HYDROLOGIC CYCLE

 

Water makes up only small fraction of atmosphere (0-4%) but is extremely important for understanding atmospheric processes. Not only because of its radiative properties but also because of its role in heat transport.

 

Nearly all water in Earth’s hydrosphere is in the ocean (97%) with very little in the atmosphere (0.001%), but there is an immense amount of water cycled through the atmosphere. The movement of water between reservoirs is known as the hydrologic cycle.

 

 

 

 

WATER’S CHANGES OF STATE.

 

Water has the unique ability to change between any of the states (solid, liquid or gas) under terrestrial conditions.  These changes require heat to be absorbed or released.

 

Evaporation: liquid -> gas (vapor)  [requires heat]

 

Condensation: vapor -> liquid   [releases heat = heat for evaporation]

 

Melting: solid -> liquid [requires heat]

 

Freezing: liquid -> solid  [releases heat = heat for melting]

 

Sublimation:  solid -> gas (e.g., shrinking ice cubes)

 

Deposition:  gas -> solid (e.g., frost)

 

The above involve release/absorption of latent heat (latent mean hidden) as the heat exchange does not involve change in T. This is in contrast to transfer of sensible heat in which there is a change in T.

 

 HUMIDITY    [amount of water vapor in the air].

 

There are several measures of humidity:

 

Vapor Pressure  = pressure contributed by vapor pressure alone. The maximum vapor pressure that can exist is called the saturation vapor pressure. When air is saturated evaporation = condensation.

 

The amount of water required for saturation depends on temperature (but not pressure)  -> more water required for higher temperature

 

Absolute Humidity = density of water = mass of water / volume

 

As an air parcel moves around changes in T and p cause the volume to change, and hence absolute humidity can change without water being added or removed.

 

Specific Humidity (q) = mass of water in unit mass of all air (units g/kg).

q = mv / m = mv / (mv + md)

Specific humidity is not affected by changes in p or T.

 

Mixing Ratio (r) = mass of water in unit mass of dry air (units g/kg).

r = mv / md

 

Relative Humidity (RH) = ratio of actual water content compared with amount required for saturation (at that temperature).

 

RH be more easily measured than r (or absolute humidity), but is T dependent. However conversion between RH and r is easy:     RH = r/rS x 100 %   (rS = saturation mixing ratio)

 

RH can be changed by either

 

·        changing amount of moisture: as water vapor is added the RH increases until saturation (RH=100%)

 

·        changing the temperature: as parcel is cooled then the saturation mixing ratio decreases, and hence RH increases (without change in amount of water).

 

Temperature at which saturation occurs just by cooling is called the dew-point temperature.  If continued cooling RH remains at 100% by condensation occurs … important for formation of clouds.

 

 

 

 

 

 

 

FIGURE:  mixing ratio vrs T, pg 135 D et al.

 

 

 

 

Conversion between different humidity measures

 

The saturation mixing ratio versus temperature graph can be used to determine the relations between the above quantities. For example,

 

(1) T=30 OC and RH=50%, what is water vapor content?

[Question asked for precipitation predictions]

 

RH=50% means r is half way between r=0 and r=rS

@ 30 OC rS = 28 g/kg -> r = 0.5*28 = 14 g/kg

 

(2) T=30 OC and dew-point temperature DT=19 OC, what is the RH (or r)?

 

            move up from r=0 and T=19 OC to r=r S curve to get actual r

                        i.e., r=14 g/kg

            move up from r=0 and T=30 OC to r=r S curve to get saturation r

                        i.e., r S=28g/kg

            RH=r/r S x 100% = 50%

 

 

 

 

 

 

FIGURE

 

 

 

 

 

“Dry” and “Wet” Air

 

Higher RH does not mean more water vapor. In particular cold places can have high RH but very low water vapor content, while warm places can have low RH but a lot more water vapor.

 

For example,

 

            @ -10OC RH = 100% -> r = 2 g/kg

 

            @  25OC RH =  25% -> r = 20 g/kg

 

so “dry” air at 25 OC has ten times the water as “wet” air at -10 OC.

 

 

Natural Changes in RH

 

The RH can be changed by

1)      daily T variations

2)      movement of air from one place to another

3)      vertical movement of air

 

 

 

 

 

CONDENSATION

 

There are two requirements for condensation:

(1)               air must be saturated, and

(2)               must be a surface on which water vapor can condense.

 

The surfaces on which this generally happens are those of tiny particles called condensation nuclei, e.g., microscopic dust, smoke, salt particles. These particles are very important because even if RH=100% there would be no clouds without them.

 

Condensation in the atmosphere results in the formation of Clouds, Fog, Dew, and Frost.

 

 

 

CONDENSATION IN THE ATMOSPHERE

 

Clouds

        visible aggregates of minute drops of water or tiny crystals of ice.

 

        Classified into several different types depending on height (high, middle, or low) and form (cirrus, cumulus, and stratus).

 

Fog

        A cloud with its base at the ground

 

        Different types depending on formation mechanism, e.g., radiation  (radiative cooling), advection (warm, moist air over cold surface), upslope (orographic lifting), and evaporation (moisture from evaporation) fog.

 

Dew

        Condensation on objects that have radiated sufficient heat to lower T than dew-point of surroundings

 

        Frequently on grass as transpiration of water by blades raises RH.

 

Frost

        Forms when dew-point is less than freezing, and vapor converted directly to ice crystals (deposition).

