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Air Pollution Meteorology Prof Shirley Brooks and V Zungu (PhD…) What is Stability? Vertical motion of air parcels. What is Atmospheric Stability • The vertical movement of air molecules characterized by certain basic conditions (Temperature) that determine the general stability of the atmosphere. • Downward motion – Adiabatic warming • Upward motion – Adiabatic cooling Stability & Movement •A rock, like a parcel of air, that is in stable equilibrium will return to its original position when pushed. •If the rock instead departs in the direction of the push, it was in unstable equilibrium. Behavior of Rising and Sinking Air •Rising air expands, using energy to push out, which slows and adiabatically cools the air. •A parcel of air may be forced to rise or sink, and change temperature relative to the environmental air, which is sampled using radiosonde balloons. •The radiosonde balloon expands in size from approximately 6 feet to a diameter between 24 and 32 ft before it bursts. The balloon carries the instrument package to an altitude of approximately 25 mi (27-37 km) where the balloon bursts (at a pressure of approximately 10 mb). = Exerted Pressure Key Terms When Discussing Stability • Adiabatic Process - is when an air parcel cools by expansion or warms by compression with no exchange of heat from the the outside environment. • Dry Adiabatic Rate - the rate at which an “unsaturated” parcel is cooled or warmed adiabatically (adiabatic process). The dry adiabatic rate is 10°C per 1000 m or 5.5°F per 1000 ft and it remains constant. • Moist Adiabatic Rate - the rate at which a “saturated” parcel is cooled and warms with ascending or descending motion. This rate varies but it is less than the dry adiabatic rate due to latent heating from condensation offsetting the cooling. A commonly used value for the moist adiabatic rate is 6°C per 1000 m or 3.3°F per 1000 ft. This rate is not an adiabatic process due to latent heating. • Environmental Lapse Rate - the rate at which ambient air temperature decreases with height. This rate can vary as well and must be measured by a radiosonde. Lapse Rate • Important characteristic of atmosphere is ability to resist vertical motion: stability • Affects ability to disperse pollutants • When small volume of air is displaced upward – Encounters lower pressure – Expands to lower temperature – Assume no heat transfers to surrounding atmosphere – Called adiabatic expansion Adiabatic Expansion To determine the change in temp. w/ elevation due to adiabatic expansion – Atmosphere considered a stationary column of air in a gravitational field – Gas is a dry ideal gas – Ignoring friction and inertial effects ( dT/dz)adiabatic perfect gas = - (g M/ Cp) • • • • • T = temperature z = vertical distance g = acceleration due to gravity M = molecular weight of air Cp = heat capacity of the gas at constant pressure Adiabatic Expansion ( dT/dz)adiabatic perfect gas = -0.0098°C/m or ( dT/dz)adiabatic perfect gas = -5.4°F/ft Change in Temp. with change in height Lapse rate • Lapse rate is the negative of temperature gradient • Dry adiabatic lapse rate = Metric: Γ = - 1°C/100m or SI: Γ = - 5.4°F/1000ft Conti…. • Important is ability to resist vertical motion: stability • Comparison of Γ to actual environment lapse rate indicates stability of atmosphere • Degree of stability is a measure of the ability of the atmosphere to disperse pollutants Atmospheric Stability • Affects dispersion of pollutants • Temperature/elevation relationship principal determinant of atmospheric stability • Stable – Little vertical mixing – Pollutants emitted near surface tend to stay there – Environmental lapse rate is same as the dry adiabatic lapse rate Stability Classes • Developed for use in dispersion models • Stability classified into 6 classes (A – F) • A: strongly unstable • B: moderately unstable • C: slightly unstable • D: neutral • E: slightly stable • F: moderately stable Vertical Temperature Profiles Environmental lapse rate (ELR) Dry adiabatic lapse rate (DALR) If: ELR > DALR =sub adiabatic condition, atmosphere is stable. ELR >> DALR= Inversion conditions. Very stable atmosphere. ELR= DALR= atmosphere is neutral. ELR< DALR = super adiabatic condition, atmosphere is unstable. Shapes of plumes depends upon atmospheric stability conditions. Stability and Thermodynamic Model (Air movement behavior) thermodynamic property – measurements or soundings day γa > γ₀ unstable γb = γ₀ neutrally stable γc < γ₀ stable On day a a parcel will cool more slowly than surroundings – air will be warmer and rise. On day b a parcel will always have same temperature as surroundings – no force of buoyancy. On