Environmental Conditions Required for Contrail Formation and Persistence Eric J
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JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 103, NO. D4, PAGES 3929-3936, FEBRUARY 27, 1998 Environmental conditions required for contrail formation and persistence Eric J. Jensen,1 OwenB. Toon,2 StefanKinne, • GlenW. Sachse,4 Bruce E. Anderson,4 K. RolandChan, • CynthiaH. Twohy,s BruceGandrud, s Andrew Heymsfield,s and RichardC. Miake-Lye• Abstract. The ambient temperatures and humidities required for contrail for- mation and persistenceare determinedfrom in situ measurementsduring the SubsonicAircraft: Contrail and Cloud EffectsSpecial Study (SUCCESS) exper- iment. Ambient temperatures and water vapor concentrations were measured with the meteorologicalmeasurement system, a laser hygrometer,and a cryogenic hygrometer(all onboardthe DC-8). The thresholdtemperatures are compared with theoretical estimates based on simple models of plume evolution. Observed contrail onset temperatures for contrail formation are shown to be 0-2 K below the liquid-saturation thresholdtemperature, implying that saturation with respect to liquid water must be reached at some point in the plume evolution. Visible contrailsobserved during SUCCESS persistedlonger than a few minutesonly when substantialambient supersaturationswith respectto ice existedover large regions. On someoccasions, contrails formed at relativelyhigh temperatures(>_ -50øC) due to very high ambientsupersaturations with respectto ice (of the order of 150%). These warm contrails usually formed in the presenceof diffusecirrus. Water vapor from sublimatedice crystalsthat entered the enginewas probably necessaryfor contrail formation in someof these cases. At temperaturesabove about -50øC, contrails can only form if the ambient air is supersaturatedwith respect to ice, so these contrails should persist and grow. 1. Introduction mate in particular regions by compiling climatologiesof During recent years, considerableattention has been contrails based on ground-basedobservations [Liou et focused on the climatic impact of clouds. Of particu- al., 1990]. Evaluationof the contrailinfluence on global climate will require use of satellite observations. Assess- lar interest is the possibility that as anthropogenicin- ment of potential future contrail climate impacts based fluences alter the atmosphere and climate, cloud prop- on projected air traffic requires a knowledgeof the en- erties may change, resulting in a cloud-climate feed- vironmental conditions required for contrail formation. back [Twomey,1974; Ackerman et al., 1997]. Contrails The contrail threshold conditions also provide informa- formed by jet aircraft in the upper troposphere are ice tion about how effective aircraft exhaust particles are cloudsformed directly by anthropogenicinjections into as ice nuclei. the atmosphere. Hence, contrails represent a direct an- thropogenicinfluence on cloudsand possiblyon climate. Numeroustheoretical studiesof the thermodynamics Past studies have analyzed the effect of contrails on cli- of contrail formation have been conductedduring the pastseveral decades (see Schumann [1996] for a detailed review). Appleman[1953] used simple arguments about •NASA Ames ResearchCenter, Moffett Field, California. the evolutionof temperature and water vapor in aircraft 2Universityof Colorado,Department of AtmosphericSci- exhaust plumes to predict threshold temperatures and ences, Boulder. pressuresat which contrails could form. Attempts have aBay Area EnvironmentalResearch Institute, San Fran- cisco, California. been made to validate the predictedthreshold temper- 4NASA LangleyResearch Center, Hampton, Virginia. atures using ground-basedobservations of contrails and 5NationalCenter for AtmosphericResearch, Boulder, Col- nearly colocatedradiosonde measurements of tempera- orado. ture and humidity [Peters,1993; Busen and Schumann, 6AerodyneResearch, Inc., Billerica, Massachusetts. 1995]. However,the inaccuracyof radiosondehumid- ity measurementsand the separationbetween humidity Copyright 1998 by the American GeophysicalUnion. measurements and the contrails have limited the useful- Paper number 97JD02808. nessof thesestudies. Recently, Schumann et al. [1996] 0148-0227/98/ 97JD-02808$ 09.00 reported in situ measurementsof temperature and hu- 3929 3930 JENSEN ET AL.: CONTRAIL THRESHOLD TEMPERATURES midity at contrail onset times for a flight following a Atmosphere(40øN) temperatureand pressureprofiles, moderate-sized research aircraft. Their results were in Appleman showedthat contrails should typically form aggreementwith the theoreticalpredictions of threshold under ambient ice-saturated conditionsat pressuresbe- temperatures assumingliquid saturation in the plume low about 300 mbar. This analysis also indicated that is required