{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" }, "colab": { "name": "06.00-Flow.ipynb", "provenance": [] } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "-5btTy-RHBIe" }, "source": [ "\n", "*This notebook contains course material from [FAT0413156](https://gmxavier.github.io/FAT0413156)\n", "by Gilberto Xavier (gmxavier at fat.uerj.br); the content is available [on Github](https://github.com/gmxavier/FAT0413156.git).\n", "The text is released under the [CC-BY-NC-SA-4.0 license](https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode),\n", "and code is released under the [MIT license](https://opensource.org/licenses/MIT).*" ] }, { "cell_type": "markdown", "metadata": { "id": "sYICmmO3HBIp" }, "source": [ "\n", "< [Temperature measurement](http://nbviewer.jupyter.org/github/gmxavier/FAT0413156/blob/master/notebooks/05.00-Temperature.ipynb) | [Contents](toc.ipynb) | [Control and safety valves](http://nbviewer.jupyter.org/github/gmxavier/FAT0413156/blob/master/notebooks/07.00-Control-Safety-Valves.ipynb) >

\"Open

\"Download\"" ] }, { "cell_type": "markdown", "metadata": { "id": "ZOKsKIQWHBIq" }, "source": [ "# Flow measurement" ] }, { "cell_type": "markdown", "metadata": { "id": "47iY7LxqHFcr" }, "source": [ "## Continuous flow measurement [(Lessons in Industrial Instrumentation, Chapter 22)](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii.pdf#page=1612)\n", "\n", "Supplementary material:\n", "- [FLOW MEASUREMENT ORIFICE PLATE SIZING & UNCERTAINTY ANALYSIS](https://www.flownex.com/legacy/fnxdocs/casestudies/CS48_Flow%20Measurement%20Orifice%20Plate%20Sizing%20and%20Uncertainty%20analysis.pdf)\n", "- [Emerson Sizing & Selection](https://www.emerson.com/catalog/RMTProductAdvisorToolsDisplayView?fromPage=tools&redirectURL=https%3A%2F%2Fwww.emerson.com%2Fcatalog%2FMyToolsDisplay%3FcatalogId%3D20051%26langId%3D-1%26storeId%3D20151&catalogId=20051&langId=-1&storeId=20151)\n", "- [The calculation of the uncertainty of the orifice-plate discharge coefficient](https://www.sciencedirect.com/science/article/pii/S0955598621001485)" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "vsCr5oSOPg9N", "outputId": "0c2246b4-e3d7-4ce9-85dd-734ce4813525" }, "source": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo('Ghne0ljubJY')" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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\n" 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}, "metadata": {}, "execution_count": 75 } ] }, { "cell_type": "markdown", "metadata": { "id": "8ii-sncZIChS" }, "source": [ "### Laminar flowmeters [(Lessons in Industrial Instrumentation, Section 22.2)](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii.pdf#page=1679)" ] }, { "cell_type": "markdown", "metadata": { "id": "rMDBsKkXIFoq" }, "source": [ "### Variable-area flowmeters [(Lessons in Industrial Instrumentation, Section 22.3)](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii.pdf#page=1680)" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "QdnlRJMSe85H", "outputId": "07d39309-1ad2-4bb7-fd98-c65102390d35" }, "source": [ "YouTubeVideo('bnuWxvK8v6g') # rotameter" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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\n" }, "metadata": {}, "execution_count": 73 } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "Ha0SbqmeUHef", "outputId": "35e8be6d-9b0a-41ad-a6c9-81330ec68736" }, "source": [ "YouTubeVideo('Pz-Mvdc6nf4') # rotameter" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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}, "metadata": {}, "execution_count": 60 } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "VH6WOwiBeNKb", "outputId": "f94b6ea8-c64c-4112-9b55-89ed5950506a" }, "source": [ " YouTubeVideo('BgZMdBY4kLM') # rotameter" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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}, "metadata": {}, "execution_count": 70 } ] }, { "cell_type": "code", "metadata": { "id": "odNEFphQqhzQ", "outputId": "cbff1236-a2bc-4b05-ad81-b579367d5088", "colab": { "base_uri": "https://localhost:8080/", "height": 322 } }, "source": [ "YouTubeVideo('LjEBYDmdo_Q') # v-notch weir" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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\n" }, "metadata": {}, "execution_count": 85 } ] }, { "cell_type": "code", "metadata": { "id": "qJVK58XArCTA", "outputId": "ad668fbe-0e61-437a-b617-2cfea9786167", "colab": { "base_uri": "https://localhost:8080/", "height": 