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Station blackout at Browns Ferry Unit One - Oak Ridge National ...

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20<br />

the steam dryers to the steam dome. The n<strong>at</strong>ural circul<strong>at</strong>ion r<strong>at</strong>e is de<br />

pendent on a number of variables including: w<strong>at</strong>er level in the downcomer<br />

annulus, w<strong>at</strong>er-steam level above the core, core steaming r<strong>at</strong>e, and density<br />

of the w<strong>at</strong>er-steam mixture in and above the core. <strong>One</strong> phenomenon th<strong>at</strong><br />

makes the calcul<strong>at</strong>ion more difficult is th<strong>at</strong> when w<strong>at</strong>er level gets low<br />

enough the recircul<strong>at</strong>ion of w<strong>at</strong>er from the steam separ<strong>at</strong>ors ceases and<br />

w<strong>at</strong>er flows from the downcomer annulus only as required to counter-balance<br />

w<strong>at</strong>er lost by boil-off from the core.<br />

The equ<strong>at</strong>ion used to calcul<strong>at</strong>e core inlet flow is:<br />

where<br />

KfWci2 = Pdc*Ldc - Ptp * Ltp<br />

Kf = empirically determined friction coefficient<br />

wci = core inlet tiow<br />

Pdc = downcomer w<strong>at</strong>er density<br />

Ldc = downcomer w<strong>at</strong>er level (ref. to zero <strong>at</strong> bottom of active<br />

fuel)<br />

Jt = elev<strong>at</strong>ion-averaged density of w<strong>at</strong>er-steam mixture in and<br />

above core<br />

LtD = level of steam-w<strong>at</strong>er mixture above bottom of active fuel.<br />

The value of the friction coefficient, Kf, was calcul<strong>at</strong>ed from the<br />

n<strong>at</strong>ural circul<strong>at</strong>ion curve on Fig. 3.7-1 of the BFNP FSAR by forcing agree<br />

ment with the predictions of this equ<strong>at</strong>ion <strong>at</strong> the 30% thermal power point.<br />

This procedure resulted in a reasonably good approxim<strong>at</strong>ion of the flow <strong>at</strong><br />

other points, as shown on Fig. 4.1. _<br />

The r<strong>at</strong>e of recircul<strong>at</strong>ion of w<strong>at</strong>er back to the downcomer annulus is<br />

calcul<strong>at</strong>ed as a function of the w<strong>at</strong>er-steam mixture level in the steam<br />

separ<strong>at</strong>ors:<br />

where<br />

wrecir = * f

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