Mini WorldLaplace Plate 30 — Clouds and Rain

Plate 30 · Sky

Why Clouds Don’t Fall

A fluffy cumulus cloud holds hundreds of tonnes of water, yet there it floats. Not because water is lighter than air, but because its droplets are so tiny they hardly fall at all.

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01

Hundreds of Tonnes of Fluff

In a cumulus cloud a kilometre on each side, every cubic metre of air holds about half a gram of liquid water. Altogether that is about 500 tonnes — as much as a hundred elephants.

That water is split into countless droplets, each a few hundredths of a millimetre across, far smaller than the width of a hair.

A cumulus cloud, schematic · droplets enlarged thousands of times

02

A Very Slow Fall

The smaller a droplet, the more the air holds it back for its size. A cloud droplet 0.02 millimetres across falls through still air at only about a centimetre a second.

The rising air beneath a cumulus cloud moves tens of centimetres, even metres, a second. The droplets can’t fall out of it; they are carried upward. Even in perfectly still air, a droplet would need nearly a day to fall a kilometre, and any that drift out of the cloud’s base evaporate. So the cloud stays aloft.

03

A Million Into One

For rain, the droplets have to grow. Tossed up and down inside the cloud, they bump into each other and merge, getting bigger and bigger. A raindrop 2 millimetres across takes about a million cloud droplets.

Once a drop is too big for the rising air to hold, it falls: a 2-millimetre raindrop falls at about 6.5 metres a second.

Raindrop fall speeds: Gunn & Kinzer (1949)

04

Raindrops Aren’t Teardrop-Shaped

Pictures often show raindrops pointed at the top and round at the bottom, but real ones aren’t. Small raindrops are round; big ones are squashed by the air rushing past, flat underneath, like a little hamburger bun.

Bigger still, a drop is blown into a bag shape and breaks into smaller ones. Between flattening and breaking apart, raindrops never fall much faster than about 9 metres a second, however hard it rains.

05

Your Turn

Change the size of a drop and see how fast it falls and how its shape changes. Then change the rising air and see whether the drop is held up or falls as rain.

Try thisTurn the rising air up to 5 m/s: how big must a drop be to fall?

What the model leaves out

Cloud droplets fall at speeds given by Stokes’s law; raindrops by the speeds Gunn and Kinzer measured in still air. In a real cloud the air speeds up, slows down and swirls, and many raindrops evaporate on the way down. In cold clouds, rain often starts as ice crystals that grow, fall and melt on the way down, which isn’t shown here.

A common misreading

Clouds are not water vapour. Water vapour is an invisible gas; the white cloud you see is made of countless tiny droplets or ice crystals. And the water in a cloud is not lighter than air: each droplet is about 800 times denser and does sink, just very slowly — so slowly that rising air easily holds it up.

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