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|
{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 3 : The Measurement of Fluid Pressure"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 3.1.1 page no : 52"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"#initialisation of variables\n",
"\n",
"p= 14.7 \t\t#lbf/in**2\n",
"p1= 5. \t\t\t#lbf/in**2\n",
"w= 62.3 \t\t#lbf/ft**3\n",
"h= 30. \t\t\t#ft\n",
"\t\t\t\n",
"#CALCULATIONS\n",
"hmax= (p-p1)*144/w\n",
"hmin= h-hmax\n",
"\t\t\t\n",
"#RESULTS\n",
"print ' Minimum depth of the water= %.1f ft'%(hmin)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" Minimum depth of the water= 7.6 ft\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 3.2.1 page no : 56"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"#initialisation of variables\n",
"import math \n",
"T= 20. \t\t\t#C\n",
"h= 1. \t\t\t#cm\n",
"dw= 1. \t\t\t#gf/cm**3\n",
"dm= 13.6 \t\t\t#gf/cm**3\n",
"g= 981. \t\t\t#dyne\n",
"Tw= 74. \t\t\t#dyne/cm\n",
"Tm= 465. \t\t\t#dyne/cm\n",
"\t\t\t\n",
"#CALCULATIONS\n",
"hw= (4*Tw)/(dw*g*(h/10))\n",
"hm= (4*Tm*math.cos(math.radians(130)))/(dm*g*(h/10))\n",
"\t\t\t\n",
"#RESULTS\n",
"print 'capillary rise of water= %.1f cm'%(hw)\n",
"print 'capillary rise of mercury= %.2f cm'%(hm)\n",
"print 'In a tube 1 cm bore, which is about the size used in gauges in mant engineering \\n \\\n",
"recorders, the figures would be %.0f mm and %.2f mm'%(hw,hm)\n",
"# answers may vary because of rounding error and inbuilt function."
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"capillary rise of water= 3.0 cm\n",
"capillary rise of mercury= -0.90 cm\n",
"In a tube 1 cm bore, which is about the size used in gauges in mant engineering \n",
" recorders, the figures would be 3 mm and -0.90 mm\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 3.4.1 page no : 62"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"#initialisation of variables\n",
"\n",
"w1= 0.81\n",
"w2= 0.80\n",
"r= 40.\n",
"\t\t\t\n",
"#CALCULATIONS\n",
"l1 = 2*w1/(w1-w2)\n",
"a1= (2*w1)/(w1-w2+(1/r)*(w1+w2))\n",
"\t\t\t\n",
"#RESULTS\n",
"print 'limiting ratio= %.1f '%(l1)\n",
"print 'Actual ratio = %.1f'%a1"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"limiting ratio= 162.0 \n",
"Actual ratio = 32.2\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 3.4.2 page no : 62"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"\n",
"#initialisation of variables\n",
"\n",
"dh= 1. \t\t\t#in\n",
"a= 1/40. # area\n",
"A = 1 # in.\n",
"s= 0.9 # gravity\n",
"w= 62.3 \t\t#lb/ft**3\n",
"#A = 1728\n",
"\t\t\t\n",
"#CALCULATIONS\n",
"sensitivity = (A/(w*((A+a)-s*(A-a))))*1728\n",
"dpbyw= dh*((1+a)-s*(1-a))\n",
"dp= w*dpbyw/1728.\n",
"\t\t\t\n",
"#RESULTS\n",
"print \"Sensitivity = %.2f in/lbf\"%sensitivity\n",
"print 'pressure difference = %.2e lbf/in**2 '%(dp)\n",
"\n",
"\n",
"#Answer in the textbook is wrong\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Sensitivity = 188.05 in/lbf\n",
"pressure difference = 5.32e-03 lbf/in**2 \n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 3.5.1 pageno : 65"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"#initialisation of variables\n",
"\n",
"x= 1. \t\t\t#in\n",
"y= 10. \t\t\t#in\n",
"r= 40.\n",
"\t\t\t\n",
"#CALCULATIONS\n",
"dbyh= 1/((x/y)+(1/r))\n",
"\n",
"#RESULTS\n",
"print 'magnification factor= %.f '%(dbyh)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"magnification factor= 8 \n"
]
}
],
"prompt_number": 11
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 3.5.2 page no : 65"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"%pylab inline\n",
"\n",
"from matplotlib.pyplot import *\n",
"\n",
"#initialisation of variables\n",
"\n",
"p= 0.005 \t\t\t#lbf/in**2\n",
"w= 62.4 \t\t\t#lbf/ft**3\n",
"h= 1. \t\t\t#in\n",
"pressure = [0,9.04,19.08,27.16,36.16,45.20,54.24]\n",
"scale = [1.2,3.1,5.1,6.3,8.6,10.9,13.1]\n",
"\n",
"#CALCULATIONS\n",
"p= w*h/1728.\n",
"plot(scale,pressure)\n",
"plot(scale,pressure,'go-')\n",
"xlabel(\"Scale reading\")\n",
"ylabel(\"Additional pressure\")\n",
"suptitle(\"Calibration of micromanometer\")\n",
"axis([0,20,0,60])\n",
"\t\t\t\n",
"#RESULTS\n",
"print ' pressure difference = %.4f lbf/in**2 '%(p)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n",
" pressure difference = 0.0361 lbf/in**2 \n"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"WARNING: pylab import has clobbered these variables: ['draw_if_interactive']\n",
"`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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7IzMzE8uWLauJbFRLXL/9AMov34Cl7BkkfxqNlk0aSB2JiCqJYwdRlYVHhiN4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\nm/URpzH9+DAs9tqGiX1fkTo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"text": [
"<matplotlib.figure.Figure at 0x2bbc890>"
]
}
],
"prompt_number": 24
}
],
"metadata": {}
}
]
}
|
