solutions/Recycle_systems.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c6dcf1ab",
   "metadata": {},
   "source": [
    "# Recycle systems"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "80aceb2e",
   "metadata": {},
   "source": [
    "Recycle systems in BioSTEAM are solved through accelerated fixed-point iteration (just like in Aspen Plus and SuperPro). In the following example, we will look at a common configuration for distillation with heat integration. We will create and analyse a beer column with heat integration for the separation of ethanol from fermentation broth in 2 steps:\n",
    "\n",
    "1. Create and solve the network of unit operations. \n",
    "\n",
    "2. Visualize the recycle system."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9339e8b5",
   "metadata": {},
   "source": [
    "**Step 1: Build the system**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e0a013ca",
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "System: SYS1\n",
      "Highest convergence error among components in recycle\n",
      "stream P2-0 after 2 loops:\n",
      "- flow rate   0.00e+00 kmol/hr (0%)\n",
      "- temperature 0.00e+00 K (0%)\n",
      "ins...\n",
      "[0] feed\n",
      "    phase: 'l', T: 298.15 K, P: 101325 Pa\n",
      "    flow (kmol/hr): Water    7.33e+03\n",
      "                    Ethanol  391\n",
      "outs...\n",
      "[0] distillate\n",
      "    phase: 'g', T: 383.54 K, P: 212782 Pa\n",
      "    flow (kmol/hr): Water    726\n",
      "                    Ethanol  391\n",
      "[1] cooled_bottoms_product\n",
      "    phase: 'l', T: 303.15 K, P: 405300 Pa\n",
      "    flow (kmol/hr): Water    6.6e+03\n",
      "                    Ethanol  0.066\n"
     ]
    }
   ],
   "source": [
    "import biosteam as bst\n",
    "bst.nbtutorial()\n",
    "bst.settings.set_thermo(['Water', 'Ethanol'])\n",
    "with bst.System() as sys:\n",
    "    feed = bst.Stream(\n",
    "        'feed',\n",
    "        Ethanol=12,\n",
    "        Water=88,\n",
    "        total_flow=1.5e5,\n",
    "        units='kg/hr',\n",
    "    )\n",
    "    pump = bst.Pump(ins=feed, P=6 * 101325)\n",
    "    recycle = bst.Stream('recycle')\n",
    "    heat_exchanger = bst.HXprocess(\n",
    "        ins=(pump-0, recycle), \n",
    "        outs=('hot_feed', 'cooled_bottoms_product'),\n",
    "    )\n",
    "    beer_column = bst.BinaryDistillation(# ShortcutColumn for 3+ components\n",
    "        ins=heat_exchanger-0,\n",
    "        outs=('distillate', 'bottoms_product'), \n",
    "        LHK=('Ethanol', 'Water'), # Light and heavy key\n",
    "        P=2.1 * 101325, # Operating pressure [Pa]\n",
    "        y_top=0.35, # Distillate light-key fraction\n",
    "        x_bot=1e-5, # Bottoms heavy-key fraction\n",
    "        k=1.1, # Actual reflux over minimum reflux ratio\n",
    "    )\n",
    "    pump = bst.Pump(ins=beer_column-1, outs=recycle, P=4 * 101325)\n",
    "sys.simulate()\n",
    "sys.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "878d7f16",
   "metadata": {},
   "source": [
    "**Step 2: Visualize the system**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2b31af50",
   "metadata": {},
   "source": [
    "Pass `number=True` to label the simulation order in the diagram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b530ef5f",
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
    {
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       "Pump&#45;&gt;[1] H1\n",
       "Heat exchanger -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>[0] P1\n",
       "Pump:c-&gt;[1] H1\n",
       "Heat exchanger:c</title>\n",
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       "<g id=\"a_edge2-label\"><a xlink:title=\"Temperature: 298.15 K\n",
       "Pressure: 607950 Pa\n",
       "Liquid flow: 7.72e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"133\" y=\"-73.59\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> s1</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [1] H1\n",
       "Heat exchanger&#45;&gt;[2] D1\n",
       "Distillation Column -->\n",
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       "<title>[1] H1\n",
       "Heat exchanger:c-&gt;[2] D1\n",
       "Distillation Column:c</title>\n",
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       "<g id=\"a_edge3-label\"><a xlink:title=\"Temperature: 374.47 K\n",
       "Pressure: 607950 Pa\n",
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       "<text text-anchor=\"middle\" x=\"350.08\" y=\"-141.59\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> hot feed</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [1] H1\n",
       "Heat exchanger&#45;&gt; cooled bottoms\n",
       " product -->\n",
       "<g id=\"edge6\" class=\"edge\">\n",
       "<title>[1] H1\n",
       "Heat exchanger:c-&gt; cooled bottoms\n",
       " product:w</title>\n",
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       "<g id=\"a_edge6-label\"><a xlink:title=\"Temperature: 303.15 K\n",
