{ "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": "07.00-Control-Safety-Valves.ipynb", "provenance": [] } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "AgPPNXyKVux7" }, "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": "Bcx4ki6mVuyE" }, "source": [ "\n", "< [Flow measurement](http://nbviewer.jupyter.org/github/gmxavier/FAT0413156/blob/master/notebooks/06.00-Flow.ipynb) | [Contents](toc.ipynb) | [Analytical measurement](http://nbviewer.jupyter.org/github/gmxavier/FAT0413156/blob/master/notebooks/08.00-Analytical.ipynb) >

\"Open

\"Download\"" ] }, { "cell_type": "markdown", "metadata": { "id": "uzeClyosVuyF" }, "source": [ "# Control and safety valves" ] }, { "cell_type": "markdown", "metadata": { "id": "cky6MThFacmZ" }, "source": [ "## Control valves" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "atx5sjD-kpLu", "outputId": "c226f029-7213-48cf-8f02-5d80735125b3" }, "source": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo('DVd0TW7HffU') # globe" ], "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": 18 } ] }, { "cell_type": "markdown", "metadata": { "id": "jxXkVmMKWV9R" }, "source": [ "## Sliding-stem valves [(Kuphaldt, 2019, p. 2084)](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii_2v32.pdf#page=2111)" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "ovrlIel4XWms", "outputId": "af386a60-9940-4df1-e794-7be8b9d381d3" }, "source": [ "YouTubeVideo('8hfvHXhLvGY') # globe" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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}, "metadata": {}, "execution_count": 1 } ] }, { "cell_type": "code", "metadata": { "id": "BHOahpw21jeD", "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "outputId": "588e390b-bf89-4a09-f8ae-c21eb2381ae0" }, "source": [ "YouTubeVideo('C5ZMLWujKGs') # gate" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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4ViFrZRwizZoYml2ywRSvN2pXi0jHcSOGQO8ZrUaRYxy7p72Z4rcb2Z/f3FzMc4jgVjmVyxBZz4qj3xBIrEKkmuMlo9F26c17mZ04p7C139mvVY1NIQVIIpaCqvhnWPf6FpwRpLu9T0CmqK8Raai1SlweotMVaFFNUUAKKai0KtMRaA8VaYq1kopqLQGKrTFWslWmKtAYBazVKYFrMLQCwtc76wdakurh44ziKHEWVOWZ0wD6VGQw4cTXS1T0VXuknRGO6JkjcQzHix27o5DgDLrkEHA5jy8Qa4cdQlUinHmO3BV405PaOUaoGtUjkZCRI5XbxBIXGdxIyDxxx/8A3uujfSrTlKpd2ESI4+3DdOV7iXEhJI9K/IaZr3Q+7AAlgaREOVaAtIg4HJC4Lp8h5d1VPUtMCZVQ/DgoO0FeOSCpIxx/RVVCU6cs1Yu6fFVcpZp7mWDrd6KDsFv9LfNoAfdMcLb0C5+3x8yoGcMvdwPDBrk1smwhgx3Aghs8QRyINW/T9Zu7EuI3dY5fFkiLMI5VIPBgCOOO/gRnuqt38aK5MQIiY+KrHcyHvQnAyOePRw7qsFU2jqpYbio5O+58/edn6remCzARzMAxIR/RJyV/6LYx66uvSTUJrYwiOFpO1MmSIpZCOz7PkIwfw/0V8z6VftbyK6niOYz75TzH/feKvWr9ZDW628m+ZiNr5jkIyFIODlht4DBHorro1FpIqeEcC2+MprtR2WzvPrPaz/Wgqh33I0W1dgY5VznHHhyzwx6eH9ZPSd7yVgpKqQVRfg4e4eiR+ZP/AErbdKetV9Tso1VDFGG3FXZS80uPE3EcolHjYzxPqFc5VixLE7mJJJ7yTWtWd8kScH4Ti1tz15hMenhiAoJZiAqqCSSeAAA5kmu1dGtEsdCtVk1HbJeSjtBGQs0q+SKBG4KB3yEhc8M8BXMdFk7BhLgF18aMknEbd0hHIkdwPDyg1jf6hNOxb65K7nLSHLk92cnngcOPkxUSnbQ76mFVRJydlz9feWDpl0tFzk+5bWJQDtHZoZceVpiASeH3u0ce/nVX0yVbiLtCACJGjKg55AEMO8DB/NWxsei8t372zuZM/fEls+UnCbVHx1bOj3VZOBhtlohOSCRLJ8SIdo+M1JFSepz1atKFkmkkL6pbySO6EC5aKVJGYfB7ELB/QM4X/XFdXZahdHOjdtp6lYEJdgO0mfBkfHIEjgF/mjArZstdEI2RR4yuqs7x7CKy0thUl1pbLW5yEZ1pTCpLLilOtARiKW61JZaUwoCMwpZFSGFKdaAjsKWwqQwpRFAJYUphT2FLcUA2m2bosiNInaRrIjSR5xvQMC6Z7sqCM+mlUV7tq54lFsfXkV7i6luBd3s9vLbW6Qxyx21pHMpiJBnVSAkbOqRorDjksSTWj0TXLuy7T3JO8HbKEkKBcsqkleLKSpGTxXB4njxrX0VDGhBJq19NerTqyJJVpN30/fUymkZ2LOzO7HczuxZ2Y82ZmOWPpNNhvJEUoGBjMiSmN0SRO0QEK+yRSM4JB/CHA5HCkUVK0mrEd2XXoP0+lsrmaa7El0t1HGkmGUOvYljF2aHCBAHkGwbQN3DGMFXTbp1JfILe2iFlYrzgj2gynOcybAAEyc7BwzxOTjFPorn+DpbfGWz+mXVoT/FVNjYvl/OcKKKK6SA3H1XWOx9yQhg9xP297IQBvWLC21upB4xqQ0pyPfMMd9acUV6K1jBRvbnzNpScrX7DJCQQQSGBBBBwQRxBBHI+mpuo6nNc4Nw/ayKNomcDtmUchJKOM2McC+4jkDioVeisOKbuYUnaxsbbWJ0iEOY5IVLtHHPBDOIXcgu0JmQmMkjJAO0niQaiO5Y7mxk+QBQPQqqAFHoAA4UsVmK1UIp3SNnJvJs2Q1mcosb9lKsSCOIzW9vM8UYJPZxySxlhHxOFJIHcBUFmJOSck95rGshWFCMdEZcm9T0CsEFMxQoqk4Y1j3+hd8E6S7vU9UU5RWKCmoKpS3MkFNRa8RaaooD1FpqivFFORaAFWmqtCinItAeItMAr1VpirQGKrTFSswtZqlAYhayC0xVrNVoBYWl3FpHLwkjjkHkdFYf2hUoJWQWjVzKdit6j0M0ycFZLKHDDHiAxkekGMjB9Ncl6cdT+oI2NLjk1COQkLCpjS7i785cqkiDBO7IIxxHfX0BsrcdDk+yo8/gy/wDKeo3SjI6qGOq0dHdbnofDGudXWs2k/ue9lt7WYoJOzLvM4Vhld3YqUBx5HNP07q6urjETanCoLcAbeRgM+kyCu/8AXjpz3fSa1tosJ7oa0hLlcoheLgzjvUHBx6Ks+n9UEM7zLDNExgYIsjtInb8Ml0Ck4XIrd0ormI/jKsnqfNHglv2lFtFqtqXQFUVoZkQ8M4DKzcTw7vJW7seofpRHFHdItpeW7rG6rBdrHMTKoaNTHdLGu7DA4Vzzrs150HbTZwJ4WBaObBEkhV/rMm0q6t3Nius9Gr2KbS7Jo9pRjZhQDkqFiiAB7w2BWOLjLIRxlWDve58/9CuqsKFl1UiR+Ys0YmFD/wCc4+3N6B4v9KuhWujWkOOytoI8ctsSAjHpxW4mXifWf00plpGCjoZr4qpWd5Pu5iMyeSlstSmWlstbHORWWlutSWWlsKAistKdalutJYUBFYUphUp1pLLQEZ1pTrUlhSmFARmFJYVKdaS4oCOwpTipDClMKAjkVgwprCsCKAKKKK92eJCiiigCiiigCiiigCiiigAVkK8FZUYAVkK8FZVqEZKKyFeCsqwbHorJRWIFMFYNkeihBXtZqKoeGPmj3+hd8E6S7vUyQU5RWCCnIKpi3MlFOQVigpyCgMkWmoK8UU5FoD1FpqrXirTkWgPUWmKtCimqtACrWarWSrTVSgMFWmBKzVKYFoBapWQWmBazC0AnZSry3d0ZUmmt2YECWB9kq5GDtbuyCQfQamBK92f94oDn1x0NktnNyLtpWiDP9cQlydpGd5c5PHnirL0W1C4mlVDMwVjk4C57uXi8Kna+v2PN+Sb9FanoH90J6j+ypIvI15y167qjLLJaT/X4mwkcjjMsTYG11PoLcR3jIqgad0JERVjcyhlIIMI7JgR3hskj4qtXTQ4vj+VT+9HUllrEshFkUp6z6Sck+vymllallawZa0NiIy0tlqUy0p1oCMwpLrUtlpTCgIjClOtSnWksKAiutJcVLdaS60BFdaSwqS4pLigI7CksKkuKS4oCMwpTipDilOKAjuKWwpzClMKAwooor3Z4kKKKKAKKKKAKKKKA3dno0b6fcXZdxJBcwQKg29mVlGWLcM7h6DXnQbR49QvYLaVnSOYyhmj27x2dvLMNu4Ec4wOI5E1Yeh7Wg0m9N6k7we7rbK2zIsu7YNuDJwxnnWz6tptEOo2wtIdSW4zP2TTyW7Qj7Fn37wh3HxN4GO8iq6piJRjUsnlez5lkvI76dCMpU81na635sonRTR5dQnjgiKo0gLNI2dkUaLud2xzAHd3kgcM5rctb9Hw3Z+6dUPHb7rEVt7mJ+EEH23su/wDC9HfWXVAM3T9+dPuwB/shVSHL4v2VM9qdRxu0klp139iBNQpqVk229eq3ubzXtEOn3QguH3RZiftof/EtpCD2sYOcNt3cDnBUjiOJ96YaQLC7mt1ZnSMqY3bGXjkjWRWJUYPBsZHeDW663fuq3/qyz/8Am1ndol9Jo0knETRQ2dyD98LK5McrMeOWaFgfURUUK0tmE5c6d+1Z38EyWdGN5QXM1bs09UVvWNJns2RLiPs2khSdBkHMcm4KTg8DlWGDxGKna1o8dtbWUpZzPeRyzOh27I4Q4WArwyS6nPE9xqb0m1afVLZLmYq00V5JbLtVEAhuIUlgjOOZV4Z+J/DPGl9YtwrXjxx/arKOKwi9CWqbGX4pDLWYVJycVLXO9urL1TMShCKk1pkl35+jRX1rNaxWsxXWc56KYgrBadGKoeGPmj3+hd8E6S7vUzUU5RWEYp0YqmLczUU5BWCCnoKAyQU9RWMYpqigMkWnqKxQU5BQHqrTUWvEWnotACLTVWhVpqrQHirTAtZKtMVaAwC1kFpirWYWgFBKNlPC0baA1PSJfsaf8k/6K0nQH7pj9R/ZVg6TD7Fn/Iv+iq90AP2SnqP7KkhoaPU2vTn7s9cyf8yMVsStazp0fsofl4/+dGK3TLWJ6mYEVlrBlqSy0t1rQ2IrLSnWpTClOtARHWlOtS3WkOtARnWkOtSmFKkWgIrikOKlOKTIKAiyCkuKlOKQ4oCMwpLCpDilOKAjMKSwqS4pEgoBDCkuKkOKS4oBFFFFe7PEhRRRQBRRRQBRRRQG2tda2WU9n2WfdFxFP22/GzsgBs7Pb42fLuGPIaOh+s/U+7huhF23YGQ9lv7Pd2kMkPv9rbcdpnkeWPTWpr0VG6UWmra69+Ruqkk092nmTuj2qTWM0c9uwEsR4bhlWBUqyOueKFSR8eRggGt+Ne0gt2p0Qdrnd2QvpRaFs53dj2fBM/8Ahe9xwqqV6K1nRjN3d76ZNryMwqyirL6pPzNj0g1ea+meecje+AFQbUjRRhI417kA/aTkk1tdB6Te5bWe29zRytN2phuGYCS1aaIQytHlCSSqpyZeK99Vus6xKjCUdlrJehmNWSltJ5+5YOhfSMac7s9rHdxyKn1qQhQssTExTKxjfxlDyjkD9c5jv0s0jOzM53O7F2bysxLMfjJNLFZLRU4qTklm9e4OcnFRei9TMVmBWK1kK2BmtOQUpaegqi4Y+aPf6F3wVpLu9RiinIKWgp6VTFsMjFOjFLQVIjFAZqKfGKWgp8YoDNRTkFYIKfGKAzQU9FrCMU5RQGSrTVFeIKagoD1VpqrQgpgFAeAVkFrNVrMLQCwle7K1/SHVvcgTELTtIzAIjohAUZ3HdzHdwrZWr9oitjG5QxXIO0kZKkjvB4fFUcasZScU80ZcWlc1fSpfsW4/ItVW6BHFynqb9lW7pYv2JcfkXqm9B2xcJ6m/RXRTI5G46anNyv5eP9YjqxMKrHS98zxn/wDsRfrSCrW61iepmGhHZaU61r+mWtnT4RMIGuMyCPYrhCMqWLZIOcY5U/Rb9buGOZBgSLkpuDFG70Yj74VobDHWlMKksKU4oCK60hxUtxSJBQEVxSWFSpBSHFARXFJcVJkFJYUBFcUlxUmQUhxQEZxSXFSHFJYUBHekOKksKQ1AR2FKIp7CktQEWiiivdniQooooAooooAp+n2rTyJEhUPK6opdgiAscAsx96PTSK8rD0yC6y5J1b6iQzB7IqmN7C7Qhc8BuOPFzjvrQ9ItFlsGVJmhYsnaAwSrMu3JXiy8m4HhW96FgfUzW+A+1ab/AM+4qnSDgfUf0VzUZVHOSk1ZO2nUnv6zpqqmoRcU81fXra3dRtOkOjzWEzQXAUSoFLbG3Lh1DLg48hFeyaRMltHdkL2EszQId3j9ooZjle4YU8av/Wh0a9038sn1S0i33JCOyu73sZ12xKuWj7M4BxkceINa/pVp/uXRrSP3Ra3ONRlbtbSbt4TuimO0SbR4w7xjhUFPF7UYb3a/gSzwmzKe5Xt4mk0PodeXcK3ERt1hZ2jUzTrESycCMMKx1zotc2UYlle2ZS4TENwkr5YEjxV7vFPGt/Bp3unRLZe3tbfbqM7bruXsUbxJRtVtpy/HOPIDVV1bRxbBW91WNxuJXFpcdsy4GcuNg2r6azTqylNraWrVrbuu5ipSjGKdnone+/qsePpMwtku/Ea3eZoMq2WjlUFtkq/eEqNw9BHlFZ6NpE10szxhRHaxdtNI7bUReOBnHF2w2F79prY9Cb5My2dw2211BRCzHlBcg5trgDu2ybQeXAgngtS+khOn2qacCBcOy3WpFSCBIQDb2u4HiqJtcjluII5mtpVZqWxz3y/Lzvu07bbzEacdnb5rZ9v769l9xV1rNaxWs1rpIDNRT4xSVp8dUXDGse/0LvgrSXcNjp8YpUdPjqmLYagqQgpKU9aAbGKegpUdPSgGoKfGKVGKfGKAagpyCloKegoDNRT0FLjFPSgMlFNRawQU5RQHqrT7VFLKG96Tg8ccPXWCimBa1krppA5bq91c3Moa4tsNDvSE9nImEY5OOPjZ8vHlUy01q+hQIkZCgnG6EnnxPH1mtt1oSbVtfTLL8eIx+/8APVs0sZiiPeYoyfjUGq7D7XGyp3058+fvJJLK5ynpH0l1FlWM/a5m2TYhAxGQSTnHijgONSOiDYnQ+v8ARXQel4+w7n8g/wCiubdH3xKn/fdVvR+axz1NCf1gXLRo0ie/jBkThnxkuAy8O/iBwp2mdJbuSNGdl3MoLfW1HE8+GOFQ+l75T4x+siukxDxV/or+gVip8zNoaHPukdx7qjC3EgCK25QCsYLkEcT3nGRWh6Eanc27i3iBNu7M/jR7sM0gXhJjljJrfde8vZ2UTYz9lxj+xIf2VY+h33Fa+m3jPyjJrW5mxPkFIcVKcUhxWDJGcUlxUiQUlxQEVxSJBUqQVHegI7io7ipT0iQUBGkFIcVJekPQEZ6Q4qQ9JkoCO4pL0+SkyUBHekvT5KTJQEOiiivdniQooooAooooAooooCzdF9SghsNVikkCy3UdiIEIYmQxTTNIAQMDAZTxxzqsuMg+o/oorIVHGmouT35/RL0N5Tckluy+rfqWjrR1KC71CWa2kEsTJCFcBgCViVW4MAeBBr291KBtItrcSA3Ed/LM8WGysbJKA2cYxlh399VcVkKjVBKMY9G1u7I3dduUpdK9+/MvWmSWNzpcNrPqEdnLDeSzkPDLLlWDqo8TAGd+efdWm1vSLOCPdBqcV4+8L2SW0sRCkHL7nOMDA4emtCtZCtI0HGV1J2ve2XP3X+ptKspKzitLXz5u+w22YBlJ5B1J9QIzW96e3sVzfXMsDiSKR0KOAQGAhjU8GAPNSPiqvisxUjgtva6mvG3saqb2XHv8L+5mKzWsBWa1sYQxakJUdakrVFwvrHv9C74K0l3Do6fGKSlPjqmLYdHT0pMdPSgHRinpSY6elAPjFPjpEdSI+6gHIKegpKU9KAcgpq0uOmrQDUFOUUtaatAMQU6FNxA8pxS1p0RwQR3ca0qJuDUdbZGVqct6V617qfspoziBsoUbbxdVyTlTnuqTbdNLiNVRUXCKEUkAnCgAeupHTHQOymjaGFpVnDmVzIFMbpt2BR3gj9FP07oUJIg8pkilaTHZjDDYZAitnPMqQaq6Kipyuntc+e7vJJXt1Fd6QdOrh1EDJGVuT2bEAhlUqSSMHnwrW2t7FEyMXAGfL6K0XTe0mgmYGIn3L2bgk8HErPHggeVQ3y1p21aUAAWEDAnHEuAP01ZYapy00mQVI3jmy5dKdWja2eSNg5jieTHl2StJ8mB8lWbTell3JGjgxAMi4HZk44Ac93GuK6/qdyIJMWkcQkieM7JZeCyJIpwDw5Ka3vVtrt3cSwW0kCRxttUSAsWxvVOR4Hn+appOTk7mUkkki+9Mt+pwdlcPhFcSjslCtuQHGSc8OJqJ0U6aTq0Np2URjRUjVzu37Q3Z8cHBPfyradO9PksYkMLdoZGZDvjOAduQAQ3M8edRerzocHRLu67aKfexWIYVNivuRiGBJzz51gI6G4pD1IakSUMiHFIcU96S1ARpBSJKkSVHkoBD0iSpElIloCO4pD1Ieo70BHkpElSJKRJQCJKTJT5KRJQCJKTJT3pL0BBooor3Z4kKKKKAKKKKAK9VSc4BOOJwCcDynyCvKtfVZODdtbOcRaja3Fi+TwBkjLRt69ybR+UqOtNwg5JaZm9KG3JR35FUrIVv+gmjwXFyV1BxBa26O90zyCIK24QpGZM4VjK6+vaak9FtE/8AS0VqxysF4zO3Da0VqWm3k8tjpEOP88VpPERjtLcr/wA/nOjaNCUrPe7fz+czKyVIOCCCOYIwR6waZHExUsFYovvnCkqvrYDA5H5KtPR/Zq+soZhviurqaUq2RmKOOWaONvRsiRSPJwrHUOnOp9sxhuWt443ZYYIVjWCKNWwiCPbtcAAe+B760dWbaikr2Td3v5tHuN1SgltNu12lZbu9b0VdKeIXxnY+MZztbGOec45VZusaCM+4rpI44X1CxjuJ44l2xdvw3yIv3u7cMj+bniSSd7036T39kbKO1uWhjbSbKQoqRMC7GZS2XQnkij4qj+IlJR2Us76vS3Ymb8RGO1tPS2i396OcqQeXGnbTgHBxyBwcZ8mfLVv6T3bX2mW95conuwXz2nbqio11AIWcyOEADFZF2ZxgFW5ZrM20k+j2UUSGSWXVJURBzZjHNj1DvJPAAEnlT4nJNrn2Xnprz9xniM2k+a669PcqCKSDgEgcSQCcevycj8lerVi6RX8dvENPs3DRI2+9uEPC8uRjKqe+2jIwo5EjPcCa6tS05uSu1bd2Ec4qLtftGLUlajLUlapuF9Y9/oXHBWku4elPjpCU+OqYth6fup6UiOnpQEiOnJSI6fHQD46kJ3VHjqQlAPSnpSEp6UA+OnJSUpq0A9aclJWmqaAetMWlA01TQGckqoMsyqPKxCj5TUC91q2UYE8JcvGEUSKSW3rgDB51sIYo33dpGkmFTG9Q2Ml84zy5Dl5BVD6U3DJcywwxW3ZQW8cpWWFJN2/dkZzkDgOflqtq4io5OEIrcSKKtmVbrL1iIy3GV8aSG0CAAnJSWVnxjvAI/NVTjvQ20LE7EPyCE8s1b4dXtZxl9Ns9x5sIxk+vApttBpUjDtLJYs98Tvx9a5FdWFdRNZENRRad2c+6V3f2PtMMgIAyNhyBibOfJzHy1K6Ddqlzas1vLHGHRnkeNlVU7VDvYkcFwCfiq86joejkOyWaP2e0HeOJLHuyTjFaTUeksFlMBHYws0TpCHbg4jOcKkgGUHHkOHE11yvtNyMQeSsdejv4JPeTRNnlh1P7azauX3PTxVVGttOsoeONrK0wznmd+Mn11e+jV488O+QgsZZR4qhVA3nAVV4AAY4CtWjZXJ7UiSntSJKwZEvSGpz0lqAjyVHkqRJUeSgEyUiWnyUiWgI8lIepD1HkoBMlR5KfJSJKATJSJKdJSZKAS9JemvSZKAhUUUV7s8SFFFFAFFFFAFOsLpoJI5Y/fwyxzJ/TicOvxZUUmijV1ZhOxeOnGmvaRXEpeJotavI7q02MSxtFNzctvBUbSGuLQcCc8fRUs28sVvLqweMx3WlxWKYdhML0pbWE527cAAQ3D53eTy1z+SZ2ChnZggwgZiwQeRQT4o4DgPJWXbPtCb37MHcE3NsDfhBM43cTx9Ncfwr2Um+3LVZZeCR1fEK7aXZ1PPP6s33VxqEVrqNrNMwSJJHV3PBUE0MsAZj3KDICTyABPdTtV6GanHO8a2c8oaRjHLDG0kEiFiUcTL4iAjB8YgjPHFVmplvqVyidmlxcJHjHZpNKseDz8RWx+at505be3BrS2fVe3mRwqR2diSet8v51Fn6yXVPcNruVprGwjhudjBlSY43RbhzZdvH+kK3XS7WxaT6d2lraXUI0qweRJ7WCWVlJnVlSaRSyYAyBnAbj3nPNlp0krPjezNtUKu5i21RnCjJ4KMnh6ai+EVop81/r5EvxLvJrnt9C2dZJuHkikM3uiwljL6c6IscSQnG6Hs0ACTJgK2RnxRnHIbC31Ka00ezlt22SLqcpDYzwCyNt/onaAQOYJHImqL2zlQhdigO4JuOwMc5IXOAeJ4+mshKxXaWYoDkJuOwE8yFzgH00+G5EYO1k76arP655mfiOXKSvmt+mnsWzpbp8dxEupWa7YJm23kC8fcl2cb+X/hOSCD5XHLcAKutEUzqCqu6q2NyhiFbHLcoOG+OhalpQcI7Ld93YaVJqTul29oxakJUdafHVNwxrHv8AQt+CtJdxIjp0ZqPHUiOqYtiRGaetR0p6GgJEZp6VHjp6UBIjNSIzUWM1IjNASUNOQ1HQ06M0BJjNOWo6GnKaAkIaapqOhpymgJCGmKajhsVs4NPJwSR6v+tcWLx9LDW23m9EtTaMHLQXaff/AOp/8f76oWrkPe6j/NtYF5D8CQ8/++VWWTpHYRSTRve2kbIwUo1wm9SBg7kzlDuJGDx4Vy3V+lsMF3flnH1+GERHJ2v9afG3hjvHy1wYTFQqzclzu5vODRqtLPDu+T/pU4HBX1tWi07UgB34+Kp8N4ZGGxS2M5wPQPJV7hJLbVzkrJ7DN7v8Sfjnx4/01Rel33Q35aL9FWma8MaTblZcshGQRwzzwRxqjdK74tMzKrMDLHgqCeOBw4VJiXebsZoK0VcmSP8AWk/pn9IrtPQVs2x9E0n5wh/bXCrJJnQGROxj3kiSciGId/GSTCjl3mu29VdzbzpJELqCSUSGVUt5oLjMXZwozt2TnaA+Rxx3VolkS3SuWJjSJDW21TSnhXfuVkyAT70gscKMHnkkcq07mtWjCdxbmkuaY5pLmhkTIaRJTZDSHNAKekSGnOajyGgFOajvT3qO9AJkNIkpz0iSgFSUmSmyUmSgEyUmSmyUmSgIdFFFe7PEhRRRQBRRRQBRT7CzluHWOCN5ZXzsjQFnbapdsKOeFVj8VbX/ACP1X8X3fsH/AHVrKcY6tLvCTeifgaOvRW7/AMj9V/F937B/3V6OiGq/i+79g/7qxxsOkvFG2xLc/BmlrIVuf8kNU/F937B/3Vg3RnUVZUaxug8m4ohhfc4TBcqMccbhn11jjIdJeKMbMtz8GasVmK2/+SWqfi+79g/7qy/yT1T8X3fsH/dWvGw6S8UbbEtz8GacVmtbf/JPU/xfd+wf91er0U1P8X3fsH/dWOMh0l4o2UJbn4M1S1mtbUdFdT8wu/YP+6sLPo/fzIskVncyRuNyOkTMrKeRUgcRTjI2vdeKM7Lvo/AgpT4zU9ejGpeYXfsH/dTl6Mal5jdexf8AdVJwry3HZz19C54MeypbWWhAjp8ZqavRrUfMbr2L/upq9HdQ8yuvYv8Auqp4uW4tOMjvIiU+Om2ej3kiho7W4dMsu5YmIyjFGGQOYZWB9INSk0K+8yuvYv8AurLpSXMFUjvI6GnoacmiX3md17F/3U5NGvfM7n2L/urHFy3DjIiUNPQ1EgkDAEcjyqQhrVpp2ZsmmroloacpqLG1OQ1gySkNORqio1OQ0BJU0xWqOjUwGgGzcVYeVWHyg1vZZmHIn5cfnFV9jkEeUEZ8mRWynudoG8EcB4wBK/KOXx+WqDharSjVgqtrNc+mu8npJtOxz3TtBtL29v2ltbRpIJYm3mEM0jfXGBk2uCzAjma1za5p6O0cuj2z7G7PfHJPFn0jnj5asXRFtt5qe7K7zCybuG4bZclcgZHEd5rm2oYFxLy+3fLy/BbnW9HDYeUVJW8TEpyWRaXu9Elxu0qVOX2u/k7wfKPRSRcaEhAFrqEZOPtd1C3xkvHnvrRwHl6l/C8jVHmzkc/lPkXyirfB4am52ehyYirKMW0b+a80GR9pj1d2UczdxJ39zImedKmTQmBY6dfTtGcoJ9XuyM+UBThaqcB+vvz5en8I+itnByb4q6MXCNGTURg5OrFORL1iayvF7P6nFE2lPG1C7lKrzwN3dwHkrQaBq31HeWXTYEtZivZGQyTTsULqxGJX24yAeXdW405Of/flqq6+DGH3ZUFxxI4EZ48TXJSquUszsq0oxWR0Dop0kvtQeNry5lnK3Ue1WIEa5jfO2NAFU8+6ugOa5P1YzZZAFfablGD48QgRyjg333HyZ9OK6o5rpepDzGLmkOaY5pEhrBgW5pDmmOaQ5oDBzUdzTZDSGNALkNIc0xzSXNAJekuaaxpDGgFtSHNNY0ljQCnpL01jSTQEWiiivdniQooooAooooC2dT/8rWfruf1K5rs3T3plBpUY3KZbiQHsYFO3cBzeRuPZxA8M4JJ5A4OOM9T/APK1n67n9Sua3WhWw17WpXuPHt4jLJsPFWt7eQRW8J7grFkZh35k8tVmLw0KlfbqfLGF318qVl3nZh8VOlRcKXzznsrq5MbvuJdnedKdYHaQuba3bijLttYSM5BjY5mlX+cCw4VIfR+l1r48d01xjBKrcRzcu7ZdKAfi4119VAAAAAAAAAwAByAHcK9qrfCmdo06aW7Zv4ss1wTleVWo5b9q3giodWvSG9vRPHf24gntWiBHZyRMwkDkFopM495zBwc8MVsdX+77D8lqH9y3rfCtDq/3fYfktQ/uW9cu3GdRyirKzyXNyWdnFyhSUZS2mnHN6vlI31RtUvI7aKSaU4jhjeVz/NRSxx5Tw4Dy1JrmnXvrfZwR2cZJe5YSSgcT2MTAouBxy8u3Hl7JhWMJh3Xqxprnf05/obYzELD0ZVHzLLt5vqaHq76c3T6gBdzu0F4zxiNnzHBLI26ER596M/W8D8MeSu01xXp70NNlp9nNGNs9sFS7dPfb5m7QPuHE9nMxQHyOvkrqHQjWhqFpDPw3su2YDksyeLIMdwLDI9DCrDhOnSnGNeirRu4PtWniit4KqVacpUKzvKymux6+DN0aq3V+rnSbUIcObIBDyw5Vgpz3ccVaTVc6sf5Msv8ARk/bVbH7qXbHykWc860fyy84lMXRelfng/4hPm6093qWuxXS2b3r+6GaNAA6FMygFMvs5cRXbq5H0l/9YIvy9l/cSrKhi3Wk9qEMk3lFIr6uEVCK2ZzzaWcrk36j9J/Ox7dP8FdC0KOZYIVuG3TrEgmbIOZAvjnI58am0VW1a7qKzSXYrFlSoKm7pt9ruaHoB9xr/pF9+vXNUvpVq2onU5LW1uXQM0KxR7lVAWtonPEqcZJY/HV06Afca/6Rffr1zVD1m4SLXi8jqiJNblnYhVUe44uJJ5CuvDpOtUyvZSe/O5y13alDO2cV9DZfUnpJ50PbJ/gqzdCrXUYhL9UJO0JKdl44fAAbfyAx97UsdJ9O89tfbJ++punahBcAtBLHMqnazRsGAbAOCR34I+WoKtaco2cUu6xNSpQjK6k333OJ6efEX1VMQ1r9PPiL6qmKahr/AHku1+ZNR+7j2IlIaehqIjU5GqIkJSmmo1RlamKaAlK1NVq90aJZJURgWDttwCRgbWZmOB3BflYVbB0ftc4w/AD78448q53iOW4pN27PVmbFVBrcEhgCD97zB9VbObQbVFLEMAqlj4zcgMnvqm6Zqay9k6qIBIzJgu5LMDFhQGA3ZDN3feVTcL1ox2Zzi1zZ2s/Bt/QmpRbyRqtAhM9zqCSSOUikj7MbiNm5N7bc92W/NVIvtQZZpEaKKULKF3vGxfAxzfy/9+irbaa/p9je3yXE6QyyT4IKyYO1VCksFIHArz8tVO+tI5pnlhkWVHk3hkw4YcMbePkrnhTw1lenZ9lvI22p7xaTIQMwqAQvAMi44N3FT5Pz1AuEtyftcgzw8WZOGQD3xnuqdIiRYDPg7RwxjluHdxPPyd1ay6lXhiReHPJcfe4/Bq2wiwylm2u+Xuc9bjGsvQiR+5jI4RZge9u1gPf6YTWTafvzia5XgOUkIHx7YBUe3VEdnMindyClj99nkR6a3NnhhuQ7gVyMA92c8MZGMHnXTiZUlL/p5+L8zfCRnbl+3ka/T9B3HLTzsAfemeYA8O8I4H5q1Wtr2e7asSlSMOsMKyDxgPtoXeT6c1a9LnJJCpKxwW8WKQkry3ABeWe+tdeaM0s0fuhXgtZXy0j4Qskas7BN5GCSoXJ8tKG1tZktbYsrM2PVdGzknixW4RmYnJCiGUEkn0lR8ddJY1A6CTaYUtoUhmtzOIy2zYFVpgGTcWBZ28ZQWPeT6qvV30atk5yXGe4AIc+rxa63mctynO1Jc1Yb3SLdUdlkm3KMgN2eD8Q4jlVduoyjMjc1JU/F5PRWAncS7UljWbmkyGhkwc0lzWTGkuaAwc0iQ0x2pDGgMJDSJDTGNJc0At6S5pjmkyGgFtSmNZyGlPQEeivaK92eIPKK9ooDyiva8oC29T38rWfruf1K5re9VM3uLV57efxWk902oJGMyxzLInfgBljfHlJXHPjoup/+VrT13P6lc10LrW6CS3T+7bAfZShe2iU7Hl7PAjlifIxOoCjGRkKMHIw1fiatNVXRqOynBK+5qUrX6jqo0ajpKtTV3Cd7b04xvbrOl1zfph0e6QT3c0llfCG1cxdjH7qmj2hYYkfxFjIXMiueB7899aTRete5tfrOp2rvLHgNIB2FxgfCwSAAv6QVHo76nX3XNbhfrFlMzf8AnSxxKPjTeT+aq6jwfjKFS8IKXNfJrtzO+vwlgsRTtObjbOyupdmSPeorWru7e7903M04SO3KCWRn27mm3EZ5ZwPkq7av932H5LUP7lvVD/g/adPF7qeSGWOKSO3WKSSNkWQoZS2zcBuA3LxHDjV81f7vsPyWof3LetOEVBYyaha1ubT5Ook4Mc3goOd73Wuvzm9Jxz5V89azrU99qb3kFu92sEyGCIRySIIoDiAuIhkKzKZMeViOVdU64Nc9xWDqrbZrvNtHxwQrg9s48mIwwz3F1pPUvonuSxEjDEt6RO2eYixiBfVsy/rmNbYGSw1CWIkrt8iK/wAjXHxeKrxw8XZLlyf+JUtV6a6xdQyQy6OTHNG0bj3Le5wwxkHPBhzB7iBR1I6s9tcy2M4aPtx2iI4KMtxGmWUqwBBeIZ4/Ajy12WuSddGmvaXNvqVvhW3xrIeOO3h8aB2xzDIpQ+iMDvqbC4mliFLDKCjtaWb+ZZrUixWFq4ZxxLm5bOt0lyXk9DrZqudWP8mWX+jJ+2troepR3kEU8R8SeNZAO9cjxkOPvlOVPpU1qerD+TLL/Ro/21UWapST6UfKRcbSlVg1psy84FkrkPSX/wBYYvy9l/cSuvVyDpMf/wCQxcf/AB7L+5HU2A+aX5WR475Y/mR1+iiiuE7TQdX/ANxr/pF9+v3Nc+6SWSXOuPDJuCSy26ttIDY9xwngSDjlXQer77jX/SL79fua5z0s1FbXW5JmUsIZLdioIDH7DhGBn11aYW/HVLa2lbxK3E24mnfS8fIuQ6ttP/Cufap83W+6N6FDYIyQGQq79oe0YMd21V4EKOGFFVEdalv5rN7SOrD0N6VR6n2vZxPH2HZZ3srbu17TGNvLHZn5agrQxOzepe3aTUZYfa5FrnIrBjsX1VMRjWusW8RfVUpWrnr/AHku1+Z0Ufu49iJiMaarGoiv/wB5pqv6aiJCYjGmoxqEr+n89MV6AsXRq8jhlDSHkh28DndK20/2Ygfjq2WOpxvwDoGPjgeNgpyPE8N9Uy00hmy4lRN6pkMJD72JV5qndx+PNTDp1wf85hGBw4SYHLjxj8gxXm6ePkm3sTebd7df/BPKn1otXSi4As7pgRkW0wHoYxsBnHHmRXMtK1Q2oslRULXW7dlN21HukTKMx8XIfv57R5Ksl1Y3ksTw+6YNkhGee8+9++KjAO3l5Kot5E31RtYDkiCSyjOGUHxZQ3jDvIZM8MZDnnVVw1j3W2I7MlnfNW5v3JqFO1ykdc1vnU51ByzyIQpGVJKpjB5rnA4jkUB4VttLiWCFQRt2qPSPiDfvo6axC41m5/Aik4HuDKqofR74N8gNazpTfFVEa8m4HBUgAcx388gf62a9Nho8ZZHFUlsq5otcvlnkPjnGOA2d3IcQeWWH+6a1clmhOMnOXXkfvUAH31TBvB4gEZA96oA2DLd3Ik5rB3bA4ZJVyPFB44I7h6K9FTpQStZFY5yuLgsVH3x+9/OuPL6qsvRS9WF9rHEc2FYnkj8kf0LxKn0HPdVft3kKjcBuK8cLw4E8uHkFOyT3fm8vH9/y1OqcGrWNduSdz6C6HyqptJ1x4jvpt0vDgk7F7Zz5AJcr/rVo+u5obOO0mkt4Z44TdO8EyF4pBHuO11BGR38+6q31e9ICyPG7bWaMQu2eTKQ9rcetJFTJ8gby1vevm7W40uGfGAyXhIIxhpLbeU+Jyy/6pqunBwbTO+ElJJoqWmdJTfN7rCxxtMwkCRDakZjYxoqD70BY1+Wuwz6ms0SHcQWjDe+27twBB9fGvnPqo0i+v4pUskDtBKGK5UHbIi4wGYZXKty/bXV7PT+kMcMcTacJOyXaHLLyySOAfuBHyVombtFmjm3FveHO7JBycd2MjhWq13iY3+EhUE/zoSYT8ZEat/r1r1ttfGQdMYqfJjOfLkGsQ12kQjvbaW3dZneMyKwDpIiBwhPPa0Sn/aCsNmYpi3JpTMa8LUt2rBseOTSXJodqS7UB45pLk1k7UljQGLk0pzWTGktQGLmksTWTmlPQGDGlOTWTmltQC6K8zRmvdnhz2irP0L6INqUdxKLmK2jtArStKrFdpV3LEgjaqhCTmt7pPVgLsMbXVrK4CEBzEGcKSMgHa3DIqGpiKVNtSla2uTyv3ElOjUqJOMb30zWdtcr3Od0V1LwM3Xn0HspP31G1Lqoe2QyXGp2kMQIBkkR0QFjhQWZsZJqNY7Dt2U14P2JHg66V3B+K9ymdENZ+p13Dddl23YGQ9lv7Pf2kMkPv9rbcdpnkfe49NdF8NTfitf8Ajj9FrXad1TSXKCWDUrWaJ87ZI0dkbaxVtrBsHDKw9YNK0TqpuLqJZVvIUDNKu1o3JHZSvEeIPeUJ+OoK8sFVe1UaduT+Jb3bK3WS0Y4ynlTTV+V+F30V879RPvOt2KYATaNDKByEl0sgHqDWhpVt1qW0R3RaFbRsOTRzojfKtmDWfgZuvPoPZSfvqBqXVkLZkW41axgaUkRLKGQvgqDtDNx4svy1HGOAfJXheZJOWOjypX7WoexufDUfxWP+NP0WoN31sGSeCf6nhfcy3C7PdZO/txGM7vc/i42eQ5z3UzwM3Xn0HspP316Opm68+g9lJ++tUuDlpb+83b4QeT2v7ObMbcdb6S47TSIpNudu+7DYzjON1rwzgfJTV65iBgaWoAGABe4AA5AD3LyrUWXVVcSyzxC8hBtWiVmMb4btYllGBnhgNistV6rjaKHudUs4EZwivKrIpchmCgs3FsKxx/NNZ4rAX2cvGfOY43HWcs+20ObI24652/Fi/wDHH6LWE3XAJBh9KjdeeHvNwyOXA2tQrLqmlmRZIdQtpI3G5HRHZWHlVgeIp/gduvPYPZSf4q12ODlu8Zmynj2ufwgSIOt8INqaUiKM4VbzavE5PAWvlqD0Y6zzZW0Ft7gEvueJY+091mPft++2e5zt9WTSbrqvuI5oYTdwk3Czsrdm+F7AITkZ453/AJq91Xq0NoFa51SzgV22q0qsgZsE7QWbicAnHorZQwNtlWzz/Hna69zRzxqe075ZfgyvZ+xt/DE34tH/ABp+jUo9bEbNvOkxF+B3m6Utkcju9zZ4VGteqeeVFeO/tnjkVXR0jcqyMMqysGwQQQc0wdT1wP8APYfZv++q/FrDpridnr+b1LHCSxDT43a6vl9CcOuA/i4f8Z/+NWQ63T+Lh/xn/wCPWivurtLZ1jn1azikcApHJlXYFiqlVLZIJBHrFM1rq1ntEWRrqJw09vDgI4ObiZIVPE8gXB+KuVQWWUc/zHVxjV85Za/KS+jvWQbSEQ+4hJiSeTf7q2fb55Z8bewPLtNuc8dueGcVLk6y43JLaVCzHmWuFJOBgZJtuPAD5KSeqi4Ayb2DA4k9nJy+WtOvRa1/Hem/7/8A99Zs5ttbP9xhy2Uk2/7TfjrFi/FMHt0+jU636ygmdmmRJnGdt0FzjOM4tuPM/LVdHRm2/Hem/wC//wDfW5teraaVVeO+tnjdQyOqOVZSMhlIbiCKxKFtbf3GYyvo3/aU62baAM8hipCyVYtG6B3FyJCtzCvZXNxbHKOctbyNGWGDyJXPx1Ju+r6WFS81/aRIvN5FZFHrZmAFaTptyd2r9/sSQqJRVk7FZV6aklbG26PwOwVdXsCxOADvUE8sAswBNbodXNz51B7OT/FWsqLjq19fYzGspaLy9ysLIP8AvFZiSkatbtazywOys0JUFlBAO5FfgCf51LifJAHMkAesnhUdWLp67r+pJTmpq67DoluPEHAcvL6R6aYRz4Dn5f8ArSo2G0HyqM4Pl4+T0VmxHH1+X1+iqzCQfFxy5l6dZNN5nrDgeA+X0H01WotGf6otePgQC9K81DM+2QDh3oN0bE/zDVlJHHnzNVPVtT2XOxmJKTTYxkqqNFPL6s8vzjnivN//AKHWC6nl+k6cPzlAeUKbiaTIee4nlzjxgjOxAOcE+Uek+mqfqE+99xP3xPI4UJnHdyLnHxDyVYOkE5Vcbc7VzkZxhQNpGDxG4p/uVW5gmGAVuGyP347slseL+Eufjr2PBtLZiv2KrEyvkLKD8IcEOeDcd+fR5HHyUr3OpABb7xuW7PHf/N8hqTIFy/itzC++HIHh975EoIXPI+8/CHwf9GrmLdv+P5znE0jyOMDbxHLb995SPJ6abGvLiPJ3+vyeqsV2jHA8Ce8fzT5KcoHkPA+X1+j1VvcWMbG7NtMsgPie9YceKsePD0Hj8VXbprqpudLkgJy0b9oh8scySK+PW7kmqPdRgg8PKOdSrS5LQoGOQkiI/wCTMiHj8i/LXPilkpdx0YfJ27y59Qumy2EssU0TwytaxTkOCpKmeZEYA8QMLj4q7Et045M3ymuZ9C+kL6jqU00rq0jWKqdoACrHceIoA/pn5a6CDXHY6yet9J+G3ymtP08mMlqjNxMdwBuPHxZEfhx9KCpQatf0tb7Dl9DwsPabP/jrVgo7S0ppKQ0tLaWtTYc0lJd6U8lKaSgGu9JdvLWDyUlpKAY70pnpbSUpnoDN2pTNWDPS2agMmNYM3prBmpbPQGWaM1huo3V708Lc7P8AwdlDR3oIBBe3BB4gjZNkEeSoPQxjomtS2TEi2umEUZOcEPmSyfJ98RuMOfwnbyVP/g4n63e/07b+5NT+v7RSYob6LKyWziKV14MI3bMMmfKk2AMfD+iqec08bUoS0mlHsdlsvx8yxUGsDTxENabcu1bT2l4HU65B126hJeXVrpluQz70dxnh28/1uFWxy2ozufRKD3VfujfSaK405L6RgqrA0lzjkkkIInAHk3I2PKCPLXO+p20k1HULrU7ge8Z+zzxAnnBG1T5IoPE9Ui1w4Cm6Eqlaa+7yX53kju4RrLERp0Kb+8s3+RZtnWtG09LWGKCMYjgjSJfKQigbj/OPMnyk1q+r/wC4o/yt3+uXFb+tB1ffcUf5W7/XLiq67cJN71/uLTZUakUtLPzib+vnXrJ1CTVL26khVpLexj7MFeSwRSrE8vp3TSk5HHbg8lJHY+s/XfqfYTSK22aQe57fiM9rKCNy55lFDv8A7Oq11JdGY1sJZJ4w31RDRlWB42aholQ+hi0rZHMMvkFWnBslhacsVJc6hHzl9Co4Ui8XVjhIvmc5PdzR+pZurLXvqhYxSM26aMdhcccntYgBuPpdCj/7SrNXE+q65fSNVn06djsmfsVZiADLGDJbS45L2kTEYHMyIO6u2VycJYdUaz2flfKj2P8Aljt4LxLrUFtfNHky7UaHQfuzUvytn+px1Vv4Qf3DB/WEf6rd1aNA+7dS/K2f6nHVW/hCn7Ag/rCP9Vu6mwP+sp/0/wCKIcf/AKKp/V/kyy9WX8mWX+jp+k1Y6rnVh/Jll/oyfpNWOuHFffT/ADPzO/CfcQ/KvJGh1f7vsPyWof3LesesPRPd9lNCozKF7WDy9tF4yAeTcNyZ8khr3WPu+w/Jah/ct639Z4x03CcdVn/czXi41FUhLRuz74o5x1E6521q9q5+uWjZQHmYJSWXnz2v2g9AKCujMQOJOAOJJ4ADymuMaqfqFriy+8tLwl2PJRFcticE8gI5gJMDkoUd9XTrj133HYOqnEt2fcyYxkIwJnf1dmGXI5GRa7sdh+MrxnT0qWkupv5vBnDwfiXChKFTWnyX1pfL4rQqHRT/ANNazJdHxra1IkjyMjbGTHZrg+9YsDN60aug9YP3PH/p+m/r9vWs6m9F9yWCO64lvCLl/KI2GIF9XZ4bHcZGrZdYh+xo/wCsNM/X7eoK9RSrqMdI2iu46KMHGg5S1d5PvN9d+8f+g3901w3qp6NW2pmdbgygQpAydk4X7YZAd2VOfeCu5XfvH/oN/dNfPnVx0xTSTMzwmbt0hUASCPb2Zcnmpznf+apcCqjpVOL15NvFmmOlBVae3pnc6f4LdN/Duvap83Vw0qyS2ijhj3bIY1jTccttQYGSAMmuZeGaHzFv+JT5uunaZddvFFKBtE0UcoXOdokQPjPfjNc+KjiElxt+q7OjDSoSb4q3WafoKfrd1/WmpfrclUTpEr6trBtJZWjghLIoBGQI4u0kKKeHasc+MRwUDntwbx0CP1u6/rbVP1yWqx1k9Ebnt/qhp28zrtaWKPhLujUKJYfwjtABTvx35IqXDzUa0ruzaaT3MirxcqMbK6Vm1vRsb3qxsGTETzxPjg5cSDP89GHjD0Ar66snRHT5LS1hglYM8IZSyklSO0coRniBtK8O7lVG6IdaCMRDqSiGQHYblQVj3A4xPGeMLZ5kcM5yFFdNVgRkEEEZBHEEHkQe8VDiePjyKt96/ZkuG4mXLp9j/dHDOsGTGo3f9OP/AJEVauwk3SRjOCZEGT6WAyad1nS7dSu/ykf/ACIq0unXQEsZJ4CWM/I6n9lQY+9suiv8STC6f1PzZ1m3ugFUbjyUffZ++rMXa/hD33p9PoqhHVQOGI1wyjizHj4w7mAGCD5eVeJrQHNl99g4LDj8ch8hrzVLHpQXIlzcy/c73TzOhrcg945nu9QHd6a5jrt2JL+4UAbopbvnyKi2nOCdv/m/hftrZw68ARgBvHP3zk++QcBv4nJHA1T3mPu6Zs+PI8ih3BGXNtg5AJyPFbPDOFPfVHwvX4yrBqLVk9Vbnj7HRRjZM12qgFz9sX64i4x3M8jDjkd2381bqDRmmgQu+2czO82JowQ2yIBZIxkwybcOy88t3ElRXIS3iHxs5tve9svERkH3yHjnI51jFdyZT67LntOOZ5R3pz3KPKOHpr0+IjUqwSpT2Ws72v66etjgUUpZq5uJNO2xzoplZ2mQjeAhUxGVXjALDtGftByK42A8c5GsFthg6sxXsiGDDiuI1Xaw3cHAcHlxK8xuGYLXEhBJllJ3LxNySeTnmRT5NQkI7MO6oEO4Cc5djHxZyRx5DA5Aeskz01WgmnO99fBI0cIvmJNtbIF3mQvt5KcgFmKgZ/DXPcKVPFxwHJL7m5YC4II3HOBnNQnupMfbZcnKk+6DkgBMAnvGAOHoryW5cliZZTzHGYnALLwHHlwHyV0xdVO+2OLjuJEg7s54LxHLl+momo5is7uQd0MoB8j7CVPyivDcY5k8hzbPkp3SBlfSrvb74ICePe09vHx+JyPjretiHsqPWiehRWb3I238H/U0n1G4Ke99w7eHAZWWMn467sJK+Sf4Purm1nmcK8hCY2IQGKkjPEggDlzruS9YCjnZ3mfRJCf/AJddFk9Dnu1qdFV6gdK2+wrj0JER6xcQ/szVMHWJGP8ANL3/ANif2Co2r9OhcwvCkM0XabATMFGVV1chdvf4orElYync1rTUppagmelmeozYntLSmlqE01LaagJrTUp5aiNNS2moCW0lLZ6iNLWBloCS0lYNJUYy1gZaAkM9LZ6jmWsGloCdmjNK3Ubq9/Y8Dc7h/BvP1u9/p2v9yauo6zp8d3DLBKMxzxPE3lAcY3L5GHMHygVy3+DYfrd7/Ttf7k1ddryfCraxcmuryR6nghKWDinpyvNnzDNqt3YW95pb8A90na4zwMBZZQgxkrIUtzn8FDwO7h3zq50P6n2MMJGJSvbXHLPby+M4JHPb4qA+SMVX+knQQ3OsW14FHubAlu+KjM9rj3PwJy+/60DgYxbtn3wz0Kp+E8fCtThGHPy5/m09PqmcvBPB86FWcqnNyIfl19fNBWg6vvuKP8rd/rlxW/qtdCZHXTw0adpIrXzJHuC9o4u7kqm5jhcnAyeAzVVH7t9q8pFxJ/8AVXZLzic462rqXVdTg022OexOw5JCCeVRJK74HFY4VXiMkeOPRUiLqy1xAFTVgiqAqqt1eqqqBgKqgYVQBjArb9VHQy8tbm4vNSVBcSBhHh0ky07mS4lOwkKSQoHfhn8tdNq4xHCLw6jQoOLjFK7sneTzbVykwvBixO1XxCkpSbsrtWiskn4Hzz036F6npiJez3QuGWaJRMkk0ksLg7oZC0w96HVQPISvlruHQ/WV1C0guVwO2jBdRnCSqSkqDPcrqwz3gA99P6RaXHe281vL7yeNoycAlCeKSKD98rBWHpUVSepvQ9U00TwXsSrA7CaF0mjkCy4Ecq4B3bWURkcBjY2eLVFiMUsXhr1GlODy5rxfMl1P6E2HwjweKtTTcJrPntJb3ua+vYWbQPu3Uvytn+px1VP4RH3Bb/1hH+q3lWro/wDdupflbP8AU461HXJ0futRtIYrSMSSJeJMwZ0jAjWC4jJy5AJ3SJw9NRYOcYYunKTsuTn/AEomxsJTwdSMVd8rJfmZs+q/+TLL/Rk/SaslcU07ROmFvGkUMnZxRLtjQS2JCqOQBYEn4zU6ysemQkj7SY9n2kfaDtLDjHvG8cFz73PKpa+AjKcpqtTzbfzfsQ4fhGUKcYOjVySXy5ZZby/ax/KFh+S1D+5b1v60Gs/yhp/5LUf7ltW/qsqfLHs9WW1L5p9v+2JQuu/QvdViZkXMtkTMPKYCAtwvqChZP9jXMdMubjpBd6dazZMdtCsMpyx3RRHfcTM3NXkjSJM/hBfLX0TLGrgqwDKwKspGQykYIIPMEcKoHVX0GbS5r2SQA75TBZsWDMbMHtA5weDMSgIPHMHkIJsMNjVCg4y1jfZ/qyfucGJwTlXUo6Sttf05rx0OgKoAAAAAGAAMAAcgB3Cq31jn7Gj/AKx0v/3hbVZarPWUfsWP+stK/wDeNtVfR+8j2osK/wB3LsZYbz3j/wBB/wC6a47/AAdFV3vNyq2IrXGQDjJn8tdjuVJVgOZVgPWQQK4T0d6GdKNP3G0VYDIqLIVntG3BM7Qe0zjG5uXlrswezKlUg5JN7Nru2jOPGbSq05qLaV72VzuvueP4NP8AdX91NAA5cB6K477h6a/Df+0sP8FdM6HpeLaQi/O67Ct2xyhy299vGPxfe7eVc9bD8Wr7cX2O50Ua/GO2xJdqsQer4/W7v+t9V/XJa3dnfwzGQRurtDIYpVB8aOQAHaw5g4IPpBBrQ9XR+t3n9cat+uy1VOlvQvVoryW+0m5G+dtzw7xE+QANn1zMU6ZGcPjGe/nW3FxnUlGUrbr6d+404yUKcXGN99tbdRtut3oxbT2012FWO6t4zJ2o4dqiY3Ryj7/K8FPMEDjjILepS+ebTlDknsJpIEJ59moR0HqUSbR5AoHdVMvNC6WaoBBfMIrfK7zI9okZK4O5ks8tKcjIBG3OOXMdW6K6JFp1tHbREssYOXb30jsSzu3kyxPDuGB3VNXahQVNyUne6tmku30IqCc67qKLirWd8rvsOB9bcu3U7v8AKR/q8NVWO72kEH3pB4+g5reddUuNUu/ysf6tDVJ90VzYxXaX/jH/ABR0YR8l/ml5s6HqakO4AkIDZBB3LwdhkcOPvwfUajyI3j/bOEgx4n9P0+gU+fEiq/A9rEkgIcICHWFx4rDK8zS2iHjcOe1/tqczjhy5eOfkrz2Hs4Rv1burrO+WpmgIbiXAEkmMoAOI49/LxRUHVbUCeV9oXMjsBsGQrW7jOeGDuk/t/HWwjTBYjIyVbhKnfHIx/TUjpNGQ+SuVMEDvswSAsLAhgOLHG0kj70L6K89w9JRlTfavI6cPmmaCLTVGBgHDx4x6Gl70TH6awi07ATgftncZP/L/AJlWaO1DYPFvGU53YHB5ByHdxrxbNfF5e/P37fzKvKdTL+biBoqh07xT773y/CeR/ItYPphzwz7z/wAz4P0tVqNkmD3cV++Y9zeqvGsUzklfe94/meXNdcZr+dxrYqEmlnA58z+H5F/n0uTSzluff+F+EP51W5rKPA4rzPIZ7h5K8eyj4+N/Z9NdCZq0UmfSzx58h5fR/OrTdIGeGzvIu6VIwM92LiFgflWulPYR/hdw7h6Kq3T+yVYHIHvjGucd4kD/ACeLW7s0ZTtoU3qgsOzuJuH+br+eXh/dPyV08pVK6sV3zXRxjbHap8e64Y/mK1e2Sp0RkfsqiaqNqg+n/p+2tnsrS9K5NiJ6W/ZWQQGuKxM9aw3FYG49NDBszPWJnrWGesWnoDYmesTPWuM1YmegNgZ6wab01AM1YmWgJzTVgZvTUIzViZaAmmWsDLUMy1iZaAsO700bq4eOvrV/NdM9hdfSqPD3q/mumexuvpVey+1sJ0n+n9zw32Zwh/24/r/Y+htD6T31iGFpcvAJNpcJjxigIUnIPLJ+Wtj4RNa/GM/9j/DXzUOv3V/NNMP+xu/2XdZDr/1bzLSj/sr79l7WkuEsBJ3lm/yIzDg3hOKtGKS3cY15I+lPCJrX4xn/ALH+Gjwia1+MZ/7H+Gvm9f4QWq+YaQfXHqP7L6sx/CF1T8W6Of8AU1T9mo1H9o4Do/2R9zf7P4V6v/bL/wCT6N8ImtfjGf8Asf4aTZ9OtWhUJFfTIgLEKuzALszseI5lmY/HXzz/ABhtU/Fmjf7uq/8A1KtdfdeWqynJtNMTjkbIrvgPwcvdEkevNPtLA2yXjBelzaPB3CW0tq3aqjbXikfTnhE1r8Yz/wBj/DR4RNa/GM/9j/DXy14Z9U+AsPZXH0ijwz6p8BYeyuPpFafaOC6K/SvY6fszGdJ/rfufU3hE1r8Yz/2P8NHhE1r8YT/Kn+Gvlnwz6p8BYeyuPpFHhn1T4Cw9lcfSKfaOC6K/SvYx9mYzpP8AW/c+oIenWrIzut9MrzFTKw25cooRCfF7lAHxU7wia1+MZ/7H+Gvlnwz6p8BYeyuPpFHhn1T4Cw9lcfSKy+EsG/wr9K9guC8YvxP9T9z6n8IetfjCf+x/ho8IetfjCf8Asf4a+WPDPqnwFh7K4+kUeGfVPgLD2Vx9IrH2jguiv0r2M/ZmM6T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}, "metadata": {}, "execution_count": 24 } ] }, { "cell_type": "code", "metadata": { "id": "ihAXPVQT2CcS", "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "outputId": "3e2f9307-b7de-4600-830d-190d3e8ff259" }, "source": [ "YouTubeVideo('dxelSWY6bhg') # diaphragm" ], "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": 25 } ] }, { "cell_type": "markdown", "metadata": { "id": "EPo1GOfHWZxH" }, "source": [ "## Rotary stem valves [(Kuphaldt, 2019, p. 2096)](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii_2v32.pdf#page=2123)" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "EwKUGGJKXujw", "outputId": "03c704e5-0fdc-47d7-d013-7fcbb760af69" }, "source": [ "YouTubeVideo('qOvbgVLjoK8') # ball" ], "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": 8 } ] }, { "cell_type": "markdown", "metadata": { "id": "jA2DmknGYjUS" }, "source": [ "## Control valve actuators [(Kuphaldt, 2019, p. 2112)](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii_2v32.pdf#page=2139)" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "ojXzE59KYmdJ", "outputId": "85f9ff24-be42-4dc9-e737-789e9f946c77" }, "source": [ "YouTubeVideo('BdmNFyN8tB8') # spring-diaphragm" ], "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": 6 } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "s5Vb7WjaZUX-", "outputId": "cb6deb36-e2c9-48d6-af11-539bb908c294" }, "source": [ "YouTubeVideo('WAI5Lcu_QXE') # rotary actuators" ], "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": 7 } ] }, { "cell_type": "markdown", "metadata": { "id": "NlAMc288gcTU" }, "source": [ "## Actuator bench-set [(Kuphaldt, 2019, p. 2137)](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii_2v32.pdf#page=2164)" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "qf0jb8Udg7RJ", "outputId": "85e4fc39-058d-423e-8d0b-f5b5eae2083b" }, "source": [ "YouTubeVideo('xGGk88FMyyk') # bench-set" ], "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": 12 } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "j1cSXDrbhO0G", "outputId": "e6b267c8-44ab-443e-a82e-b5b70001a028" }, "source": [ "YouTubeVideo('BPJUGkdKCJ8') # bench-set" ], "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": 19 } ] }, { "cell_type": "markdown", "metadata": { "id": "WsddnaR_bwtj" }, "source": [ "## Control valve sizing [(Kuphaldt, 2019, p. 2179)](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii_2v32.pdf#page=2206)" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "5R9S-MMOiwTH", "outputId": "e99d2668-968a-4b3d-d9a5-2ba66f402af7" }, "source": [ "YouTubeVideo('CNTs3xH_WHw')" ], "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": 26 } ] }, { "cell_type": "markdown", "metadata": { "id": "GX9MnXlJb7fb" }, "source": [ "## Incompressible fluids by hand [(ISA, 2007, p. 14)](http://integrated.cc/cse/ISA_750101_SPBd.pdf#page=14)" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "F7C0EtDGi_K5", "outputId": "96759b9d-bb5e-4c56-a0a3-5223212aeead" }, "source": [ "YouTubeVideo('ldLkbV3W7Pk') # incompressible" ], "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": 16 } ] }, { "cell_type": "markdown", "metadata": { "id": "hiWlP266VuyH" }, "source": [ "## Incompressible fluids using Python\n", "\n", "The function [`size_control_valve_l`](https://fluids.readthedocs.io/fluids.control_valve.html#rcbc94063f805-1) from the great Caleb Bell's [`fluids`](https://github.com/CalebBell/fluids) package calculates flow coefficient of a control valve passing a liquid according to ISA-75.01.01-2007.\n", "\n", "Let's try to solve [*ISA-75.01.01-2007 (IEC 60534-2-1 Mod)* Example 1](http://integrated.cc/cse/ISA_750101_SPBd.pdf#page=51).\n", "\n", "In this case, for a globe, parabolic plug, flow-to-open valve passing water, we have:" ] }, { "cell_type": "code", "metadata": { "id": "pVWeLPzNVuyJ", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "a12cecbc-da14-4780-daf5-1420509ea3ff" }, "source": [ "try:\n", " import fluids\n", "except:\n", " !pip install fluids\n", "\n", "from fluids.control_valve import size_control_valve_l, Kv_to_Cv\n", "\n", "Kv = size_control_valve_l(rho=965.4, Psat=70.1E3, Pc=22120E3, mu=3.1472E-4, P1=680E3, P2=220E3, Q=0.1, \n", " D1=0.15, D2=0.15, d=0.15, FL=0.9, Fd=0.46)\n", "\n", "print('Kv = %.0f mˆ3/h' % Kv) # hand calculation gives Kv = 165 mˆ3/h" ], "execution_count": 5, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Kv = 165 mˆ3/h\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "E44lNdtqVuyN" }, "source": [ "Now, with [*ISA-75.01.01-2007 (IEC 60534-2-1 Mod)* Example 2](http://integrated.cc/cse/ISA_750101_SPBd.pdf#page=52) for a ball, segmented ball, flow-to-open valve passing water, we have:" ] }, { "cell_type": "code", "metadata": { "id": "MUayXRsBVuyO", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "e4d7bff8-8ec2-408b-b74c-834d146e4434" }, "source": [ "Kv = size_control_valve_l(rho=965.4, Psat=70.1E3, Pc=22120E3, mu=3.1472E-4, P1=680E3, P2=220E3, Q=0.1, \n", " D1=0.1, D2=0.1, d=0.1, FL=0.6, Fd=0.98)\n", "\n", "print('Kv = %.0f mˆ3/h' % Kv) # hand calculation gives Kv = 238 mˆ3/h" ], "execution_count": 6, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Kv = 238 mˆ3/h\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "Gnt9GO5nVuyP" }, "source": [ "To illustrate a more complex case, we borrow an example from [Emerson's Control Valve Handbook](https://www.emerson.com/documents/automation/control-valve-handbook-en-3661206.pdf#page=102). It involves a flow of 800 gpm of liquid propane. The inlet and outlet pipe size is 8 inches, but the size of the valve itself is unknown. The desired pressure drop is 25 psi.\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, we calculate the necessary Kv of the valve based on an assumed valve size of 3 inches:" ] }, { "cell_type": "code", "metadata": { "id": "UM5j79GWVuyQ" }, "source": [ "try:\n", " import thermo\n", "except:\n", " !pip install thermo\n", "\n", "from scipy.constants import *\n", "from thermo.chemical import Chemical\n", "\n", "P1 = 300*psi + 14.7*psi # to Pa\n", "P2 = 275*psi + 14.7*psi # to Pa\n", "T = 273.15 + 21 # to K\n", "\n", "propane = Chemical('propane', P=(P1+P2)/2, T=T)\n", "rho = propane.rho\n", "Psat = propane.Psat\n", "Pc = propane.Pc\n", "mu = propane.mu\n", "\n", "Q = 800*gallon/minute # to m^3/s\n", "D1 = D2 = 8*inch # to m\n", "d = 3*inch # to m" ], "execution_count": 7, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "eUoiqkfcVuyQ" }, "source": [ "The standard specifies two more parameters specific to a valve:\n", "\n", "- FL, Liquid pressure recovery factor of a control valve without attached fittings\n", "- Fd, Valve style modifier\n", "\n", "Both of these are factors between 0 and 1. In the borrowed example, they are not considered in the sizing procedure and set to 1. These factors are also a function of the diameter of the valve and are normally tabulated next to the values of Cv or Kv for a valve. Again, using `size_control_valve_l` to solve for the flow coefficient:" ] }, { "cell_type": "code", "metadata": { "id": "gPpW8Q4dVuyR", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "a6335394-a66f-4ce5-c3ed-c51cc7603e79" }, "source": [ "Kv = size_control_valve_l(rho, Psat, Pc, mu, P1, P2, Q, D1, D2, d, FL=1, Fd=1)\n", "\n", "print('Cv = %.1f' % Kv_to_Cv(Kv=Kv)) # hand calculation gives Cv = 125.7" ], "execution_count": 8, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Cv = 126.4\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "0y8gy52cVuyR" }, "source": [ "As this value exceeds the capacity of the assumed valve, which has a Cv of 121, we will need to try a larger valve size." ] }, { "cell_type": "code", "metadata": { "id": "ySuDgwdIVuyS", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "d6552c52-4941-45a2-dae9-f720add22a1f" }, "source": [ "d = 4*inch # to m\n", "Kv = size_control_valve_l(rho, Psat, Pc, mu, P1, P2, Q, D1, D2, d, FL=1, Fd=1)\n", "\n", "print('Cv = %.1f' % Kv_to_Cv(Kv=Kv)) # hand calculation gives Cv = 125.7" ], "execution_count": 9, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Cv = 116.1\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "yjEkc7BSVuyS" }, "source": [ "As the new calculated Cv is well under the larger valve’s maximum rated Cv, which has a value of 203, we can select this larger valve size.