Question $2$

a$)$ Given a triangular $1-$hr UH with

TB $=12hr($time base of the UH$)$

$TR=4hr($time of rise$)$

$QP=200cfs($peak flow$)$

Develop a storm hydrograph for hourly rainfall $($in$)$ of $P=[0\mathrm{.}1,0\mathrm{.}5,1\mathrm{.}2].$

b$)$ Repeat the above problem for hourly rainfall $($in$)$ of $P=[0\mathrm{.}2,1\mathrm{.}0,2\mathrm{.}4].$

Hint

In Question $2,$ use the given parameters to plot the triangular hydrograph.

Use the triangular hydrograph to get ordinates $($UH$)$

Use the given Pn values and the UH ordinates from above in Convolution method to get the $Q$ values.

Repeat the same process with the other set of given $Pn$ and calculate the new $Q$ values $*$ Compare the $2Q$ values.

$3$ values are given, $Qp$ is your peak flow value that happens at TR$.$ TB is when flow value is zero again. Basically, you will need to create a triangular graph like Question $1,$ with $(0,0),($TR$,$ QP$)$ and $($TB$,0).$ Once you have the graph, you can follow the steps you did in Question $1$ and extract your UH values from the graph, multiply Pn by UH and lag as needed and get your total Q values. Keep in mind that in Part b$,$ you have a new set of Pn values but the UH values stays the same as Part a$.$ Repeat the Pn $($new values$)$ multiplied by UH$,$ lag and calculate the Q$.$

For both questionfy, once you have the final Q values, plot it against time to have a hydrograph.