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       "</a>\n",
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       "</g>\n",
       "<!-- [2] D1\n",
       "Distillation Column&#45;&gt;[3] P2\n",
       "Pump -->\n",
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       "<title>[2] D1\n",
       "Distillation Column:s-&gt;[3] P2\n",
       "Pump:c</title>\n",
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       "<g id=\"a_edge7-label\"><a xlink:title=\"Temperature: 395.33 K\n",
       "Pressure: 212782 Pa\n",
       "Liquid flow: 6.6e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"604.58\" y=\"-95.59\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> bottoms product</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [2] D1\n",
       "Distillation Column&#45;&gt; distillate -->\n",
       "<g id=\"edge4\" class=\"edge\">\n",
       "<title>[2] D1\n",
       "Distillation Column:n-&gt; distillate:w</title>\n",
       "<path fill=\"none\" stroke=\"#4e4e4e\" d=\"M476.08,-198.79C476.08,-293.68 594.69,-197.79 689.58,-197.79\"/>\n",
       "<g id=\"a_edge4-label\"><a xlink:title=\"Temperature: 383.54 K\n",
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       "Gas flow: 1.12e+03 kmol/hr\">\n",
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       "</a>\n",
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       "</g>\n",
       "<!-- [3] P2\n",
       "Pump&#45;&gt;[1] H1\n",
       "Heat exchanger -->\n",
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       "Pump:c-&gt;[1] H1\n",
       "Heat exchanger:c</title>\n",
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       "<g id=\"a_edge5-label\"><a xlink:title=\"Temperature: 395.33 K\n",
       "Pressure: 405300 Pa\n",
       "Liquid flow: 6.6e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"476.08\" y=\"-32.59\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> recycle</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!--  feed&#45;&gt;[0] P1\n",
       "Pump -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title> feed:e-&gt;[0] P1\n",
       "Pump:c</title>\n",
       "<path fill=\"none\" stroke=\"#4e4e4e\" stroke-width=\"2.2\" d=\"M11,-69.79C27.62,-69.79 46.3,-69.79 60.97,-69.79\"/>\n",
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       "Pressure: 101325 Pa\n",
       "Liquid flow: 7.72e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"36\" y=\"-73.59\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> feed</text>\n",
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       "</g>\n",
       "<!-- [0] P1\n",
       "Pump -->\n",
       "<g id=\"node1\" class=\"node\">\n",
       "<title>[0] P1\n",
       "Pump</title>\n",
       "<g id=\"a_node1\"><a xlink:title=\"Electricity consumption: 33.1 kW\n",
       "Utility cost: 2.58 USD/hr\n",
       "Purchase cost: 9,899 USD\n",
       "Installed equipment cost: 32,668 USD\">\n",
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       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [1] H1\n",
       "Heat exchanger -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>[1] H1\n",
       "Heat exchanger</title>\n",
       "<g id=\"a_node2\"><a xlink:title=\"Purchase cost: 251,598 USD\n",
       "Installed equipment cost: 799,713 USD\">\n",
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       "<!-- [2] D1\n",
       "Distillation Column -->\n",
       "<g id=\"node3\" class=\"node\">\n",
       "<title>[2] D1\n",
       "Distillation Column</title>\n",
       "<g id=\"a_node3\"><a xlink:title=\"Electricity consumption: 6.61 kW\n",
       "Cooling duty: -1.56e+03 MJ/hr\n",
       "Heating duty: 5.97e+04 MJ/hr\n",
       "Utility cost: 368 USD/hr\n",
       "Purchase cost: 325,197 USD\n",
       "Installed equipment cost: 1,136,981 USD\">\n",
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       "</g>\n",
       "</g>\n",
       "<!-- [3] P2\n",
       "Pump -->\n",
       "<g id=\"node4\" class=\"node\">\n",
       "<title>[3] P2\n",
       "Pump</title>\n",
       "<g id=\"a_node4\"><a xlink:title=\"Electricity consumption: 10.8 kW\n",
       "Utility cost: 0.841 USD/hr\n",
       "Purchase cost: 6,880 USD\n",
       "Installed equipment cost: 22,704 USD\">\n",
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       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!--  feed -->\n",
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       "<title> feed</title>\n",
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       "</g>\n",
       "<!--  distillate -->\n",
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       "<title> distillate</title>\n",
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       "</g>\n",
       "<!--  cooled bottoms\n",
       " product -->\n",
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       "<title> cooled bottoms\n",
       " product</title>\n",