322 } }, "source": [ "YouTubeVideo('ZcyWsnGcqCs') # parshall flume" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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\n" }, "metadata": {}, "execution_count": 86 } ] }, { "cell_type": "markdown", "metadata": { "id": "2DM8eNLkIwVg" }, "source": [ "### Velocity-based flowmeters [(Lessons in Industrial Instrumentation, Section 22.4)](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii.pdf#page=1692)" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "46uPzBWtemUn", "outputId": "5d445489-7f72-48df-a111-8cf1ea5ced9b" }, "source": [ "YouTubeVideo('-RvwXGzzv4c') # turbine" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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}, "metadata": {}, "execution_count": 69 } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "_JIQrIOxSdll", "outputId": "27137d4f-ecae-48ce-9c92-3ba17a6efa79" }, "source": [ "YouTubeVideo('BpNrvZtobAM') # vortex" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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}, "metadata": {}, "execution_count": 54 } ] }, { "cell_type": "markdown", "source": [ "Supplementary material:\n", "- [Model DY Vortex Flowmeter](https://web-material3.yokogawa.com/TI01F06A00-01E.pdf)" ], "metadata": { "id": "8BSO_3mVAKDy" } }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "WqttoV8sUqq8", "outputId": "92ca70b1-0a61-46cb-9f97-e5be18638e5d" }, "source": [ "YouTubeVideo('vopAJLuHwJY') # ultrasonic" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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}, "metadata": {}, "execution_count": 68 } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "dfxcc45XWn55", "outputId": "799efde0-2963-4adc-aa65-33a91838f193" }, "source": [ "YouTubeVideo('DD2bBLu6kLM') # ultrasonic" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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}, "metadata": {}, "execution_count": 65 } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "9v_lIVAeNk9L", "outputId": "328c503a-f20e-4317-8dde-d7bb45c6f1d5" }, "source": [ "YouTubeVideo('Cib_kePo458') # ultrasonic" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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\n" }, "metadata": {}, "execution_count": 63 } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "YjiAB4eDRyPI", "outputId": "0d687440-97ea-4fb1-baa5-c019c0b4dcd7" }, "source": [ "YouTubeVideo('lRSjYjg9WRo') # electromagnetic" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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}, "metadata": {}, "execution_count": 55 } ] }, { "cell_type": "markdown", "metadata": { "id": "fQshV4ZyJIye" }, "source": [ "### Positive displacement flowmeters [(Lessons in Industrial Instrumentation, Section 22.5)](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii.pdf#page=1730)\n" ] }, { "cell_type": "code", "metadata": { "id": "wUF6ALwLk_U-", "outputId": "3a58056a-4a09-49f2-887d-b19513e87145", "colab": { "base_uri": "https://localhost:8080/", "height": 322 } }, "source": [ "YouTubeVideo('MaA6WtgtuQo') # rotary vane" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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\n" 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\n" }, "metadata": {}, "execution_count": 83 } ] }, { "cell_type": "code", "metadata": { "id": "4t1uhimFlptg", "outputId": "d111c43c-0923-41c7-d1cd-35f545afbd79", "colab": { "base_uri": "https://localhost:8080/", "height": 322 } }, "source": [ "YouTubeVideo('mOpNVsVV4_w') # oval gear" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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\n" }, "metadata": {}, "execution_count": 80 } ] }, { "cell_type": "code", "metadata": { "id": "GbWTo90jmM70", "outputId": "bb8ffd2f-7535-48e0-d983-e98a36351232", "colab": { "base_uri": "https://localhost:8080/", "height": 322 } }, "source": [ "YouTubeVideo('v3vcPhuWXSs') # nutating disk" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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\n" }, "metadata": {}, "execution_count": 81 } ] }, { "cell_type": "code", "metadata": { "id": "LiGJsVXpmePc", "outputId": "4d37adc0-bb2b-461b-a925-4d6306d034df", "colab": { "base_uri": "https://localhost:8080/", "height": 322 } }, "source": [ "YouTubeVideo('h5UMvzf6xOI') # piston" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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brqWafEJYN45gNzZRw2zWn938FNUeL09WwFjwQd7Tcf2TxcA1reJupB0SmalmeMiw96dShgeQCLhbrnASykhJFhoAPgq0CB7i577uKkYzNFBDHLMXc2HWOUX2qMMQwuojHNyhjgNA4WWN/HSOzUsgZlAtfeno288NBqoEURnqOIV5TQiJlrKoYpqOIHM6MZwbg8FNAsLJpjw6Z4Ho6FONOYXCsSuk3P8AgP7CnFxN+C/2SqKxcrorlacwuUqRAhSEpUiASdSLpCgCkSpECJEqRAJuo/Ak9k/Zdpuo/Lyeyfsg0FL+Uh9hv2TyZpfykPsN+yeWXRT8p5Obwq/GQBY+OUXOw+9a3lc0nAZXD0HNd9bfysA2azkqxZiQX9H4q0o3ZTm4sFlm+f127epX0FQ1vMsLdjWgn3LFWIskerso3qM6CQAi2+6tYA6pr+Yha3M4m1zYcVOfg1X6TI/9T+yLijpI3GoJcDYhWkhjdSBrmkgG3YlnoZKeMvkYANlw+6RsRNPmOjN6xW+PGohYwPZpsFiiKMZWD1Xf7+6kUVOyqY9w0yGwTE7DTkssdtwVNa/zvtZU0bW36RBJ2qSyR9O52gcHbSqI4g9pfYXzbNdhV3JTOjomVMMpcJGh1jsGmxJKzekoYoA3K2AduZRpZ3ynM74KrdXuvYgA9icbUF+l0spxkq0o6oNkygabFZmpifDcPF943rOwXY66dxLFqXC4xM9gdUkdFo+5WksT6qthoWGapeGMtpm2nsCx2KcoazFpzTULHMjdoGs853aVFZHX8pKwyPeRGDq87G9QC1+DYTR0fkwy1hdzjtJ6yr1E99qLDeSpNpa52c+oD0R2netHBFBRta1jWho2CyeqqloGSIacVXvkA1Kxuuk4dLRj21UgYBZu8qYynp6Vpe1gFtrtpVNh1SPCmN2XNlb1jrxlnxW51HPlO8cw1L53OyjK0bOKbimLKhweVUTcoWUzXR00Ye69sx2KE7Hp5Jg+WJoB25NCr37ZW9dTeG1BkEhbGOG0p7CWN6WSR3k9gJWeqOUDo6ZzIY7PJ852wBRcN5R1NHMTIwSsd5zdn1VzfY3ElS0sIs6++wuorad8bRMNdd6r5OUFA3C3PY5zpHEeTtrt4qKOV7ZiG+DFjBt6dz9lM+mtBHUNmJZNENN6d8EiIuwWUGmmiqIxNE7M0qzjN2hIVBlhlg6TCbdSp8Tw3D8S0qYRHMdksYsf7rTTG0ZKgOhilOawB4peljBVeG4lgEnPQvMsA2Sx7u0K+wLlLDV5Y6oiOXc70XK5kvG7K9oynTXUFZrGuTbHk1WFDJJtdBuPs8ElSxs43NdqNife5sTC46LCcm+UppZPBa/NlactztYetaytq2SQeTcCHC4I2FatSRHrZGTxuY+zmOGoVdR4VQNlEhcXPab2edEy6pMd7m4Kfa3OwOA84XCzOlrQ00LWgvsddl1xV4hFTsIaQ+Tc0KjDH6Bx04XKnQQBgu4Nv1CyqXpIp3uZD0vPdqVNpjeL3qCptJ+F71rGd7PKKaqOUTsab8203KrsdxgUx8Gh1kI6bh6IUbCH5oKp3/Kcin/C4+v4Lk1cQ2k/BU7qpotc6J01FEW63zDdqrqeMWjamJ2x21OlVTZaItaDJr7wrMWyixuLCxTWbAkulQqhEiNyECJEpXKBUm9CRUCan/Ak9k/ZOlNVH4Ensn7INDS/lIfYb9k8maX8pD7Dfsnlh0RsQpW11DPTONhKwtvwXmU2C4nBM5j6KclptdrC4HsIXqyRB5N/T68f+jqf9J3crSRzo5rEWLLDXqXoq8/xNtq+cjY6Rx+pWa6cE3k4c+NNcdtnFa2UHgshhDxQObUuje97hoANLK4PKA//ACz/AJSse1vtxjziygNvWCpWVp8GfC4DzbhWdVWf1GIx8wRY3sRZNS0cQjLHxC7PSHWpJ035445Pm9NNf1x9lMradk0RG/iq+FopwWxMIBN9qlRyyvIaQfh/dY5cbbrpx/pxxQzxmOQgq5wrE81H4HL6J6BPDgpTsCbVDO6S19wcmH8n2jZO9ttRay3K58rxqNUNaXHohcx2ZsCljDHgWM5d1luq5kjiw2J1VO4PEYuBbady0xOjVdXMwumzyAGoeOgw+j1lZyio6jG60yzOdzd+k7j1BLFHU8oMUcXuIaTd7/VHethS0bMPhDGN2CwA3BPSe0ijp6egpg0NDcosGjckc8vPVwCjnMX5n7fsnonAngud124yfXEoIF1DkNyrGVocLXUV8BJ0CkdLY7wmMPrWE7tVf1MDaiB8TiQHi1wbFVOExCOoBcddyu124+nl/p7Y1/J+qgnIdlfFueO5deCNDQLa9i17mhwsQo5oYbl1tUys6y8+CumpTLCQXNPmneOpVLaKQPLeacDs2LV1sjqYEM2cFVuqHPdoLdiauIQw9xj5t+W/2UGbD5IZLMaXB3AXWmpoHSOFwRdT48NdmBda3FTaKTk+yppnvEjSInjYePYtTATYJk0DY+k03Kei0V+p8LWa0sgG2yrqV5cwalWc2sTuxV8LLG/WnI4prGNewtcARwKimAMnyN2KQx9tOKHREyXG1SLWd5Scn4q9hnpgI6xo2jQSdRVBg2LPp3mjrMzWg2IO1hW1qWua8H0d/Us7yiwU1TfDKUWqWC5A9Md61/1DzqKSoqmQssc50eNluKtWYZFAcolkIA3uVJyRxYFwpp3EE6MJ3HgtDMP8SddyAjw+PODdxI4m90+6EtGhvcpI3hr2m/ooMzLdI7B/Du5TTESaZ0Wcb2rqLEHx3Ata17KFikzRWTtBFnRX+pXFPIx0cRd5zm2P1TTFjBTQTRyuLG5pb5jxSUVOyMSsa0ND4yCPclp5Im0wNw0h1tqsAIGvDWkZnXGinkYzTsKi4u+KbfhsV9rle18UUAZY2zX3qiqJw/MWPtlAv8VrUwn9NiBF5HbdLKcKEmxE8g0FhmtuTDBnpGOz7XEKYy5Yw84L5QFNXEbmpow607yRs33UmJ+eMO3706aQua03vddTU3gpDRscLq8azyhpCELo5kSISIYVIUFIgE3P+BJ7J+y7Tc/4Ensn7INFS/lIfYb9k8maX8pD7Dfsnll0CEIQIsViEWeASgf8dzfjqtqdAs5DT+E0ELONS0ns1UrfC4rZJJopC1ji1rdAOxSqesqHaF5+KtH4fGSfOUWSljjO147Fi2LIdppS4PMpzCwAuu3vjs8i2lrhMxwxlrPK5Rn9Peo9aCxrwyUAl3es+2txL5yL9Nq6a+G/SaGlUjJJYzo9pKUzzn0mlTxq+UaGGWmYcxt8U5JNTSN6JsVmudlHC6G1Ewdq36plS5V02B8soDZLN2nsWO5RVr6+uFJT3cxrsrQPSPFXdZXOpsOeS7LnaSeIH91U8maR1VX+EvFzfTq4n+Fvj62s32v8Iw5uHUTIGgGQ9KR3EqwdEX65k1XVTI5DHGBZu3uUTw+x2rFtakSX0r+K4FK+9y49i4Fdm1Smua3am1fE6Kd+4klcupJnHTN7imxiAOxDq47iU8k8UmGnmjdtddWEdTkGV9yVTNxJzLkOXcdY6Z4sLrU5HjGhBuLhCisqC2MWjc51tgGxMTzVLx0TzbeIW9csRsYFyQFWUMBMwzN3rrEcSjF2S10TdLEN1JUKCtw/MAa1h7TZZajXyRtGSzQLKQNgVW2thdE1sUsbjb0Xtd9ly3EaiI9OMPYN+wqcb8LFs4XC4IDTomYa6GcdE2d6p2pwu1W/rJZPwyFEjbZSXuGQpluxTkvE7EAXC6ecQAeKjNflcEskl3aKQpqQXJvsK4axrbgi/BOHVc7l0YlYrlJhxw6tbiNM20UjvKAei7j71c0eJGuo2SB3lI9HfuHFWFZBHVQSU8wvHIMpWNw50uE4pJRzamM/M3/eqntppjO6203SOnNpXX3afVPMoo5AHZnWI47Uhw9ul5Db0utM01U1ry6pe/8A5dvfZRo5XsfGCdBp2K6fhYftkOp6XYu4eTwnjLhMQ7nB2Ze/VMNVkcskzo4xvcSnsPrJHVYJd5zt/WpFRhM9PMRA4OF7C5sbJ6lwGdjYpc7Q7PdzeAUw1Qz1k8gYHvccqjAvN7k6lWPgc1/wHFdvwysbHn8Eky7b6JhpsTObRRsG4kqxhrC2miaCB0b7NVChoquVnQppHNGmgSSvfSuEcrTE4N81zdUFr/VSWhhcdPcn3VorMthbINVlZ6zpk5rq2wNxkp5JHG93WCvGJyvSzSISLbmEiCkQCQpSkQIm5/wJPZP2Tm9Nz/gSeyfsqNHS/lIfYb9k8maX8pD7Dfsnlh0CEIQcSG0bjwBVZg7L0rSfRff6FWNQbU8h/afsoOF9Chd1EqVqelhladyjVMTbXCQTkb06zym1Yva8errOY5I6JtNlA9I6+5VMlVI4a2urvlDSvnqomRWAYzW/WSqp+Gzft+Knp0nje3