Atmospheric Stability, Lapse Rates & Adiabatic Processes — Summary Notes
1. Adiabatic Process
An adiabatic process is a temperature change in an air parcel caused by expansion or compression without external heat exchange.
Rising air
- Atmospheric pressure decreases with height.
- The air parcel expands.
- Expansion causes adiabatic cooling.
- No heat is exchanged with the surrounding atmosphere.
Descending air
- Atmospheric pressure increases.
- The parcel is compressed.
- Compression causes adiabatic warming.
- No external heat is added.
Memory:
Rising → Expansion → Cooling
Descending → Compression → Warming
2. Lapse Rates — The Three Rates You Must Know
| Rate | Meaning | Typical value |
|---|---|---|
| ELR | Actual temperature decrease of surrounding atmosphere | Variable |
| DALR | Rate for rising/descending unsaturated air | 1°C/100 m = 10°C/km = 3°C/1000 ft |
| SALR | Rate for rising/descending saturated air | ≈0.6°C/100 m ≈ 5–6°C/km |
Most important distinction
- ELR = actual atmosphere
- DALR = theoretical rate for dry/unsaturated parcel
- SALR = rate for saturated parcel
The ELR is variable and represents the actual temperature profile of the surrounding atmosphere.
3. Dry Adiabatic Lapse Rate — DALR
The DALR is the rate at which an unsaturated air parcel:
- Cools while rising.
- Warms while descending.
Value
DALR = 1°C/100 m
Equivalent:
- 10°C/km
- 3°C/1000 ft
The DALR is constant, regardless of the parcel’s pressure or temperature.
Why?
Unsaturated air has no condensation releasing latent heat, so its temperature changes at the fixed dry adiabatic rate.
4. Saturated Adiabatic Lapse Rate — SALR
The SALR applies to a saturated air parcel.
It is slower than DALR because condensation releases latent heat, which offsets some of the cooling caused by expansion.
Typical values in the source
Approximately:
- 0.6°C/100 m
- 1.5–1.8°C/1000 ft
- ≈5–6°C/km
Important
SALR is not constant.
It varies with:
- Temperature
- Moisture content
Warm, moist air
More water vapour → more latent heat released → SALR considerably lower than DALR.
Very cold air
At approximately −40°C, very little water vapour is present.
Therefore:
- Little condensation/sublimation
- Little latent heat release
- SALR approaches DALR
5. Why Saturated Air Cools More Slowly
When saturated air rises:
Expansion → cooling → condensation → latent heat release
The released latent heat partly offsets the cooling.
Therefore:
SALR < DALR
This is the fundamental reason saturated air cools more slowly than unsaturated air.
6. Saturated Air During Descent
When saturated air descends:
Compression → warming
But if liquid droplets are present:
Warming → evaporation → latent heat absorbed
Evaporation absorbs heat and therefore reduces the rate of warming.
Hence:
Saturated air warms at SALR
while:
Dry air warms at DALR
So:
SALR < DALR for both saturated cooling on ascent and saturated warming on descent.
7. Environmental Lapse Rate — ELR
The Environmental Lapse Rate (ELR) is the actual temperature change with height in the surrounding atmosphere.
Characteristics
- It is variable.
- It depends on the actual atmospheric temperature structure.
- It is measured using instruments such as a radiosonde.
- It is not a fixed theoretical value.
Stability
Atmospheric stability is determined by comparing:
ELR ↔ DALR ↔ SALR
Surface temperature or surface pressure alone cannot determine atmospheric stability.
8. The Master Stability Table
This is the most important table in the chapter.
| Relationship | Stability | Parcel behaviour |
|---|---|---|
| ELR > DALR | Absolutely Unstable | Parcel remains warmer and rises |
| ELR = DALR | Neutral — dry | Neither rises nor sinks |
| DALR > ELR > SALR | Conditionally Unstable | Stable when dry, unstable when saturated |
| ELR = SALR | Neutral — saturated | Neither rises nor sinks |
| ELR < SALR | Absolutely Stable | Parcel becomes colder and sinks |
One-line memory
ELR high → unstable
ELR low → stable
9. Absolute Instability
Condition
ELR > DALR
The environment is cooling with height faster than a rising dry parcel.
Therefore:
- Rising parcel cools relatively slowly.
- Parcel remains warmer than surroundings.
- Parcel remains less dense.
- It continues rising spontaneously.
- Vertical currents become strong.
Weather
Favors:
- Cumuliform clouds
- Strong convection
- Showers
- Turbulence
- Moderate/heavy precipitation
Typical occurrence
The source notes that this can occur in a shallow surface layer on hot, sunny days, sometimes called a superadiabatic layer.
10. Absolute Stability
Condition
ELR < SALR
This is the most stable condition.
A parcel forced upward:
- Cools faster than the environment.
- Becomes colder.
- Becomes denser.
- Tends to return/sink toward its original level.
