{
"metadata": {
"name": "",
"signature": "sha256:0458e76e5cbaddd943b9a671e1b1b350576726b8ff19fee2507d932165451e88"
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"nbformat": 3,
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 3 : Flow of Fluids"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.1 Page No : 62"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"# Variables\n",
"d1 = 0.3\n",
"d2 = 0.1\n",
"z1 = 6.\n",
"z2 = 3.\n",
"p1 = 200.*1000\n",
"q1 = 0.07\n",
"a1 = math.pi*d1*d1/4\n",
"a2 = math.pi*d2*d2/4\n",
"v1 = q1/a1\n",
"v2 = q1/a2\n",
"w = 9810.\n",
"g = 9.81\n",
"\n",
"# Calculations \n",
"#applying bernoulli equation\n",
"p2 = ((z1-z2)+(((v1**2)-(v2**2))/(2*g))+(p1/w))*w\n",
"\n",
"# Results \n",
"print \"pressure at point B in N/m2\",round(p2,2),\"N/m**2\"\n",
"\n",
"# note : rounding off error."
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"pressure at point B in N/m2 190202.44 N/m**2\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.2 Page No : 63"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"# Variables\n",
"d1 = 1.\n",
"d2 = 0.5\n",
"q = 0.1\n",
"p1 = 70.*1000\n",
"l = 60.\n",
"z2 = 0.\n",
"z1 = l/20\n",
"a1 = math.pi*d1*d1/4\n",
"a2 = math.pi*d2*d2/4\n",
"v1 = q/a1\n",
"v2 = q/a2\n",
"w = 9810.\n",
"g = 9.91\n",
"\n",
"# Calculations \n",
"# applying bernoulli equation\n",
"p2 = ((z1-z2)+(((v1**2)-(v2**2))/(2*g))+(p1/w))*w\n",
"\n",
"# Results \n",
"print \"presssure at lower end in N/m2 %d\"%round(p2,3),\"N/m**2\"\n",
"\n",
"# note : rounding off error."
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"presssure at lower end in N/m2 99309 N/m**2\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.3 Page No : 64"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"d1 = 0.2\n",
"d2 = 0.1\n",
"l = 4.\n",
"x = 30.\n",
"p1 = 392.4*1000\n",
"q = 0.035\n",
"z1 = 0\n",
"\n",
"# Calculations \n",
"z2 = l*math.sin(math.radians(x))\n",
"a1 = math.pi*d1*d1/4\n",
"a2 = math.pi*d2*d2/4\n",
"v1 = q/a1\n",
"v2 = q/a2\n",
"w = 9810.\n",
"g = 9.81\n",
"p2 = ((z1-z2)+(((v1**2)-(v2**2))/(2*g))+(p1/w))*w\n",
"\n",
"# Results \n",
"print \"pressure intensity at outlet in N/m2\",round(p2,2),\"N/m**2\"\n",
"\n",
"# note : rounding off error."
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"pressure intensity at outlet in N/m2 363471.12 N/m**2\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.4 Page No : 65"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variables\n",
"d1 = 0.2\n",
"d2 = 0.1\n",
"d3 = 0.15\n",
"v1 = 4\n",
"g = 9.81\n",
"\n",
"# Calculations \n",
"vh1 = (v1**2)/(2*g)\n",
"a1 = 3.142*d1*d1/4\n",
"a2 = 3.142*d2*d2/4\n",
"a3 = 3.142*d3*d3/4\n",
"v2 = (a1*v1)/a2\n",
"vh2 = (v2**2)/(2*g)\n",
"v3 = (a1*v1)/a3\n",
"vh3 = (v3**2)/(2*g)\n",
"q = a1*v1\n",
"mf = q*1000\n",
"\n",
"# Results \n",
"print \"velocity head at point 1\",round(vh1,3),\"m\"\n",
"print \"velocity head at point 2\",round(vh2,3),\"m\"\n",
"print \"velocity head at point 3\",round(vh3,3),\"m\"\n",
"print \"mass flow rate in kg/sec\",mf\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"velocity head at point 1 0.815 m\n",
"velocity head at point 2 13.048 m\n",
"velocity head at point 3 2.577 m\n",
"mass flow rate in kg/sec 125.68\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.5 Page No : 66"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variables\n",
"d1 = 0.2\n",
"d2 = 0.5\n",
"p1 = 98.1*1000\n",
"p2 = 58.86*1000\n",
"q = 0.2\n",
"z1 = 0\n",
"z2 = 4.\n",
"g = 9.81\n",
"s = 0.87\n",
"\n",
"# Calculations \n",
"a1 = 3.142*d1*d1/4\n",
"a2 = 3.142*d2*d2/4\n",
"v1 = q/a1\n",
"v2 = q/a2\n",
"w = 9810\n",
"ph1 = p1/(w*s)\n",
"ph2 = p2/(w*s)\n",
"vh1 = (v1**2)/(2*g)\n",
"vh2 = (v2**2)/(2*g)\n",
"th1 = vh1+ph1+z1\n",
"th2 = vh2+ph2+z2\n",
"tl = th1-th2\n",
"\n",
"# Results \n",
"print \"loss of head in m,flow from 1 to 2\",round(tl,3),\"m\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"loss of head in m,flow from 1 to 2 2.61 m\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.6 Page No : 67"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variables\n",
