Skip to content

Commit

Permalink
transient.rst examples completed
Browse files Browse the repository at this point in the history
  • Loading branch information
@profhsgill
profhsgill committed Sep 3, 2021
1 parent 2c630cc commit 10d5cb0
Show file tree
Hide file tree
Showing 124 changed files with 1,612 additions and 3,959 deletions.
Binary file modified docs/build/doctrees/_autosummary/pychemengg.doctree
View file
Binary file not shown.
Binary file modified docs/build/doctrees/_autosummary/pychemengg.heattransfer.transient.LumpedSystem.doctree
View file
Binary file not shown.
Binary file modified docs/build/doctrees/_autosummary/pychemengg.heattransfer.transient.NonLumpedCylinder.doctree
View file
Binary file not shown.
Binary file modified docs/build/doctrees/_autosummary/pychemengg.heattransfer.transient.NonLumpedSlab.doctree
View file
Binary file not shown.
Binary file modified docs/build/doctrees/_autosummary/pychemengg.heattransfer.transient.NonLumpedSphere.doctree
View file
Binary file not shown.
Binary file modified docs/build/doctrees/_autosummary/pychemengg.heattransfer.transient.SemiInfinite.doctree
View file
Binary file not shown.
Binary file removed docs/build/doctrees/_autosummary/pychemengg.utils.doctree
View file
Binary file not shown.
Binary file removed docs/build/doctrees/_autosummary/pychemengg.utils.method_aliases.alias.doctree
View file
Binary file not shown.
Binary file removed docs/build/doctrees/_autosummary/pychemengg.utils.method_aliases.aliased.doctree
View file
Binary file not shown.
Binary file removed docs/build/doctrees/_autosummary/pychemengg.utils.method_aliases.doctree
View file
Binary file not shown.
Binary file removed docs/build/doctrees/_autosummary/pychemengg.utils.multipledispatch.doctree
View file
Binary file not shown.
Binary file removed ...octrees/_autosummary/pychemengg.utils.multipledispatch.extract_func_kwarg_details.doctree
View file
Binary file not shown.
Binary file removed .../doctrees/_autosummary/pychemengg.utils.multipledispatch.get_func_kwarg_signature.doctree
View file
Binary file not shown.
Binary file removed docs/build/doctrees/_autosummary/pychemengg.utils.multipledispatch.multiple_dispatch.doctree
View file
Binary file not shown.
Binary file removed docs/build/doctrees/_autosummary/pychemengg.utils.multipledispatch.process_kwargs.doctree
View file
Binary file not shown.
Binary file modified docs/build/doctrees/environment.pickle
View file
Binary file not shown.
Binary file modified docs/build/doctrees/userguide/heattransfer/index.doctree
View file
Binary file not shown.
Binary file added docs/build/doctrees/userguide/heattransfer/transient.doctree
View file
Binary file not shown.
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.externalflow.Cylinder.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.externalflow.Plate.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.externalflow.Sphere.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.externalflow.TubeBank.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.externalflow.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.fins.Fin.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.fins.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.heatcommonmethods.calc_LMTD.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.heatcommonmethods.calc_Pr.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.heatcommonmethods.calc_Re.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion ...tml/_autosummary/pychemengg.heattransfer.heatcommonmethods.calc_internalenergychange.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion ...ummary/pychemengg.heattransfer.heatcommonmethods.calc_overallheattransfercoefficient.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.heatcommonmethods.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.heatexchangers.EffNTU.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.heatexchangers.FCorrectionFactor.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion ...y/pychemengg.heattransfer.heatexchangers.calc_overallheattransfercoefficient_fromNTU.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.heatexchangers.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.internalflow.CircularTube.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.internalflow.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.steadystate.Cylinder.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.steadystate.CylinderBase.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.steadystate.Slab.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.steadystate.Sphere.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