Weather
Associated with:
- Stratiform clouds
- Fog
- Continuous/light precipitation
- Suppressed convection
- Generally smoother air
Memory
ELR < SALR = Absolutely Stable
11. Conditional Instability
Condition
DALR > ELR > SALR
This means the atmosphere behaves differently depending on whether the parcel is dry or saturated.
If parcel is dry
DALR > ELR
Therefore:
- Parcel cools faster.
- Parcel becomes colder/denser.
- Parcel tends to sink.
- Stable when dry.
If parcel becomes saturated
ELR > SALR
Therefore:
- Parcel cools more slowly.
- Parcel remains warmer.
- Parcel continues to rise.
- Unstable when saturated.
Memory
Conditional instability = Stable dry + Unstable saturated
12. Neutral Stability
Neutral stability occurs when the parcel and environment cool at exactly the same rate.
Dry air
ELR = DALR
Saturated air
ELR = SALR
The displaced parcel:
- Has the same temperature as its surroundings.
- Has the same density.
- Neither accelerates upward nor returns downward.
13. Temperature Inversion
An inversion occurs when:
Temperature increases with height.
This is opposite to the normal tropospheric temperature profile.
ELR during inversion
Because temperature increases upward:
ELR is negative.
Therefore:
ELR < SALR
and the atmosphere is absolutely stable.
14. Effects of an Inversion
An inversion acts like a lid.
It:
- Suppresses convection.
- Suppresses vertical mixing.
- Prevents vertical air movement.
- Traps fog.
- Traps haze/smoke/pollutants.
- Can produce poor visibility.
Aviation significance
A strong low-level inversion can also produce significant wind shear.
15. Radiation / Ground / Nocturnal Inversion
A low-level radiation inversion is particularly common during winter.
Why winter?
- Long nights → more time for ground cooling.
- Clear skies → greater radiational heat loss.
- Calm/light winds → less turbulent mixing.
- High-pressure conditions often favour clear skies and light winds.
- Snow-covered ground can intensify cooling.
Aviation hazards
Radiation inversions can trap moisture and produce:
- Fog
- Low stratus
- Poor visibility
- Strong wind shear
16. Inversion and Wind Shear
This is an important exam point.
A strong low-level inversion can separate:
Calm, friction-affected air near surface
from
Stronger wind above the inversion
This creates a rapid change in:
- Wind speed
- Wind direction
That is wind shear.
The resulting shear can generate:
- Eddies
- Turbulence
- Moderate to severe turbulence
This is particularly hazardous during:
- Takeoff
- Landing
- Climb
- Descent
Key association
Strong low-level inversion → Wind shear → Turbulence
17. Isothermal Layer
An isothermal layer is one in which temperature remains constant with height.
Therefore:
ELR = 0°C/100 m
Since:
ELR < SALR
the layer is absolutely stable.
Compare
| Layer | Temperature with height | ELR | Stability |
|---|---|---|---|
| Normal lapse | Decreases | Positive | Depends on ELR |
| Isothermal | Constant | 0 | Absolute stability |
| Inversion | Increases | Negative | Absolute stability |
18. Stabilization
Warming aloft
When warm air is advected into upper levels:
- Air aloft warms.
- ELR decreases.
- Stability increases.
- An inversion may develop.
This process is called stabilization.
Memory
Warm aloft → Stable
19. Destabilization
Cooling aloft
When cold air is advected into upper levels:
- Upper air cools.
- ELR becomes steeper.
- Temperature decreases more rapidly with height.
- Stability decreases.
- Vertical motion becomes easier.
This is called destabilization.
Surface warming also promotes instability.
Memory
Cold aloft → Unstable
20. Stable vs Unstable Air
| Feature | Stable Air | Unstable Air |
|---|---|---|
| Vertical movement | Suppressed | Favoured |
| Vertical currents | Weak | Strong |
| Clouds | Stratiform | Cumuliform |
| Precipitation | Continuous/light | Showery |
| Visibility | Often poor due to fog/haze | Generally good except in showers |
| Turbulence | Generally smoother | More turbulence |
| Vertical cloud development | Limited | Strong |
| Fog/haze | Favoured | Less favoured |
21. Unstable Air and Clouds
Unstable air promotes vertical currents.
Therefore it favours:
- Cumulus (CU)
- Cumulonimbus (CB)
- Vertical cloud development
- Showers
- Turbulence
The vertical extent of a cumuliform cloud depends largely on the depth of the unstable layer.
A stable layer such as an inversion can cap the cloud.
The tropopause is the ultimate cap for cumulonimbus development.
22. Visibility in Stable and Unstable Air
Stable air
Poor visibility is common because stable air traps:
- Fog
- Haze
- Smoke
- Pollutants
- Moisture
Unstable air
Visibility is generally good, but can deteriorate inside:
- Rain showers
- Snow showers
- Hail showers
23. Important Numerical Example — ELR
Given:
- Surface temperature = 15°C
- Temperature at 1000 m = 13°C
Temperature difference:
15 − 13 = 2°C
Therefore:
ELR = 2°C / 1000 m
= 0.2°C/100 m
Compare:
- ELR = 0.2°C/100 m
- SALR ≈ 0.6°C/100 m
Therefore:
ELR < SALR
Answer:
Absolutely Stable
24. Numerical Example — DALR
Given:
- Surface temperature = 30°C
- Height = 2 km
- Dry air
DALR:
10°C/km
Temperature decrease:
2 × 10 = 20°C
Temperature at 2 km:
30 − 20 = 10°C
Answer:
10°C
25. Numerical Example — Dry Parcel
Given:
- Initial temperature = 35°C
- Ascent = 1 km
- Parcel remains unsaturated.
