$13$:$57$

Homework$-4(1).$docx

Homework # $4$

d by a $4ft$ wide rectangular weir. The e the channel basement. The minimum and maximum water depths in the weir are measured as $0\mathrm{.}4ft$ and $2ft,$ respectively. Calculate the minimum and maximum flowrates for a contracted rectangular weir with the length of $2ft.$

$($Note: Consider the relation between and, and choose appropriate equation to calculate the flowrate$).$

$\frac{B}{b}=2ft=2ft=4ft$

$p=0\mathrm{.}4$ and $2ft$

$p=2\mathrm{.}5ft$

$2-$ Calculate the required mass flow rate of the geothermal reservoir for a residential heating system having $4000$ residence.

Additional Data : $UA=1000k\frac{J}{h}-C,HD{D}_y=4320C-$day$/$year$,T_{in}=90C,T_{\text{o}\text{u}\text{t}}=60C$

$3-$ A geothermal well has a $304\mathrm{.}8mm$ inner diameter steam line with an orifice plate installed to measure the steam flow rate. The throat diameter of the orifice plate is $238\mathrm{.}1mm.$ The upstream oirifce plate pressure reads $2\mathrm{.}41$ bara with a pressure differential of $0\mathrm{.}032157$ bar. Calculate the steam flowrate in $k\frac{g}{s}.($Use $6$ signicant digits in your calculations$).$

Additional Data:

Density of saturated steam at $2\mathrm{.}41$ bara $=1\mathrm{.}344250k\frac{g}{m}3$

Viscosity of saturated steam at $2\mathrm{.}41$ bara $=1\mathrm{.}31705{10}^{-5}Pa-s$

Isentropic component $=1\mathrm{.}31$