MeteorologyLektion 14 von 48
14/48Thermodynamics, clouds, fog

Humidity

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Humidity

Humidity describes the water-vapour content of the atmosphere. Crucial for cloud formation, precipitation, visibility, and icing.

Source: WMO Guide to Meteorological Instruments; ICAO Annex 3; AMS Glossary.

Absolute vs relative humidity

TermDefinition
Absolute humidityWater-vapour mass per air volume (g/m³)
Relative humidity (RH)Ratio current humidity / max possible at current temperature (%)
Specific humidityWater-vapour mass per air mass (g/kg)
Mixing ratioWater-vapour mass per dry-air mass (g/kg)

RH alone does not show water amount

Relative humidity cannot be used to determine the actual amount of water which is contained in the air:

  • 100 % RH at 0 °C = ~4.8 g/m³ water.
  • 100 % RH at 30 °C = ~30 g/m³ water — 6× as much as at 0 °C!
  • → RH alone says nothing about actual water content.

Maximum water uptake — temperature-dependent

The maximum possible amount of water vapour air can hold increases with increasing temperature:

  • Warmer air can hold considerably more vapour (roughly doubles per 10 °C).
  • Consequence: tropical hot air can carry a lot of water; polar cold air very little.

Dew point

The dew point is defined as the temperature to which air would have to cool in order for condensation to occur:

  • For given vapour content: constant temperature at which RH = 100 % would be reached.
  • Higher dew point = more vapour.

Spread — T and Td

Spread = temperature − dew point.

  • Small spread = high RH = clouds/fog near.
  • Large spread = low RH = dry air.

When the temperature increases at constant atmospheric pressure and dew point, relative humidity decreases.

The spread (difference between temperature and dew point) usually decreases in ascending air — rising air cools faster (adiabatic -1.0 °C/100 m) than the dew point falls (-0.2 °C/100 m).

Fog formation at spread = 0

Fog forms when the air temperature equals the dew point, resulting in a zero temperature-dew point spread and relative humidity approaching or reaching 100 %, causing water vapour to condense into visible droplets.

Spread and visibility

The reduction of spread causes a reduction of visibility in otherwise unchanged conditions:

  • Spread falls → RH rises → vapour condenses → haze/fog → visibility loss.

Conditions for condensation

Supersaturation and condensation cores are preconditions that have to be met for condensation to occur:

  • Supersaturation: RH > 100 % (briefly, at very fast cooling).
  • Condensation nuclei: small particles (dust, salt, pollen) onto which water molecules attach.
  • Without nuclei, RH can rise to ~400 % before spontaneous condensation — practically never reached in the atmosphere.

Hoar frost via sublimation in cloud-free air

Sublimation of water vapour in cloud-free air can cause formation of hoar frost on an aircraft:

  • On a strongly supercooled aircraft (e.g. after long high-altitude flight) entering more humid, warmer air.
  • Water vapour goes directly to ice (sublimation gas → solid).
  • Result: wings and windshield ice up.

Supercooled aircraft + high-humidity air

When a significantly supercooled aircraft flies into a layer of air with high humidity, airframe icing can also occur in cloud-free air at temperatures above 0 °C.

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