DALR:
10°C/km
Cooling:
1 × 10 = 10°C
Final temperature:
35 − 10 = 25°C
Answer:
25°C
26. ISA Lapse Rate
The source identifies:
ISA lapse rate = 0.65°C/100 m
Equivalent:
≈1.98°C/1000 ft
This lies between the typical DALR and SALR:
1.0 > 0.65 > 0.6
Therefore it represents conditional instability under the values used in the source.
27. Example — ELR = 0.65°C/100 m
Given:
- DALR = 1.0°C/100 m
- ELR = 0.65°C/100 m
- SALR ≈ 0.6°C/100 m
Relationship:
DALR > ELR > SALR
Therefore:
When dry
Stable
When saturated
Unstable
Overall
Conditional Instability
28. Example — ELR = 6.8°C/km
Given:
- ELR = 6.8°C/km
- DALR ≈ 9.8–10°C/km
- SALR ≈ 6°C/km
Therefore:
DALR > ELR > SALR
So the air is:
Stable when dry, unstable when saturated → Conditional Instability
If the question only asks for the state of an unsaturated parcel, describe it as stable.
29. Example — ELR = 4.5°C/km
Given:
- ELR = 4.5°C/km
- SALR = 5.5°C/km
Therefore:
ELR < SALR
Answer:
Absolute Stability
A saturated rising parcel cools faster than its environment and becomes colder/denser, so it tends to sink.
30. Parcel Returning to Original Level
For an unsaturated parcel:
Ascent
- Expands
- Cools at DALR
Descent
- Compresses
- Warms at DALR
If the parcel:
- Remains unsaturated
- Returns through the same vertical distance
then:
Cooling during ascent = warming during descent
Therefore:
The parcel returns to its original temperature.
31. Quick Stability Decision Method
Whenever an exam question gives an ELR:
Step 1 — Identify the ELR
Calculate:
ELR = temperature change / height change
Step 2 — Remember
DALR ≈ 1°C/100 m
SALR ≈ 0.6°C/100 m
Step 3 — Compare
If:
ELR > DALR
→ Absolutely Unstable
If:
ELR = DALR
→ Neutral, dry
If:
DALR > ELR > SALR
→ Conditionally Unstable
If:
ELR = SALR
→ Neutral, saturated
If:
ELR < SALR
→ Absolutely Stable
32. High-Yield Memory Table
| If you see… | Think… |
|---|---|
| ELR > DALR | Absolute instability |
| ELR = DALR | Neutral dry |
| DALR > ELR > SALR | Conditional instability |
| ELR = SALR | Neutral saturated |
| ELR < SALR | Absolute stability |
| Temperature ↑ with height | Inversion |
| Inversion | Extremely stable |
| ELR = 0 | Isothermal |
| Warm air aloft | Stabilization |
| Cold air aloft | Destabilization |
| Surface heating | Instability |
| Condensation | Latent heat released |
| Evaporation | Latent heat absorbed |
| Rising air | Expansion + cooling |
| Descending air | Compression + warming |
| Stable air | Stratus/fog/continuous precipitation |
| Unstable air | Cumulus/showers/turbulence |
| Strong low-level inversion | Wind shear |
33. Absolute vs Conditional vs Neutral — Final Comparison
| Condition | Dry Parcel | Saturated Parcel | Classification |
|---|---|---|---|
| ELR > DALR | Unstable | Unstable | Absolutely unstable |
| ELR = DALR | Neutral | — | Neutral dry |
| DALR > ELR > SALR | Stable | Unstable | Conditionally unstable |
| ELR = SALR | — | Neutral | Neutral saturated |
| ELR < SALR | Stable | Stable | Absolutely stable |
This is the core table to memorize for exam questions.
34. Final Rapid Revision
Adiabatic
Rise → expand → cool
Sink → compress → warm
DALR
1°C/100 m = 10°C/km = 3°C/1000 ft
SALR
≈0.6°C/100 m = ≈5–6°C/km
SALR < DALR
Stability
ELR > DALR → Absolute instability
DALR > ELR > SALR → Conditional instability
ELR < SALR → Absolute stability
Neutral
ELR = DALR → dry neutral
ELR = SALR → saturated neutral
Inversion
Temperature increases with height
ELR is negative
Extremely stable
Fog/haze trapped
Strong low-level inversion → wind shear
Air movement
Warm aloft → stabilization
Cold aloft → destabilization
Surface heating → destabilization
Condensation → latent heat release → slower cooling
Evaporation → latent heat absorption → slower warming