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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 />

t<br />

l.<br />

I'<br />

I<br />

I<br />

t<br />

I<br />

I<br />

I<br />

I<br />

I<br />

I<br />

I<br />

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I

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