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diff --git a/master/README.html b/master/README.html
index 629d4dc2c..f941dd8b7 100644
--- a/master/README.html
+++ b/master/README.html
@@ -99,7 +99,7 @@ <h1>CADET Documentation<a class="headerlink" href="#cadet-documentation" title="
 
 </pre></div>
 </div>
-<p>Then, in the <code class="docutils literal notranslate"><span class="pre">doc</span></code> folder run:</p>
+<p>Then, in the <code class="docutils literal notranslate"><span class="pre">doc</span></code> folder, run:</p>
 <p><code class="docutils literal notranslate"><span class="pre">sphinx-build</span> <span class="pre">-b</span> <span class="pre">html</span> <span class="pre">.</span> <span class="pre">build</span></code></p>
 <p>The output is in the <code class="docutils literal notranslate"><span class="pre">build</span></code> directory and can be opened with any browser.</p>
 <p>To build the documentation for all releases and the master branch, run:</p>
diff --git a/master/_sources/README.md.txt b/master/_sources/README.md.txt
index a9ee5ff35..bc3717077 100644
--- a/master/_sources/README.md.txt
+++ b/master/_sources/README.md.txt
@@ -8,7 +8,7 @@ pip install -r requirements.txt
 
 ```
 
-Then, in the `doc` folder run:
+Then, in the `doc` folder, run:
 
 `sphinx-build -b html . build` 
 
diff --git a/master/_sources/interface/unit_operations/cstr.rst.txt b/master/_sources/interface/unit_operations/cstr.rst.txt
index 123a86880..bde2f0625 100644
--- a/master/_sources/interface/unit_operations/cstr.rst.txt
+++ b/master/_sources/interface/unit_operations/cstr.rst.txt
@@ -85,7 +85,7 @@ For information on model equations, refer to :ref:`cstr_model`.
    
 ``INIT_VOLUME``
 
-   Initial tank volume
+   Initial liquid volume
 
    **Unit:** :math:`\mathrm{m}^{3}`
    
@@ -113,13 +113,15 @@ For information on model equations, refer to :ref:`cstr_model`.
    **Type:** double  **Range:** :math:`\mathbb{R}`  **Length:** :math:`\texttt{NDOF} / 2\texttt{NDOF}`
    ================  =============================  ====================================================
    
-``POROSITY``
+``CONST_SOLID_VOLUME``
 
-   Porosity :math:`\varepsilon` (defaults to 1)
+   Volume of solid phase 
+
+   **Unit:** :math:`\mathrm{m}^{3}` (defaults to 0)
    
-   ================  ========================  =============
-   **Type:** double  **Range:** :math:`(0,1]`  **Length:** 1
-   ================  ========================  =============
+   ================  =========================  =============
+   **Type:** double  **Range:** :math:`\geq 0`  **Length:** 1
+   ================  =========================  =============
    
 ``FLOWRATE_FILTER``
 
diff --git a/master/_sources/modelling/equations.rst.txt b/master/_sources/modelling/equations.rst.txt
new file mode 100644
index 000000000..0cf107e21
--- /dev/null
+++ b/master/_sources/modelling/equations.rst.txt
@@ -0,0 +1,18 @@
+.. File for the substitution for the declaration in the equations of unit operations.
+
+.. -----------------------------------------------------------components ------------------------------------------------------------------------------------------------------------
+.. |component_li| replace::  :math:`c^\ell_i` concentration of component :math:`i` in the liquid phase.
+.. |component_sij| replace::  :math:`c^s_{j,i,m_{j,i}}` concentration of component :math:`i` in the solid phase of particle type :math:`j` and particle type :math:`m_{j,i}`.
+
+.. ----------------------------------------------------------- flow ------------------------------------------------------------------------------------------------------------
+.. |flow_in_out| replace::  :math:`F_{\text{in}}` and :math:`F_{\text{out}}` flow rates of liquid into and out of the tank.
+
+.. ----------------------------------------------------------- reaction ------------------------------------------------------------------------------------------------------------
+.. |reaction| replace::  :math:`f_{\text{react},i}^l\left( c^\ell \right)` and :math:`f_{\text{react},j,i}^s\left( c^\ell, c_j^s \right)` reaction rates of component :math:`i` in the liquid and solid phase.
+.. |reaction_ads| replace::  :math:`f_{\text{ads},j}\left( c^\ell, c^s_j\right)` adsorption rate of component :math:`i` in the solid phase of particle type :math:`j` .
