(From the QuARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY Vol. 81. No. 350. October 1955). I Some recent heights measurements of about By R. J. MURGATROYD, of humidity 50,000 ft over P. GOLDSMITH from southern England and W. E. H. HOLLINGS Meteorological Research Flight, Farnborough, Hants. I aircraft up to 551.571.7 Some recent heights By R. J. measurements of humidity from aircraft up of about 50,000 ft over southern England MURGATROYD, Meteorological P. GOLDSMITH and W. E. H. HOLLINGS Research Flight, Farnborough, (Manuscript to Hants. received 25 May 1955) I 1 SUMMARY The humidity of aircraft up to heights point decreased with - 115°F to - 120°F the air was measured with a pressurized Dobson-Brewer hygrometer in a Canberra of about 50,000 ft over southern England on 35 occasions during 1954. The frost increasing height in the stratosphere and usually approached a constant value of a few thousand feet above the tropopause. 1. INTRODUCTION The humidity measurements in the upper troposphere and lower stratosphere made in aircraft of the Meteorological Research Flight at Farnborough and the High Altitude Flight at Boscombe Down from 1943 to 1950, which have been presented by Bannon, Frith and Shellard (1952), extended up to a height of about 40,000 ft, the ceiling of the piston-engined aircraft then available. Late in 1953 a Canberra jet aircraft was obtained and it then became possible to extend the ceiling of these measurements to about 50,000 ft. 35 ascents were made for this purpose in 1954 and are described below. 2. INSTRUMENTATION The pressurized form of the aircraft frost-point hygrometer described by Brewer, Cwilong and Dobson (1948) was used for these measurements. This instrument requires experienced operators to obtain measurements of frost points below about - 100°F, and when they are below - 120°F the frost deposit becomes difficult to recognize. In order to extend its range and, incidentally, guard against possible small leaks of cabin air into the instrument, measurements were also made on some occasions using air which had passed through the jet engine compressor, a method due to Goldsmith (1955). Good agreement was obtained between the frost points measured in this way and those obtained using outside air directly. Temperatures were measured using Meteorological Office flat-plate resistance thermometers with balanced-bridge indicators, the readings being corrected for airspeed. 3. j I THE OBSERVATIONS All the readings of temperature and frost points obtained have been listed in Table 1. The mean values at the heights given have been plotted to obtain the mean curves shown in Fig. 1. In addition mean temperature and frost-point values have been plotted at heights above and below the tropopause in the two groups shown in Fig. 2. The group listed as 'high tropopause' cases refers to ascents when the tropopause was above 35,000 ft and that of the' low tropopause' cases to occasions when it was below that level. 4. DISCUSSION The preliminary results from this set of measurements are: (1) The frost point over southern England decreases with height above the tropopause and tends to approach a constant value, usually between - 115°F and - 120°F, a few thousand feet above this level. 