Valve

Val.ipynb

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    "%matplotlib inline\n",
    "\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set(style=\"darkgrid\")"
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    "# Valve torque calculation\n",
    "\n",
    "Qian Bao, 11/27/2018\n",
    "\n",
    "This document shows the process of estimating the torque of the rotating valve.\n",
    "\n",
    "In order to calculate the torque needed to rotate the valve, we first need to analyze the force exerted on the valve. On the front surface, high pressure is applied on the high pressure port area, low pressure is applied on the low pressure port area, and anywhere in between is under a pressure between high and low pressure. On the back surface, the inner circle area is under low pressure because it's always connected to the low pressure port and the outer ring is under high pressure for the same reason. \n",
    "\n",
    "<img src=\"./img/diskArea.png\" style=\"height:400px\">\n",
    "\n",
    "The area of each part is obtained in Solidworks.\n",
    "\n",
    "$$ \\omega=\\int F\\cdot r $$"
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