QuirkScience

Where Is the Biggest Waterfall in the World?

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Season 2: the deep ocean · Posted ·

The short answer

Underwater, between Greenland and Iceland. The Denmark Strait cataract is the largest waterfall on Earth by flow and by height. It carries more than 1,000 times the water of Niagara Falls and slides more than 2 km down a slope under the sea. You can't see it, because it's water falling through water.

Cataract is an old word for a big waterfall. The eye condition shares the name.

How water falls through water

Cold water is denser than warm water. The water coming from the Arctic side of the strait is colder than the Atlantic water around it. So it sinks and slides underneath. It pours over an undersea ridge about 610 m (2,000 ft) below the surface and runs down the slope to about 3,048 m (10,000 ft). That's a drop of roughly 2,400 m (8,000 ft).

The sea surface above it stays flat. Without scientific instruments, nobody would know the cataract is there. Scientists measure it with current meters moored on the sea floor and with surveys from ships.

Slow, but enormous

At the ridge, the cataract carries about 3.2 to 3.5 million cubic meters of water a second. In daylight during the tourist season, at least 2,832 cubic meters (100,000 cubic feet) a second must go over Niagara Falls. Divide one by the other and the cataract works out to about 1,130 to 1,250 Niagaras.

It isn't fast, though. Changes in its water take about 13 days to travel 500 km downstream from the ridge. That's roughly 0.45 m a second, slower than walking pace. A drop going over Niagara's Horseshoe Falls falls 57 m (188 ft) in about 3.4 seconds.

That's the trick behind the race in the film. Each second, the cataract moves more than 1,000 times as much water as Niagara. So whatever lake the two race to empty, the cataract needs less than a thousandth of Niagara's time. Niagara's more than 5 years for Lake Erie becomes the cataract's under 2 days.

The dimmer and the missing off switch

The 1950 Niagara Treaty sets how much water must go over the falls. In daylight during the tourist season, it's at least 2,832 cubic meters (100,000 cubic feet) a second. At night, and outside the tourist season, it's half that: 1,416 cubic meters (50,000 cubic feet) a second. Water above those minimums can go through tunnels to power stations on both sides of the border.

The cataract has no switch. Moored instruments at the ridge have measured it since 1996. From 1996 to 2016 it averaged about 3.2 million cubic meters a second, with no significant trend.

Key numbers

WhatNumberSource
Depth of the cataract, from the top of the ridge to the bottom of the slopeabout 610 m (2,000 ft) down to about 3,048 m (10,000 ft)NOAA Ocean Service, Where is Earth's largest waterfall?
Height of the dropabout 2,400 m (8,000 ft), more than 2 kmOur arithmetic from NOAA Ocean Service, Where is Earth's largest waterfall?
Average flow at the ridge, 1996 to 2016, from moored instrumentsabout 3.2 million m³ a second, no significant trendJochumsen et al. 2017, JGR Oceans
Average flow at the ridge from ship surveys, 1993 to 2018about 3.54 million m³ a secondLin et al. 2020, Journal of Physical Oceanography
Minimum flow over Niagara Falls, daylight in the tourist season2,832 m³ (100,000 cubic feet) a secondNiagara Parks, Niagara Falls geology facts and figures
Minimum flow over Niagara Falls, at night and outside the tourist season1,416 m³ (50,000 cubic feet) a secondNiagara Parks, Niagara Falls geology facts and figures
The cataract's flow measured in Niagarasabout 1,130 to 1,250Our arithmetic from Jochumsen et al. 2017, JGR Oceans; Lin et al. 2020, Journal of Physical Oceanography; Niagara Parks, Niagara Falls geology facts and figures
Drop of the Horseshoe Falls, and the time to fall it57 m (188 ft), about 3.4 secondsOur arithmetic from Niagara Parks, Niagara Falls geology facts and figures
Time for changes in the cataract's water to travel 500 km downstreamabout 13 daysJochumsen et al. 2015, JGR Oceans
Speed at which those changes travel downstreamabout 0.45 m a secondOur arithmetic from Jochumsen et al. 2015, JGR Oceans

What the film simplifies

At a glance

Runtime 1 minute 6 seconds · Topics: Ocean currents, Density, Waterfalls · Captions on YouTube · Full script below

Test yourself

  1. How can water fall through water?

    Answer

    Cold water is denser than warm water. The colder water from the Arctic side sinks under the warmer Atlantic water and slides down the slope beneath it.

  2. The cataract carries about 3.2 million cubic meters of water a second. Niagara's minimum in daylight during the tourist season is 2,832 cubic meters a second. About how many Niagaras is the cataract?

    Answer

    About 1,130, which is why the film says more than 1,000.

  3. The cataract's water moves slower than you walk. How can it still empty Lake Erie in under 2 days when Niagara needs more than 5 years?

    Answer

    Speed isn't the same as flow. The cataract is so big that even at about 0.45 m a second it moves more than 1,000 times as much water each second as Niagara.

The script

The Underwater Falls: Mine. I'm the biggest waterfall on Earth!

Niagara Falls: Pal, I'm Niagara Falls. Nobody can see you!

The Underwater Falls: I'm right here! Denmark Strait, between Greenland and Iceland.

Niagara Falls: I see flat water. And a seagull.

The Underwater Falls: It's sitting right over me!

The Underwater Falls: Colder than your fridge. So I sink!

Host: He slides under the warmer water.

The Underwater Falls: More than 2 kilometers down.

Host: Water falling through water. You can't even see it.

The Underwater Falls: Then use a thermometer, genius!

Niagara Falls: 3 seconds, top to bottom!

The Underwater Falls: ...Weeks.

Niagara Falls: Folks, you walk faster than that!

The Underwater Falls: Race you! Who empties Lake Erie first?

Niagara Falls: My own lake?

Host: Niagara Falls would need more than 5 years.

The Underwater Falls: Done in under 2 days!

Host: Slow, but enormous. That's more than 1,000 Niagaras.

Niagara Falls: Still, I'm the show. Day and night!

Host: At night, by treaty, Niagara's water gets turned down. By half.

The Underwater Falls: Ha! A dimmer? Nobody turns me down!

Niagara Falls: Ponchos. Half price, folks.

Sources

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