Design the membrane portion of the membrane bioreactor. $($Given: Q $=269\mathrm{.}33$ m$3/$d$,$ BOD$5=169\mathrm{.}8$ g$/$m$3$ and TSS $=89\mathrm{.}9$ g$/$m$3$ SRT $=5$ days V$=124\mathrm{.}88$ m$^3$ HRT $=11\mathrm{.}13$ hr$).$ You have chosen a Zenon ZW $500$ D system, with an operational flux of $15$ gfd determined through comparative pilot testing between different available systems as your membrane system. The operational strategy you want to use is $12$ min operation followed by $2$ min relax. Also you want a recirculation rate of $4$ times the permeate flow rate. Calculate the following:

$($i$)$ Calculate the actual design flux $($in gfd$)$ based on your operational strategy.

$($ii$)$ Calculate the membrane area $($ft$2).$ Calculate the number of modules needed.

How many would you actually use? Based on the above calculate the actual operational flux $($in gfd$)$

$($iii$)$ Calculate the recirculation rate?

$($iv$)$ Contrary to the example discussed in class, larger submerged systems like Zenon$$s system actually do not have a separate membrane tank, They are actually immersed into and form a part of the bioreactor. Do you have enough space in your bioreactor to fit all your modules? If not what would you do$?$