+.. -----------------------------------------------------------volume_fac ------------------------------------------------------------------------------------------------------------
+.. |volume_fac_pat| replace::  :math:`d_j` volume fraction of the different solid volume in the tank.
+
+.. -----------------------------------------------------------volume ------------------------------------------------------------------------------------------------------------
+.. |volume_liquid| replace::  :math:`V^{\ell}` liquid volume in the tank.
+.. |volume_solid| replace::  :math:`V^{s}` solid volume in the tank.
diff --git a/master/_sources/modelling/unit_operations/cstr.rst.txt b/master/_sources/modelling/unit_operations/cstr.rst.txt
index bf9961d97..dc6ab7730 100644
--- a/master/_sources/modelling/unit_operations/cstr.rst.txt
+++ b/master/_sources/modelling/unit_operations/cstr.rst.txt
@@ -3,37 +3,49 @@
 Continuous stirred tank reactor model (CSTR)
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 
+.. include:: ../equations.rst
+
 The continuous stirred tank reactor model is a basic building block in unit operation networks and often used to model holdup volume.
 When combined with a binding model, it can be used to model batch uptake experiments.
 
-Assuming that the fluid inside the tank is well-mixed and that the volume can vary, the governing equations are given by
+Assuming that the fluid inside the tank is well-mixed and that the liquid volume :math:`V^{\ell}` can vary, the governing equations are given by
 
 .. math::
 
     \begin{aligned}
-        \frac{\mathrm{d}}{\mathrm{d}t} \left(\left[ c^\ell_i + \frac{1-\varepsilon}{\varepsilon} \sum_j d_j \sum_{m_{j,i}} c^s_{j,i,m_{j,i}} \right] V\right) &= F_{\text{in}} c^\ell_{\text{in},i} - F_{\text{out}} c^\ell_i + V f_{\text{react},i}^l\left( c^\ell \right) \\
-    &+ V \frac{1-\varepsilon}{\varepsilon}\sum_j d_j f_{\text{react},j,i}^s\left( c^\ell, c_j^s \right),
+        \frac{\mathrm{d}}{\mathrm{d}t} (V^{\ell} c^\ell_i) + V^{s} \sum_j d_j \sum_{m_{j,i}}^{N_{\text{bnd},j,i}}  \frac{\mathrm{d}}{\mathrm{d}t} (c^s_{j,i,m_{j,i}}) &= F_{\text{in}} c^\ell_{\text{in},i} - F_{\text{out}} c^\ell_i + V^{\ell} f_{\text{react},i}^l\left( c^\ell \right) \\
+        &+V^{s}\sum_j d_j f_{\text{react},j,i}^s\left( c^\ell, c_j^s \right)
     \end{aligned}
+where:
+
+- |component_li|
+- |component_sij| 
+- |volume_liquid|
+- |volume_solid|
+- |flow_in_out|
+- |reaction|
+- |volume_fac_pat|
 
-which balances the mass, the binding equation
+Depending on whether quasi-stationary or dynamic binding is used the binding behavior of :math:`c_i^{\ell}` and :math:`c^s_j` is described by 
 
 .. math::
 
     \begin{aligned}
-        \text{quasi-stationary: }& & 0 &= f_{\text{ads},j}\left( c^\ell, c^s_j\right), \\
-        \text{dynamic: }& & \frac{\partial c^s_j}{\partial t} &= f_{\text{ads},j}\left( c^\ell, c^s_j\right) + f_{\text{react},j}^s\left( c^\ell, c_j^s \right),
+        \text{quasi-stationary: }& & 0 &= f_{\text{ads},j}\left( c_i^\ell, c^s_j\right), \\
+        \text{dynamic: }& & \frac{\partial c^s_j}{\partial t} &= f_{\text{ads},j}\left( c_i^\ell, c^s_j\right) + f_{\text{react},j}^s\left( c_i^\ell, c_j^s \right),
     \end{aligned}
 
-depending on whether quasi-stationary or dynamic binding is used, and the evolution of volume
+where :math:`f_{\text{ads},j}` is the adsorption rate in the solid phase of particle type :math:`j`.
+
+The evolution of volume of the liquid volume
 
 .. math::
 
     \begin{aligned}
-        \frac{\mathrm{d}V}{\mathrm{d}t} &= F_{\text{in}} - F_{\text{out}} - F_{\text{filter}}.
