed, 3556 insertions(+), 24 deletions(-) create mode 100644 tests/out/test_html_render1.html create mode 100644 tests/out/test_html_render1.tex rename tests/out/{test_html_render.html => test_html_render2.html} (92%) create mode 100644 tests/out/test_latex_render1.pdf rename tests/out/{test_latex_render.pdf => test_latex_render2.pdf} (80%) diff --git a/tests/out/test_html_render1.html b/tests/out/test_html_render1.html new file mode 100644 index 0000000..841d045 --- /dev/null +++ b/tests/out/test_html_render1.html @@ -0,0 +1,2915 @@ + + + + + + Test template + + + +

Thermal Conductivity of Mixtures

+

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 +subsequently refined by Mason and Saxena to improve its applicability to multicomponent systems. +This model offers a reliable means of estimating the thermal conductivity of gas mixtures based +on the properties of the pure components and their molar interactions.

+

The thermal conductivity of a gas mixture, denoted by + + + + + + + + + + + + + + + + + + + + + + + + + + + +, can expressed as +shown in equation 1. +

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
(1)
+In this equation, + + + + + + + + + + + + + + + + + + + + + + + + represents the molar fraction of component + + + + + + + + + + + + + + + + + + + + + + within the mixture, +while + + + + + + + + + + + + + + + + + + + + + + + + denotes the thermal conductivity of the pure substance + + + + + + + + + + + + + + + + + + + + + +. The denominator +contains the interaction parameter + + + + + + + + + + + + + + + + + + + + + + + + + +, which describes the influence of component + + + + + + + + + + + + + + + + + + + + + + + on the transport properties of component + + + + + + + + + + + + + + + + + + + + + +.

+

The interaction parameter + + + + + + + + + + + + + + + + + + + + + + + + + + is given by the relation shown in equation 2. +

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
(2)
+Here, + + + + + + + + + + + + + + + + + + + + + + + + and + + + + + + + + + + + + + + + + + + + + + + + + are the molar masses of the components + + + + + + + + + + + + + + + + + + + + + + and + + + + + + + + + + + + + + + + + + + + + +, respectively. +Molar masses and thermal conductivity of the pure substances are listed in table 1. +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.

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Table 1: Properties of some gases
GasMolar mass in g/molThermal conductivity in W/m/K
H22.0160.1805
O232.000.0263
N228.020.0258
CO244.010.0166
CH416.040.0341
Ar39.950.0177
He4.00260.1513
+

This formulation acknowledges that the transport properties of a gas mixture are not a simple +linear combination of the individual conductivities. Rather, they are governed by intermolecular +interactions, which affect the energy exchange and diffusion behavior of each component. These +interactions are particularly significant at elevated pressures or in cases where the gas components +exhibit widely differing molecular masses or transport properties.

+

The equation proposed by Wassiljewa and refined by Mason and Saxena assumes that binary interactions +dominate the behavior of the mixture, while higher-order (three-body or more) interactions are +neglected. It also presumes that the gases approximate ideal behavior, although in practical +applications, moderate deviations from ideality are tolerated without significant loss of accuracy. +In figure 1 the resulting thermal conductivity of an H2/CO2-mixture is shown.

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Figure 1: Thermal Conductivity of H2/CO2 mixtures

In engineering practice, the accurate determination of + + + + + + + + + + + + + + + + + + + + + + + + + + + + is essential +for the prediction of heat transfer in systems such as membrane modules, chemical reactors, and +combustion chambers. In the context of membrane-based gas separation, for instance, the thermal +conductivity of the gas mixture influences the local temperature distribution, which in turn affects +both the permeation behavior and the structural stability of the membrane.

+

It is important to note that the calculated mixture conductivity reflects only the gas phase +behavior. In porous systems such as carbon membranes, additional effects must be considered. +These include the solid-phase thermal conduction through the membrane matrix, radiative transport +in pore channels at high temperatures, and transport in the Knudsen regime for narrow pores. +To account for these complexities, models based on effective medium theory, such as those of +Maxwell-Eucken or Bruggeman, are frequently employed. These models combine the conductivities of +individual phases (gas and solid) with geometrical factors that reflect the morphology of the +porous structure.

+
+

Expanded by more or less sensible AI jabbering; based on: doi:10.14279/depositonce-7390

