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diff --git a/Material_Science_In_Engineering/ch21.ipynb b/Material_Science_In_Engineering/ch21.ipynb new file mode 100755 index 00000000..b1d87105 --- /dev/null +++ b/Material_Science_In_Engineering/ch21.ipynb @@ -0,0 +1,147 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 21 : Diffusion of Solids" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 21.1 pageno : 577" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "c_cu = 2.*10**13;\t\t\t#concentration of copper in /m**3\n", + "c_al = 4.*10**6;\t\t\t#concn of copper on other side of Al in /m**3\n", + "\n", + "# Calculations\n", + "t = 3.*10**-3;\t\t \t#thickness in m\n", + "z = (c_cu-c_al)/t;\t\t\t#z = dm/dx,concentration graient\n", + "jx = 10.**21;\t\t \t#outward flux of copperv atoms in /sq m/sec\n", + "d = -jx/z;\t\t\t #diffusivity in sq m/sec\n", + "\n", + "# Results\n", + "print \"Diffusivity (in sq m/sec) = %.2e m**2/s\"%d\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Diffusivity (in sq m/sec) = -1.50e+05 m**2/s\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 21.2 pageno : 583" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\n", + "c_n = 12.;\t\t\t#nitrogen concentration in kg/m**3\n", + "t = 6.*10**-3;\t\t\t#thickness in m\n", + "\n", + "# Calculations\n", + "z = (c_n-0)/t;\t\t\t#concentration gradient in kg/m**4\n", + "d0 = 5.*10**-7;\t\t\t#in sqm/sec\n", + "q = 75.*10**3;\t\t\t#in j/mol\n", + "r = 8.314;\t\t\t#in J/mol/K\n", + "t = 400.;\t\t\t#in K\n", + "dx = d0*math.exp(-q/(r*t));\t\t\t#diffusivity in sqm/sec\n", + "jx = dx * 2*10**-3;\t\t\t#rate of flow of nitrogen in kg/sqm/sec\n", + "\n", + "# Results\n", + "print \"concentration gradient (in kg/m4) = %.0e\"%z\n", + "print \"Diffusivity (in sqm/sec) = %.3e m**2/s\"%dx\n", + "print \"Rate at which nitrogen escapes (in kg/sqm/sec) = %.3e kg/m**2/s\"%jx\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "concentration gradient (in kg/m4) = 2e+03\n", + "Diffusivity (in sqm/sec) = 8.028e-17 m**2/s\n", + "Rate at which nitrogen escapes (in kg/sqm/sec) = 1.606e-19 kg/m**2/s\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 21.4 pageno : 585" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\n", + "# variables\n", + "z = 8.;\t\t\t#ratio of diffusion in silicon at 1350 C and 1100 C\n", + "x = math.log(z);\n", + "\n", + "# calculations\n", + "q = x/(1.35*10**-5);\t\t\t#activation energy for silver diffusion in J/mol\n", + "q1 = q/1000.;\t \t\t#in kJ/mol\n", + "\n", + "# results\n", + "print \"Activation Energy in Silver diffusion (in kJ/mol) = %d kJ/mol\"%q1\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Activation Energy in Silver diffusion (in kJ/mol) = 154 kJ/mol\n" + ] + } + ], + "prompt_number": 10 + } + ], + "metadata": {} + } + ] +}
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