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     "metadata": {},
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    }
   ],
   "source": [
    "sys.diagram(number=True, format='svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9560e94e",
   "metadata": {},
   "source": [
    "This topography shows a flat system without explicit recycle loops. To view the nested system, pass `kind='cluster'`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "efc8e777",
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
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       "Pump&#45;&gt;[1.0] H1\n",
       "Heat exchanger -->\n",
       "<g id=\"edge7\" class=\"edge\">\n",
       "<title>[0] P1\n",
       "Pump:c-&gt;[1.0] H1\n",
       "Heat exchanger:c</title>\n",
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       "<text text-anchor=\"middle\" x=\"133\" y=\"-113.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> s1</text>\n",
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       "</g>\n",
       "<!-- [1.0] H1\n",
       "Heat exchanger&#45;&gt;[1.1] D1\n",
       "Distillation Column -->\n",
       "<g id=\"edge4\" class=\"edge\">\n",
       "<title>[1.0] H1\n",
       "Heat exchanger:c-&gt;[1.1] D1\n",
       "Distillation Column:c</title>\n",
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       "<g id=\"a_edge4-label\"><a xlink:title=\"Temperature: 374.47 K\n",
       "Pressure: 607950 Pa\n",
       "Liquid flow: 7.72e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"358.08\" y=\"-181.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> hot feed</text>\n",
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       "</g>\n",
       "<!-- [1.0] H1\n",
       "Heat exchanger&#45;&gt; cooled bottoms\n",
       " product -->\n",
       "<g id=\"edge6\" class=\"edge\">\n",
       "<title>[1.0] H1\n",
       "Heat exchanger:c-&gt; cooled bottoms\n",
       " product:w</title>\n",
       "<path fill=\"none\" stroke=\"#4e4e4e\" stroke-width=\"1.6\" d=\"M298.85,-110C349.11,-110 418.81,-110 480.08,-110\"/>\n",
       "<g id=\"a_edge6-label\"><a xlink:title=\"Temperature: 303.15 K\n",
       "Pressure: 405300 Pa\n",
       "Liquid flow: 6.6e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"358.08\" y=\"-128.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> cooled bottoms</text>\n",
       "<text text-anchor=\"middle\" x=\"358.08\" y=\"-113.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> product</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [1.1] D1\n",
       "Distillation Column&#45;&gt;[1.2] P2\n",
       "Pump -->\n",
       "<g id=\"edge5\" class=\"edge\">\n",
       "<title>[1.1] D1\n",
       "Distillation Column:s-&gt;[1.2] P2\n",
       "Pump:c</title>\n",
       "<path fill=\"none\" stroke=\"#4e4e4e\" stroke-width=\"1.6\" d=\"M484.08,-152C484.08,-121.49 521.19,-143.18 550.58,-135 589.43,-124.19 633.4,-110.84 664.73,-101.14\"/>\n",
       "<polygon fill=\"#4e4e4e\" stroke=\"#4e4e4e\" stroke-width=\"1.6\" points=\"665.92,-104.43 674.43,-98.12 663.84,-97.75 665.92,-104.43\"/>\n",
       "<g id=\"a_edge5-label\"><a xlink:title=\"Temperature: 395.33 K\n",
       "Pressure: 212782 Pa\n",
       "Liquid flow: 6.6e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"612.58\" y=\"-135.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> bottoms product</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [1.1] D1\n",
       "Distillation Column&#45;&gt; distillate -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title>[1.1] D1\n",
       "Distillation Column:n-&gt; distillate:w</title>\n",
       "<path fill=\"none\" stroke=\"#4e4e4e\" d=\"M484.08,-240C484.08,-269.56 521.07,-240.67 550.58,-239 618.8,-235.15 635.26,-224 703.58,-224\"/>\n",
       "<g id=\"a_edge3-label\"><a xlink:title=\"Temperature: 383.54 K\n",
       "Pressure: 212782 Pa\n",
       "Gas flow: 1.12e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"612.58\" y=\"-241.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> distillate</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [1.2] P2\n",
       "Pump&#45;&gt;[1.0] H1\n",
       "Heat exchanger -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>[1.2] P2\n",
       "Pump:c-&gt;[1.0] H1\n",
       "Heat exchanger:c</title>\n",
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       "<g id=\"a_edge2-label\"><a xlink:title=\"Temperature: 395.33 K\n",
       "Pressure: 405300 Pa\n",
       "Liquid flow: 6.6e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"484.08\" y=\"-73.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#f98f60\"> recycle</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!--  feed&#45;&gt;[0] P1\n",
       "Pump -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title> feed:e-&gt;[0] P1\n",
       "Pump:c</title>\n",
       "<path fill=\"none\" stroke=\"#4e4e4e\" d=\"M11,-110C27.62,-110 46.3,-110 60.97,-110\"/>\n",
       "<g id=\"a_edge1-label\"><a xlink:title=\"Temperature: 298.15 K\n",