day c a parcel will cool more quickly than surroundings – air will be cooler and return to original altitude. Copyright R. R. Dickerson 2011 19 Central Concepts • The dry adiabatic lapse rate is one degree Celsius of cooling for every 100 meters (-1°C/100m, -10°C/kilometer). This is the parcel of Dry air in the atmosphere!!! • As the parcel of air rises and it cools, it will eventually cool to the dew point when condensation can begin and clouds will form • However- Air that is saturated with water has reached the dew point temperature and is carrying as much moisture as that parcel of air is capable of holding at that temperature. • This saturated parcel of air has a saturated adiabatic lapse rate (also known as wet adiabatic lapse rate) of 0.5°C/100 m (5°C/kilometer). Creating Adiabatic Graph • First must plot Environmental Lapse Rate Data. • Create graph of the adiabatic temperature change for the air parcels. • Label where the air is cooling at the DAR and SAR, identify the level of condensation where clouds start to form, and where the air is stable and unstable. Graphing ELR and DALR • Lapse rate = -DT/DZ = (T2-T1)/(Z2-Z1) – DALR = 1°C/100m and WALR = 0.60C/100m • Ground level Temp = 150C • Dew Point Temp = ? • Need to graph the adiabatic temperature change. To do this I need three points: – Point 1 – Ground level air temperature – Point 2 – The condensation level – Point 3 – The end point (highest elevation for the problem) Condensation Level • • Ground Level: 150C Mixing Ratio: 8 g/kg ~ Mixing ratio (w) is the amount of water vapor that is in the air i.e. w is the grams of vapor per kg of dry air. w is an absolute measure of the amount of water vapor in the air. • Mass of Water Vapour to Mass of Dry Air: • Cond… Level: 100c • Need an ELR Graph 10 Height in (M) ELR Graph Temp C0 DAR and Condensation Level (a)15o C – 10o = 50C. (a)But need to know the actual level in meters: (a)50C * 100m = 500m 500m Step 3: Plot Ending Temperature • Calculate change (∆) in elevation: = starting elevation (h) – ending elevation (h) = 500m – 3000m = -2500 Calculate change (∆) in Temperature: = ∆ elevation x Lapse Rate (dt/dz) = -2500 x 0.60C/100m = -15 Calculate ending Temperature: = starting temperature + ∆ temperature =100C +-150C = -50C Plot Change in Temperature from CL Stable and Unstable Mixing Height of atmosphere The height of the base of the inversion layer from ground surface. General Characteristics of Stack Plumes • Dispersion of pollutants • Wind – carries pollution downstream from source • Atmospheric turbulence -- causes pollutants to fluctuate from mainstream in vertical and crosswind directions • Mechanical & atmospheric heating both present at same time but in varying ratios • Affected plume dispersion is differently- location & time Plume Types • Plume types are important because they help us understand under what conditions there will be higher concentrations of contaminants at ground level. Looping Plume • High degree of convective turbulence • Superadiabatic lapse rate -- strong instabilities • Associated with clear daytime conditions accompanied by strong solar heating & light winds • High probability of high concentrations sporadically at ground level close to stack. • Occurs in unstable atmospheric conditions. Coning Plume • Stable with small-scale turbulence • Associated with overcast moderate to strong winds • Roughly 10° cone • Pollutants travel fairly long distances before reaching ground level in significant amounts • Occurs in neutral atmospheric conditions Fanning Plume • Occurs under large negative lapse rate • Strong inversion at a considerable distance above the stack • Extremely stable atmosphere • Little turbulence • If plume density is similar to air, travels downwind at approximately same elevation Lofting Plume • Favorable in the sense that fewer impacts at ground level. • Pollutants go up into environment. • They are created when atmospheric conditions are unstable above the plume and stable below. Fumigation • Most dangerous plume: contaminants are all coming down to ground level. • They are created when atmospheric conditions are stable above the plume and unstable below. • This happens most often after the daylight sun has warmed the atmosphere, which turns a night time fanning plume into fumigation for about a half an hour. Vertical Temperature Profiles Environmental lapse rate (ELR) Dry adiabatic lapse rate (DALR) If, ELR > DALR =sub adiabatic condition, atmosphere is stable. ELR >> DALR= Inversion conditions. Very stable atmosphere. ELR= DALR= atmosphere is neutral. ELR< DALR = super adiabatic condition, atmosphere is unstable. Shapes of plumes depends upon atmospheric stability conditions. THANK YOU