Problem $2$

Water $(60F)$ is running through Schedule$-80$ PVC pipe whose size changes gradually from $6-$in nominal at Point A $($elevation: $40$ ft $)$ to $12-in$ nominal at Point B $($elevation: $60$ ft $).$ The pressure at Point $A$ is measured as $15$ psi $($absolute$),$ and the pressure at Point B is measured as $10$ psi $($absolute$).$ All the minor and frictional losses are negligible. No pumps or turbines are between Point A and Point B$.$ What is the direction of the flow? What is the flow rate $($in $f\frac{t^3}{s})?$ Use the following table as your reference.

$\backslash$table$[[$NOMINAL PIPESIZE,PIPE SCHEDULES & WEIGHTS$],[,$SCHEDULE $40,$SCHEDULE $80],[\backslash$table$[[$OUTSIDE$],[$DIAMEIER$]],$Wall Thick.,$\backslash$table$[[$Wt$.],[$Per Ft$.]],$Wall Thick.,Weight Per Ft$.],[\frac{1}{8},0\mathrm{.}405,0\mathrm{.}068,0\mathrm{.}245,0\mathrm{.}095,],[\frac{1}{4},0\mathrm{.}540,0\mathrm{.}088,0\mathrm{.}425,0\mathrm{.}119,0\mathrm{.}535],[\frac{3}{8},0\mathrm{.}675,0\mathrm{.}091,0\mathrm{.}568,0\mathrm{.}126,0\mathrm{.}739],[\frac{1}{2},0\mathrm{.}840,0\mathrm{.}109,0\mathrm{.}851,0\mathrm{.}147,1\mathrm{.}088],[3/4,1\mathrm{.}050,0\mathrm{.}113,1\mathrm{.}131,0\mathrm{.}154,1\mathrm{.}474],[1,1\mathrm{.}315,0\mathrm{.}133,1\mathrm{.}679,0\mathrm{.}179,2\mathrm{.}172],[1-1/4,1\mathrm{.}660,0\mathrm{.}140,2\mathrm{.}273,0\mathrm{.}191,2\mathrm{.}997],[1-1/2,1\mathrm{.}900,0\mathrm{.}145,2\mathrm{.}718,0\mathrm{.}200,3\mathrm{.}631],[2-1/2,2\mathrm{.}375,0\mathrm{.}154,3\mathrm{.}653,0\mathrm{.}218,5\mathrm{.}022],[2-1/2,28753\mathrm{.}500,0\mathrm{.}203,5\mathrm{.}793,0\mathrm{.}275,7\mathrm{.}661],[3-1/2,4\mathrm{.}000,0\mathrm{.}226,7\mathrm{.}5769\mathrm{.}109,0\mathrm{.}300,10\mathrm{.}250],[4,4\mathrm{.}500,0\mathrm{.}237,10\mathrm{.}790,0\mathrm{.}318,12\mathrm{.}510],[5,5\mathrm{.}563,0\mathrm{.}258,14\mathrm{.}620,0\mathrm{.}375,14\mathrm{.}98020\mathrm{.}780],[8,6\mathrm{.}625,0\mathrm{.}280,18\mathrm{.}970,0\mathrm{.}432,28\mathrm{.}570],[810,8\mathrm{.}62510\mathrm{.}750,0\mathrm{.}322,28\mathrm{.}550,0\mathrm{.}500,43\mathrm{.}390],[12,12\mathrm{.}750,0\mathrm{.}3650\mathrm{.}375,40\mathrm{.}480,0\mathrm{.}500,54\mathrm{.}740],[,,0\mathrm{.}375,49\mathrm{.}560,0\mathrm{.}500,65\mathrm{.}420]]$