+       \frac{\mathrm{d}V^{\ell}}{\mathrm{d}t}= F_{\text{in}} - F_{\text{out}} - F_{\text{filter}}.
     \end{aligned}
 
-The porosity :math:`\varepsilon` denotes the ratio of liquid phase volume to total tank volume.
-Thus, setting :math:`\varepsilon = 1`, removing all bound states by setting :math:`N_{\text{bnd},j,i} = 0` for all components :math:`i` and particle types :math:`j`, and applying no binding model results in a simple tank.
+Removing all bound states by setting :math:`N_{\text{bnd},j,i} = 0` for all components :math:`i` and particle types :math:`j`, and applying no binding model results in a simple tank.
 The additional parameter :math:`F_{\text{filter}}`, which denotes the flow rate of pure liquid (without any components) out of the tank, can be used to model a filtering unit.
 
 Note that it is the user’s duty to make sure that the volume of the CSTR does not fall below 0. If it does, the simulation may fail to run or may produce unreasonable (e.g., unphysical) results.
diff --git a/master/interface/unit_operations/cstr.html b/master/interface/unit_operations/cstr.html
index d23baef03..c37789495 100644
--- a/master/interface/unit_operations/cstr.html
+++ b/master/interface/unit_operations/cstr.html
@@ -230,7 +230,7 @@ <h2>Group /input/model/unit_XXX - UNIT_TYPE = CSTR<a class="headerlink" href="#g
 </div></blockquote>
 <p><code class="docutils literal notranslate"><span class="pre">INIT_VOLUME</span></code></p>
 <blockquote>
-<div><p>Initial tank volume</p>
+<div><p>Initial liquid volume</p>
 <p><strong>Unit:</strong> <span class="math notranslate nohighlight">\(\mathrm{m}^{3}\)</span></p>
 <table class="docutils align-default">
 <tbody>
@@ -267,13 +267,14 @@ <h2>Group /input/model/unit_XXX - UNIT_TYPE = CSTR<a class="headerlink" href="#g
 </tbody>
 </table>
 </div></blockquote>
-<p><code class="docutils literal notranslate"><span class="pre">POROSITY</span></code></p>
+<p><code class="docutils literal notranslate"><span class="pre">CONST_SOLID_VOLUME</span></code></p>
 <blockquote>
-<div><p>Porosity <span class="math notranslate nohighlight">\(\varepsilon\)</span> (defaults to 1)</p>
+<div><p>Volume of solid phase</p>
+<p><strong>Unit:</strong> <span class="math notranslate nohighlight">\(\mathrm{m}^{3}\)</span> (defaults to 0)</p>
 <table class="docutils align-default">
 <tbody>
 <tr class="row-odd"><td><p><strong>Type:</strong> double</p></td>
-<td><p><strong>Range:</strong> <span class="math notranslate nohighlight">\((0,1]\)</span></p></td>
+<td><p><strong>Range:</strong> <span class="math notranslate nohighlight">\(\geq 0\)</span></p></td>
 <td><p><strong>Length:</strong> 1</p></td>
 </tr>
 </tbody>
diff --git a/master/modelling/equations.html b/master/modelling/equations.html
new file mode 100644
index 000000000..b8516d6e8
--- /dev/null
+++ b/master/modelling/equations.html
@@ -0,0 +1,117 @@
+<!DOCTYPE html>
+
+<html lang="en" data-content_root="../">
+  <head>
+    <meta charset="utf-8" />
+    <meta name="viewport" content="width=device-width, initial-scale=1.0" /><meta name="viewport" content="width=device-width, initial-scale=1" />
+
+    <title>&lt;no title&gt; &#8212; CADET</title>
+    <link rel="stylesheet" type="text/css" href="../_static/pygments.css?v=d1102ebc" />
+    <link rel="stylesheet" type="text/css" href="../_static/css/custom.css?v=2bcfc6fe" />
+    <script src="../_static/documentation_options.js?v=5929fcd5"></script>
+    <script src="../_static/doctools.js?v=9a2dae69"></script>
+    <script src="../_static/sphinx_highlight.js?v=dc90522c"></script>
+    <script async="async" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
+    <link rel="canonical" href="https://cadet.github.io/master/modelling/equations.html" />
+    <link rel="icon" href="../_static/cadet_icon.png"/>
+    <link rel="index" title="Index" href="../genindex.html" />
+    <link rel="search" title="Search" href="../search.html" />
+   
