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Indian Journal of Radio &- Space Physics Vol. 32, December 2003, pp. 373-378 ',:: Mixed layer height over Bay of Bengal during Indian summer monsoon using MONTBLEX observations M N Patil & S S Parasnis Indian Institute of Tropical Meteorology, Dr. Homi Bhabha Road, Pashan, Pune 411 008 Received 17 December 2002; accepted 17 June 2003 The height of mixed layer and cloud base is studied in relation to surface meteorological parameters, surface fluxes of heat and momentum and synoptic weather disturbances. For this study, surface as well as upper air meteorological observa- tions collected over north Bay of Bengal (200N, 89°E) during the summer monsoon of 1990 as a part of Monsoon Trough Boundary Layer Experiment (MONTBLEX), were utilized. Empirical relation between the cloud base height and the sur- face meteorological observations has been verified for its validity over Bay of Bengal. This height is further compared with aerological observations. A simple relation based on surface air temperature, pressure and wind speed has been suggested to estimate the cloud base height. Influence of the turbulent surface fluxes of heat and momentum on evolution of mixed layer over Bay of Bengal has been brought out. Keywords: MONTBLEX, Bay of Bengal, Virtual potential temperature, Mixed layer height, Cloud base height, Surface fluxes. 1 Introduction Studies on the characteristic features of the marine boundary layer are important for understanding the heat and moisture budget of the boundary layer. Con- vective boundary layer (CBL)/mixed layer height de- termines the vertical transport and diffusion of pollut- ants in the atmospheric boundary layer (ABL). Pas- sive quantities such as particles and gases are mixed nearly uniformly throughout the layer by turbulence which results partially from strong surface heating during the daytime hours. The mixed layer is capped by a temperature inversion which impedes entrain- ment of air from above into that below, thereby lim- iting the height of mixing. Over land, the extent of the mixed layer largely depend upon the heat received by the earth surface, but over ocean, the latent heat flux along with the sensible heat flux determines the char- acteristic structure of the sub-cloud layer. Thus, variation of the mixed height depends on solar radia- tion, synoptic conditions and local terrain. It is known that tropical weather systems over oceans are strongly dependent on air-sea exchange processes. The development of these processes. de- pends upon the atmospheric conditions and the state of the underlying sea-surface. Over a uniform ocean, the sub-cloud layer is cooler than the ocean because of the radiative cooling. This creates the instability in the surface layer and maintains the heat fluxes (viz. sensible and latent). As far as the moisture balance is concerned, the upward moisture flux at the surface balances the subsidence of dry air. The resulting equilibrium moisture structure and associated cloud fields play an important role in the heat budget'. Re- cent studies relating the surface fluxes of heat and momentum showed that these fluxes have increased steeply during the period of disturbances over the north Bay of Bengaf· 3 . It is understood that the boundary layer processes are basically associated with the fluxes in that layer where wind speed plays an important role. In many formulation used in the estimation of mixed layer/cloud base height, more emphasis has been given to the convective parameters. Hence, in the pre- sent study the first aim is to bring out the significance of the wind speed in the computation of mixed layer/cloud base height where both the convective as well as dynamic parameters can be considered. The second aim is to check the importance of surface fluxes of heat and momentum on the evolution of mixed layer over Bay of Bengal. Further, the sensi- tivity of cloud base height on air temperature and SST has been tested. 2 Location of observations and meteorological conditions Monsoon Trough Boundary Layer Experiment"
Transcript
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Indian Journal of Radio &- Space PhysicsVol. 32, December 2003, pp. 373-378

iA).30',::

reen G) 899.A 111/0.1'

Mixed layer height over Bay of Bengal during Indian summer monsoon usingMONTBLEX observations

7111 [orTech.

c and)I, pp.