\n", "\n", "This model requires a vapor pressure and a critical pressure of the fluid as inputs. There is no clarification in the standard about how to handle mixtures, which do not have these values. It is reasonable to calculate vapor pressure as the bubble pressure, and the mixture’s critical pressure through a mole-weighted average.\n", "\n", "For actual values of Cv, Fl, Fd, and available diameters, an excellent resource is the [Fisher Catalog #12](http://www.documentation.emersonprocess.com/groups/public/documents/catalog/cat12_s1.pdf#page=153)." ] }, { "cell_type": "markdown", "metadata": { "id": "Y5nkgsw_dhaN" }, "source": [ "## Compressible fluids by hand [(ISA, 2007, p. 16)](http://integrated.cc/cse/ISA_750101_SPBd.pdf#page=16)" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "IigKzGAAjZzf", "outputId": "252c8614-75ae-4a01-b941-9215f0dead0b" }, "source": [ "YouTubeVideo('yQypZR-ocoQ') # compressible" ], "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": 17 } ] }, { "cell_type": "markdown", "metadata": { "id": "r6r2GuMRVuyT" }, "source": [ "## Compressible fluids using Python\n", "\n", "The function [`size_control_valve_g`](https://fluids.readthedocs.io/fluids.control_valve.html#rcbc94063f805-1) from the great Caleb Bell's [`fluids`](https://github.com/CalebBell/fluids) package calculates flow coefficient of a control valve passing a liquid according to ISA-75.01.01-2007.\n", "\n", "From [*ISA-75.01.01-2007 (IEC 60534-2-1 Mod)* Example 3](http://integrated.cc/cse/ISA_750101_SPBd.pdf#page=55) for non-choked gas flow with attached fittings and a rotary, eccentric plug, flow-to-open control valve passing carbon dioxide, we have:" ] }, { "cell_type": "code", "metadata": { "id": "Hv5Ry7qLVuyU", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "1777a646-da11-47a9-bedb-d7536fad2dff" }, "source": [ "from fluids.control_valve import size_control_valve_g\n", "\n", "Kv = size_control_valve_g(T=433., MW=44.01, mu=1.4665E-4, gamma=1.30, Z=0.988, P1=680E3, P2=310E3, Q=38/36., \n", " D1=0.08, D2=0.1, d=0.05,FL=0.85, Fd=0.42, xT=0.60)\n", "\n", "print('Kv = %.1f mˆ3/h' % Kv) # hand calculation gives Kv = 72.1 m3/h" ], "execution_count": 10, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Kv = 72.6 mˆ3/h\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "Rm-EiBw5VuyV" }, "source": [ "From [*ISA-75.01.01-2007 (IEC 60534-2-1 Mod)* Example 4](http://integrated.cc/cse/ISA_750101_SPBd.pdf#page=60) for a small flow trim sized tapered needle plug valve passing water, we have:" ] }, { "cell_type": "code", "metadata": { "id": "mP1uUV7DVuyW", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "616e188c-b6e2-40dd-b0dd-c27e9172ec1c" }, "source": [ "Kv = size_control_valve_g(T=320., MW=39.95, mu=5.625E-5, gamma=1.67, Z=1.0, P1=2.8E5, P2=1.3E5, Q=0.46/3600., \n", " D1=0.015, D2=0.015, d=0.015, FL=0.98, Fd=0.07, xT=0.8)\n", "\n", "print('Kv = %.4f mˆ3/h' % Kv) # hand calculation gives Cv = 0.0184" ], "execution_count": 11, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Kv = 0.0165 mˆ3/h\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "BdKJpouTVuyX" }, "source": [ "To illustrate a more complex case, we borrow an example from [Emerson's Control Valve Handbook](https://www.emerson.com/documents/automation/control-valve-handbook-en-3661206.pdf#page=106). It involves a flow of 6 million scfh of natural gas. The inlet and outlet pipe size is 8 inches, but the size of the valve itself is unknown. The desired pressure drop is 150 psi.\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, we calculate the necessary Kv of the valve based on an assumed valve size of 8 inches:" ] }, { "cell_type": "code", "metadata": { "id": "dlysJ0qNVuyX" }, "source": [ "P1 = 200*psi + 14.7*psi # to Pa\n", "P2 = 50*psi + 14.7*psi # to Pa\n", "T = 273.15 + 16 # to K\n", "\n", "natural_gas = Chemical('natural gas')\n", "natural_gas.calculate(T=T, P=(P1+P2)/2)\n", "Z = natural_gas.Z\n", "MW = natural_gas.MW\n", "mu = natural_gas.mul\n", "gamma = natural_gas.isentropic_exponent\n", "\n", "Q = 6E6*foot**3/hour # to m^3/s\n", "D1 = D2 = d = 8*inch # 8-inch Fisher Design V250" ], "execution_count": 25, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "eqwHWaGjVuyY" }, "source": [ "The standard specifies three more parameters specific to a valve:\n", "\n", "- FL, Liquid pressure recovery factor of a control valve without attached fittings\n", "- Fd, Valve style modifier\n", "- xT, Pressure difference ratio factor of a valve without fittings at choked flow\n", "\n", "All three of these are factors between 0 and 1. In the borrowed example, FL and Fd are not considered in the sizing procedure and set to 1. xT is specified as 0.137 at full opening. These factors are also a function of the diameter of the valve and are normally tabulated next to the values of Cv or Kv for a valve. Again using `size_control_valve_g` to solve for the flow coefficient:" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "EPLeS82ynYlw", "outputId": "3435c934-9446-49a7-fe86-8ce02e85bea0" }, "source": [ "Kv = size_control_valve_g(T, MW, mu, gamma, Z, P1, P2, Q, D1, D2, d, FL=1, Fd=1, xT=.137)\n", "\n", "print('Cv = %.0f' % Kv_to_Cv(Kv=Kv))" ], "execution_count": 26, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Cv = 1522\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "4EIoDIm9VuyZ" }, "source": [ "As the calculated Cv is well under the 8-inch valve maximum rated Cv, which has a value of 2190, the valve is adequate to provide the desired flow.