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@ijpulidos
Created December 4, 2015 15:28
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Tercer taller de mec\u00e1nica estad\u00edstica 2015 - II"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#1) La difusi\u00f3n de un perfume\n",
"Jorge Armando Calder\u00f3n \\\\\n",
"Sebasti\u00e1n Am\u00e9zquita Ni\u00f1o\n"
]
},
{
"cell_type": "heading",
"level": 5,
"metadata": {},
"source": [
"Un frasco de perfume se destapa en el centro de un tubo de vidrio lleneno de aire, de $1.2 m$ de longitud.\n",
"En el extremo del tubo se coloca un detector de perfume que se activa cuando detecta una concentraci\u00f3n lineal\n",
"de $10^9$ part\u00edculas/cm. Si a $t=0$ quedan libres $10^{12}$ pat\u00edculas en el centro del tubo, \u00bfcu\u00e1nto tiempo debe pasar para que el detector se active? Tomando $D=0.2\\frac{cm}{s}$\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Image\n",
"Image(filename='difusion.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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TM9A00XYChGfe/ymtbjkgkvpGWvsWFJXNe63cZVSkKoUFEYWQfv7002v79fG5ZFxIlATp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\nKpFIJF1DSqpEIpF0DSmpEolE0jX+f+YmtLeoQu7qAAAAAElFTkSuQmCC\n",
"prompt_number": 1,
"text": [
"<IPython.core.display.Image at 0xa0feaac>"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"La ecuacion que describe el fen\u00f3meno de la difusi\u00f3n es:\n",
" "
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"$$P(x,t)=\\frac{P(0,0)}{\\sqrt{2\\pi}\\sqrt{2Dt}}e^{-\\frac{1}{2}(\\frac{x}{\\sqrt{2Dt}})^2}$$"
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Para este caso se tiene que $P(0,0)=12^{12}$ y se debe encontrar el tiempo $t$ tal que $P(60,t)=10^9$ as\u00ed que basta con solucionar la ecuaci\u00f3n:\n"
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"$$10^9\\sqrt{2\\pi}\\sqrt{2Dt}=10^{12}e^{-\\frac{1}{2}(\\frac{x}{\\sqrt{2Dt}})^2}$$\n",
"\n"
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"para $x=60cm$ y $D=0.2\\frac{cm}{s}$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numpy import *\n",
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from scipy.optimize import fsolve\n",
"\n",
"#Funci\u00f3n que encuentra el punto en que las\n",
"#dos curvas tienen el mismo valor.\n",
"def Intersection(fun1,fun2,x0):\n",
" return fsolve(lambda x : fun1(x) - fun2(x),x0)\n",
"\n",
"#Funciones \n",
"g=lambda x:10e12*exp(-1800/(0.4*x))\n",
"z=lambda x:10e9*sqrt(0.2*pi*x)\n",
"\n",
"t = Intersection(z,g,1200.0)# Tiempo en el que se da la intersecci\u00f3n\n",
"x = numpy.linspace(5,2000)#Rango de la gr\u00e1fica\n",
"\n",
"plot(x,g(x),label=r'$\\mathrm{10^{12}e^{-1800/(0.4*x)}}$')\n",
"plot(x,z(x),label='$\\mathrm{10^9 \\sqrt{(0.2\\pi t)}}$')\n",
"plot(t,z(t),'ro')\n",
"xlabel('$t$')\n",
"legend(loc = 'upper right', bbox_to_anchor = (0.7, 1.0))\n",
"show()\n",
"print 't= ',t"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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W9EFB8N//StBbK1Nmp3zEQtiYvDx1CAQJetsiH7MQNqQs6Dt0kKC3NfJRC2Ej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\nzAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xb990a6c>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"t= [ 1260.30889638]\n"
]
}
],
"prompt_number": 26
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"El detector se activa luego de $1260.30$ segundos."
]
}
],
"metadata": {}
}
]
}
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