+
+ \ No newline at end of file diff --git a/tests/out/test_html_render1.tex b/tests/out/test_html_render1.tex new file mode 100644 index 0000000..0c5b90f --- /dev/null +++ b/tests/out/test_html_render1.tex @@ -0,0 +1,613 @@ +\section{Thermal Conductivity of Mixtures} +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 +subsequently refined by Mason and Saxena to improve its applicability to multicomponent systems. +This model offers a reliable means of estimating the thermal conductivity of gas mixtures based +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, +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. +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. + +\begin{table} +\centering +\caption{Properties of some gases} +\label{table:gas-probs} +\begin{tabular}{lSS} +\toprule +\text{Gas} & \text{Molar mass in g/mol} & \text{Thermal conductivity in W/m/K} \\ +\midrule +H2 & 2.016 & 0.1805 \\ +O2 & 32.00 & 0.0263 \\ +N2 & 28.02 & 0.0258 \\ +CO2 & 44.01 & 0.0166 \\ +CH4 & 16.04 & 0.0341 \\ +Ar & 39.95 & 0.0177 \\ +He & 4.0026 & 0.1513 \\ +\bottomrule +\end{tabular} +\end{table}This formulation acknowledges that the transport properties of a gas mixture are not a simple +linear combination of the individual conductivities. Rather, they are governed by intermolecular +interactions, which affect the energy exchange and diffusion behavior of each component. These +interactions are particularly significant at elevated pressures or in cases where the gas components +exhibit widely differing molecular masses or transport properties. + +The equation proposed by Wassiljewa and refined by Mason and Saxena assumes that binary interactions +dominate the behavior of the mixture, while higher-order (three-body or more) interactions are +neglected. It also presumes that the gases approximate ideal behavior, although in practical +applications, moderate deviations from ideality are tolerated without significant loss of accuracy. +In figure \ref{fig:mixture} the resulting thermal conductivity of an H2/CO2-mixture is shown. + +\begin{figure} +\centering +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{6.400000in}{4.800000in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{0.000000pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{6.400000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{6.400000in}{4.800000in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{4.800000in}}% 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+\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{5.760000in}{0.528000in}}% +\pgfpathlineto{\pgfqpoint{5.760000in}{4.224000in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsetrectcap% +\pgfsetmiterjoin% +\pgfsetlinewidth{0.803000pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.800000in}{0.528000in}}% +\pgfpathlineto{\pgfqpoint{5.760000in}{0.528000in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsetrectcap% +\pgfsetmiterjoin% +\pgfsetlinewidth{0.803000pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.800000in}{4.224000in}}% +\pgfpathlineto{\pgfqpoint{5.760000in}{4.224000in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\end{pgfpicture}% +\makeatother% +\endgroup% + +\caption{Thermal Conductivity of H2/CO2 mixtures} +\label{fig:mixture} +\end{figure}In engineering practice, the accurate determination of \(\lambda_{\text{mix}}\) is essential +for the prediction of heat transfer in systems such as membrane modules, chemical reactors, and +combustion chambers. In the context of membrane-based gas separation, for instance, the thermal +conductivity of the gas mixture influences the local temperature distribution, which in turn affects +both the permeation behavior and the structural stability of the membrane. + +It is important to note that the calculated mixture conductivity reflects only the gas phase +behavior. In porous systems such as carbon membranes, additional effects must be considered. +These include the solid-phase thermal conduction through the membrane matrix, radiative transport +in pore channels at high temperatures, and transport in the Knudsen regime for narrow pores. +To account for these complexities, models based on effective medium theory, such as those of +Maxwell-Eucken or Bruggeman, are frequently employed. These models combine the conductivities of +individual phases (gas and solid) with geometrical factors that reflect the morphology of the +porous structure. + + + +\noindent\rule[0.5ex]{\linewidth}{1pt} + +Expanded by more or less sensible AI jabbering; based on: \href{https://doi.org/10.14279/depositonce-7390}{doi:10.14279/depositonce-7390} + diff --git a/tests/out/test_html_render.html b/tests/out/test_html_render2.html similarity index 92% rename from tests/out/test_html_render.html rename to tests/out/test_html_render2.html index 6ad2b1a..6c17de3 100644 --- a/tests/out/test_html_render.html +++ b/tests/out/test_html_render2.html @@ -43,13 +43,17 @@ text-align: center; } - div svg { + .equation svg { margin-left: -5%; max-width: 110%; height: auto; object-fit: contain; } + .inline-equation svg { + vertical-align: middle; + } + .equation-container { display: flex; justify-content: space-between; @@ -192,9 +196,9 @@ -
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Other: ß, €, @, $, %, ~, µ

Units: m³, cm²

-

Controll characters: <, >, ", ', &, |, /, \

\ No newline at end of file +

Controll characters: <, >, ", ', &, |, /, \

\ No newline at end of file diff --git a/tests/out/test_markdown_style.html b/tests/out/test_markdown_style.html index 2afc94c..30d3aca 100644 --- a/tests/out/test_markdown_style.html +++ b/tests/out/test_markdown_style.html @@ -2,7 +2,7 @@ unconditional branch instruction—often simply called the “B” instruction—and how its 26‐bit immediate field (imm26) is laid out and later relocated during linking.

-
+

Instruction Layout

The unconditional branch in AArch64 is encoded in a 32‑bit instruction. Its layout is as follows:

@@ -40,5 +40,5 @@ the full register width (typically 64 bits).
  • With a 26‑bit signed field that’s effectively 28 bits after the shift, the branch can cover a range - of approximately ±128 MB from the current instruction.
  • + of approximately ±128 MB from the current instruction. \ No newline at end of file