M N Patil & S S ParasnisIndian Institute of Tropical Meteorology, Dr. Homi Bhabha Road, Pashan, Pune 411 008

rritt Dechnol

Received 17December 2002; accepted 17June 2003

The height of mixed layer and cloud base is studied in relation to surface meteorological parameters, surface fluxes ofheat and momentum and synoptic weather disturbances. For this study, surface as well as upper air meteorological observa-tions collected over north Bay of Bengal (200N, 89°E) during the summer monsoon of 1990 as a part of Monsoon TroughBoundary Layer Experiment (MONTBLEX), were utilized. Empirical relation between the cloud base height and the sur-face meteorological observations has been verified for its validity over Bay of Bengal. This height is further compared with

aerological observations. A simple relation based on surface air temperature, pressure and wind speed has been suggested toestimate the cloud base height. Influence of the turbulent surface fluxes of heat and momentum on evolution of mixed layerover Bay of Bengal has been brought out.

Keywords: MONTBLEX, Bay of Bengal, Virtual potential temperature, Mixed layer height, Cloud base height, Surfacefluxes.

reportt Syst.

C A,,), 125

75.

1 IntroductionStudies on the characteristic features of the marine

boundary layer are important for understanding theheat and moisture budget of the boundary layer. Con-vective boundary layer (CBL)/mixed layer height de-termines the vertical transport and diffusion of pollut-ants in the atmospheric boundary layer (ABL). Pas-sive quantities such as particles and gases are mixednearly uniformly throughout the layer by turbulencewhich results partially from strong surface heatingduring the daytime hours. The mixed layer is cappedby a temperature inversion which impedes entrain-ment of air from above into that below, thereby lim-iting the height of mixing. Over land, the extent of themixed layer largely depend upon the heat received bythe earth surface, but over ocean, the latent heat fluxalong with the sensible heat flux determines the char-acteristic structure of the sub-cloud layer. Thus,variation of the mixed height depends on solar radia-tion, synoptic conditions and local terrain.

It is known that tropical weather systems overoceans are strongly dependent on air-sea exchangeprocesses. The development of these processes. de-pends upon the atmospheric conditions and the stateof the underlying sea-surface. Over a uniform ocean,the sub-cloud layer is cooler than the ocean becauseof the radiative cooling. This creates the instability inthe surface layer and maintains the heat fluxes (viz.

sensible and latent). As far as the moisture balance isconcerned, the upward moisture flux at the surfacebalances the subsidence of dry air. The resultingequilibrium moisture structure and associated cloudfields play an important role in the heat budget'. Re-cent studies relating the surface fluxes of heat andmomentum showed that these fluxes have increasedsteeply during the period of disturbances over thenorth Bay of Bengaf·3.

It is understood that the boundary layer processesare basically associated with the fluxes in that layerwhere wind speed plays an important role. In manyformulation used in the estimation of mixedlayer/cloud base height, more emphasis has beengiven to the convective parameters. Hence, in the pre-sent study the first aim is to bring out the significanceof the wind speed in the computation of mixedlayer/cloud base height where both the convective aswell as dynamic parameters can be considered. Thesecond aim is to check the importance of surfacefluxes of heat and momentum on the evolution ofmixed layer over Bay of Bengal. Further, the sensi-tivity of cloud base height on air temperature and SSThas been tested.

2 Location of observations and meteorologicalconditionsMonsoon Trough Boundary Layer Experiment"

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374 INDIAN J RADIO & SPACE PHYS, DECEMBER 2003

(MONTBLEX) was the first experiment conducted tostudy the boundary layer processes in the monsoontrough regions. This experiment was conducted in thesummer monsoon season (June-September) of 1990.As a part of MONTBLEX, the surface meteorologicalobservations along with radiosonde ascents weretaken onboard Oceanographic Research Vessel 'Sa-garkanya' in the north Bay of Bengal (200N, 89°E).The three-hourly surface observations, viz. sea sur-face temperature (SST), dry bulb temperature, wetbulb temperature, winds, etc. were collected. Lowlevel radiosonde, specially designed for this experi-ment, were used to obtain data accurately at shorterintervals by giving less rate of ascent (6-7 kmlhr). Thevessel was moored at the location (200N, 89°E) in thenorth Bay of Bengal for the entire observational pe-riod, i.e from 18 Aug. to 19 Sep. 1990. These obser-vational data' were supplied by National Institute ofOceanography, Goa.

