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Created October 16, 2012 23:40
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Engineering Hydraulics @ TAU - graphical solution of a three-reservoir problem
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{
"metadata": {
"name": "three_reservoir_problem_graphical_solution"
},
"name": "three_reservoir_problem_graphical_solution",
"nbformat": 2,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": "\"\"\"\n% Graphic method of characteristics for the 3 reservouir problem\n%\n%\n|_____| H1\n \\ |_______| H2\n \\/\n /HD\n /\n|______|H3\n\n\"\"\"\n\nimport numpy as np\nimport pylab as p\n# Given\nno = np.array([1,2,3]) # pipe no.\nL = np.array([3,1,5]) # L [km]\nD = np.array([20,20,25]) # [cm]\nC = np.array([120,110,125]) # Hazen Williams\nH = np.array([100,80,20]) # heads, m \nn = 1.852\n\n# Resistance according to Hazen Williams\nR = L*1.526e7/((C**n)*(D**4.87)) # resistances\n\n\n# Let's take HD from 10 to 80 m, every 1 m\n\nHD = np.arange(10,80,0.1)\n\n# for each pipeline:\n\n# H(1) - HD = R(1)*Q(1)^n;\n# H(2) - HD = R(2)*Q(2)^n;\n# HD - H(3) = R(3)*Q(3)^n;\n\n# estimate Q(i):\n\nQ1 = ((H[0] - HD)/R[0])**(1/n);\nQ2 = ((H[1] - HD)/R[1])**(1/n);\nQ3 = ((-H[2] + HD)/R[2])**(1/n);\n\np.figure() \np.hold(True) # plot all 3 on the same curve\np.plot(Q1,HD,'r-',Q2,HD,'g--',Q3,HD,'b-.')\n\n# plot also the Q(1) + Q(2)\np.plot(Q1+Q2,HD,'k:')\n\nints = np.diff(np.sign(Q1+Q2-Q3)) < 0\np.plot(Q1[ints]+Q2[ints],HD[ints],'o')\np.plot([Q1[ints]+Q2[ints],Q1[ints]+Q2[ints]],[0,HD[ints]],':')\np.plot([0,Q1[ints]+Q2[ints]],[HD[ints],HD[ints]],':')\n\n\np.legend(('Pipe 1','Pipe 2','Pipe 3','Pipe 1+2'))\np.show()\np.savefig('.')\n\n# The point of the intersection is the solution, \n# see the attached figure.",
"language": "python",
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": "-c:42: RuntimeWarning: invalid value encountered in power"
},
{
"output_type": "display_data",
"png": 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ln40nJCQgLCwMFhYWCA0NrfXSWyKwkBDg5Eng6VNem7WxsMGet/bg09Of8toN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\nX1++N8M7b29vpKamAgBSU1Ph7e0NAPD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}
],
"prompt_number": 1
}
]
}
]
}
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