       "Pressure: 101325 Pa\n",
       "Liquid flow: 7.72e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"36\" y=\"-113.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> feed</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [0] P1\n",
       "Pump -->\n",
       "<g id=\"node1\" class=\"node\">\n",
       "<title>[0] P1\n",
       "Pump</title>\n",
       "<g id=\"a_node1\"><a xlink:title=\"Electricity consumption: 33.1 kW\n",
       "Utility cost: 2.58 USD/hr\n",
       "Purchase cost: 9,899 USD\n",
       "Installed equipment cost: 32,668 USD\">\n",
       "<defs>\n",
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       "</linearGradient>\n",
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       "<polygon fill=\"url(#l_0)\" stroke=\"#4e4e4e\" points=\"115,-131.5 61,-131.5 61,-88.5 115,-88.5 115,-131.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"88\" y=\"-113.8\" font-family=\"Arial\" font-size=\"14.00\">[0] P1</text>\n",
       "<text text-anchor=\"middle\" x=\"88\" y=\"-98.8\" font-family=\"Arial\" font-size=\"14.00\">Pump</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [1.0] H1\n",
       "Heat exchanger -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>[1.0] H1\n",
       "Heat exchanger</title>\n",
       "<g id=\"a_node2\"><a xlink:title=\"Purchase cost: 251,598 USD\n",
       "Installed equipment cost: 799,713 USD\">\n",
       "<defs>\n",
       "<linearGradient id=\"l_1\" gradientUnits=\"userSpaceOnUse\" x1=\"228.79\" y1=\"-40.42\" x2=\"228.79\" y2=\"-179.58\">\n",
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       "<stop offset=\"1\" style=\"stop-color:#ed5a6a;stop-opacity:1.;\"/>\n",
       "</linearGradient>\n",
       "</defs>\n",
       "<ellipse fill=\"url(#l_1)\" stroke=\"transparent\" cx=\"228.79\" cy=\"-110\" rx=\"69.58\" ry=\"69.58\"/>\n",
       "<text text-anchor=\"middle\" x=\"228.79\" y=\"-113.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"white\">[1.0] H1</text>\n",
       "<text text-anchor=\"middle\" x=\"228.79\" y=\"-98.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"white\">Heat exchanger</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [1.1] D1\n",
       "Distillation Column -->\n",
       "<g id=\"node3\" class=\"node\">\n",
       "<title>[1.1] D1\n",
       "Distillation Column</title>\n",
       "<g id=\"a_node3\"><a xlink:title=\"Electricity consumption: 6.61 kW\n",
       "Cooling duty: -1.56e+03 MJ/hr\n",
       "Heating duty: 5.97e+04 MJ/hr\n",
       "Utility cost: 368 USD/hr\n",
       "Purchase cost: 325,197 USD\n",
       "Installed equipment cost: 1,136,981 USD\">\n",
       "<defs>\n",
       "<linearGradient id=\"l_2\" gradientUnits=\"userSpaceOnUse\" x1=\"417.58\" y1=\"-196\" x2=\"550.58\" y2=\"-196\">\n",
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       "</linearGradient>\n",
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       "<text text-anchor=\"middle\" x=\"484.08\" y=\"-199.8\" font-family=\"Arial\" font-size=\"14.00\">[1.1] D1</text>\n",
       "<text text-anchor=\"middle\" x=\"484.08\" y=\"-184.8\" font-family=\"Arial\" font-size=\"14.00\">Distillation Column</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [1.2] P2\n",
       "Pump -->\n",
       "<g id=\"node4\" class=\"node\">\n",
       "<title>[1.2] P2\n",
       "Pump</title>\n",
       "<g id=\"a_node4\"><a xlink:title=\"Electricity consumption: 10.8 kW\n",
       "Utility cost: 0.841 USD/hr\n",
       "Purchase cost: 6,880 USD\n",
       "Installed equipment cost: 22,704 USD\">\n",
       "<defs>\n",
       "<linearGradient id=\"l_3\" gradientUnits=\"userSpaceOnUse\" x1=\"674.58\" y1=\"-88\" x2=\"740.58\" y2=\"-88\">\n",
       "<stop offset=\"0\" style=\"stop-color:white;stop-opacity:1.;\"/>\n",
       "<stop offset=\"1\" style=\"stop-color:#cdcdcd;stop-opacity:1.;\"/>\n",
       "</linearGradient>\n",
       "</defs>\n",
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       "<text text-anchor=\"middle\" x=\"707.58\" y=\"-91.8\" font-family=\"Arial\" font-size=\"14.00\">[1.2] P2</text>\n",
       "<text text-anchor=\"middle\" x=\"707.58\" y=\"-76.8\" font-family=\"Arial\" font-size=\"14.00\">Pump</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!--  feed -->\n",
       "<g id=\"node5\" class=\"node\">\n",
       "<title> feed</title>\n",
       "<polygon fill=\"#f98f60\" stroke=\"#4e4e4e\" points=\"5.5,-115.5 0,-110 5.5,-104.5 11,-110 5.5,-115.5\"/>\n",
       "</g>\n",
       "<!--  distillate -->\n",
       "<g id=\"node6\" class=\"node\">\n",
       "<title> distillate</title>\n",
       "<polygon fill=\"#f98f60\" stroke=\"#4e4e4e\" points=\"713.08,-224 704.83,-231 704.83,-217 713.08,-224\"/>\n",
       "</g>\n",
       "<!--  cooled bottoms\n",
       " product -->\n",
       "<g id=\"node7\" class=\"node\">\n",
       "<title> cooled bottoms\n",
       " product</title>\n",
