A simple two gate $+$ runner system $($Error$!$ Reference source not found.$)$ is configured so that the lengths of the two runners from the sprue $($triangle$)$ are not equal, but the parts $($circles$)$ at either end are the same $($T$-$bracket$).$ Determine the runner diameters such that the parts fill equally. Assume a Newtonian flow through a round channel $\backslash ($ Q$=\backslash$frac$\{\backslash$pi$^\{2\}\}\{8*\backslash$Sigma$\}\backslash ).$ If necessary, assume a melt viscosity of $350$ Pas $.$