533 R. 534 TABLE J. MURGATROYD, 1. P. GOLDSMITH TEMPERATURE AND FROST POINT (IN BRACKETS) I.C.A.N. 19 Jan. Height Pressure (ft) (mb) 1335 22 Feb. 24 Feb. 25 Feb. 1555 1110 1115 843 697 572 465 376 +49(-) +34(+10) +18 (-21) -03 (-46) -24(-62) +42(+27) +33(+12) - (-14) -08(-29) -29 (-63) +34(+21) +17(+04) -03(-19) -25(-42) -46 (-66) +42(+17) +12(-04) +01(-52) -21(-64) -31 (-71) +28(+15) 30,000 32,000 33,000 34,000 35,000 301 274 262 250 238 -50 (-63) -so -54 (-8S) -53 (-81) -55 (-87) -5S (-77) 36,000 37,000 38,000 39,000 40,000 227 216 206 197 187 41,000 42,000 43,000 44,000 45,000 178 170 162 155 147 46,000 48,000 49,000 50,000 51,000 140 127 121 116 111 -65 (-75) OF, INDIVIDUAL ASCENTS Dates 5 Mar. 10 Mar. Times (GMT) 1505 1220 5,000 10,000 15,000 20,000 25,000 (-57) -60 (-66) HUMIDITY and W. E. H. HOLLINGS -09(-67) -48 (-68) (1954) TABLE 11 Mar. 22 Mar. 23 Mar. 1515 1505 1600 +41( +21) +22(-25) +07 (-28) -14(-41) -35 (-66) -60 (-92) +35(-) +27 (-37) +06 (-33) -18(-54) -37 (-58) 5,000 10,000 15,000 20,000 25,000 843 697 572 465 376 -57 (-82) 30,000 32,000 33,000 34,000 35,000 301 274 262 250 238 36,000 37,000 38,000 39,000 40,000 227 216 206 197 187 41,000 42,000 43,000 44,000 45,000 178 170 162 155 147 46,000 48,000 49,000 50,000 51,000 140 127 121 116 111 -52 (-74) -59 (-79) -50 (-81) -56 (-85) -52 (-53) -59 (-67) -65 (-83) -60 (-91) -66 (-73) -71 (-97) -78 (-85) -78 (-77) -61 (-98) -54 (-102) -82(-90) -84(-87) -62(-102) -51(-10S) -81(-99) -85(-92) -56(-108) -50(-112) -71 (-113) -78 (-102) -55 (-115) -54 (-115) -64(-109) I.C.A.N. Height Pressure (ft) (mb) +42(+25) +33 (-02) +14 (-40) -07(-19) -26 (-28) -62 (-90) -69 (-74) -55 (-103) -69(-89) -61(-98) -69(-79) -70(-97) -59(-109) -71(-86) -65 (-105) -57 (-115) -70 (-93) -52 (-111) -63(-113) -57(-119) -66(-101) -52(-117) 1 J -61 (-112) -72(-124) -67(-105) -59(-115) -55(-117) -59(-115) -63(-115) -58(-122) -59(-108) -51(-119) -72(-121) -71 (-120) -63(-107) -64 (-108) -56(-113) -57 (-113) -55(-116) -50 (-118) -61(-116) -61 (-117) -63 (-117) -63(-119) -60 (-120) -64(-123) -63 (-122) -57(-115) -54 (-117) -52(-120) -52 (-121) -71 (-121) -67 (-107) -61 (-113) -54 (-118) -62 (-120) -6S (-122) -59 (-120) -55 (-120) I.C.A.N. 25 May Height Pressure (ft) (mb) 1345 28 May 10 June 11 June 28 June 29 June 1 July 0935 1100 0930 1015 0915 1415 5,000 10,000 15,000 20,000 25,000 843 697 572 465 376 +45 (+38) +25 (+12) +11(+13) -04 (-09) -27 (-26) +55(+35) +34 (+25) +17(+15) -02 (-03) -22 (-38) 30,000 32,000 33,000 34,000 35,000 301 274 262 250 238 -48(-49) -58 (-62) -41(-46) -49 (-56) -64 (-76) -57 (-62) 36,000 37,000 38,000 39,000 40,000 227 216 206 197 187 41,000 42,000 43,000 44,000 45,000 178 170 162 155 147 46,000 48,000 49,000 50,000 51,000 140 127 121 116 111 +49 (-01) +38(+25) +22(+14) +04(-11) -20 (-36) -51(-74) -61(-90) -42(-57) -39(-48) -52(-65) -51(-103) -67(-78) -60(-67) -58(-105) -68(-106) -44(-115) -56(-104) -76(-90) -42(-108) -46 (-lIS) -59 (-108) -63 (-107) -44 (-110) -58 (-112) -59(-119) -48(-120) -47 (-121) -49(-) -60(-111) -58 (-110) -60(-117) -60 (-118) -61 (-119) -47(-111) -47 (-) -46 (-120) 1440 1025 -41 (-104) +49(+26) +33(-11) +17(-44) -02(-55) -18(-36) +58 (+24) -49(-83) -38(-56) -44(-57) -35(-52) -51(-59) -53(-58) -55(-70) -52(-65) -64(-69) -61(-83) 11 Aug. 17 Aug. 23 Aug. 1000 1100 1000 +38 (+34) +25 (+17) +03(-14) 00(-12) -11 (-38) -47(-53) -42(-67) -50(-77) -58(-75) -53(-80) -56(-62) -57(-86) -65(-75) -51(-87) -49(-92) -61(-84) -54(-99) -53(-93) -66(-92) -46(-92) -51(-96) -60(-95) -49(-99) -49(-98) -69(-73) -45(-99) -51(-103) -52(-103) -48(-105) -58(-112) -54(-105) -65(-86) -47(-100) -54(-106) -56(-107) -49(-106) -55(-116) -56(-110) -67(-90) -48(-108) -54(-111) -59(-113) -46(-110) -50 (-111) -49 (-116) -57 (-115) -56(-117) -59 (-116) -60 (-118) -49 (-112) -51 (-113) -56 (-121) -62 (-121) -56 (-118) 21 Dec. 22 Dec. 1420 1355 -42 (-102) -42(-112) -41 (-115) -42 (-112) -46(-117) -49(-118) -45(-113) -48(-116) -53(-119) -56(-119) -60(-114) -59(-118) -68(-90) -67(-89) -49(-) -45 (-117) -57 (-121) -60 (-120) -61 (-99) 9 Dec. 10 Dec. 13 Dec. 1210 1045 1100 227 216 206 197 187 -66(-73) -54(-110) 36,000 37,000 3S,OOO 39,000 40,000 41,000 42,000 43,000 44,000 45,000 178 170 162 155 147 46,000 48,000 49,000 50,000 51,000 140 127 121 116 111 -52(-117) -53 (-119) -50 (-118) Dates 5 Aug. 10 Aug. Times (GMT) 1010 1100- +18(-04) -01(-33) -22(-35) -40(-59) -43(-111) -60(-79) 1 j 535 -66(-96) -39 (-61) -52 (-115) -45(-120) -47 (-120) 0950 301 274 262 250 238 -45 (-120) -45(-118) -45 (-118) 1510 30,000 32,000 33,000 34,000 35,000 -45 (-41) -44(-117) -46 (-114) -54(-113) -57 (-117) -44(-112) 4 Aug. 843 697 572 465 376 -47(-107) -46(-113) 14 July '-45(-85) STRATOSPHERE 1 (continued) 6 July 5,000 10,000 15,000 20,000 25,000 -50(-99) -64(-85) -71(-91) -47(-62) -55 (-6S) -53(-95) -61 (-Sl) -62(-101) -55 (-114) -54(-120) -54(-74) +40(+33) +33(+12) +15 (00) -05 (-34) -25 (-48) LOWER 5 July I.C.A.N. 26 Aug. Height Pressure (ft) (mb) 1005 -57(-84) -48(-92) -67(-86) Dates 16 June 24 June Times (GMT) 0940 0835 OF THE -31 (-40) +42(-) +31 (-37) +15(+09) -07(-12) -30 (-40) +40 (-03) +27 (00) +16 (-38) -10(-54) -33 (-56) -67 (-93) -66(-104) -51 (-59) -60(-74) -48 (-64) -55(-69) -57 (-77) -65(-80) -68(-110) -67(-82) -66(-71) -73(-84) +08 (-26) -13 (-43) +08(-10) -60 (-63) +05(-19) -54 (-65) -67 (-81) -65(-93) -66 (-98) Dates 14 Dec. 20 Dec. Times. (GMT) 1100 1420 -65 (-104) +43 (+31) +24 (+18) -04 (-55) -26 (-39) -45 (-68) +27 (+15) +09 (00) -11(-19) -25 (-41) -49 (-63) -57(-76) -66(-75) -70 (-71) -64(-113) -72(-86) -76(-81) -77(-89) -76(-91) -69(-116) -69(-97) -82(-91) -81(-98) -83(-90) -68 (-120) -70 (-107) -75 (-105) -77 (-104) -64 (-93) -68 (-121) -72 (-108) -75 (-116) -81 (-111) -59(-105) -72(-122) -68(-112) -74(-119) -75(-113) -69 (-111) -67(-81) -68(-112) -66 (-85) -95 (-98) -92 (-100) -69(-112) -97 (-109) -84(-114) -82 (-111) -62 (-110) -66(-111) -65(-116) -66 (-118) -71 (-122) -75(-122) -70 (-116) -75(-115) -75 (-123) -76(-123) -80 (-115) -73(-117) -84 (-117) -77 (-117) -72 (-117) -76 (-125) -73 (-117) -73(-119) 536 R. J. MURGATROYD, P. GOLDSMITH 50 rr= (z~) I , , (Z4 \ 1 , (23). ' 5 • • ,'''' 12) (13) _ ~ , \ TE"'PERATUR._I- --- , Q (20) ,, '\<:+~~)~ - \ 5 I0 -100 -80 .. F .. 000 '4~ ~ -120 -;.----o} HIGI-4 ~VE ~ I 35,OOOFT. ANO az.OOO FT. IWavG£ T~S. ~T. A~O 36,000 - AVERAGE a7.7SO FT. r ~ -l----I---+--l-I--l---I---I---l -GO 1T POINT6 \ \\ (;35)_ " 5 TEMPE'!ATU~E:S -I'I<05T 1>0"'''5 N. OF CASES. (10) \ +\ (14) "(315) POINT \ 01- +-~ ~ \ • \".000 (23) ,-----J.f-( (12) • ,(Ia) • ',(14) O_~05T I .137 (23 ,, t: _ ~ __ \ (a~j <:,(Z3) -+-__ ~ ',+ 1IG,OOO / (2~ (az) I 8£L.a.oi - (~) \ (2~) I fn_} ..OW TI1OPS. (az) (32) 5 HUMIDITY OF THE LOWER STRATOSPHERE .zo,ooo II (3<) ',.(31) \ W. E. H. HOLLINGS and -zo -40 TEMPEAATURE 69) e ~18) I " !~~_-+_~~-+_~__ \1\", / V ~ \\,\1\ -"""' .. \~\ \~ ~l\~'~~~~'_-+__ I \~~\ \\ '\_ _~-+~_-+ -12.000 - o __ -l-_~ 2 --+---+---\-''I---''<-J.