       "<polygon fill=\"#f98f60\" stroke=\"#4e4e4e\" points=\"489.58,-110 481.33,-117 481.33,-103 489.58,-110\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sys.diagram(number=True, kind='cluster', format='svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b222a519",
   "metadata": {},
   "source": [
    "Some unit operations are composed of multiple unit operations that are solved internally with specialized algorithms. To view the first layer of these auxiliary units, pass `auxiliaries=1`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6aae3937",
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
    {
     "data": {
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       "<polygon fill=\"#ffffff\" fill-opacity=\"0.666667\" stroke=\"transparent\" points=\"-4,4 -4,-434.2 1391.01,-434.2 1391.01,4 -4,4\"/>\n",
       "<!-- [0] P1\n",
       "Pump&#45;&gt;[1] H1\n",
       "Heat exchanger -->\n",
       "<g id=\"edge4\" class=\"edge\">\n",
       "<title>[0] P1\n",
       "Pump:c-&gt;[1] H1\n",
       "Heat exchanger:c</title>\n",
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       "<g id=\"a_edge4-label\"><a xlink:title=\"Temperature: 298.15 K\n",
       "Pressure: 607950 Pa\n",
       "Liquid flow: 7.72e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"133\" y=\"-85.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> s1</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [1] H1\n",
       "Heat exchanger&#45;&gt;[2] D1\n",
       "Distillation Column -->\n",
       "<g id=\"edge5\" class=\"edge\">\n",
       "<title>[1] H1\n",
       "Heat exchanger:c-&gt;[2] D1\n",
       "Distillation Column:c</title>\n",
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       "<g id=\"a_edge5-label\"><a xlink:title=\"Temperature: 374.47 K\n",
       "Pressure: 607950 Pa\n",
       "Liquid flow: 7.72e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"350.08\" y=\"-163.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> hot feed</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [1] H1\n",
       "Heat exchanger&#45;&gt; cooled bottoms\n",
       " product -->\n",
       "<g id=\"edge13\" class=\"edge\">\n",
       "<title>[1] H1\n",
       "Heat exchanger:c-&gt; cooled bottoms\n",
       " product:w</title>\n",
       "<path fill=\"none\" stroke=\"#4e4e4e\" stroke-width=\"1.6\" d=\"M290.85,-82C341.11,-82 410.81,-82 472.08,-82\"/>\n",
       "<g id=\"a_edge13-label\"><a xlink:title=\"Temperature: 303.15 K\n",
       "Pressure: 405300 Pa\n",
       "Liquid flow: 6.6e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"350.08\" y=\"-100.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> cooled bottoms</text>\n",
       "<text text-anchor=\"middle\" x=\"350.08\" y=\"-85.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> product</text>\n",
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       "</g>\n",
       "<!-- [2] D1\n",
       "Distillation Column&#45;&gt;[3] D1\n",
       "Condenser\n",
       "Auxiliary -->\n",
       "<g id=\"edge6\" class=\"edge\">\n",
       "<title>[2] D1\n",
       "Distillation Column:n-&gt;[3] D1\n",
       "Condenser\n",
       "Auxiliary:c</title>\n",
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       "<g id=\"a_edge6-label\"><a xlink:title=\"Temperature: 383.91 K\n",
       "Pressure: 212782 Pa\n",
       "Gas flow: 1.15e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"570.58\" y=\"-359.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> vapor</text>\n",
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       "</g>\n",
       "</g>\n",
       "<!-- [2] D1\n",
       "Distillation Column&#45;&gt;[5] D1\n",
       "Pump\n",
       "Auxiliary -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>[2] D1\n",
       "Distillation Column:c-&gt;[5] D1\n",
       "Pump\n",
       "Auxiliary:c</title>\n",
       "<path fill=\"none\" stroke=\"#4e4e4e\" stroke-width=\"1.6\" d=\"M542.63,-149.24C545.3,-147.79 547.96,-146.37 550.58,-145 568.25,-135.77 588.15,-126.39 605.33,-118.59\"/>\n",
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       "<g id=\"a_edge1-label\"><a xlink:title=\"Temperature: 395.32 K\n",
       "Pressure: 212782 Pa\n",
       "Liquid flow: 7.76e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"570.58\" y=\"-148.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> liquid</text>\n",
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       "</g>\n",
       "<!-- [3] D1\n",
       "Condenser\n",
       "Auxiliary&#45;&gt;[4] D1\n",
       "Reflux drum\n",
       "Auxiliary -->\n",
       "<g id=\"edge7\" class=\"edge\">\n",
       "<title>[3] D1\n",
       "Condenser\n",
       "Auxiliary:c-&gt;[4] D1\n",
       "Reflux drum\n",
       "Auxiliary:c</title>\n",
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       "Gas flow: 1.12e+03 kmol/hr\n",
       "Liquid flow: 38.5 kmol/hr\">\n",
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       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [4] D1\n",
       "Reflux drum\n",