1 change: 0 additions & 1 deletion docs/build/html/_autosummary/pychemengg.heattransfer.steadystate.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down
62 changes: 27 additions & 35 deletions docs/build/html/_autosummary/pychemengg.heattransfer.transient.LumpedSystem.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down Expand Up @@ -264,14 +263,7 @@ <h1>LumpedSystem<a class="headerlink" href="#lumpedsystem" title="Permalink to t
<p>Units used in this example: SI system</p>
<p>However, any consistent units can be used</p>
<div class="doctest highlight-default notranslate"><div class="highlight"><pre><span></span><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">pychemengg.heattransfer</span> <span class="kn">import</span> <span class="n">transient</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">plate</span> <span class="o">=</span> <span class="n">transient</span><span class="o">.</span><span class="n">LumpedSystem</span><span class="p">(</span><span class="n">thermalconductivity</span><span class="o">=</span><span class="mi">180</span><span class="p">,</span>
<span class="go"> density=2800,</span>
<span class="go"> specificheat=880,</span>
<span class="go"> T_initial=700,</span>
<span class="go"> T_infinity=15,</span>
<span class="go"> heattransfercoefficient=53,</span>
<span class="go"> surfacearea=2*1,</span>
<span class="go"> volume=1*2e-2)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">plate</span> <span class="o">=</span> <span class="n">transient</span><span class="o">.</span><span class="n">LumpedSystem</span><span class="p">(</span><span class="n">thermalconductivity</span><span class="o">=</span><span class="mi">180</span><span class="p">,</span> <span class="n">density</span><span class="o">=</span><span class="mi">2800</span><span class="p">,</span> <span class="n">specificheat</span><span class="o">=</span><span class="mi">880</span><span class="p">,</span> <span class="n">T_initial</span><span class="o">=</span><span class="mi">700</span><span class="p">,</span> <span class="n">T_infinity</span><span class="o">=</span><span class="mi">15</span><span class="p">,</span> <span class="n">heattransfercoefficient</span><span class="o">=</span><span class="mi">53</span><span class="p">,</span> <span class="n">surfacearea</span><span class="o">=</span><span class="mi">2</span><span class="o">*</span><span class="mi">1</span><span class="p">,</span> <span class="n">volume</span><span class="o">=</span><span class="mi">1</span><span class="o">*</span><span class="mf">2e-2</span><span class="p">)</span>
<span class="go"># This will create an instance of &#39;LumpedSystem&#39; with a name &#39;plate&#39; </span>
</pre></div>
</div>
Expand Down Expand Up @@ -395,12 +387,12 @@ <h1>LumpedSystem<a class="headerlink" href="#lumpedsystem" title="Permalink to t
\]</div>
<p><em>where:</em></p>
<blockquote>
<div><p>t = time at which temperature is to be computed</p>
<p>h = heat transfer coefficient</p>
<p><span class="math">\(T_{infinity} = temperature of surrounding fluid\)</span></p>
<p><span class="math">\(T_{t} = temperature of solid object at time = t\)</span></p>
<p><span class="math">\(A_s = surface area of solid object\)</span></p>
<p><span class="math">\(q_{t} = heat rate at time = t\)</span></p>
<div><p><em>t = time at which temperature is to be computed</em></p>
<p><em>h = heat transfer coefficient</em></p>
<p><span class="math">\(T_{infinity}\)</span> <em>= temperature of surrounding fluid</em></p>
<p><span class="math">\(T_{t}\)</span> <em>= temperature of solid object at time = t</em></p>
<p><span class="math">\(A_s\)</span> <em>= surface area of solid object</em></p>
<p><span class="math">\(q_{t}\)</span> <em>= heat rate at time = t</em></p>
</div></blockquote>
<p class="rubric">References</p>
<p>[1] G. F. Nellis and S. A. Klein, “Introduction to Engineering
Expand Down Expand Up @@ -454,11 +446,11 @@ <h1>LumpedSystem<a class="headerlink" href="#lumpedsystem" title="Permalink to t
\]</div>
<p><em>where:</em></p>
<blockquote>
