Question $3$

i$)$ A single$-$acting reciprocating pump operating at $120$ r$.$p$.$m$.$ has a piston diameter of $200$ mm and stroke of $300$ mm $.$ The suction and delivery heads are $4$ m and $20$ m $,$ respectively. If the efficiency of both suction and delivery strokes is $\backslash (75\backslash \%\backslash ),$ determine the power required by the pump. $(3$ Marks$)$

ii$)$ Water is flowing through a pipe that has diameters $\backslash (600\backslash$mathrm$\{$~mm$\}\backslash$& $400\backslash$mathrm$\{$~mm$\}\backslash )$ at the bottom and the upper end respectively. The intensity of the pressure at the bottom end is $\backslash (350\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}^\{2\}\backslash )$ and the pressure at the upper end is $\backslash (100\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}^\{2\}\backslash ).$ Determine the difference in the datum head if the rate of flow through the pipe is $60$ litres $\backslash (/\backslash$mathrm$\{$sec$\}\backslash ).$ Demonstrate your computation with a sketch. $(8+2$ Mark$)$

iii$)$ Define what a Model and a Prototypes are stating their differences. $(2$ Marks$)$

iv$)$ List the four fundamental quantities including their respective symbols in Dimension Analysis. $(4$ Marks$)$

v$)$ Undertake a dimension Analysis for Velocity. $(1$ Mark$)$

Question $4$

i$)$ A pipe with a diameter $100$ mm and a length of $1$ km is used in the pumping of a fluid with the viscosity of $\backslash (0\mathrm{.}8\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\}^\{2\}\backslash )$ and specific gravity of $0\mathrm{.}92$ at the rate of $\backslash (1\mathrm{.}2\backslash$mathrm$\{$~m$\}^\{3\}/\backslash$mathrm$\{$min$\}\backslash ).$ Determine the Fluid Velocity and the Reynolds Number. State Whether the Flow is Laminar, Transitional or Turbulent. $(5+5+1$ Marks$)$