       "Auxiliary&#45;&gt;[2] D1\n",
       "Distillation Column -->\n",
       "<g id=\"edge14\" class=\"edge\">\n",
       "<title>[4] D1\n",
       "Reflux drum\n",
       "Auxiliary:c-&gt;[2] D1\n",
       "Distillation Column:c</title>\n",
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       "Pressure: 212782 Pa\n",
       "Liquid flow: 38.5 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"648.79\" y=\"-271.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> condensate</text>\n",
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       "</g>\n",
       "<!-- [4] D1\n",
       "Reflux drum\n",
       "Auxiliary&#45;&gt; distillate -->\n",
       "<g id=\"edge8\" class=\"edge\">\n",
       "<title>[4] D1\n",
       "Reflux drum\n",
       "Auxiliary:c-&gt; distillate:w</title>\n",
       "<path fill=\"none\" stroke=\"#4e4e4e\" d=\"M858.11,-309C908.68,-309 992.67,-309 1065,-309\"/>\n",
       "<g id=\"a_edge8-label\"><a xlink:title=\"Temperature: 383.54 K\n",
       "Pressure: 212782 Pa\n",
       "Gas flow: 1.12e+03 kmol/hr\">\n",
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       "</g>\n",
       "</g>\n",
       "<!-- [5] D1\n",
       "Pump\n",
       "Auxiliary&#45;&gt;[6] D1\n",
       "Reboiler\n",
       "Auxiliary -->\n",
       "<g id=\"edge9\" class=\"edge\">\n",
       "<title>[5] D1\n",
       "Pump\n",
       "Auxiliary:c-&gt;[6] D1\n",
       "Reboiler\n",
       "Auxiliary:c</title>\n",
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       "<g id=\"a_edge9-label\"><a xlink:title=\"Temperature: 376.97 K\n",
       "Pressure: 212782 Pa\n",
       "Liquid flow: 7.76e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"731.99\" y=\"-101.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> </text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [6] D1\n",
       "Reboiler\n",
       "Auxiliary&#45;&gt;[7] D1\n",
       "Bottoms split\n",
       "Auxiliary -->\n",
       "<g id=\"edge10\" class=\"edge\">\n",
       "<title>[6] D1\n",
       "Reboiler\n",
       "Auxiliary:c-&gt;[7] D1\n",
       "Bottoms split\n",
       "Auxiliary:w</title>\n",
       "<path fill=\"none\" stroke=\"#4e4e4e\" stroke-width=\"1.6\" d=\"M846.82,-110.52C866.91,-118.88 893.3,-127.66 918.87,-129.6\"/>\n",
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       "<g id=\"a_edge10-label\"><a xlink:title=\"Temperature: 395.33 K\n",
       "Pressure: 212782 Pa\n",
       "Gas flow: 1.15e+03 kmol/hr\n",
       "Liquid flow: 6.6e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"893.49\" y=\"-133.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> </text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [7] D1\n",
       "Bottoms split\n",
       "Auxiliary&#45;&gt;[2] D1\n",
       "Distillation Column -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>[7] D1\n",
       "Bottoms split\n",
       "Auxiliary:c-&gt;[2] D1\n",
       "Distillation Column:c</title>\n",
       "<path fill=\"none\" stroke=\"#4e4e4e\" d=\"M974.85,-146.44C957.01,-149.24 938.45,-151.91 920.99,-154 792.17,-169.42 641.44,-179.24 552.91,-184.17\"/>\n",
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       "<g id=\"a_edge2-label\"><a xlink:title=\"Temperature: 395.33 K\n",
       "Pressure: 212782 Pa\n",
       "Gas flow: 1.15e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"731.99\" y=\"-176.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> boilup</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [7] D1\n",
       "Bottoms split\n",
       "Auxiliary&#45;&gt;[8] P2\n",
       "Pump -->\n",
       "<g id=\"edge12\" class=\"edge\">\n",
       "<title>[7] D1\n",
       "Bottoms split\n",
       "Auxiliary:c-&gt;[8] P2\n",
       "Pump:c</title>\n",
       "<path fill=\"none\" stroke=\"#4e4e4e\" stroke-width=\"1.6\" d=\"M1139.22,-106.05C1197.25,-85.97 1277.76,-58.11 1323.49,-42.29\"/>\n",
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       "<g id=\"a_edge12-label\"><a xlink:title=\"Temperature: 395.33 K\n",
       "Pressure: 212782 Pa\n",
       "Liquid flow: 6.6e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"1271.01\" y=\"-81.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> bottoms product</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [8] P2\n",
       "Pump&#45;&gt;[1] H1\n",
       "Heat exchanger -->\n",
       "<g id=\"edge11\" class=\"edge\">\n",
       "<title>[8] P2\n",
       "Pump:c-&gt;[1] H1\n",
       "Heat exchanger:c</title>\n",
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       "<g id=\"a_edge11-label\"><a xlink:title=\"Temperature: 395.33 K\n",
       "Pressure: 405300 Pa\n",
       "Liquid flow: 6.6e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"731.99\" y=\"-3.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> recycle</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!--  feed&#45;&gt;[0] P1\n",
       "Pump -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title> feed:e-&gt;[0] P1\n",
       "Pump:c</title>\n",