The period of 20-25 August is marked with theformation of deep depression centred in the north Bayof Bengal. During 28-31 August, the monsoon troughwas shifted towards the south of its normal positionheralding rainfall activity in the central part of India.A depression was also formed during 1-4 Sep. 1990near the eastern part. Eastern part of the monsoontrough shifted from Nepal to north Bay of Bengalduring 6-8 Sep. 1990. Synoptic meteorological obser-vations and weather conditions during the, MONT-BLEX is critically and thoroughly discussed by Sri-vastav."

3 Profiles of virtual potential temperature

Profiles of potential temperature is used to deter-mine the mixed layer height. Potential temperatureand humidity are nearly constant with height in themixed layer. Top of the convective mixed layer is thelevel of most negative heat flux and is at the height

. where the capping inversion is strongest. Anothermeasure of the average mixed layer depth is theheight at which an undiluted air parcel rising from thesurface becomes neutrally buoyant. Potential tem-perature is minimum near the middle of the mixedlayer, because heating from below and entrainment ofwarm air from above leads to slightly warmer poten-tial temperature in these regions. However, moistureoften decreases slightly with height, because surfaceevaporation is adding moisture below, while entrain-ment oJ dry air is occurring at the top of the mixedlayer.

During MONTBLEX, the radiosonde ascents weretaken at 0000 and 1200 hrs GMT. On a few occasions(23,25 August and 12 September), radiosonde ascentsat 0600 hrs GMT were available. Over the north Bayof Bengal, during the observational period, the ob-served virtual potential temperature (8v) profiles canbe grouped in three categories. First, the constant 8y

throughout the boundary layer [Fig.1 (a)]. Secondly,the 8y profile was divided into the sections of inver-sion (stable) from surface, and unstable-to-neutralconditions above this [Fig. 1(b)], and finally few pro-files have constant 8y (neutral conditions) in the upper

·500

550 28-8-1990,1200 hrs GMT 18-8-1990,1200 hrs GMT 25-8-1990,0600 Iirs GMT

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800 / • ./o ,~ 850 / II ./ •900 ....--. \ I• .~ -:\

·950 •\

I /.

1000

.:/• .---

1050,: \. .•.

300 304 308 312 316 320 324 300 304 308 312 316 320 324 300 304 308 312 316 320 324

9y,K 9y,K 9y, K

Fig. I-Profiles of virtual potential temperature on (a) 28 Aug.; 1200 hrs GMT (b) 18 Aug.; 1200 hrs GMT and (c) 25 Aug.; 0600 hrsGMT; 1990 .

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600 hrs

PATIL & PARASNIS: MIXED LAYER HEIGHT OVER BAY OF BENGAL DURING SUMMER MONSOON 375

part (950-875 mbar) of the ABL and inversion layerin the surface [Fig. 1 (c)]. Constancy of 8v profile wasconsidered to estimate a mixed layer height. When the8v profile consists of three types of stability regimes[i.e. some part of ABL as unstable, some part as in-version (highly stable) and remaining part as constant8v (neutral conditions)], then in such cases the risingparcel methodology" was followed to estimate themixed layer height. In cases of inversions, it is diffi-cult to detect the mixed layer height.

4 Mixed layer height as a cloud base heightThe monsoon trough is the seat of cyclonic vortic-

ity in the lower troposphere, particularly, in the east-ern end of monsoon trough (over the north Bay ofBengal) where organized moist convection prevailsduring the monsoon months. In this region the upwardmotions carry boundary layer air away from theground to large altitudes throughout the troposphere.In these situations, it is difficult to define the bound-ary layer top. In these cases, cloud base is often usedas an arbitrary cut-off for boundary layer studies. Inorder to get the cloud base height with available ob-servations, the following empirical formula as sug-gested by Betts and Ridgway I has been used.

