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4. VARIABL! K MUSKINGUM<br />
Introduced because nonllnear reservoi! seens to peak<br />
catchnentg. Therefote some translatlon requlr€d!<br />
Storage Equatlon: S=K(eI + {t-€)Q<br />
_ _ r_Q<br />
The Iagtine K is assuned to vary with the outflow in<br />
3 paramete. nodel: c, n, e<br />
vhere e governs degree of translaCion, n<br />
NB/NoN-LINEAR RESERVOIR is a speclal case<br />
5. NASH CASCADE<br />
6,<br />
early for Blltish<br />
the follo$rlng<br />
governs degree<br />
non-IinearllY<br />
\rithn=_n<br />
and a=O<br />
2 par:aneter linear model. storage routing throuqh n equal tinear<br />
reservoirs each with rouling constant equal to K.<br />
t-ag time of resPonse = nK<br />
The lrnpulse lesponse of the Nash nodel is!<br />
= *h<br />
.-tlk<br />
(./r) n-I<br />
wbere f(n) is che garuna function of n<br />
NON-LINEAR RESERVOIR WITH TIME LAC<br />
storage Equation : s<br />
Continuity Equation:<br />
3 paraneter nodel :<br />
Advantaqes are a)<br />
b)<br />
dt<br />
easier to program than<br />
of<br />
non-linear reservoir<br />
introduces some elerDent. of translatlon<br />
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