 

 

 

 

 

Contrails

 

Jet aircraft engines expel large quantities of hot, moist air. As this air mixes with surrounding air contrails (condensation trails) form.

 

Whether or not contrails form, and how long they last, depends on the ambient air and how near it is to saturation.

 

The contrails form a short distance from the aircraft as mixing has to take place before they form.

 

Note that the aircraft emissions also contain condensation nuclei, which increase cloud formation potential.

 

Contrails are examples of cloud formation by mixing …

 

 

 

 

 

FIGURE: `mixing line’, pg 180 D et al.

 

 

 

TEMPERATURE CHANGES DUE TO LIFTING

 

Temperature changes in which heat is not added or removed are called adiabatic temperature changes.

 

These result from expansion (cooling)  or compression (heating)

of air.  Compression (expansion) increases (decreases) motion of molecules and hence the temperature increases (decreases).

[Everyday example of heating via compression is a hand tire pump.]

 

As parcels rise -> lower pressure -> expand -> cool.

 

As parcels fall -> higher pressure -> compress -> heat.

 

For dry air the change in temperature with height is approximately 10OC/km … the dry adiabatic lapse rate (DLR).

 

If parcel rises high enough T falls below dew-point, and condensation can occur … this altitude is the condensation level.

 

Above condensation level rate of cooling decreases because cooling by expansion is partially offset by release of latent heat associated with condensation. This slower rate is the wet adiabatic lapse rate (WDR), and is approximately 5OC/km

 

 

ATMOSPHERIC STABILITY

 

What depends whether a parcel rises, falls, or remains at a constant level? i.e., , what determines the stability of air?

 

Important as determines when air rises above condensation level (and forms clouds).

 

Parcel is stable if returns to original position after a small displacement, and unstable is moves away after displacement.

 

 

 

 

 

FIGURE: ball in bowl

 

 

 

 

A lifted parcel will

 

rise if warmer than surroundings (as less dense) … unstable.

 

fall if cooler than surroundings (as more dense) … stable.

 

So stability of atmosphere is determined by the variation of temperature with altitude, called the environmental lapse rate (ELR).

 

3 regimes:

 

1.      Absolute Stability:  ELR < WLR

 

2.      Absolute Instability:  ELR > DLR

 

3.      Conditional Stability:  WLR < ELR < DLR

 

 

In (1) a parcel rising at DLR or WLR is always cooler than environment, and hence stable.

 

In (2) a parcel rising at DLR or WLR is always warmer than environment, and hence unstable.

 

In (3) a parcel rising at DLR is stable but unstable some distance above condensation level (when rising at  WLR).

 

 

 

LIFTING PROCESSES

 

What processes can cause air to rise (and hence lead to condensation)?

 

1.      Convective Lifting

 

Localized surface heating can produce air warmer than surroundings -> “thermals”. Produces only short-lived precipitation.

 

2.      Orographic Lifting

 

Mountains acts as barriers to the flow, and can cause air to ascend. This produces large condensation/precipitation on windward side but little on leeward side. … “Rainshadow Desserts”

 

3.      Frontal Lifting

 

Masses of cold and warm air often collide to produce a front. This can than produces the same effect as orographic lifting (warm air rises up front).

 

4.      Convergence

 

Surface convergence (e.g., low pressure systems) leads to uplift (as air can’t go down).

 

 

 

PRECIPITATION

 

Why do some clouds produce precipitation and not others?

 

Cloud droplets are tiny (~20x10-6m)

è    fall at very slow rate (48hrs to fall 1km)

è    evaporate before they reach the ground (typically evaporate within a few meters).

 

For a raindrop to be large enough to reach the  ground it must contain ~ a million times the water of a single cloud droplet.

 

Clouds consist of many billions of these droplets, and all `compete’ for available water, so growth by condensation is slow.

 

So another mechanism is required. Two such mechanisms proposed:

 

1. Bergeron Process

 

2. Collision-Coalescence Process

 

Precipitation occurs in several forms (depending on vertical temperature profile) …

·        Rain

·        Snow

·        Sleet

·        Glaze

 

 

HYDROLOGIC CYCLE: SUMMARY

 

·        The movement of water between reservoirs in the Earth system is known as the hydrologic cycle.

 

·        The transfer of (latent) heat occurs through processes that change the state of water, i.e., evaporation, condensation, melting, freezing, sublimation, and deposition.

 

·        There are several, related, measures of humidity: vapor pressure, absolute humidity, specific humidity, mixing ratio, and relative humidity. When air is saturated the relative humidity is 100%.

 

·        Condensation occurs when air is saturated and there a particles on which water can condense (so called condensation nuclei).

 

·        There are four types of condensation: clouds, fog, dew, and frost.

 

·        In dry air the rate of cooling, due to expansion, with height is 10C/km (dry adiabatic lapse rate), whereas for wet air the cooling is less, because of heat release by condensation, at around 6C/km (wet adiabatic lapse rate).

 

·        The stability of an air parcel depends on its temperature relative to the ambient air, and the stability of the atmosphere depends on  the vertical change of  temperature profile compared with the dry and wet adiabatic lapse rates.

 

·        There are four main process that cause air to rise (and lead to condensation):  convective, orographic, frontal, and convergence lifting.

 

·        Precipitation occurs when  droplets or crystals gain sufficient size are formed to fall.