-'<----If------I ~ F ~ Figure 1. Mean values of temperature and frost point, M.R.F. ascents 1954. -16,000 (2) The lapse rate of frost point also decreases with height, being on the average about 4°F in the 1,000ft above the tropopause but less than 1°F per 1,000 ft at heights of about 15,000 ft above the tropopause. Usually no discontinuity in the lapse rate of frost point was observed at the tropopause. In some cases however the change from a large lapse rate of frost point to a lower lapse rate higher up appeared to be discontinuous, suggesting a ' humidity tropopause' a few thousand feet above the temperature tropopause. The distance between these two levels varied between 2,000 and 10,000 ft and no relationship between it and other meteorological variables has yet been noticed. (3) Owing to aircraft unserviceability the ascents could not be evenly spaced throughout the year but readings were obtained in all four seasons. No significant difference of frost point at 50,000 ft between winter and summer has been found. (4) When the heights are referred to the tropopause level the ' high tropopause' cases show a lower temperature and also a lower frost point, level for level, compared with the 'low tropopause' cases. In general, high and low values of frost points in the lowest 10,000 ft or so of the stratosphere correspond well with high and low frost-point values at the tropopause, but this correspondence disappears at higher altitudes as the frost point approaches constancy. The accuracy of the temperatures quoted is thought to be ± 2°F, a value deduced from the variability of the airspeed correction of the flat-plate thermometer in trials made for this purpose at high speeds with the Canberra aircraft. The heights quoted may be up to 500 ft in error, a figure obtained from comparative trials between the pilot's altimeter and a radar altimeter. The frost points have a random error of ± 3°F due to uncertainties in reading the hygrometer under these conditions. An analysis of humidities measured with this instrument in the neighbourhood of high cloud by Murgatroyd and Goldsmith (1953) gave the result that the air there had a frost point on the average 3°F Jower than would have been expected if the air were saturated with respect to ice. This -4 4-_~T~R~~~~~~S~E-+ ~\\ ~ +----+---+---+--"r~---'c----+-\\ \ '" ~\~--4 -~O ®o'~.~~--_~~~---_+~0~---4~O~--~-~20~-~0~-~.~ 'rDAI='£Ji2'AT'uRC •F Figure 2. Mean values of temperature and frost point relative to height of tropopause. suggests that the instrument may also have a constant error, reading somewhat low at these altitudes but it is unlikely that the error will be more than a few degrees Fahrenheit. The general picture obtained from these measurements is therefore one of variable frost points at the tropopause tending to constancy of frost point at - U5°F or so at levels of 10,000 to 15,000 ft above it. The air at these altitudes is therefore very dry with a relative humidity with respect to ice of less than 1 per cent. The range of variation of frost-point values there is usually small although considerably higher frost-point values were observed on one occasion (5 August 1954). These values of frost point are in general agreement with those expected from the tendency observed at the greatest heights by Bannon, Frith and Shellard (1952), although they are a few degrees lower. It is hoped to continue measurements of this type throughout 1955. ACKNOWLEDGMENT We are indebted to the Director of the Meteorological publish this paper. Office for permission to REFERENCES Bannon, J. K, Frith, R. and Shellard, H. C. Brewer, A. W., Cwilong, B. M. and Dobson, G. M. B. Goldsmith, P. Murgatroyd, R.]. and Goldsmith, P. 1952 Met. Off., Geophys. Mem., London, No. 88. 1948 1955 1953 Proc. Phys. Soc., 60, p. 52. Quart.]. R. Met. Soc., 81, p. 607. Air Ministry, Met. Res. Cttee., M.R.P., No. 833,