for contrail formation. formation of contrails in dry ambient air should typi- In addition to determination of how frequently con- cally only be possiblenear 220 mbar. trails form, it is also important to distinguishbetween In situ investigationsof cirrus clouds over the past transient and persistent contrails. The vast majority of severalyears have indicated that ice nucleationcan oc- visible contrails dissipate within a few minutes. Such cur in air that is subsaturated with respect to liquid contrails have little potential for affectingthe radiation water but saturated with respect to ice. This distinc- balance or climate. Occasionally,contrails are observed tion is particularly important in the very cold upper to persist and even grow. Sometimes,the contrailslast troposphere. For example, at-65øC, liquid saturation for hours and spreadinto sheets. The persistenceand is not achieved until the saturation with respect to ice spreading of contrails will determine their impact on (RHI) reaches185%. Measurementsin waveclouds over the radiation balance. Hence, we need to determine the Rocky Mountains during SUCCESS showedclear the relationship between contrail lifetime and ambient evidence of ice crystal formation in air at relative hu- conditions. miditywith respectto liquidwater (RH) < 90% [Jensen In this study, we have used measurementsmade dur- et al., 1997]. Theseresults suggest that the mostbasic ing the SubsonicAircraft: Contrail and Cloud Effects requirement for ice crystal formation in aircraft plumes Special Study (SUCCESS) to correlateenvironmen- might be that ice saturation be achievedat sometime tal conditions with contrail formation and persistence. during the plume cooling. Hence, we should attempt Very precisein situ measurementsof temperature and to distinguishwhether liquid saturation is actually re- water vapor concentrationwere made with various in- quired for contrail formation. struments on the NASA DC-8 aircraft during SUC- To calculate the threshold temperature numerically, CESS. Contrails from the DC-8 were identified by chase we must derive an expressionfor the evolutionof the the aircraft, ground observers,DC-8 aft video, ER-2 nadir saturationwith respectto ice (Si) in the plume. We imaging, and satellite images. Below, we briefly re- begin by writing the plume water vapor mixing ratio view the standard theoretical treatment for predicting in terms of the changein temperature(see Schumann thresholdconditions for contrailformation [Appleman, [1996]for a moredetailed derivation): 1953]. Next, we describethe SUCCESStemperature, humidity, and contrail observations. Then we compare Wplm--Wamb + cpATEI•t•.o (1) the theoretical predictions and observedthreshold con- ditions. Finally, we discussthe implications of these where Wambis the ambient water vapor mixing ratio, results for current theories of contrail formation pro- cp is the specificheat capacityof air, AT is the differ- cesses. ence between the plume temperature and the ambient 2. Theoretical Prediction of Contrail temperature, EI•.o is the emissionindex for water va- por, and Elheat is the emissionindex for heat. Next, Threshold Temperatures we convert from mixing ratio to water vapor number The first detailed analysisof the environmentalcon- density: ditionsrequired for contrailformation was conducted by naircpEIH•.oATRw Appleman[1953], and the topic was recently reviewed in nw,plm--nw,amb q- ElneatRd (2) detailby Schumann[1996]. These analyses were based primarilyon the assumptionthat the temperatureand where hair is the ambient air number density,nw,amb water vapor mixing ratio in the plume are both con- and rlw,plmare the ambient and plume water vapor trolled by entrainmentof ambientair into the plume. number densities,and Rd and Rw are the gas constants Usingthis assumptionwe can calculatethe watervapor for dry air and water vapor. Then the ice saturation in concentrationand temperaturein the plume giventhe the plume is given by ambienttemperature and water vaporconcentration as well as the emission indices for heat and water vapor nw,ambnai,.cpEI•t•.oATR• (3) (heatand water vapor mass per gram of fuelburned). Si,plm-Tlsat,i (Wplm)q-Tlsat,i (Wplm)Z_[heatRd Appleman[1953] argued that wheneverthe available moisturewas greaterthan that requiredto reachsat- where rlsat,iis the saturationwater vapor numberden- uration in the plume, a contrail could form. He thus sity. The saturation with respect to liquid water can calculated threshold temperatures for contrail forma- be calculated in an analogousmanner. The plume sat- tion graphically.The thresholdtemperature turns out uration dependsupon the ambient air density and hu- to be a function of both the ambient relative humid- midity. As pointedout by Busenand Schumann[1995], ity andthe ambientpressure. Using the U.S. Standardnot all of the energy liberated by the