The amount of heat that can be dissipated by evaporating water is kind of incredible.
(It's obviously not a meltdown situation!)
The reaction can be slowed with control rods, which stops/minimizes the heat from being generated. The previously generated heat still needs to be handled, however (by evaporation).
https://en.wikipedia.org/wiki/Nuclear_reactor
A meltdown occurs when the reaction can't be slowed down through normal means because the safety systems fail.
For example, Fukushima and Chernobyl:
https://en.wikipedia.org/wiki/Fukushima_nuclear_accident
https://en.wikipedia.org/wiki/Chernobyl_disaster
However, those safety systems are obviously designed expressly to prevent such a disaster. For example, control rod systems are often designed to be fall (via gravity) into the reactor in the event power fails. These failsafe systems are typically very reliable, in the absence of other external events (such as the flooding and earthquake that took place in Fukashima.)
Also, nuclear poisons (neutron absorbers) build up after the reactor is shut down. After the control rods are withdrawn it takes a few days for the poisons to be burned up and the reactor can resume power production. I think they call that poisoning out the reactor.
From the RISKS archives:
"A fail-safe system fails by failing to fail safe."
If the turbines are 50% efficient, then the heat load on the cooling towers would double, which I have to assume is WELL within design limits.
You have made me wonder about turbine overspeed and steam bypass.