\n", "\n", "The calculated Cv value in the borrowed example is 1504, differing slightly due to the natural gas properties used (look at the molar mass difference!)." ] }, { "cell_type": "code", "metadata": { "id": "hc6sfiPiKgWY", "outputId": "79d1b7cd-c1f7-4f3a-a511-0816ee86f308", "colab": { "base_uri": "https://localhost:8080/" } }, "source": [ "print('The hand calculation assumes a molar mass value of 17.38 kg/kmol and here we used a value of %.2f kg/kmol'% natural_gas.MW)" ], "execution_count": 42, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "The hand calculation assumes a molar mass value of 17.38 kg/kmol and here we used a value of 16.04 kg/kmol\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "Q0o-P8uPNHPu" }, "source": [ "The example next goes on to determine the actual opening position the valve should be set at to provide the required flow. Their conclusion is approximately 83% open; we can do better using a numerical solver. The values of opening at different positions are obtained in this example from the [Fisher Catalog #12](http://www.documentation.emersonprocess.com/groups/public/documents/catalog/cat12_s1.pdf#page=325).\n", "\n", "Loading the data and creating interpolation functions so FL, Fd, and xT are all smooth functions:" ] }, { "cell_type": "code", "metadata": { "id": "SVzosD86VuyZ" }, "source": [ "# loading some libraries\n", "from scipy.interpolate import interp1d\n", "from scipy.optimize import newton\n", "\n", "# taking values from the catalog, page 325\n", "openings = [20, 30, 40, 50, 60, 70, 80, 90] # in degrees\n", "Fds = [0.59, 0.75, 0.85, 0.92, 0.96, 0.98, 0.99, 0.99]\n", "Fls = [0.9, 0.9, 0.9, 0.85, 0.78, 0.68, 0.57, 0.45]\n", "xTs = [0.92, 0.81, 0.85, 0.63, 0.58, 0.48, 0.29, 0.14]\n", "Kvs = [24.1, 79.4, 153, 266, 413, 623, 1060, 1890]\n", "\n", "# creating the smooth interpolation functions to each coefficient\n", "Fd_interp = interp1d(openings, Fds, kind='cubic')\n", "Fl_interp = interp1d(openings, Fls, kind='cubic')\n", "xT_interp = interp1d(openings, xTs, kind='cubic')\n", "Kv_interp = interp1d(openings, Kvs, kind='cubic')" ], "execution_count": 30, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "6YTZd5IuVuya" }, "source": [ "Creating and solving the objective function:" ] }, { "cell_type": "code", "metadata": { "id": "OC00gYc6Vuya", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "4be1fa77-20bf-42c3-ea40-ed8a30f342cb" }, "source": [ "# creating the objective function\n", "def to_solve(opening):\n", " Fd = float(Fd_interp(opening))\n", " Fl = float(Fl_interp(opening))\n", " xT = float(xT_interp(opening))\n", " Kv_lookup = float(Kv_interp(opening))\n", " Kv_calc = size_control_valve_g(T, MW, mu, gamma, Z, P1, P2, Q, D1, D2, d, FL=Fl, Fd=Fd, xT=xT)\n", " return Kv_calc - Kv_lookup\n", "\n", "# solving with Newton's method\n", "Xv = newton(to_solve, 60) # initial guess of 60 degrees\n", "\n", "print('Cv = %.0f' % Kv_to_Cv(Kv=float(Kv_interp(Xv)))) # hand calculation gives Cv = 923\n", "print('xT = %.3f' % float(xT_interp(Xv))) # hand calculation gives xT = 0.372\n", "print('Xv = %.0f degrees' % Xv) # hand calculation gives Xv = 74 degrees" ], "execution_count": 39, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Cv = 883\n", "xT = 0.407\n", "Xv = 74 degrees\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "jNdreOZrVuya" }, "source": [ "The hand calculated Xv value in the borrowed example is 74 degrees, which agrees exactly with our result. \n", "\n", "Again, the Cv values differing due to the difference between the natural gas composition as shown earlier." ] }, { "cell_type": "markdown", "metadata": { "id": "sJkqoEmjmmBq" }, "source": [ "## Control valve problems [(Kuphaldt, 2019, p. 2207)](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii_2v32.pdf#page=2234)" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "6y0PSxPWnHcN", "outputId": "4b92ca7c-10a0-47ed-a3aa-189c6b4f7621" }, "source": [ "YouTubeVideo('gRsvO4Gpnf0') # flashing/cavitation" ], "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ], "image/jpeg": 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}, "metadata": {}, "execution_count": 22 } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 322 }, "id": "whgLEzZ8ntY3", "outputId": "82c71cd6-5902-4f10-8cdc-934bbed9249f" }, "source": [ "YouTubeVideo('6gZqvykrxJ0') # noise" ], "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": 23 } ] }, { "cell_type": "markdown", "metadata": { "id": "sjKdFFYBVuyb" }, "source": [ "## Safety valves [(Kuphaldt, 2019, p. 2660)](https://www.ibiblio.org/kuphaldt/socratic/sinst/book/liii_2v32.pdf#page=2687)" ] }, { "cell_type": "markdown", "metadata": { "id": "ex91OZ8PVuyb" }, "source": [ "## Exercises\n", "\n", "Try to solve the related problems listed [here](https://doc.lagout.org/electronics/Fundamentals%20of%20Industrial%20Instrumentation%20and%20Process%20Control%20%5Bby%20William%20Dunn%5D.pdf) on page 198." ] }, { "cell_type": "markdown", "metadata": { "id": "yDYCeDNzVuyb" }, "source": [ "\n", "< [Flow measurement](http://nbviewer.jupyter.org/github/gmxavier/FAT0413156/blob/master/notebooks/06.00-Flow.ipynb) | [Contents](toc.ipynb) | [Analytical measurement](http://nbviewer.jupyter.org/github/gmxavier/FAT0413156/blob/master/notebooks/08.00-Analytical.ipynb) >

\"Open

\"Download\"" ] } ] }