A vertical pipe is filled with granular solids with a hydraulic radius of $0\mathrm{.}05$mm such that the final porosity is $0\mathrm{.}35.$ If the pipe is $1$m long and $20$cm wide, when water is flown through it$,$ calculate the mass flow rate, Reynolds number, and friction factor. Assume for this problem that there is no pressure drop or velocity change across the pipe. If a tank of water is added on top of the pipe with a layer of $0\mathrm{.}25$m deep water, what is the new Reynolds number, mass flow rate, and friction factor across the system?