Question

Which of the following statement is true for the linear reservoir?

• A. Storage is proportional to inflow discharge
• B. Storage is proportional to outflow discharge
• C. Storage is proportional to square of inflow discharge
• D. Storage is proportional to square of outflow discharge

Answer 1

The correct option is B Storage is proportional to outflow discharge

For the linear reservoir, storage varies linearly with the outflow discharge.
By Muskingum equation.
$S=k[x{I}^m+(1-x\left)Q^m\right]$
$\text{where,}S=\text{Storage of channel}$
$I=\text{Inflow rate}$
$Q=\text{Outflow rate}$
$m=0.6\text{(for artificial rectangular channel)}$
$=1\text{(for natural channel)}$
For natural channel,
$S=k[xI+(1-x\left)Q\right]$
where,
$x=\text{Weightage factor which ranges from 0 to 0.5.}$
$\text{For}x=0,$
$S=f\left(Q\right)$

Such a storage is known as linear storage or linear reservoir (or reservoir type storage) in which storage is only function of outflow discharge.
Note: Linear channel: The channels in which inflow hydrograph passes through a reach with only translation and no attenuation.