MbZXxh92WKCZm7Qw+9TIYHsgawjUda5NNI47h71Na8eKJz0jfRb8U/RF1VVRwluUE3c6+wDUldigmd6vxT0dO6joaiSSwe8Bg12A7VYlnGRRcoKk1VWyCIWDyDbgNjQtPhVOzC8G8IA6TmhrL/AH/lZfBqV2K4rJN6IcNeAOg+i1WNuc+SOniaebiGwcVrlnpz4xVuftLnbU1YE6OXMsUpOjHEdiciheG3LTqsOnjHQvuKUuI2i67bE4bipEcY3hDxRM44WXWZpbckBTeYa8gECyfnpYrNjia0kqM3pX0dK+slyRkdttivqanpqCMm4JA6T3aD+wVfBUx4eJDmbHFGCXvOxxWSxfG6zHKptHRMfzbnWbG3a/rP+9FuRirzF+WkUGaKgaJXDTO4WaOwb1nS7HeUD7tE0rDxOVg/haTBeSlJRFr68Nqqo6836DO8rTtpo4o/NFwFdz0jzh3JXEG9GaWNvU3pLuHklPIQDWtZ2s7itZXTCNNUVUyV+UkXUvKrGaquR+J04zU1RBUj9jrH6qHDiuKYVIGz84B6sou0+9eh2YTYAXTFRQwztLZYmPadoI2pOerZipwzH6SvDWPtBNuB2HsKvoZiNH6jisZjXJfmL1GF5iBq6A6kdh3pcA5QO6NLWO0GjXHa3qKufiNs6S+xdhtmAqHG4mynObaELNqzo0TquL+UQNXaJcvTurGeToFJdB2LkldXNGrbtZzjd21Z7lPTEwwYpCOnEQ19uG4/74rUOGZpBGhUZ9C19JLTyC8UjSNVlqGMFqG1OGsttZs9k7PsR7lMKzfJiV8EklJJ58MhjI7Tp/1D6rSO29SsTk5urDD/AMN3aq9T8O/Df2qpDdZlZIXPuB1b1Nic10TSzzSNFErHETMyecBp1X3qRAMuZv8Am+Ky0qXece1W7Gh9OGnYW2VQ/wDEcP3FXEH4LPZC0kJTwiCPLe53lYblvOYcZaBpeFp+pW+VFjdBS1VW19RAyR2QC7hfS5UxfTzkzukeA0klxsAtxhlOaWgiicOla7u0oiw2igkEkVNE1w2EN2KVdWRm3QkQUhKrISISIFSXQkVC3Tc58hJ7J+y6um5/wJPZP2QaWl/KQ+w37J5M0v5WH2G/ZPLDoEIQgYrTlo5j+wqFSOthxPrEqViJtQTH9qrJZuYwqLcXOKzWp6Oh6lQ1bGjpLPmucAoNTjT4nWaAUw1rTzFRK8k9I2DT7kzUx0rW+dqq/Dal08LJToXtvp2BSZhduqxfbUlxCfLE0nKkE7BrY/BdmJt9iOatuPwTo7SaV0clvJuN1Vcqp/B8Ps0Zc98v271OExhyiM9Im2xZ/lfOZKpkJPmHL8P7lWSaltXHJCjMeGNktrK4uv1DT+Fcup84z21cd6Ywh7abBYgdoaGhJW1wZzcZ0s24Uvtqdh1NMdjAR2hc+DSRtzSMs0cDdRTiJuLaHtUl1a2eJuU2dwCy6eJjn6fc5cmqgG9cPpmucTsuoVTE2MgAbVuSOVtTjWRbtU3JWOY6NsbbGTYTw4qvaLuA4qVWVYlpvwxG2MZW67ra/RXxiaouUWIunkbTx3ycBvV3yew1mGU3Olt6yTzn+oPVCpOT9N/UcWdUyDosOYDr3D/fBXHKWqqKdopKFhJI8rIDqOoJfyEWX9bw+hkdzszTIPRvs7VGn5YwyBzY5GgftYSQsPLFI0EvjcD1hLhoaJJ8/wCkbXSSRPa2rMXgmf573G+8JunxOnjOZznCx2gKlDbzjXepM1M6NtQwjWN4v8SFRqaflRCHC8ma3rN1VnFyko5PxCGdY2Lzln4g1V/SiK0ZLRs1UyLrbxTRVEYfE9r2nY5puspyowjm5PD6ZmV22Ro2HrXWFsxKTFi7D2gQ38oHGzSFpquPOHwygaJ6FNydxPwilbG89IDo3+y0MdY00+V51H1WIo6d2H47JQjRsnSh7dre5aQ2kpw9p0cLhLIRNbVND134Ux2wqlLnXtddRvIPnJiLtsuZd5mWI0uqsPPMF7XWIcPhdWvMtJuAtRmuAdbWQ/PdoaNL6nqTgZlOhXckWls1iNQQpVjG4iTQ8qXOAs2qj/6rafUK8dI6aNkrHZQ5gcFT8sGFvgdSNsby0n4EfYqyontkwuM+o9zfde4+lk+K5dLUjYQU5DU4gNGEAJqSRrHWKdhnZoL6p2h1xrntL3WvxugYjXMeOi3UWTxeCyyZcPNPApA5fM652lXNP+AzsVINCrqlN6dh6ltmHlV4p+M32VaKsxXz4z1FIX0gkrklCRVkqRIi6IEhQkJVAi6EiATc/wCBJ7J+y7Tc/wCBJ7J+yDT0n5SH2B9k8oNFLamiB9QfZTQbi6w2VCEIqFi5y4dL7vuFQ4rIRh9I0fud9ld44bYa/wBpv3VBiTw50EZ2MjF/fqs104zYr2kvUOponveSHN95Ul1G7dUHXiU07D3k6S37LIw0GBMHkYD5zIxf4BXcsAI1CzNBP4HM55dbJGAT8FYxY3HUPEbZgSdwCma3tjnn4WyEZcxC6NfTt2xn5VXmJzsQqRHezXm1uF0kjZmna5c+Ud+OYmieGqraRsLR+L0tN21ZTGnc9jZG0F5+rlpsJe2OtYJfOLrgnsKzM0UkmMGXm3GMPBvbS2a668ZkcOf/AKaqSQQ4fS3uA/pKLilQ11BA5upEhF/cncRlifRUbI3AuYyzgN2xVdXmeWMDgIYxoCd+8qZNTTYkcpuGyNvIZLC1rKCZImDpSMHvSNqKZhNp3OJ0ysaTdSxZaunVEO96hVUrHOGQ3Va+qhGxkjvaNl3A98o6AZGOskqyFupsRFyeAUTHZOboSGnVwDQO09ylQR7c8xsPVaAq/Hgwz00MRcQXN1JvrqrPbK45IUrY6WKR2nOPJ17bD7LnEDGx0j77XG3xS4dmdh9HCw2JLLfXvUfG3xmpkZGAI2GwHFS9rqFNWAM6A14qoqqsuJ0F1LnGRuurzt6upVFQ6xVxCtcXvBNhruWmNPFJXYgyQXDmZh29Ej7rIxPtIDfetW+T/HTPH/EpA7/8bT/CUVVJUmnkIDW8CCLq1ZUMLQ4N03hUso/xEgG5xH1UmneRodyDccmWtLZJG7CAodXiDm8pZ4CPJOAaDwICc5M1QMTo2uDSdx4qulk57EJJn6OMhPZqsxcNcpgI/A66PSWN+3qGo/lWLahvlms80P07DqPoVA5QtD8PAO0E/YpjD5ucpZHX9GP45QFfgmNde+uwkJS6y7oaY1JflubHcLqW7CZiLhrvgmhiIl0bm30Kehx8uaBzTdNNu1NQU0pnMTdttbqkaTBWPhdo5jrFWVLGnZi5eQDEBf8AcpvhV3624LORzNbY6aaqWXl0jS0nK7UImGuVjM+HO/a8Efb+VEwSp/8AKZWk7HNd9LK05VxZKF7DvLSPiFn8CifNhVc5vmxxAn3H+yRasZpg4tN0tPJedgB1LgouHUU1c5/M2OQXNyArSlwidlQxznRjK4HV4VRZiFzRsUasc6FgdberWV4FwqrGLupXFp80i6IUHQHqV3RG9KzsVEwgsb2D7K8oDelatJElVmLjpRHqP8KzVZi//C9/8KFVyQoukutMhIlukJRBdIi6QqgQkugoBcTHyEnsn7Lopuc+Qk9kqKu6X8vF7A+ylRvIWcixaVsEYHNNs0bTfcuX40/0qprfZasbG/Gta110t1ipMbjHnVcruw2UWTHaa3pvPW8lNWRqsfmYKDK1zSS8aXWXeZ5ZC4sJumjjD3AGCiJ68hKVtbi8v4VM5o7AFm9unHp2aKeV1xEHDrC6GETO1dFE0dbk/TYXjtfHnM8cTL73G/0UpnJCofrUYm48QxneUkrNxFdSx5XB88bQRbzk1C3D6Nxc2qbmta4F1WmhjFdPC+WRwjcWgk22FTqegoxmvE12lruN9VcNSGYzR00kjoZpS551Lbark4s6c3jop5jxN1UDEpIXu5mOJrcxy9AbE+OUFYLfh/BMPJKfW1fhEUHgLI3y+Zn3qvmxaqklLDkYQNw6042smra6lqJLXidYWUCRtq+Ufsdb3apkTVpNFKGtL6t5LmhxsLKBUR5X6vc5vWVLlkL6eBw2Wso9cA0Q2ddxF3Dghptk7KZ4fzLZANxSwVXhAfNzYbZxA43KZNiu4SAxzANb3QdOdrqu4qjm9Ey4HMuS03QWIqyY32O4H6hRayU+GUr3eaHMdrwuuY27QdhFk3XRF1JG/gCD8UGow6N0Mo/+mLxbiRma362UCoYHVUhJzMiBeTxt3n7rmgrnVGSVjgHvY0m+zOLA/UNPvSvhqubmaxsMxeA28cmo1B2e5QVE7nWc4m5Kp5A+eobGza42Cu61kzI3MkppWPtpdqqaY5KphmGU2LbkdSsCGBkTb5TJrtO9aCJzXz0hvlbJSZf+l7f4VYGiV2nmjaldWOzGOmaHZBtOwIGpjI2tkfkdzbiCXW01AUpmjgo7cQnjsZo2uYdqnFjJ4xLBoDuSql4XUeD1rQTZrtEtVMRXTt3h331/lQ2Z+eaQxxItsClupZanEDNbLG617nXTaiHcdkAprE7Iy73m4/kKDhriKOTrLQm8bqhIS0bHOsPZH+wimJjpWNO+7j70+C1osUkomOyOsSU87lJU2sJFRPLiE0QUyGrd2IS1Inbe739K6qWzE1BJNzfanqdrg4EGyhRDNJfrVhU+pqpI5Iw3VpCvaPEYG0nNSR3lGx3BUTCHOYHC9jourOD7a3uphq4xiv8AC6R+c3cXtA7LqjwuqdBQVjASGyRWPxUmvc1kTLHpXJI4WCq6a4oZDxAA+KsRIgrXQ7HEXUymxaTnmWedo3qme0utYLulYROw8HBUehTTTE9AAjrUOunJpZWEam33CkiUHYq/F5MsGYbyAiJdO7NEy8tOOiNHOsfurOlrRHaO8RbfUhyzNPHJKGnKC32QrWmpfWAHuUGlc8NaXblV4lJzjY7i21SHyf4RgBuTYKNiAtGw9aogbEiVIVpgJEq5KAKRKkRCIQkQBTc34EnslOJub8CT2T9kEal5JzSQsdNXkAtBs1qnxckKIW52aeT/ADWV3S/lYvYH2TwWWtqrh5M4TFb/AAjXkb3klT4cPo4PwqWFnYwKQlujOq/FwBBE0C3T3dirmjYrHFz0Yh1lQ4Wa5ne5Y5Ta9HDlnFaYT+T19Y/dTVCwr8k3rc4/UqatudefVULmYjUv4yOP1XE0U8keWPzjt1spNXDOcQq9L9Nxb8UkbJ2TOZVxWOlrNWdVWPwuoMIa2O7g7YDuTRwqqGpid8FOn8Ns59NmILrDoqO6LEXOcXsF99ynkuEgikpHN5xpvfNZc1vNxY6x7ujE6S2u5p0/lOuiqI2N55tnEnTqTGMMMlLDNbUDKe0IJFPEX0WUa5X6Eb1FxAEVrxs2W+CuqKZr3lzGAMkDZQALWBGo+IKddTU8rnPmga9wFtU0ZfVPUYLqgcMpv8FeGGgBs6hIHG/91FqHQRu/wsIYN5F9URGbTlxXFQ1sTwOpPsfI7YDdR6uOWZ4OUiwsg5a8Ap11nwFhGjtR/KicxIDdPwtdbI73IIFLPJQVWU+be461dTh7wKullOV+rm8CoFdR8/H0R027FGw7En0UpjmF2Xs5pSqmuxCa/lelbrsuHVbZeiW6nYHNBUmejbOzwijIkYdS0bQqqpjzaOuC34hSKecXNppSdCNgCg08zmHNF0XW2qwaTNA3Obm1ieKgSUskTwSehucBdVCQSuALXEkX2FT8MkIp3Mdplfp71XRxudcWObcrCGJ0cYjaC57tABqSipL6uTNki3p4SvpaR0s7vKyCwB9Ef3XEcLKBvPVLhzo1ay/m9vWqiqqZa6oysublEdQ5q2rzG+VqsHLimgFPGGDbtJ6067UahBwHCyS4TMjX30GiWNj76oiawf4aWxAvYHsVbGLONuKs6VuaN8btjxZOHD6WLzp3jtAVEFh1U9jHPqGE79SiOjhcbxzFwCmNAvoNdgQVeMuDGPAHonXt071HijthbNNXv+gSYxLmlyje+3uH9z9FZCIRwRx281qCqAy7UrHWeO1S54g5wsFzFBaRptcA3QWTMSs0Akrmpq/CaZ9txH3XDoWyiwbYpWRGCJ7XDziPomouMIDzSxdHTj71aOLuFlGww3o4gBsB+6lSFAufyUYvscisdeJnamXO1Z2ldVBvGO1X6VFQUJLrTBCUiLpCUAkJSEpLoFJSXSXSXQLdcTnyMnsn7Jb6ric+Qk9koNJTflovYH2Tyj035aL2B9k9dZHYSgpu6XMiYi4k0OMV911FBUiuPSaoyNxYYe7LSsHb9ypoN1XUxywMHUpUcl2qDMSSysxCdzqWUAvfZwFwdVXyT18lQZJKSRxtbZrZX0xJlN9mYpW7CeJUxtTWqwGj+m1dm7LDZ9FyW1gJPgNZtvqzf8FtA6yQvU8Ym1ip21UuS9HUAi97sKano5pqOVhhe0gXF221W3LkzK0OaRxVzDWBwasysZG/axxZ7jqPr91oTmaPNOxZvGqf+nY05zRlin6Q6jv+BWvw6obXUsU9hdwyvHBwTFVMwdqCHW7FHEAdudpxC1Qa0HYNVy5jXWuFFnHVRRULTFfLrxKaraTLawWopqduS9lDxGBtjZZ0xluYu7YuHxtDrKzdHlvoocrLuuqOImX1smcRwMV0fOR9Gbcdx7Vc4ZEHnVt1O8Cc2QczqNuXuU0x50HV+D1FpGvid17Hd6njFqOtaBW04D/XYt5URUlTCYqiFrxls5kgWIxDk/T887wV7oxwOoWpd9obZDQ3zQVtm+q+x7l0IYm6eGMI9n+6rZsHqojo5rh2psYbWG2jRf8ActC1DqCPWSoL+pgA701NjrIQW0cQZuzHaokWDVDz5SVjB1aq7wzAqGN7XSgzu/fs+CdCjgpq3FZC8Xyb5HbFa0+Hso2ZWi7jtcd60TWtHQjYCBoANAFGrYg3XepRWiEBdCC6Uh27YnqQZpAHIG/Bgl8FG4K6jp4iNWi678Hj9UK4mqVtNltonebFrHVWvMM4JTBHbzQphqqEYGwIkywwPlcNgNlYmFg3Km5Q1TIYI4m2zeef4Hx+yuGqenhNbjLY9oi849Y1P1V89jSExyTpMkD6iRt3y7L8Femmg/RZ8oVxNUhiaV2IWjYHfBW5poN8MfyoZSU+cWhjH+UJhqqAa3XUIcGyAmzr9SuvBKdzTeGM6+qkdTU/NuIiZcC17aqYumqKXm4GtBOiddVE71BrJGwVJYxoAAGgTPhN1UWkcmcg8F3K67OxRaN2fVSKjRt0DJKQlcZkmZaYdXSErguSFyDolJdcFyTMg6vqlum8yW6Dq6bmPkX+yV2m5/wX+yUGjpnf4aL2B9k7mUSnf/h4vYH2Umns5+Y7Gi6ypDKGmxKTwhg3qDPKTKdLcUzz1ypq4nVDw9wINxZMAgg2INtq6bmfE1wFxxXLacwyvawl7TY3ITYuJEZswDqTgkIG1NNaeBXWWwOh+CaYjPjMgLQba7UpaGDKNgsElPURzRyPa62Wwudl1w6oYX5Sdb2PC+inkuVaZtEhcVEbVsIvffY9X+7JW1TXAkX0+3FXYmJN1w4rgyi527L9oXPPNNhfbsTRT8p8M8Pw97o23li6beviPh9lTclcT5mp8HlNmS2Gu52747FrzK31gsNykoDh1eKmIWgmO7cd4RW9KRVPJ3FRiFIGPd5eMWd+4birdoubKNSrCmHkWqFiA2qwhFogFBr2nVY5QntSyjaFXy3BVhKDqoZbmIurCrDBRcnW6vYmeV7AqjCY8jj1q8iHSPYpZ2b0hVrGkOzNBWdqIg599LrU1DMzZOxZt7CJDfikKqqiK56V/cmubAA26KdVM6SZLbBaQ0xm5WVNGwAX1UIBPteQ1USp6kR6Msok8rptqZkcS6655ywQGVy7ia5hzA6psSC+pTjJWg7VNDxrqmPQAELn+qVBt0B7glbO07QCnBPGPRF1dTHDa6qe7Rth2KQ2eYt1GqBUNI80JHTtaNAmrjmeofFA+R5sGi6yc0k2LYmGXN3u16h/7KdygxYSRilitlabuI3nh7k9yeovB4PCZW3kk1sdzVpFsznIGtjgcGsa0CyHTVg2St94T3huvmNXZqnEaCP4KGKyWsr2OIzXtwCdpa2sLvKXtxUh1Sc2oj+CcZUkDpc1b2U1AKyTZmOq4dLVNa90ZIB2gp+bFWwx9GOJx6mpqPEmzhzTGzRFV0s8slW4TecWhNc7Y7EuLVsbK4XAaco80dZTLKqGU7dexVF7hRJicf3AKZVHyRTGFgeABw3uvdPVn4BKCEXLnNYri6S60y7Lkl1xmSXQdly5uuboQdAroGybugFEPtK5n/Bf7JSNKSY+Rf7JRVtA/wDw8fsj7KdTyCOlnlO4WVTA/wAhH7I+y6rqsU+GWvYySW+iy1Dbqi7nEk/BRudu4np26gq91Vt1GvWuDVAakg/5ioNHRzSugDIybEHQpsVspkcGuvuVdRVr2sGXYGm3xUekrpIJC/KDrs991itLY4nK0uFvNXJxGd129V1UzYiXPm6A6R2cEDEHZwQB5oCKvaaIsweU+k6QBQo3PEkYy6OkAPxCWLE3HDSBYnnL/RQ48RfkjdbXOPis3VSoamRtM85b6gX+OqsIpbOkYQNGD7juVQKsNimZYZW2UiKoLpjcjpMF/isLkXQnD7mwuYrf9I70w+FrpYnAkWb/ACUxE53R62j7BSWufZpt1LpGekKOEc/o8k7bJ+roosQo308w6Lha+8HcU89zY2t6LQSfeuqeQSPcB6O1biV56RVYBiYGazmG7XbnBb7CsRgxGmbNEbHY5u9p4KLjuERYlRlnmyN1Y/h/ZYuirKzAcRLXNLXtNnsOx4/3vVR63EbxhRa0dAlM4NidPiNLz1O+7fSYfOYetPVvmrHJYo5dpXMUYO0XSzHpFd0jS5hPBWFSYHCEXsp0FfHmsdLhVktw1Nx3z3