PB

=Po

_3901.0+0.35(300-To) ... (1)Vo

wherePB = Pressure at cloud base (mbar)Po = Surface pressure (mbar)Vo = Surface wind velocity (ms')To = SST (K)

Equation (1) gives the cloud base height using re-lationship between the surface pressure, SST and sur-face wind. The main advantage of the above formula[Eq. (1)] over the traditional formula'' for cloud baseheight (lifting condensation level) is that the latterdoes not take into account the surface wind speed.

The cloud base height estimated using Eq. (1) iscompared with that of mixed layer height observed bythe radiosonde ascents. This comparison is shown inTable 1. Table 1 shows that the values compare wellwith each other and are reasonable. This suggests thatthe cloud base height can be approximated to mixedlayer height during the monsoon conditions over theBay of Bengal.

5 Variation in cloud base heightBetts and Ridgway' explored the role of sur-

face wind speed along with SST and cloudiness in the

Table 1- Comparison of mixed layer (ML) andcloud base (CB) height

Date (1990) Time ML height CB heighthrs GMT mbar from Eq. (1)

mbar

23 Aug. 06 900 886

23 Aug. 12 926 939

28 Aug. 12 907 929

29 Aug. 12 905 921

30 Aug. 00 921 913

30 Aug. 12 890 881

1 Sep. 00 810 823

1 Sep. 12 840 824

8 Sep. 12 910 901

12 Sep. 06 785 760

13 Sep. 12 910 912

14 Sep. 12 902 916

18 Sep. 12 850 822

energy balance over the tropical oceanic region. Asthe wind speed changes, the moistening of the sub-cloud layer due to surface evaporation also changesaffecting the SST. The observed SST, cloud amountand wind speed along with cloud base (CB) height areshown in Fig. 2 [(a)-(d)] for the periods 18 August-lSeptember and 8-19 September. Observations werenot available during 2-9 Sep. 1990. In the Fig. 2 (d),the CB height show synoptic scale variation. Also inundisturbed period, diurnal variation in CB height isseen. During disturbed period, the CB height wasminimum. During the undisturbed conditions, evolu-tion of mixed layer depend on the surface heatingwhich has a diurnal characteristics. However, duringdisturbed conditions, increase in cloudiness reducesthe surface heating which disturbs the diurnal charac-teristics of heat. These characteristics were also sup-ported by the studies of the mixed layer over ArabianSea during Monsoon Experiment (MONSOON-77)which showed that the diurnal characteristics wereless pronounced during the disturbed period, whereasit was much pronounced in the undisturbed period".

During disturbed period, there was an increase insurface wind which was found to be associated withthe decrease in SST and increase in low cloudamount. Betts and Ridgway' showed the relationshipbetween SST, surface wind and cloudiness. With theincrease in wind speed, the SST has shown a de-crease. The surface wind is responsible for forcing the

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376 INDIAN J RADIO & SPACE PHYS, DECEMBER 2003

30.0,........~~~~~~-----------------------.

(a)

28.0'--_.L.-_.L.-_.L.-_.L..-_.L..-_.L..-_~18 20 22 24 26 28 30 01

18 Aug. - 1 Sept, 19909 11 13 15 17 19

8 - 19 Sept. 1990

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9 11 13 15 17 1918 20 22

18 Aug. - 1 Sept, 1990 8 - 19 Sept. 199012- ~

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18 Aug. - 1 Sept, 1990 8 - 19 Sept. 1990750~---------------------~------------------------------ _.

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§ 850.... •• III ••• •••• •!il • ~ • •••••l.I.:l • • •ell . -. ••• .. • ~ • •• •<:III 900 ~ ••••• • • • •• •• .. •••• •§ ". • III •

• .", ••• • • • • • •. ,-:- \ •0 •• • •....l • •••• • • • • • • .•U .~ • • ••• • • • •• .. • • •• • • •

950.. '. • •... • •

•• •

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·18 20 22 24 26 28 30 01 9 11 1"3 1"5 17 19

18 Aug. - 1 Sept, 1990 DATE 8 - 19 Sept. 1990

Fig. 2-Diumal variation of (a) SST, (b) Cloud amount, (c) Wind speed and (d) Cloud base height for the period 18 Aug.-l Sep. and 8-19Sep.,1990

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Sep. and 8-19

boundary layer over the land surfaces. The surfacefluxes of sensible heat, latent heat and momentumwere estimated using the profile method based onMonin-Obukhov similarity theory by assuming aroughness length of 2 mm over Bay of Bengal!!. Thegradient between SST and air temperature, and windspeed (at only one height) combined with roughnesslength were used to compute the similarity func-tions!2. Numerical iteration method':' was used tocompute frictional velocity (u.) scaling temperature(8.) and scaling humidity (q.).The surface fluxes ofsensible heat (H), latent heat (E) and momentum (r)were estimated using following relations.

PATIL & PARASNIS: MIXED LAYER HEIGHT OVER BAY OF BENGAL DURING SUMMER MONSOON 377

H = -pCp8.u.

E=-pLvq·u.

(3)

(4)(5)

surface evaporation. At low wind speed, the mixedlayer dries rapidly and SST increases sharply.

The inverse relationship between the wind speedandcloud base level was observed as suggested by theBetts and Ridgway'. During disturbed period, highvalues 'of winds were associated with the decrease inCB height or increase in cloudiness. Deep convectiveclouds play an important role in injecting mass intothe boundary layer in the form of convective down-drafts. The downdraft-injection usually consists of dryand cool air and can be accompanied by locally gustywinds. So, they tend to lead enhanced surfacefluxes'", A given upward surface sensible heat fluxcan rapidly increase the temperature of the shallowboundary layer where the same flux will warm up adeep boundary layer slowly. Due to warming, the sur-face fluxes reduce and hence the shallow boundarylayer has weak surface fluxes, while a deep boundarylayer can have much stronger fluxes.

Analogous to the formula of Betts and Ridgway',the following formula is tested for the estimation ofCB height over the Bay of Bengal region.

PB

=Po

_3901.0+0.35(300-T)Vo

2r =-p u;

where, L, is the latent heat of water vaporization, Cp

the specific heat at constant pressure and p the den-sity of air. Details on the profile method and proce-dure of iteration are given by Bercowicz and Prahm':'.

Over the ocean surface, the boundary layer heightis generally determined by the strength of wind stressand the sensible heat flux. Additionally, in the oceanregion which is close to the land, the presence of drycontinental air-masses at higher altitudes may alsoinfluence the mixing process and contribute to thegrowth of boundary layer. The dependence of bound-ary layer height with respect to momentum, sensibleheat and latent heat fluxes are given in Fig. 4 [ (a)-(c)]. It is observed that mixed layer height dependsweakly on the fluxes of sensible and latent heat, but itmoderately depends on momentum flux. A lot ofvariations in mixed layer height were observed for themomentum flux less than 0.03 N m-2

• For the highermomentum flux, the mixed layer height appears to beapproximately constant at 920 to 900 mbar.

Results from the recent study of marine boundarylayer over Indian ocean also showed the dependencyof mixed layer height on surface fluxes in the south-ern hemisphere". However, the same study suggeststhat in the northern hemisphere, the mixed layerheight does not depend on the surface fluxes alone.This corroborate the results of the present study.

7 SummaryVirtual potential temperature profiles obtained

from the meteorological observations collected duringMONTBLEX, in the vicinity of the depression/low

... (2)

where, T is the air temperature at deck level. InEq. (2), the air temperature is considered instead ofSST. This has been done because of the difficulties inmeasuring SST. The comparison of estimated CBheight using Eqs (1) and (2) is shown in Fig. 3.