<div><p>m = mass of solid object</p>
<p><span class="math">\(C_{p} = specific heat of solid object\)</span></p>
<p><span class="math">\(T_{infinity} = temperature of surrounding, which the solid object will eventually attain\)</span></p>
<p><span class="math">\(T_{initial} = temperature of solid object at time = initial\)</span></p>
<p><span class="math">\(q_{max} = max heat transfer possible\)</span></p>
<div><p><em>m = mass of solid object</em></p>
<p><span class="math">\(C_{p}\)</span> <em>= specific heat of solid object</em></p>
<p><span class="math">\(T_{infinity}\)</span> <em>= temperature of surrounding, which the solid object will eventually attain</em></p>
<p><span class="math">\(T_{initial}\)</span> <em>= temperature of solid object at time = initial</em></p>
<p><span class="math">\(q_{max}\)</span> <em>= max heat transfer possible</em></p>
</div></blockquote>
<p class="rubric">References</p>
<p>[1] G. F. Nellis and S. A. Klein, “Introduction to Engineering
Expand Down Expand Up @@ -508,17 +500,17 @@ <h1>LumpedSystem<a class="headerlink" href="#lumpedsystem" title="Permalink to t
\]</div>
<p><em>where:</em></p>
<blockquote>
<div><p><span class="math">\(T_{infinity} = temperature of surrounding fluid\)</span></p>
<p><span class="math">\(T_{initial} = intitial temperature of solid object\)</span></p>
<div><p><span class="math">\(T_{infinity}\)</span> <em>= temperature of surrounding fluid</em></p>
<p><span class="math">\(T_{initial}\)</span> <em>= intitial temperature of solid object</em></p>
<p><span class="math">\(b = \frac{hA_s}{\rho V C_p}\)</span></p>
<p>t = time at which temperature is to be computed</p>
<p><em>t = time at which temperature is to be computed</em></p>
<blockquote>
<div><p>where:</p>
<p>h = heat transfer coefficient</p>
<p><span class="math">\(A_s = surface area of solid object\)</span></p>
<p><span class="math">\(\rho\)</span> = density of solid object</p>
<p>V = volume of solid object</p>
<p><span class="math">\(C_p\)</span> = specific heat of solid object</p>
<p><em>h = heat transfer coefficient</em></p>
<p><span class="math">\(A_s\)</span> <em>= surface area of solid object</em></p>
<p><span class="math">\(\rho\)</span> <em>= density of solid object</em></p>
<p><em>V = volume of solid object</em></p>
<p><span class="math">\(C_p\)</span> <em>= specific heat of solid object</em></p>
</div></blockquote>
</div></blockquote>
<p class="rubric">References</p>
Expand Down Expand Up @@ -572,13 +564,13 @@ <h1>LumpedSystem<a class="headerlink" href="#lumpedsystem" title="Permalink to t
\]</div>
<p><em>where:</em></p>
<blockquote>
<div><p>t = time marking the interval [0, t] for which heat
transferred is to be computed</p>
<p>m = mass of object</p>
<p><span class="math">\(C_{p} = specific heat of object\)</span></p>
<p><span class="math">\(T_{t} = temperature of object at time = t\)</span></p>
<p><span class="math">\(T_{initial} = temperature of object at time = 0\)</span></p>
<p><span class="math">\(q_{0 to t} = heat transferred in interval [0, t]\)</span></p>
<div><p><em>t = time marking the interval [0, t] for which heat
transferred is to be computed</em></p>
<p><em>m = mass of object</em></p>
<p><span class="math">\(C_{p}\)</span> <em>= specific heat of object</em></p>
<p><span class="math">\(T_{t}\)</span> <em>= temperature of object at time = t</em></p>
<p><span class="math">\(T_{initial}\)</span> <em>= temperature of object at time = 0</em></p>
<p><span class="math">\(q_{0 to t}\)</span> <em>= heat transferred in interval [0, t]</em></p>
</div></blockquote>
<p class="rubric">References</p>
<p>[1] G. F. Nellis and S. A. Klein, “Introduction to Engineering
Expand Down
33 changes: 16 additions & 17 deletions docs/build/html/_autosummary/pychemengg.heattransfer.transient.NonLumpedCylinder.html
View file
Original file line number Diff line number Diff line change
Expand Up @@ -117,7 +117,6 @@
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.physicalproperties.html">physicalproperties</a></li>
<li class="toctree-l3"><a class="reference internal" href="pychemengg.utils.html">utils</a></li>
</ul>
</li>
</ul>
Expand Down Expand Up @@ -501,10 +500,10 @@ <h1>NonLumpedCylinder<a class="headerlink" href="#nonlumpedcylinder" title="Perm
\]</div>
<p><em>where:</em></p>
<blockquote>
<div><p>t = time at which temperature is to be computed</p>
<p>h = heat transfer coefficient</p>