+  <link rel="stylesheet" href="../_static/custom.css" type="text/css" />
+  
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+  
+
+  </head><body>
+  <div class="document">
+    
+      <div class="sphinxsidebar" role="navigation" aria-label="Main">
+        <div class="sphinxsidebarwrapper">
+<h1 class="logo"><a href="../index.html">CADET</a></h1>
+
+
+
+<p class="blurb">CADET - An open platform for integrated process modelling and simulation</p>
+
+
+
+
+
+
+<h3>Navigation</h3>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../getting_started/index.html">Getting started</a></li>
+<li class="toctree-l1"><a class="reference internal" href="index.html">Modelling</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../simulation/index.html">Simulation</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../interface/index.html">Interface specifications</a></li>
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diff --git a/master/modelling/unit_operations/cstr.html b/master/modelling/unit_operations/cstr.html
index 3d8339dc9..061dd9967 100644
--- a/master/modelling/unit_operations/cstr.html
+++ b/master/modelling/unit_operations/cstr.html
@@ -115,25 +115,35 @@ <h3>Branches</h3>
 <span id="cstr-model"></span><h1>Continuous stirred tank reactor model (CSTR)<a class="headerlink" href="#continuous-stirred-tank-reactor-model-cstr" title="Link to this heading">¶</a></h1>
 <p>The continuous stirred tank reactor model is a basic building block in unit operation networks and often used to model holdup volume.
 When combined with a binding model, it can be used to model batch uptake experiments.</p>
-<p>Assuming that the fluid inside the tank is well-mixed and that the volume can vary, the governing equations are given by</p>
+<p>Assuming that the fluid inside the tank is well-mixed and that the liquid volume <span class="math notranslate nohighlight">\(V^{\ell}\)</span> can vary, the governing equations are given by</p>
 <div class="math notranslate nohighlight">
 \[\begin{split}\begin{aligned}
-    \frac{\mathrm{d}}{\mathrm{d}t} \left(\left[ c^\ell_i + \frac{1-\varepsilon}{\varepsilon} \sum_j d_j \sum_{m_{j,i}} c^s_{j,i,m_{j,i}} \right] V\right) &amp;= F_{\text{in}} c^\ell_{\text{in},i} - F_{\text{out}} c^\ell_i + V f_{\text{react},i}^l\left( c^\ell \right) \\
-&amp;+ V \frac{1-\varepsilon}{\varepsilon}\sum_j d_j f_{\text{react},j,i}^s\left( c^\ell, c_j^s \right),
+    \frac{\mathrm{d}}{\mathrm{d}t} (V^{\ell} c^\ell_i) + V^{s} \sum_j d_j \sum_{m_{j,i}}^{N_{\text{bnd},j,i}}  \frac{\mathrm{d}}{\mathrm{d}t} (c^s_{j,i,m_{j,i}}) &amp;= F_{\text{in}} c^\ell_{\text{in},i} - F_{\text{out}} c^\ell_i + V^{\ell} f_{\text{react},i}^l\left( c^\ell \right) \\
+    &amp;+V^{s}\sum_j d_j f_{\text{react},j,i}^s\left( c^\ell, c_j^s \right)
 \end{aligned}\end{split}\]</div>
-<p>which balances the mass, the binding equation</p>
+<p>where:</p>
+<ul class="simple">
+<li><p><span class="math notranslate nohighlight">\(c^\ell_i\)</span> concentration of component <span class="math notranslate nohighlight">\(i\)</span> in the liquid phase.</p></li>
+<li><p><span class="math notranslate nohighlight">\(c^s_{j,i,m_{j,i}}\)</span> concentration of component <span class="math notranslate nohighlight">\(i\)</span> in the solid phase of particle type <span class="math notranslate nohighlight">\(j\)</span> and particle type <span class="math notranslate nohighlight">\(m_{j,i}\)</span>.</p></li>
+<li><p><span class="math notranslate nohighlight">\(V^{\ell}\)</span> liquid volume in the tank.</p></li>
+<li><p><span class="math notranslate nohighlight">\(V^{s}\)</span> solid volume in the tank.</p></li>
+<li><p><span class="math notranslate nohighlight">\(F_{\text{in}}\)</span> and <span class="math notranslate nohighlight">\(F_{\text{out}}\)</span> flow rates of liquid into and out of the tank.</p></li>