Uvsi4dVNyuNrgqokAkeSBopkXSpXWBtfaFGBbmNlIqorJmseQWkpuC9S4BotdOYnkY5zifglwqWIPDr7DvWviO56Y03nhRg7bYK0xR7ZSMpFiLqrHN7329ycbpZhiRztVFdIb7VZtY2Wwvt3oGGNe462Wk1VOkNlwZHcVdswZp9JdnBobecUw1RNklOx1k/G6QHXVWZw1jNGEntS+BBu3amGo8Dy7Q7BtUTFsRZBBzcTvKO2keiE9i9VFQwc01wM52t9UdaosOoJsXqt4iaem9MBhdC+tn514JjB0HErVtaxjQCdidp6GKniDGaAaBdOp40vZpi0B/4mVRpmS38nIC1THU0dvNSc1l8029yJqok8IDjd4HBc85N+oFZyU2fa76Ip8MZNMGGQgHqQ1XxiZxsAHE8E8L08Tswy5+KtH4PHDlPPusTbYEgwhk02R07uiL7AhqndFHUHO/IXDS7iAljo2tcMoZrwcFOrsIpopgHAvNtt7KRhWG0ucuMVywgjUqmralg5qhiitYhuvao1a7yLgVYX0UPEImuhdJrmaOOiCoui6S6S6rJboKS6LqhUJEAoFSpEoQdBJKfIv9kpVxL+C/2SgmwO8hH7I+yruUMuWihHCS/wBFNgd5GP2R9lBx2B1RhzywXdH0gPupI0ovCRxXJqr+kVW84Umc8VLKrWYc4ZY+kTmao7wWvcHPsnMHeJaWFwtnay3wK4eGmRxe67tpWPqmzEwgnnNSlEIMgDX33BcGRrS4BSsLc1+J07RbVwKqHoWObSSsbrqovMyNY0XOjsy0T4oGsexrCzMQXEHapEMUbww5ALXsmGsqWSXmBB6Sk05ka5r7ejYrTupIS1zSwEE3IUcUPh9dzTG5Ymayu49SzeK6jYfzsjbBpNt6s2xzOblY25G5WD+ZoKcNazTY1jRqVxTxuqGc87yPBrP5KklNUNZ4Ux5D4zmt0RvurKmhEELY73O0nid6k1cTZmgB7iW7HFVbnSMkdmJDxt6+tb9J7WCpscwWDEYDfoyN8x4Gre3iFYQVAldl3/dSLAFaR5tBUYhyexEG5ikG/a17f5C2uG8pKXFIchtDUb4ydD7JU/EsGpq+jLXxtc065TpY8WncV59iuBVeFyGSLNJADo4DpN7Qs9VWxnOpsnaN4DSCsdQ8opGtEdT5Qetv/utThVRFVQZ4pGP4tB1HuTBLqz5LQrh8zYIiduVgJ96d5rnTYH3FNVdI5zntBAa4AahS+xZYVrhRJ3ucfqqCvc6MuLSQpE+JVWEUUcTYopA69jc3VFJiVRW5mtgYOJuqI1TUudGWk37UzT1TgwsBtrdMVrpaeQxyxkO29qjxTOMtmsJJOgCovI5nyMs57j2ldOd0D2KDG+qY13kWnKLmzlJomy1kbnDKyxtqmDqgkdz+UnokLQU+lr8FSwUT4ahpLw6+4K4aToNgCqJBcFw436gm+cBNm9I9ShV2J01GD4RJd+6Nmp/siYnZtzfiqLFMdigDo6V4fJsMg2DsVRiOO1NceZiBjiOgjZv7eKfwzAHyuEtbdrdoj3ntRUfDsNqMXmMjyWwA3c87/wC62FNDFSQNhhYGsbw3pI2NiY2ONoa0aABPRkXcC2+66DnUjQFc2cSpbLZSdx013qO8ue882LMG1NMcFthqVxlvvTrZWg5S3PbaBtCmRSRPis1gI61NMVbtCnqI/wCKYn5qdhiJaCCFXw1LIJ43OBte3Yrpi2rSAwX+CjYefL3Gg2WTNTiMU0d7EZXZT3pYJmRSB/o3Qd4tpUM9lOYRqZOxR5qhlc8SNBAbonaOQUxcbF2ZExZOlYyRsbj0nbFHxF1qOUnc26hVlW0ytlAddtrJyqrWT072ZSA5qi4qTUMtv+C6a9r/ADSuHMjtokjaA8FvvV0w9ZC6AS2VZcosukKhEqWyAgEkv4L/AGSlBCSU+Rf7JQSYG+Rj9kfZOZb6Ig1gj9kfZPNHELKoX9MonEl1JCSf2BAwegP/AKOL5VYtAG5OAjcrohQ4dTRC0cDGDgBZdf02jJJMDblTAQuhlUED+kUJH5Zn1TkGGUcErZY4A17NQbnRTNFzI4BhKBtzWn0Qu4gAQBpZMh6cjdqgfcdLDforGhiEcGg1cSSqieUxx843a0gqfSVn/l+cDMY2AnrUU/NLHJ0GEZ3HLfeBvXUxEbGxt0HDqWdp614q2S3uy91btrY6rpMNrBUdqFiLQAyUDflPYf7qXnHFRa5wMIHXf4KUivgcGTi1tDpdWhdvCz2dxnIB36K8aegL8EhUp01qdovuUSd+aK5APaE295cwdi4kJ5myis7ieA0lUXSwHweU629EqglosSwx3O5HtDdkkZ0+IWxmByFS6SJj6Rtxqd4VRl8P5XVMLmiqY2oYN56LvitJScqcKqoXCSV0DzsbI3T4hQ6vk/R1JJdC259KPoO7iqqo5HTAZqOpDiToyQWPxUuK2MlNTV8bSwsmDdQY5LqjrqVkRyxgMA3bFmpcBx2iJd4HNp6Uev2UWSvxGPozSTgjdJf+VcF7VvdJFzcrA/LsuNigNY9lxHGW32kBVbsSnd5zr+5c+GvGwoNJh0LxIC4HVXEVII2ksbYHU6LDR4lURODo5C0jZYJx1ZidVpnqZAd2pCqNi+op6Zx5yaNh63KvqeUNHFfmw6d3yhZ+LCcQncBzWS+95sp9PybcT5eUnqYLfUoGKzlDWVF2ROELD6Me347U3SYRV1rg6TyTDvdtPuWjpMKp6UDJG1p4jU/FTWhrPNFlTUSgwenoY3SMaHSNGrnbfcpzY36EgC+qVusb78E6D0BbgshxjhGWuc1rra2Ot0oLJnGwygalR5HaBcMmyX6xZFSnlrGOdw2KNSTc3UDNq1xsVJYwTU7+ORxHuVfsIKRKtZ6Rj5RIw2cFW0s7vDpuAen21by8HcFAgnHhVSR6ZuFRfSEPj2arM1hLahwA2uurJ1S9re1Vla53PMc7QOGiiuObLmnrKmSk+DADQg6qA6Z7WOA3HRLLNMyO+y6gkUwexjsvFdOnka8tJ1UJlXNG0i/nBcS1EkkmYnUhBOEmeQNcdui6fI4WaT1KAwSvqoyDtIT9VmbN2XCB1uUuDbqZh0DJazI5wDTvKpS5411XIqXxuzC4siruRmSR7PVcR8CkTdO/nYWyetqnVtzIhKkKoEiVIUQJJj5J/slBK5l/Bf7JRVpT6QR+yPsnbLBs5X4ixoaGU9gLeYe9L444l6lP8h71lpvAUXssH444l6lP8h70eOOJfp03yHvRG8DkpcsJ454n+nTfIe9Hjnif6dN8h70G8BSSu8mVhPHPE/06b5D3rl3LHEnCxjpvkPeg2wK7a7VYTxtxH1Kf5D3pRyuxEehT/Ie9Fb64cLGxHAqsjqZYp5Y23a1pIy33bllfHHEvUp/kPem3cq68zCXm6fMBbzDqPipYRrqZ2V+U+Ze7TwUp8c1LUGoja0wv1yt3LDy8qa6Q35qmYf2sOv1QzlXicbcrHRgcLHvTtXobKuJ7M2bLxB0USvquhkaekRv3LDs5VV7ZM5jp3EbMzD3pH8qK+S+ZkBvt6J1+qI11FCXyZz5o1vxVrmuNFgG8rsQY0NbFTADdkPeuvHLEv06b5D3qjdsBLFzIOgsQ3lribWZRHTW9g965dyyxJ3oU3yHvUxWrn8wqXRn/AAzVg3cqa9wsWQfKe9dx8rsRjYGtZT2HFh71Ub4nUIlu6Jttl1g/HHEr+ZT/ACHvXbeWmJtAHN0xsQdWHd71LFei0D35pWl7rBmgvsVBiRDpn3sdd4us4zlzirC4tipeloege9QpuU1dM4uc2G54NPepILStjiIuImA9TVBiii280z4KA/Gal+0R/A96b/qc43M+C0jR4fFH4QwZWgHgFd1A5pjAy4BPFYaHGqqF4e1sdxxB71Kk5U18gAcyDQ30ae9BfxPPhZuDtIU8O6R9yx3jJWZs3NwA2tcNPelHKauHoQ/Ke9BsblJfVZDxnrvUg+U96PGeu9SD5T3ojZsPQcnCQGrEjlTXgWDIPlPeuTynrzuiHY096iti911Hlks09HRZTxjruEXynvXLuUFY4WLYvlPeitnh1fzMwDhcDVp48R8EmIjmpG8wC+KTVjhw4HrWKbjlW06CP4HvT7OU9exmUNh7cp71Ua5jJBCQRZ7hpfYFFjApiAXh77C9tyzUnKXEJBZxjtwAPemxj1WPRi+U96DXmcFpe4EtG0gbExiJ5+ovE2zGkBvYFnn8qa50DIRFTtY05iGsPSPE6rkcpa0G+SA/5T3qC/bC9znDLfMVxWF9o2WOl1SO5T1zvQgHY096R3KWucAC2AgbOie9MFrI12RnROwpsNdcHKVXeM1bYDJBp+w96Qcpa4bGQfIe9BbRiQSB2V1gUPe95eXA21VZ404jYC0On7P7puXlJXysc13NWcLGzFQ8Kqw84Jp01wdbqr55/FK2d7SDobcVJFbyhaWUUIPqBPrIjlNXAABkFh+096PGeu9SD5T3rWs41qQlZLxmrvUh+U96TxlrvUh+U96amNZdF1k/GSt9SH5T3o8ZK31IflPemmNWuZT5J/slZbxkrfUh+U96R3KKtc0tLYbEW8096auKhCEKKEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQgEIQg//Z\n" }, "metadata": {}, "execution_count": 