MacEwans Dinflow pump with a $235$ mm impeller, operating at $1450$ rpm$,$ is employed to

transfer water from a tank to a $100,000$ L silo, as shown in the diagram below. The tank$$s water

level is maintained at a constant one meter above the pump level using an overflow and by

regulating the flow of water into the tank.

Section $1$: Water from the tank is conveyed through a $5\mathrm{.}5-$meter$-$long smooth stainless$-$steel tube

$($assuming$,\backslash$epsi $0)$ with an outer diameter of $50$ mm and a wall thickness of $1\mathrm{.}5$ mm$.$ The tube

includes seven $90\backslash$deg smooth elbows $($K $=0\mathrm{.}25)$ as well as three valves $($K $=1)$ before reaching to

the pump.

Section $2$: From the pump, the water passes through $210$ meters of smooth stainless$-$steel tube

$($assuming$,\backslash$epsi $0)$ with an outer diameter of $75$ mm and a wall thickness of $1\mathrm{.}5$ mm$.$ This tube

includes twenty$-$five $90\backslash$deg smooth elbows $($K $=0\mathrm{.}25)$ as well as four valves $($K $=1).$ The water is

directed into the bottom of the silo, with the maximum possible water level being $5$ meters higher

than that of the pump.

$\backslash$rho $=1000$ kg$/$m$3,=1\mathrm{.}5$x$10-3$ kg$/$m$/$s$.$

$(1)$ Draw a system curve on the MacEwans Dinflow chart.

$(2)$ What is the actual flow rate $($Qsys$,$ m$3/$hr$)$ provided by the pump?

$(3)$ What is the pump efficiency $(\%)?$

$(4)$ What is the power consumption $($W $=$ J$/$s$)$ at the actual flow rate?

$(5)$ How much time $($hour$)$ will take to fill the silo with water at the actual flow rate?

Direction: To draw the system curve $(1)$ use flows of $15($hand$-$writing$),20($use MS Excel$),25$

$($use MS Excel$),30($use MS Excel$)$ m$3/$hr to derive the system curve, $(2)$ account for sudden

contraction $($K $=0\mathrm{.}5)$ and expansion $($K $=1\mathrm{.}0)$ effects from the tank and to the silo, respectively.

For a smooth surface,

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