+<li><p><span class="math notranslate nohighlight">\(f_{\text{react},i}^l\left( c^\ell \right)\)</span> and <span class="math notranslate nohighlight">\(f_{\text{react},j,i}^s\left( c^\ell, c_j^s \right)\)</span> reaction rates of component <span class="math notranslate nohighlight">\(i\)</span> in the liquid and solid phase.</p></li>
+<li><p><span class="math notranslate nohighlight">\(d_j\)</span> volume fraction of the different solid volume in the tank.</p></li>
+</ul>
+<p>Depending on whether quasi-stationary or dynamic binding is used the binding behavior of <span class="math notranslate nohighlight">\(c_i^{\ell}\)</span> and <span class="math notranslate nohighlight">\(c^s_j\)</span> is described by</p>
 <div class="math notranslate nohighlight">
 \[\begin{split}\begin{aligned}
-    \text{quasi-stationary: }&amp; &amp; 0 &amp;= f_{\text{ads},j}\left( c^\ell, c^s_j\right), \\
-    \text{dynamic: }&amp; &amp; \frac{\partial c^s_j}{\partial t} &amp;= f_{\text{ads},j}\left( c^\ell, c^s_j\right) + f_{\text{react},j}^s\left( c^\ell, c_j^s \right),
+    \text{quasi-stationary: }&amp; &amp; 0 &amp;= f_{\text{ads},j}\left( c_i^\ell, c^s_j\right), \\
+    \text{dynamic: }&amp; &amp; \frac{\partial c^s_j}{\partial t} &amp;= f_{\text{ads},j}\left( c_i^\ell, c^s_j\right) + f_{\text{react},j}^s\left( c_i^\ell, c_j^s \right),
 \end{aligned}\end{split}\]</div>
-<p>depending on whether quasi-stationary or dynamic binding is used, and the evolution of volume</p>
+<p>where <span class="math notranslate nohighlight">\(f_{\text{ads},j}\)</span> is the adsorption rate in the solid phase of particle type <span class="math notranslate nohighlight">\(j\)</span>.</p>
+<p>The evolution of volume of the liquid volume</p>
 <div class="math notranslate nohighlight">
 \[\begin{aligned}
-    \frac{\mathrm{d}V}{\mathrm{d}t} &amp;= F_{\text{in}} - F_{\text{out}} - F_{\text{filter}}.
+   \frac{\mathrm{d}V^{\ell}}{\mathrm{d}t}= F_{\text{in}} - F_{\text{out}} - F_{\text{filter}}.
 \end{aligned}\]</div>
-<p>The porosity <span class="math notranslate nohighlight">\(\varepsilon\)</span> denotes the ratio of liquid phase volume to total tank volume.
-Thus, setting <span class="math notranslate nohighlight">\(\varepsilon = 1\)</span>, removing all bound states by setting <span class="math notranslate nohighlight">\(N_{\text{bnd},j,i} = 0\)</span> for all components <span class="math notranslate nohighlight">\(i\)</span> and particle types <span class="math notranslate nohighlight">\(j\)</span>, and applying no binding model results in a simple tank.
+<p>Removing all bound states by setting <span class="math notranslate nohighlight">\(N_{\text{bnd},j,i} = 0\)</span> for all components <span class="math notranslate nohighlight">\(i\)</span> and particle types <span class="math notranslate nohighlight">\(j\)</span>, and applying no binding model results in a simple tank.
 The additional parameter <span class="math notranslate nohighlight">\(F_{\text{filter}}\)</span>, which denotes the flow rate of pure liquid (without any components) out of the tank, can be used to model a filtering unit.</p>
 <p>Note that it is the user’s duty to make sure that the volume of the CSTR does not fall below 0. If it does, the simulation may fail to run or may produce unreasonable (e.g., unphysical) results.</p>
 <p>See <a class="reference internal" href="../../interface/unit_operations/cstr.html#cstr-config"><span class="std std-ref">Continuous stirred tank reactor model</span></a>.</p>
diff --git a/master/objects.inv b/master/objects.inv
index 25c2c5bd0..8e3d029c6 100644
Binary files a/master/objects.inv and b/master/objects.inv differ
diff --git a/master/searchindex.js b/master/searchindex.js
index 894fa5050..c371be736 100644
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\ No newline at end of file
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diff --git a/master/sitemap.xml b/master/sitemap.xml
index 960a00d7d..4538b8b50 100644
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