6 Dependency of mixed layer height and surfacefluxesIt is understood that the surface fluxes of heat and

momentum play an important role in the evolution of·550 i I I I i ,/1

600

~650 j""0- 700w

'" 7501 A';c:.;;;2-I- 800IoW 850ICDU 900

950

1000 I' I I I I I I I I I1000 950 900' 850 ·800 750 700 650 600 550

CB HEIGHT [using eq.(2)J

Fig. 3-Comparison of cloud base height (mbar) estimated byEqs (1) and (2)

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378 INDIAN J RADIO & SPACE PHYS, DECEMBER 2003

(a)

~..~+-~----~----~~--~----~--~

0.01 0.02 0.03 0.04 0.05 0.06MOMENTUM FLUX, Nnr2

(b)

E ·800E

~ 850oWI--' ." 900 .

6 8 10 12SENSIBLE HEAT FLUX, Wnr2

14 16

B800E

~85Oo!j!;il900

(e)

'...

20 30 40 50 60LATENT HEAT FLUX, Wnr'

70 80

Fig, 4-Mixed layer height with respect to fluxes of (a) Momen-tum, (b) Sensible heat and (c) Latent heat

pressure systems showed different characteristics. Themeteorological parameters (SST, wind speed andpressure) showed synoptic scale variation. The em-pirical relations for the CB height given by Betts andRidgway 1 were tested against the height of mixedlayer and they showed good agreement over the Bayof Bengal during monsoon conditions. This suggestedthat CB height and mixed layer height can be treatednearly equally during the monsoon conditions overBay of Bengal. The CB height showed diurnal varia-tion during undisturbed period when the cloudamounts were low. The dependency of mixed layer

height with respect to turbulent fluxes in the surfacelayer was found to be poor.

AcknowledgementsThe MONTBLEX programme was sponsored and

financed by the Department of Science and Technol-ogy, New Delhi (Govt. of India). The surface mete-orological observations over the Bay of Bengal werecollected by the National Institute of Oceanography,Goa. The authors would like to thank Dr G B Pant,Director, Indian Institute of Tropical Meteorology(IITM), Pune, for his keen interest in the studies andencouragement. During the course of this work,authors had numerous discussion with Dr B S Murthyof IITM, Pune.

References1 Betts.A K & Ridgway W, J Atmos Sci (USA), 46 (1989) 2621.2 Singh 0 P, Mausam (India), 43 (1992) 399.3 Sivaramakrishnan S, Patil M N &.Vernekar K G, Proc Indian

Acad Sci (Earth & Planet Sci), 105 (1996) 3l.4 Sikka D R & Narasimha R, Proc Indian Acad Sci (Earth &

Planet Sci), 104 (1995) 157.5 Oceanographic and Meteorological data - (ORV Sagarkanya)

Cruise - 56; MONTBLEX-90, NIO, Goa, Nov. 1990.6 Srivatav S K, Proc Indian Acad Sci (Earth & Planet Sci), 104

(1995) 189.7 Stull R B, Bull Am Meteorol Soc (USA), 72 (1991) 1521.8 Parasnis S S & Morwal S B, Bound-Layer Meteorol (Nether-

lands), 71 (1994) 197.9 Parasnis S S & Morwal S B, Bound-Layer Meteorol (Nether-

lands), 63 (1993) 365.10 Johnson R H, J Atmos Sci (USA), 33 (1976) 1890.11 Counihan J, Atmos Environ (UK), 9 (1975) 871.12 Businger J A, Wyngaard J C, Izumi Y & Bradley E F, J At-

mos Sci (USA), 28 (1971) 181.13 Berkowicz R & Prahm L R, Atmos Environ (UK), 16 (1982)

122809.14 Vijayakumar Manghnani, Sethu Raman, Devdutta S Niyogi,

Vinayaka Parameswara, John M Morrison, Ramana S V &Raju J V S S, Bound-Layer Meteorol (Netherlands), 97(2000) 411.

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