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{
"metadata": {
"name": "",
"signature": "sha256:ba867fe9fbc8067f0691ccade40c2ad894318b7fde36802aa91fc404852bb7c8"
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"2: Viscosity"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 2.1, Page number 11"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"eta=8.9*10**-4; #coefficient of viscosity of water(Ns/m**2)\n",
"a=0.054*10**-2; #radius of capillary tube(m)\n",
"l=56*10**-2; #length of capillary tube(m)\n",
"h=34*10**-4; #height of pressure head(m)\n",
"t=5*60; #time of flow(s)\n",
"g=9.8;\n",
"rho=10**3; #density of water(kg/m**3)\n",
"\n",
"#Calculation\n",
"V=math.pi*h*g*rho*(a**4)/(8*eta*l); #volume of water in 1 sec(m**3)\n",
"V5=V*t; #volme of water flowing in 5 minutes(m**3)\n",
"m=V5*rho; #mass of water flowing in 5 minutes(kg)\n",
"\n",
"#Result\n",
"print \"mass of water flowing in 5 minutes is\",round(m*10**3,4),\"g\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"mass of water flowing in 5 minutes is 0.6697 g\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 2.2, Page number 12"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"t1=6; #time taken by water(s)\n",
"t2=3.6; #time taken by alcohol(s)\n",
"rho1=10**3; #density of water(kg/m**3)\n",
"rho2=800; #density of alcohol(kg/m**3)\n",
"eta1=8.9*10**-4; #viscosity of water(Ns/m**2)\n",
"\n",
"#Calculation\n",
"eta2=t2*rho2*eta1/(t1*rho1); #viscosity of alcohol(Ns/m**2)\n",
"\n",
"#Result\n",
"print \"viscosity of alcohol is\",eta2*10**4,\"*10**-4 Ns/m**2\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"viscosity of alcohol is 4.272 *10**-4 Ns/m**2\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 2.3, Page number 12"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"sigma=1.26*10**-3; #density of medium(kg/m**3)\n",
"eta=2*10**-5; #viscosity of medium(Ns/m**2)\n",
"r=0.2*10**-2; #radius of body(m)\n",
"rho=8*10**-3; #density of body(kg/m**3)\n",
"g=9.8;\n",
"\n",
"#Calculation\n",
"v=2*(r**2)*(rho-sigma)*g/(9*eta); #terminal velocity(m/s)\n",
"\n",
"#Result\n",
"print \"terminal velocity is\",round(v*10**3,4),\"*10**-3 m/s\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"terminal velocity is 2.9356 *10**-3 m/s\n"
]
}
],
"prompt_number": 12
}
],
"metadata": {}
}
]
}
|