       "<path fill=\"none\" stroke=\"#4e4e4e\" stroke-width=\"2.2\" d=\"M11,-82C27.62,-82 46.3,-82 60.97,-82\"/>\n",
       "<g id=\"a_edge3-label\"><a xlink:title=\"Temperature: 298.15 K\n",
       "Pressure: 101325 Pa\n",
       "Liquid flow: 7.72e+03 kmol/hr\">\n",
       "<text text-anchor=\"middle\" x=\"36\" y=\"-85.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"#4e4e4e\"> feed</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [0] P1\n",
       "Pump -->\n",
       "<g id=\"node1\" class=\"node\">\n",
       "<title>[0] P1\n",
       "Pump</title>\n",
       "<g id=\"a_node1\"><a xlink:title=\"Electricity consumption: 33.1 kW\n",
       "Utility cost: 2.58 USD/hr\n",
       "Purchase cost: 9,899 USD\n",
       "Installed equipment cost: 32,668 USD\">\n",
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       "</defs>\n",
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       "<text text-anchor=\"middle\" x=\"88\" y=\"-85.8\" font-family=\"Arial\" font-size=\"14.00\">[0] P1</text>\n",
       "<text text-anchor=\"middle\" x=\"88\" y=\"-70.8\" font-family=\"Arial\" font-size=\"14.00\">Pump</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [1] H1\n",
       "Heat exchanger -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>[1] H1\n",
       "Heat exchanger</title>\n",
       "<g id=\"a_node2\"><a xlink:title=\"Purchase cost: 251,598 USD\n",
       "Installed equipment cost: 799,713 USD\">\n",
       "<defs>\n",
       "<linearGradient id=\"l_1\" gradientUnits=\"userSpaceOnUse\" x1=\"220.79\" y1=\"-12.42\" x2=\"220.79\" y2=\"-151.58\">\n",
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       "</defs>\n",
       "<ellipse fill=\"url(#l_1)\" stroke=\"transparent\" cx=\"220.79\" cy=\"-82\" rx=\"69.58\" ry=\"69.58\"/>\n",
       "<text text-anchor=\"middle\" x=\"220.79\" y=\"-85.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"white\">[1] H1</text>\n",
       "<text text-anchor=\"middle\" x=\"220.79\" y=\"-70.8\" font-family=\"Arial\" font-size=\"14.00\" fill=\"white\">Heat exchanger</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [2] D1\n",
       "Distillation Column -->\n",
       "<g id=\"node3\" class=\"node\">\n",
       "<title>[2] D1\n",
       "Distillation Column</title>\n",
       "<g id=\"a_node3\"><a xlink:title=\"Electricity consumption: 6.61 kW\n",
       "Cooling duty: -1.56e+03 MJ/hr\n",
       "Heating duty: 5.97e+04 MJ/hr\n",
       "Utility cost: 368 USD/hr\n",
       "Purchase cost: 325,197 USD\n",
       "Installed equipment cost: 1,136,981 USD\">\n",
       "<defs>\n",
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       "<polygon fill=\"url(#l_2)\" stroke=\"#4e4e4e\" points=\"542.58,-231 409.58,-231 409.58,-145 542.58,-145 542.58,-231\"/>\n",
       "<text text-anchor=\"middle\" x=\"476.08\" y=\"-191.8\" font-family=\"Arial\" font-size=\"14.00\">[2] D1</text>\n",
       "<text text-anchor=\"middle\" x=\"476.08\" y=\"-176.8\" font-family=\"Arial\" font-size=\"14.00\">Distillation Column</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [3] D1\n",
       "Condenser\n",
       "Auxiliary -->\n",
       "<g id=\"node4\" class=\"node\">\n",
       "<title>[3] D1\n",
       "Condenser\n",
       "Auxiliary</title>\n",
       "<g id=\"a_node4\"><a xlink:title=\"Cooling duty: -1.56e+03 MJ/hr\n",
       "Utility cost: 0.521 USD/hr\n",
       "Purchase cost: 5,429 USD\n",
       "Installed equipment cost: 7,961 USD\">\n",
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       "<text text-anchor=\"middle\" x=\"648.79\" y=\"-391.3\" font-family=\"Arial\" font-size=\"14.00\" fill=\"white\">[3] D1</text>\n",
       "<text text-anchor=\"middle\" x=\"648.79\" y=\"-376.3\" font-family=\"Arial\" font-size=\"14.00\" fill=\"white\">Condenser</text>\n",
       "<text text-anchor=\"middle\" x=\"648.79\" y=\"-361.3\" font-family=\"Arial\" font-size=\"14.00\" fill=\"white\">Auxiliary</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [4] D1\n",
       "Reflux drum\n",
       "Auxiliary -->\n",
       "<g id=\"node5\" class=\"node\">\n",
       "<title>[4] D1\n",
       "Reflux drum\n",
       "Auxiliary</title>\n",
       "<g id=\"a_node5\"><a xlink:title=\"Purchase cost: 46,833 USD\n",
       "Installed equipment cost: 164,989 USD\">\n",
       "<defs>\n",
       "<linearGradient id=\"l_3\" gradientUnits=\"userSpaceOnUse\" x1=\"764.99\" y1=\"-309\" x2=\"857.99\" y2=\"-309\">\n",
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       "<text text-anchor=\"middle\" x=\"811.49\" y=\"-320.3\" font-family=\"Arial\" font-size=\"14.00\">[4] D1</text>\n",
       "<text text-anchor=\"middle\" x=\"811.49\" y=\"-305.3\" font-family=\"Arial\" font-size=\"14.00\">Reflux drum</text>\n",
       "<text text-anchor=\"middle\" x=\"811.49\" y=\"-290.3\" font-family=\"Arial\" font-size=\"14.00\">Auxiliary</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [5] D1\n",
       "Pump\n",
       "Auxiliary -->\n",