82 } ] }, { "cell_type": "markdown", "metadata": { "id": "F0mpBGaeJYw4" }, "source": [ "### True mass flowmeters [(Lessons in Industrial Instrumentation, Section 22.7)](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii.pdf#page=1739)" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "faFL_GbMNWsO", "outputId": "d9b690b6-f2d0-4591-9f72-45d12615faa3" }, "source": [ "YouTubeVideo('YfQSf2NBGqc') # thermal" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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}, "metadata": {}, "execution_count": 64 } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "qYwh6_EyOvtm", "outputId": "8a4b71f3-d052-4a7a-85eb-a711b1dfe782" }, "source": [ "YouTubeVideo('XIIViaNITIw') # coriolis " ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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}, "metadata": {}, "execution_count": 49 } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "HE_ST-RdXAFH", "outputId": "22b7d945-c5eb-42d4-cdb7-eb0c165805fa" }, "source": [ "YouTubeVideo('Xvlf5fPiQaM') # coriolis" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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}, "metadata": {}, "execution_count": 67 } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "6ytEAWJTQSfj", "outputId": "e062abe0-ac7f-47c0-ca72-2326e586d93d" }, "source": [ "YouTubeVideo('QZ2iQ6K03kk') # coriolis" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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\n" }, "metadata": {}, "execution_count": 51 } ] }, { "cell_type": "markdown", "metadata": { "id": "1ZHBHCWDJqkt" }, "source": [ "### Weighfeeders [(Lessons in Industrial Instrumentation, Section 22.8)](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii.pdf#page=1761)" ] }, { "cell_type": "code", "metadata": { "id": "MSG5b1S-pKav", "outputId": "16fda9ec-1a16-49dc-f271-2a7252f8f874", "colab": { "base_uri": "https://localhost:8080/", "height": 322 } }, "source": [ "YouTubeVideo('YnkTi_FmKLI') # conveyor belt scale" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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\n" }, "metadata": {}, "execution_count": 84 } ] }, { "cell_type": "markdown", "metadata": { "id": "Sek_mboIJ9dt" }, "source": [ "### Insertion flowmeters [(Lessons in Industrial Instrumentation, Section 22.10)](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii.pdf#page=1767)" ] }, { "cell_type": "markdown", "metadata": { "id": "b4xqIZY6KTzE" }, "source": [ "## Discrete flow measurement " ] }, { "cell_type": "markdown", "metadata": { "id": "E6BcsjU3KV0-" }, "source": [ "### Flow switches [(Lessons in Industrial Instrumentation, Section 9.8)](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii.pdf#page=715)" ] }, { "cell_type": "markdown", "source": [ "## Pressure-based flowmeters sizing\n", "\n", "The function [`differential_pressure_meter_solver`](https://fluids.readthedocs.io/fluids.flow_meter.html?highlight=differential_pressure_meter_solver#fluids.flow_meter.differential_pressure_meter_solver) from the great Caleb Bell's [`fluids`](https://github.com/CalebBell/fluids) package can be used to calculate the bore size of a orifice plate.\n", "\n", "Using the [`scipy`](https://www.scipy.org/) package to converting this problem to SI units and the other great Caleb Bell's [`thermo`](https://github.com/CalebBell/thermo) package to obtain the necessary properties of the fluid, let's try to solve this [example](https://www.chemstations.com/content/documents/Technical_Articles/jeesizing.pdf#page=16)." ], "metadata": { "id": "fJM7MzZ1Cm-0" } }, { "cell_type": "code", "source": [ "try:\n", " import fluids\n", "except:\n", " !pip install fluids\n", "from fluids.flow_meter import differential_pressure_meter_solver, C_Reader_Harris_Gallagher\n", "\n", "try:\n", " import thermo\n", "except:\n", " !pip install thermo\n", "from thermo.chemical import Chemical\n", "from thermo import IAPWS95Gas\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from scipy.constants import *" ], "metadata": { "id": "7GwjpcaSVbHX" }, "execution_count": 37, "outputs": [] }, { "cell_type": "markdown", "source": [ "In this case, for water flowing through an orifice plate with \"flange\" taps, we