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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 10: Miscellaneous Problems"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.10: example_10.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"\n",
+"clc \n",
+"//initialisation of variables\n",
+"g= 32.2 //ft/sec^2\n",
+"sct= 1.6\n",
+"sl= 0.8\n",
+"K= 0.98\n",
+"dh1= 4 //ft\n",
+"W= 62.4 //lbs/ft^3\n",
+"d1= 8 //in\n",
+"d2= 6 //in\n",
+"//CALCULATIONS\n",
+"dp= dh1*((sct/sl)-1)\n",
+"C= sqrt(2*g)*%pi*(d1/24)^2 /sqrt((d1^2/d2^2)^2 -1)\n",
+"Q= C*K*sqrt(dh1)\n",
+"//RESULTS\n",
+"printf ('Discharge passing through the pipe= %.1f cuses ',Q)\n",
+"//The answer given in textbook is wrong. Please verify it."
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.1: example_1.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc \n",
+"//initialisation of variables\n",
+"w= 62.4 //lb/ft^3\n",
+"x=8 //ft\n",
+"A= 16 //ft^2\n",
+"X= 2.5 //ft\n",
+"X1= 0.66 //ft\n",
+"x1= 3.834 //ft\n",
+"x2= 2.182 //ft\n",
+"//CALCULATIONS\n",
+"P= w*x*A\n",
+"y= A/3\n",
+"P1= w*x*A*0.5*X1\n",
+"R= sqrt(P1^2+P^2)\n",
+"m= P1/P\n",
+"X2= x1-x2\n",
+"C= ((2/3)*A)-m*X\n",
+"Y= m*X2+ C\n",
+"//RESULTS\n",
+"printf ('Water pressure on vertical face = %.f lbs',P)\n",
+"printf ('\n pressure which acts at the base = %.2f ft',y)\n",
+"printf ('\n Resultant = %.f lbs',R)\n",
+"printf ('\n x coordinate of the resultant = %.3f ft',X2)\n",
+"printf ('\n y coordinate of the resultant = %.3f ft',Y)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.2: chapter_10_example_2.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc \n",
+"//initialisation of variables\n",
+"s= 13.6\n",
+"h= 12 //in\n",
+"u= 0.04\n",
+"k= 1\n",
+"d= 6 //in\n",
+"g= 32.2 //ft/sec^2\n",
+"w= 62.4 //lbs/ft^3\n",
+"//CALCULATIONS\n",
+"h1= h*(s-1)/12\n",
+"hf= u*h1\n",
+"hn= h1-hf\n",
+"Q= k*(%pi*(d/12)^2)*sqrt(2*g)*sqrt(hn)*w*60/(10*4*sqrt(15))\n",
+"//RESULTS\n",
+"printf ('discharge through flow= %.f ft G.P.M',Q)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.3: chapter_10_example_3.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc \n",
+"//initialisation of variables\n",
+"za= 16 //ft\n",
+"h1= 2 //ft\n",
+"h2= 3 //ft\n",
+"g= 32.2 //ft/sec^2\n",
+"//CALCULATIONS\n",
+"vc= sqrt(2*g*(za-h1-h2))\n",
+"vb= vc*(h1/(2*h1))^2\n",
+"r= -h1-h2-(vb^2/(2*g))\n",
+"r1= r+34\n",
+"//RESULTS\n",
+"printf ('pressure head at B= %.1f ft lb',r1)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.4: chapter_10_example_4.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc \n",
+"//initialisation of variables\n",
+"g= 32.2 //ft/sec^2\n",
+"Cd= 0.62\n",
+"a= 90 //degrees\n",
+"H1= 14 //in\n",
+"H2= 8 //in\n",
+"//CALCULATIONS\n",
+"Q1= (8/15)*Cd*sqrt(2*g)*tand(a/2)*(H1/12)^(5/2)\n",
+"Q2= (8/15)*Cd*sqrt(2*g)*tand(a/2)*(H2/12)\n",
+"Q= Q1-Q2\n",
+"//RESULTS\n",
