Problem $8\mathrm{.}15$

The following hydrographs $(f\frac{t^3}{s})$ are for the upstream $(I)$ and downstream $(O)$ sections of a river. Estimate the routing coefficient $C$ of the Convex Routing method.

$\backslash$table$[[I(f\frac{t^3}{s}),0,210,530,840,920,870,610,380,190,80,40,20],[O(f\frac{t^3}{s}),0,10,90,230,480,620,710,690,540,440,270,190]]$

Problem $8\mathrm{.}19$

Route the hydrograph of Problem $8\mathrm{.}10$ using the Muskingum method with $x=0\mathrm{.}25,K=0\mathrm{.}75,$ and $t=0\mathrm{.}25.$ Assume that the initial discharge at the downstream section is $0f\frac{t^3}{s}.$

"Referencing $8\mathrm{.}10"$

Problem $8\mathrm{.}10$

Assuming that $C=0\mathrm{.}25,$ compute the downstream hydrograph using the Convex method for the following upstream hydrograph: $(0,12,27,56,53,47,38,23,15,8,4,0)f\frac{t^3}{s}.$ Assume that the initial discharge at the downstream section is $0f\frac{t^3}{s}.$

Problem $8\mathrm{.}22$

Assuming a routing time increment, $t,$ of $15$ minutes, determine values of the routing coefficients $x$ and $K$ for the Muskingum method and the hydrographs of Problem $8\mathrm{.}15.$

Problem $8\mathrm{.}30$

A surface$-$storage facility has a rectangular bottom