have:" ], "metadata": { "id": "NkgYMcqqVb3E" } }, { "cell_type": "code", "source": [ "inH2O = 248.84\n", "m = 10000*lb/hour # lb/h to kg/s\n", "T = constants.convert_temperature(200, 'F', 'K') # oF to K\n", "P1 = 30*psi\n", "DP = 100*inH2O #in H2O to Pa\n", "P2 = P1 - DP\n", "D = 2.067*inch\n", "\n", "water = Chemical('water', T=T, P=P1)\n", "rho = water.rho\n", "mu = water.mu\n", "k = water.isentropic_exponent\n", "\n", "Do = differential_pressure_meter_solver(D=D, m=m, P1=P1, P2=P2, rho=rho, mu=mu, k=k, meter_type='ISO 5167 orifice', taps='flange')/inch\n", "\n", "print('Do = %.4f in' % Do) # ChemCad calculation gives Do = 0.7686 in" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "E80QJBaqJmeS", "outputId": "4b7f1f99-c35a-4619-e433-5a6464e6d04b" }, "execution_count": 89, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Do = 0.7806 in\n" ] } ] }, { "cell_type": "markdown", "source": [ "Another interesting thing we can do is to see how the flow coefficient varies with the pipe Reynolds number for different $\\\\beta$ values. Let's see how we can do this." ], "metadata": { "id": "DiHciybHNkdl" } }, { "cell_type": "code", "source": [ "#Calculating C\n", "C = [] #C values\n", "ReD = np.logspace(2,6) #Reynolds number values\n", "beta = np.linspace(0.2,0.8,7) #Beta ratio values\n", "for ReDi in ReD:\n", " for betai in beta:\n", " mi = ReDi*(np.pi*D**2/4)*mu/D #mass flowrate values\n", " C.append(C_Reader_Harris_Gallagher(D, D*betai, rho, mu, m=mi, taps='D')/(1 - betai**4)**0.5) #CD/sqrt(1-beta**4)\n", "\n", "C = np.reshape(C, (50,7))" ], "metadata": { "id": "yHkDVWaHeYxw" }, "execution_count": 62, "outputs": [] }, { "cell_type": "code", "source": [ "#Plotting\n", "fig, ax = plt.subplots()\n", "ax.plot(ReD, C, linewidth=2.0)\n", "plt.xscale('log')\n", "plt.xlabel('$Re_{D}$')\n", "plt.ylabel('$\\\\frac{C_{D}}{\\\\sqrt{1 - \\\\beta^4}}$')\n", "plt.ylim([0.55,0.85])\n", "plt.grid()\n", "plt.legend(['%.2f' % betai for betai in beta], loc=0, title='$\\\\beta$')\n", "plt.title('Flow coefficient vs. Reynolds number')\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 303 }, "id": "SBb0rRwGPpzF", "outputId": "30b0010b-7fd6-497e-a591-6bea87d09dac" }, "execution_count": 87, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "

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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": [ "As we can see from this graph, as the $\\beta$ ratio increases the meter rangeability decreases. Visually, the meter rangeability can be seen as the length of the flow coeficient flat region." ], "metadata": { "id": "f1YachvhfZj3" } }, { "cell_type": "markdown", "source": [ "Now, let's try to solve another [example](https://www.emerson.com/documents/automation/manual-rosemount-1495-orifice-plate-1496-orifice-flange-union-en-76098.pdf#page=71)." ], "metadata": { "id": "CqukyUQ_RKck" } }, { "cell_type": "code", "source": [ "D = 7.981*inch #in to m\n", "m = 8000*lb/hour # lb/h to kg/s\n", "P1 = 60*psi + 14.6960001\n", "DP = 29.117*inH2O #in H2O to Pa\n", "P2 = P1 - DP\n", "rho = 0.171328*lb/(foot**3) #lb/ft3 to kg/m3\n", "mu = 0.014093*1e-3 #cP to Pa s\n", "k = 1.317455\n", "\n", "Do = differential_pressure_meter_solver(D=D, m=m, P1=P1, P2=P2, rho=rho, mu=mu, k=k, meter_type='ISO 5167 orifice', taps='flange')/inch\n", "\n", "print('Do = %.4f in' % Do) # Emerson calculation gives Do = 4.000 in" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "0BpBG4BvRJxc", "outputId": "a10903e6-c4db-4144-9cda-61c406692d5f" }, "execution_count": 35, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Do = 4.0078 in\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "l5Zg-zChHBIr" }, "source": [ "## Exercises\n", "\n", "Try to solve the problems listed [here](https://doc.lagout.org/electronics/Fundamentals%20of%20Industrial%20Instrumentation%20and%20Process%20Control%20%5Bby%20William%20Dunn%5D.pdf) on page 116.\n", "\n", "Tip: Take a look [here](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii_2v32.pdf#page=87) to get some conversion factors." ] }, { "cell_type": "markdown", "metadata": { "id": "FDKGkdfcHBIt" }, "source": [ "\n", "< [Temperature measurement](http://nbviewer.jupyter.org/github/gmxavier/FAT0413156/blob/master/notebooks/05.00-Temperature.ipynb) | [Contents](toc.ipynb) | [Control and safety valves](http://nbviewer.jupyter.org/github/gmxavier/FAT0413156/blob/master/notebooks/07.00-Control-Safety-Valves.ipynb) >

\"Open

\"Download\"" ] } ] }