       "<g id=\"node6\" class=\"node\">\n",
       "<title>[5] D1\n",
       "Pump\n",
       "Auxiliary</title>\n",
       "<g id=\"a_node6\"><a xlink:title=\"Electricity consumption: 6.61 kW\n",
       "Utility cost: 0.517 USD/hr\n",
       "Purchase cost: 6,382 USD\n",
       "Installed equipment cost: 21,063 USD\">\n",
       "<defs>\n",
       "<linearGradient id=\"l_4\" gradientUnits=\"userSpaceOnUse\" x1=\"614.79\" y1=\"-100\" x2=\"682.79\" y2=\"-100\">\n",
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       "<text text-anchor=\"middle\" x=\"648.79\" y=\"-111.3\" font-family=\"Arial\" font-size=\"14.00\">[5] D1</text>\n",
       "<text text-anchor=\"middle\" x=\"648.79\" y=\"-96.3\" font-family=\"Arial\" font-size=\"14.00\">Pump</text>\n",
       "<text text-anchor=\"middle\" x=\"648.79\" y=\"-81.3\" font-family=\"Arial\" font-size=\"14.00\">Auxiliary</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [6] D1\n",
       "Reboiler\n",
       "Auxiliary -->\n",
       "<g id=\"node7\" class=\"node\">\n",
       "<title>[6] D1\n",
       "Reboiler\n",
       "Auxiliary</title>\n",
       "<g id=\"a_node7\"><a xlink:title=\"Heating duty: 5.97e+04 MJ/hr\n",
       "Utility cost: 367 USD/hr\n",
       "Purchase cost: 87,976 USD\n",
       "Installed equipment cost: 281,140 USD\">\n",
       "<ellipse fill=\"#ed5a6a\" stroke=\"transparent\" cx=\"811.49\" cy=\"-94\" rx=\"38.78\" ry=\"38.78\"/>\n",
       "<text text-anchor=\"middle\" x=\"811.49\" y=\"-105.3\" font-family=\"Arial\" font-size=\"14.00\" fill=\"white\">[6] D1</text>\n",
       "<text text-anchor=\"middle\" x=\"811.49\" y=\"-90.3\" font-family=\"Arial\" font-size=\"14.00\" fill=\"white\">Reboiler</text>\n",
       "<text text-anchor=\"middle\" x=\"811.49\" y=\"-75.3\" font-family=\"Arial\" font-size=\"14.00\" fill=\"white\">Auxiliary</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [7] D1\n",
       "Bottoms split\n",
       "Auxiliary -->\n",
       "<g id=\"node8\" class=\"node\">\n",
       "<title>[7] D1\n",
       "Bottoms split\n",
       "Auxiliary</title>\n",
       "<g id=\"a_node8\"><a xlink:title=\"No capital costs or utilities\">\n",
       "<defs>\n",
       "<linearGradient id=\"l_5\" gradientUnits=\"userSpaceOnUse\" x1=\"928.99\" y1=\"-130\" x2=\"1139.01\" y2=\"-130\">\n",
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       "</defs>\n",
       "<polygon fill=\"url(#l_5)\" stroke=\"#4e4e4e\" points=\"928.99,-130 1139.01,-55.09 1139.01,-204.91 928.99,-130\"/>\n",
       "<text text-anchor=\"middle\" x=\"1069\" y=\"-141.3\" font-family=\"Arial\" font-size=\"14.00\">[7] D1</text>\n",
       "<text text-anchor=\"middle\" x=\"1069\" y=\"-126.3\" font-family=\"Arial\" font-size=\"14.00\">Bottoms split</text>\n",
       "<text text-anchor=\"middle\" x=\"1069\" y=\"-111.3\" font-family=\"Arial\" font-size=\"14.00\">Auxiliary</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!-- [8] P2\n",
       "Pump -->\n",
       "<g id=\"node9\" class=\"node\">\n",
       "<title>[8] P2\n",
       "Pump</title>\n",
       "<g id=\"a_node9\"><a xlink:title=\"Electricity consumption: 10.8 kW\n",
       "Utility cost: 0.841 USD/hr\n",
       "Purchase cost: 6,880 USD\n",
       "Installed equipment cost: 22,704 USD\">\n",
       "<defs>\n",
       "<linearGradient id=\"l_6\" gradientUnits=\"userSpaceOnUse\" x1=\"1333.01\" y1=\"-30\" x2=\"1387.01\" y2=\"-30\">\n",
       "<stop offset=\"0\" style=\"stop-color:white;stop-opacity:1.;\"/>\n",
       "<stop offset=\"1\" style=\"stop-color:#cdcdcd;stop-opacity:1.;\"/>\n",
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       "</defs>\n",
       "<polygon fill=\"url(#l_6)\" stroke=\"#4e4e4e\" points=\"1387.01,-51.5 1333.01,-51.5 1333.01,-8.5 1387.01,-8.5 1387.01,-51.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"1360.01\" y=\"-33.8\" font-family=\"Arial\" font-size=\"14.00\">[8] P2</text>\n",
       "<text text-anchor=\"middle\" x=\"1360.01\" y=\"-18.8\" font-family=\"Arial\" font-size=\"14.00\">Pump</text>\n",
       "</a>\n",
       "</g>\n",
       "</g>\n",
       "<!--  feed -->\n",
       "<g id=\"node10\" class=\"node\">\n",
       "<title> feed</title>\n",
       "<polygon fill=\"#f98f60\" stroke=\"#4e4e4e\" points=\"5.5,-87.5 0,-82 5.5,-76.5 11,-82 5.5,-87.5\"/>\n",
       "</g>\n",
       "<!--  distillate -->\n",
       "<g id=\"node11\" class=\"node\">\n",
       "<title> distillate</title>\n",
       "<polygon fill=\"#f98f60\" stroke=\"#4e4e4e\" points=\"1074.5,-309 1066.25,-316 1066.25,-302 1074.5,-309\"/>\n",
       "</g>\n",
       "<!--  cooled bottoms\n",
       " product -->\n",
       "<g id=\"node12\" class=\"node\">\n",
       "<title> cooled bottoms\n",
       " product</title>\n",
       "<polygon fill=\"#f98f60\" stroke=\"#4e4e4e\" points=\"481.58,-82 473.33,-89 473.33,-75 481.58,-82\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sys.diagram(number=True, auxiliaries=1, format='svg')"
   ]
  }
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