+"printf ('Discharge through notch= %.2f cuses',Q)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.5: example_5.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc \n",
+"//initialisation of variables\n",
+"g= 32.2 //ft/sec^2\n",
+"Cd= 0.62\n",
+"d= 5/4 //in\n",
+"h= 9 //ft\n",
+"//CALCULATIONS\n",
+"T= (2/3)*%pi*(h)^(3/2)/(Cd*(%pi/4)*sqrt(2*g)*(d/12)^2)\n",
+"//RESULTS\n",
+"printf ('time required to lower water level= %.f secs',T)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.6: chapter_10_example_6.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"clc \n",
+"//initialisation of variables\n",
+"a= 60 //degrees\n",
+"d= 4 //in\n",
+"Cd= 0.62\n",
+"h= 5 //ft\n",
+"w= 30 //ft\n",
+"g= 32.2 //ft/sec^2\n",
+"//CALCULATIONS\n",
+"H1= 10*sind(a)\n",
+"H2= H1-h\n",
+"T= (2*w/tand(a))*(2/3)*(H1^(3/2)-H2^(3/2))/(Cd*sqrt(2*g)*%pi/(4*(d/12)^2))*100\n",
+"//RESULTS\n",
+"printf ('time required to lower water level= %.f secs',T)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.7: chapter_10_example_7.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"clc \n",
+"//initialisation of variables\n",
+"p1= 40 //percent\n",
+"p2= 35 //percent\n",
+"dh= 200 //ft\n",
+"f= 0.1\n",
+"g= 32.2 //ft/sec^2\n",
+"l= 2000 //ft\n",
+"d= 1 //ft\n",
+"//CALCULATIONS\n",
+"hf1= p1*dh/100\n",
+"hf2= p2*dh/100\n",
+"hf3= (100-p1-p2)*dh/100\n",
+"hft= hf1+hf2+hf3\n",
+"v1= sqrt(2*g*hf1/(4*f*l))\n",
+"Q= v1*%pi*d^2/4\n",
+"d2= (Q*7*sqrt(3/(5*g)))^(2/3)\n",
+"v3= Q*4*(4/3)^2/%pi\n",
+"l3= hf2*2*g*(3/4)/(4*f*v3^2)\n",
+"//RESULTS\n",
+"printf ('proportion of the quantity folwing in the bypass to the whole pass= %.f ft',l3)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.8: chapter_10_example_8.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc \n",
+"//initialisation of variables\n",
+"d= 1 //ft\n",
+"l= 2000 //ft\n",
+"f= 0.038\n",
+"g= 32.2 ///ft/sec^2\n",
+"Q= 6 //cuses\n",
+"l1= 1500 //ft\n",
+"r= 2\n",
+"//CALCULATIONS\n",
+"v= 4*Q/(d^2*%pi)\n",
+"hf= 4*f*l*v^2/(2*g)\n",
+"v1= sqrt(hf*2*g/(4*f*l1+4*f*(l-l1)*r^2))\n",
+"v3= r*v1\n",
+"Q1= %pi*d^2*v3/4\n",
+"Q2= %pi*d^2*v1/4\n",
+"r1= Q2/Q1\n",
+"//RESULTS\n",
+"printf ('proportion of the quantity folwing in the bypass to the whole pass= %.1f ',r1)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 10.9: example_9.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc \n",
+"//initialisation of variables\n",
+"f= 0.01\n",
+"d= 3 //in\n",
+"l= 22 //ft\n",
+"l1= 20 //ft\n",
+"w= 20 //ft\n",
+"h= 5 //ft\n",
+"h1= 20 //ft\n",
+"t= 4 //min\n",
+"g= 32.2 //ft/sec^2\n",
+"//CALCULATIONS\n",
+"h2= h+h1\n",
+"h3= (h-(t*60*%pi*sqrt(2*g/h)/(l1*w*2*64)))^2-4\n",
+"dh= h2-h3\n",
+"Q= dh*l1*w\n",
+"//RESULTS\n",
+"printf ('Quantiy discharged= %.f cuses ',Q)"
+ ]
+ }
+],
+"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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