<p><span class="math">\(T_{infinity} = temperature of surrounding fluid\)</span></p>
<p><span class="math">\(T_{t} = temperature of surface of solid object at time = t\)</span></p>
<div><p><em>t = time at which temperature is to be computed</em></p>
<p><em>h = heat transfer coefficient</em></p>
<p><span class="math">\(T_{infinity}\)</span> <em>= temperature of surrounding fluid</em></p>
<p><span class="math">\(T_{t}\)</span> <em>= temperature of surface of solid object at time = t</em></p>
<p><span class="math">\(A_s\)</span> <em>= surface area of solid object</em></p>
<p><span class="math">\(q_{t}\)</span> <em>= heat rate of convection at time = t</em></p>
</div></blockquote>
Expand Down Expand Up @@ -566,11 +565,11 @@ <h1>NonLumpedCylinder<a class="headerlink" href="#nonlumpedcylinder" title="Perm
\]</div>
<p><em>where:</em></p>
<blockquote>
<div><p>m = mass of solid object</p>
<p><span class="math">\(C_{p} = specific heat of solid object\)</span></p>
<p><span class="math">\(T_{infinity} = temperature of surrounding, which the solid object will eventually attain\)</span></p>
<p><span class="math">\(T_{initial} = temperature of solid object at time = initial\)</span></p>
<p><span class="math">\(q_{max} = max heat transfer possible\)</span></p>
<div><p><em>m = mass of solid object</em></p>
<p><span class="math">\(C_{p}\)</span> <em>= specific heat of solid object</em></p>
<p><span class="math">\(T_{infinity}\)</span> <em>= temperature of surrounding, which the solid object will eventually attain</em></p>
<p><span class="math">\(T_{initial}\)</span> <em>= temperature of solid object at time = initial</em></p>
<p><span class="math">\(q_{max}\)</span> <em>= max heat transfer possible</em></p>
</div></blockquote>
<p class="rubric">References</p>
<p>[1] G. F. Nellis and S. A. Klein, “Introduction to Engineering
Expand Down Expand Up @@ -617,14 +616,14 @@ <h1>NonLumpedCylinder<a class="headerlink" href="#nonlumpedcylinder" title="Perm
\]</div>
<p><em>where:</em></p>
<blockquote>
<div><p><span class="math">\(T_{infinity} = temperature of surrounding fluid\)</span></p>
<p><span class="math">\(T_{initial} = intitial temperature of solid object\)</span></p>
<div><p><span class="math">\(T_{infinity}\)</span> <em>= temperature of surrounding fluid</em></p>
<p><span class="math">\(T_{initial}\)</span> <em>= intitial temperature of solid object</em></p>
<p><span class="math">\(J_0\)</span> <em>= Bessel function of first kind of order 0</em></p>
<p><span class="math">\(J_1\)</span> <em>= Bessel function of first kind of order 1</em></p>
<p><span class="math">\(\lambda_n\)</span> = <span class="math">\(n^{th}\)</span> eigen value of <span class="math">\(x_n tan(x_n) - Bi = 0\)</span> , n = 1 to <span class="math">\(\infty\)</span></p>
<p>Bi = Biot number</p>
<p><span class="math">\(\tau = Fourier number\)</span></p>
<p>r = radius from center of solid cylinder where temperature is required (r = 0 for center of cylinder)</p>
<p><em>Bi = Biot number</em></p>
<p><span class="math">\(\tau\)</span> <em>= Fourier number</em></p>
<p><em>r = radius from center of solid cylinder where temperature is required (r = 0 for center of cylinder)</em></p>
<p><span class="math">\(r_{outside}\)</span> <em>= outer radius of the cylinder</em></p>
</div></blockquote>
<p class="rubric">Examples</p>
Expand Down Expand Up @@ -687,8 +686,8 @@ <h1>NonLumpedCylinder<a class="headerlink" href="#nonlumpedcylinder" title="Perm
<p><span class="math">\(J_0\)</span> <em>= Bessel function of first kind of order 0</em></p>
<p><span class="math">\(J_1\)</span> <em>= Bessel function of first kind of order 1</em></p>
<p><span class="math">\(\lambda_n\)</span> = <span class="math">\(n^{th}\)</span> eigen value of <span class="math">\(x_n tan(x_n) - Bi = 0\)</span> , n = 1 to <span class="math">\(\infty\)</span></p>
<p>Bi = Biot number</p>
<p><span class="math">\(\tau = Fourier number\)</span></p>
<p><em>Bi = Biot number</em></p>
<p><span class="math">\(\tau\)</span> <em>= Fourier number</em></p>
<p><span class="math">\(q_{max}\)</span> = <em>maximum possible heat transfer between solid and surrounding</em></p>
<p><span class="math">\(q_{0 \to t}\)</span> <em>= heat transferred in time interval [0, t]</em></p>
<p class="rubric">References</p>
Expand Down
Loading

0 comments on commit 10d5cb0

Please sign in to comment.