Question $2$

i$)$ A single$-$acting reciprocating pump, running at $\backslash (100\backslash$mathrm$\{$r$\}.\backslash$mathrm$\{$p$\}.\backslash$mathrm$\{$m$\}\backslash ).$ delivers $\backslash (0\mathrm{.}01472\backslash$mathrm$\{$~m$\}3/\backslash$mathrm$\{$s$\}\backslash )$ of water. The diameter of the piston is $400$ mm and stroke length $600$ mm $.$ The suction and delivery heads are $7$ m and $23$ m $,$ respectively. Determine:

Department of Civil Engineering

$($a$)$ Theoretical discharge, $($b$)$ Co$-$efficient of discharge, $($c$)$ Percentage slip of the pump, and $($d$)$ Power required to run the pump. $(4$ Marks$)$

ii$)$ Water is flowing through a pipe that tapers with diameters of $\backslash (300\backslash$mathrm$\{$~mm$\}\backslash$& $\mathrm{.}150\backslash$mathrm$\{$~mm$\}\backslash )$ at sections $1$ and $2,$ respectively. Given the discharge through the pipe is $40$ litres $\backslash (/\backslash$mathrm$\{$sec$\}\backslash )$ and the sections $1$ and $2$ are $10$ m and $6$ m above the datum, respectively, find the pressure at section $2$ if the pressure at section $1$ is $\backslash (400\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}^\{2\}\backslash ).$ Demonstrate your computation with the sketch. $(\backslash (7+2\backslash )$ Marks$)$

iii$)$ A fluid flowing through the pipe has a density of $\backslash (1,500\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash ).$ The fluid enters the pipe that has a uniform diameter of $450$ mm with a total pipe length of $3000$ mm at a fluid velocity of $\backslash (2\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ Assuming minor losses, determine the flow through the pipe and the mass of the fluid. $(\backslash (2+2\backslash )$ Marks$)$

iv$)$ Assuming this flow was in an open channel and in your computation, the Reynolds Number of the flow is found to be $4500,$ what type of flow would this be$?(1$ Mark$)$

v$)$ You are a Design Engineer assessing a water supply system at Mulungushi University that is characterized by a series of events leading to water hammer. Name two possible recommendations you would make to mitigate water hammer. $(2$ Marks$)$