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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 15: Fluids"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 15.1: Sample_Problem_1.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Given that\n",
+"l = 3.5 //in meter\n",
+"b = 4.2 //in meter\n",
+"h = 2.4 //in meter\n",
+"g = 9.8 //in m/s^2\n",
+"//Sample Problem 15-1a\n",
+"printf('**Sample Problem 15-1a**\n')\n",
+"P = 1.0*1.01*10^5 //in N/m^2\n",
+"density_air = 1.21 //in kg/m^3 at 1atm pressure\n",
+"V = l*b*h //Volume of the air\n",
+"W = density_air*V*g //Weight of the air\n",
+"printf('The weight of the air in the room is equal to %fkg\n', W)\n",
+"//Sample Problem 15-1b\n",
+"printf('\n**Sample Problem 15-1b**\n')\n",
+"A = l*b\n",
+"F = P*A\n",
+"printf('The magnitude of atmosphere force on the floor of the room is %eN\n', F)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 15.2: Sample_Problem_2.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Given that\n",
+"deltaP = 9.3*10^3 //in N/m^2\n",
+"density_water = 998 //in kg/m^3\n",
+"g = 9.8 //in m/s^2\n",
+"\n",
+"//Sample Problem 15-2\n",
+"printf('**Sample Problem 15-2**\n')\n",
+"//deltaP = density_water*g*L\n",
+"//therefore\n",
+"L = deltaP/(density_water*g)\n",
+"printf('The diver started at a depth of %fm', L)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 15.3: Sample_Problem_3.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Given that\n",
+"density_water = 998 //in kg/m^3\n",
+"l = 135*10^-3 //in meter\n",
+"d = 12.3*10^-3 //in meter\n",
+"g = 9.8 //in m/s^2\n",
+"\n",
+"//Sample Problem 15-3\n",
+"printf('**Sample Problem 15-3**\n')\n",
+"d_oil = density_water*g*l/(g*(l+d)) //pressure at same height should be same\n",
+"printf('The density of the oil is %fkg/m^3', d_oil)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 15.4: Sample_Problem_4.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Given that\n",
+"density_ice = 917 //in kg/m^3\n",
+"density_seawater = 1024 //in kg/m^3\n",
+"\n",
+"//Sample Problem 15-4\n",
+"printf('**Sample Problem 15-4**\n')\n",
+"//Using archimedies principle\n",
+"//density_seawater*Vs*g = density_ice*Vt*g\n",
+"//fractoin of non-visible part 'f' is\n",
+"f = density_ice/density_seawater //Vs/Vt\n",
+"printf('The fraction of the visible part is equal to %f', (1-f))"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 15.5: Sample_Problem_5.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Given that\n",
+"R = 12.0 //in meter\n",
+"m = 196 //in kg\n",
+"density_He = 0.160 //in kg/m^3\n",
+"density_air = 1.25 //in kg/m^3\n",
+"g = 9.8 //in m/s^2\n",
+"\n",
+"//Sample Problem 15-5\n",
+"printf('**Sample Problem 15-5**\n')\n",
+"Vb = 4/3*%pi*R^3\n",
+"PayLoad = (density_air*Vb*g - (density_He*Vb*g + m*g))/g\n",
+"printf('The maximum mass attached can be %fkg', PayLoad)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 15.6: Sample_Problem_6.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Given that\n",
+"Ao = 3*10^-4 //in m^2\n",
+"Vo = 30*10^-2 //in m/s\n",
+"A = 3*10^-7*10^-4 //in m^2\n",
+"V = 0.05*10^-2 //in m/s\n",
+"\n",
+"//Sample Problem 15-6\n",
+"printf('**Sample Problem 15-6**\n')\n",
+"n = (Ao*Vo)/(A*V)\n",
+"printf('Number of capillaries a person should have %e', n)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 15.7: Sample_Problem_7.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"exec('Bernauli.sci', -1)\n",
+"\n",
+"//Given that\n",
+"Ao = 1.2*10^-4 //in m^2\n",
+"A = 0.35*10^-4 //in m^2\n",
+"h = 45*10^-3 //in m\n",
+"density_water = 998 //in kg/m^3\n",
+"\n",
+"//Sample Problem 15-7\n",
+"printf('**Sample Problem 15-7\n')\n",
+"A = [A, Ao]\n",
+"deltaP = 0 //in N/m^2\n",
+"density = density_water\n",
+"V = fsolve([0,0], Bernauli)\n",
+"FlowRate = A(1)*V(1)\n",
+"printf('The volume flow rate from the tap is equal to %fcm^3/s', FlowRate*10^6)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 15.8: Sample_Problem_8.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"exec('Bernauli.sci', -1)\n",
+"\n",
+"//Given that\n",
+"density_Ethanol = 791 //in kg/m^3\n",
+"A1 = 1.20*10^-3 //in m^2\n",
+"A2 = A1/2\n",
+"//Pressure in narrower section is lesser\n",
+"deltaP = -4120 //in N/m^2\n",
+"\n",
+"//Sample Problem 15-8\n",
+"printf('**Sample Problem 15-8**\n')\n",
+"A = [A1, A2]\n",
+"density = density_Ethanol\n",
+"h = 0\n",
+"V = fsolve([0, 1], Bernauli)\n",
+"printf('The volume flow rate is %e m^3/s', abs(A1*V(1)))"
+ ]
+ }
+],
+"metadata": {
+ "kernelspec": {
+ "display_name": "Scilab",
+ "language": "scilab",
+ "name": "scilab"
+ },
+ "language_info": {
+ "file_extension": ".sce",
+ "help_links": [
+ {
+ "text": "MetaKernel Magics",
+ "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
+ }
+ ],
+ "mimetype": "text/x-octave",
+ "name": "scilab",
+ "version": "0.7.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
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