"d1 = 0.3\n",
"d2 = 0.15\n",
"a1 = 3.142*d1*d1/4\n",
"a2 = 3.142*d2*d2/4\n",
"H = 0.18\n",
"Cd = 0.85\n",
"s2 = 13.6\n",
"s1 = 1.\n",
"w = 9810.\n",
"\n",
"# Calculations \n",
"h = H*((s2/s1)-1)\n",
"g = 9.81\n",
"q = (Cd*a1*a2*((2*g*h)**0.5))/(((a1**2)-(a2**2))**0.5)\n",
"q1 = q*1000\n",
"\n",
"# Results \n",
"print \"rate of flow in litres/sec\",round(q1,2)\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"rate of flow in litres/sec 103.5\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.7 Page No : 68"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"# Variables\n",
"q = 0.1\n",
"d1 = 0.2\n",
"Cd = 0.9\n",
"H = 0.4\n",
"s1 = 1.\n",
"s2 = 13.6\n",
"g = 9.8\n",
"\n",
"# Calculations \n",
"h = H*((s2/s1)-1)\n",
"a1 = math.pi*d1*d1/4\n",
"z = 1+(((Cd*a1*((2*g*h)**0.5))/q)**2)\n",
"a2 = ((a1**2)/z)**0.5\n",
"d2 = (4*a2/3.1)**0.5\n",
"\n",
"# Results \n",
"print \"diameter of throat in m\",round(d2,3)\n",
" \n",
"# note : rounding off error. "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"diameter of throat in m 0.117\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.8 Page No : 68"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variables\n",
"q = 0.08\n",
"d1 = 0.3\n",
"d2 = 0.15\n",
"a1 = 3.142*d1*d1/4\n",
"a2 = 3.142*d2*d2/4\n",
"h = 1.5\n",
"g = 9.81\n",
"\n",
"# Calculations \n",
"z = (a1*a2*((2*g*h)**0.5))/(((a1**2)-(a2**2))**0.5)\n",
"Cd = q/z\n",
"\n",
"# Results \n",
"print \"co-efficient of meter\",round(Cd,3)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"co-efficient of meter 0.808\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.9 Page No : 69"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variables\n",
"s2 = 13.6\n",
"s1 = 0.9\n",
"H = 0.25\n",
"h = H*((s2/s1)-1)\n",
"Cd = 0.98\n",
"w = 9810*s1\n",
"d1 = 0.3\n",
"d2 = 0.15\n",
"\n",
"# Calculations \n",
"a1 = 3.142*d1*d1/4\n",
"a2 = 3.142*d2*d2/4\n",
"dz = 0.3\n",
"g = 9.81\n",
"q = (Cd*a1*a2*((2*g*h)**0.5))/(((a1**2)-(a2**2))**0.5)\n",
"dp = (h+dz)*w\n",
"\n",
"# Results \n",
"print \"discharge of the oil in m3/sec\",round(q,4)\n",
"print \"pressure diffrence in entrance and throat section \",dp,\"N/m**2\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"discharge of the oil in m3/sec 0.1488\n",
"pressure diffrence in entrance and throat section 33795.45 N/m**2\n"
]
}
],
"prompt_number": 11
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.10 Page No : 70"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variables\n",
"H = 0.1\n",
"w = 9810.\n",
"sw = 12.\n",
"\n",
"# Calculations \n",
"h = H*(w/sw)\n",
"Cv = 0.96\n",
"g = 9.81\n",
"v = Cv*((2*g*h)**0.5)\n",
"v1 = v*18/5\n",
"\n",
"# Results \n",
"print \"speed of the plane\",round(v1,2),\"Km/hr\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"speed of the plane 138.41 Km/hr\n"
]
}
],
"prompt_number": 12
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.11 Page No : 71"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"# Variables\n",
"d1 = 0.05\n",
"d2 = 0.025\n",
"\n",
"# Calculations \n",
"a1 = math.pi*d1*d1/4\n",
"a2 = math.pi*d2*d2/4\n",
"Cd = 0.94\n",
"g = 9.81\n",
"k = ((((a1**2)/(a2**2))-1)*(1-(Cd**2)))/(2*g*(a1**2)*(Cd**2))\n",
"\n",
"# Results \n",
"print \"venturimeter constant m-5/s2\",round(k,3)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"venturimeter constant m-5/s2 26123.403\n"
]
}
],
"prompt_number": 11
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.12 Page No : 73"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"# Variables\n",
"d0 = 0.05\n",
"d1 = 0.1\n",
"H = 0.09\n",
"s2 = 13.6\n",
"s1 = 1\n",
"g = 9.81\n",
"\n",
"# Calculations \n",
"h = H*((s2/s1)-1)\n",
"Cd = 0.65\n",
"a1 = math.pi*d1*d1/4\n",
"a0 = math.pi*d0*d0/4\n",
"q = (Cd*a1*a0*((2*g*h)**0.5))/(((a1**2)-(a0**2))**0.5)\n",
"q1 = q*(10**6)\n",
"\n",
"# Results \n",
"print \"actual flow rate in cm3/sec\",round(q1,3),\"cm**3/s\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"actual flow rate in cm3/sec 6217.469 cm**3/s\n"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}