Evaluating Models Of The Neutral, Barotropic Planetary Boundary Layer Using Integral Measures: Part Ii. Modelling Observed Conditions

The steady-state, horizontally homogeneous, neutral, barotropiccase forms the foundation of our theoretical understanding of the planetary boundary layer (PBL).While simple analytical models and first-order closure models simulate atmospheric observationsof this case well, more sophisticated models, in general, do not. In this paperwe examine how well three higher-order closure models, E - - l, E - l, and LRR - l,which have been especially modified for PBL applications, perform in predicting the behaviour of thecross-isobaric angle ₀, the geostrophic drag coefficient C_g, and the integral of the dissipationrate over the boundary layer, as a function of the surface Rossby number Ro. For comparison we alsoexamine the performance of three first-order closure mixing-length models, two proposed byA. K. Blackadar and one by H. H. Lettau, and the performance of the standard model forsecond-order closure and a modification of it designed to reduce the overprediction of turbulence inthe upper part of the boundary layer.     

Gas and Particulate Products Distribution from the Photooxidation of α-Humulene in the Presence of NOx, Natural Atmospheric Air and Sunlight

The photooxidation of -humulene in the presence of NO_x, natural sunlight, and rural background air was investigated using a combination of gas chromatography-mass spectrometry (GC-MS) and high performance liquid chromatography (HPLC). Identification and quantification of gas and particulate reaction products were reported over the course of the reaction. The daytime photooxidation was carried out in a large outdoor smog chamber (190 m³). A wide range of ring retaining and ring opening products in the gas and particle phase are reported. On average, measured gas and particle phase products accounted for 44% of the reacted -humulene carbon. Measurements show that a number of reaction products with low vapor pressures (e.g. 3-seco--humulone aldehyde, 7-seco--humulone aldehyde, -humulal aldehyde, -humulene 3-oxide or -humulene 7-oxide, -humulaic/alic acid isomers, and 3-seco--14-hydroxyhumulone aldehyde) were found in the early stage of the reaction and may play an important role in the early formation of secondary organic aerosol. A detailed mechanism is proposed to account for most products observed in this investigation.     

The use of σ T as a temperature scale in the atmospheric surface layer

The standard deviation of temperature _T is proposed as a temperature scale and as a velocity scale to describe the behaviour of turbulent flows in the Atmospheric Surface Layer (ASL), instead of _* andu _* of the Monin—Obukhov similarity theory, and ofT _f andU _f used for free convection stability conditions. On the basis of experimental evidence reported in the literature, it is shown that _T T _f andv _* U _f in the free convection region, and _{T *} andv _* U _* in nearneutral and stable conditions. This implies that the proposed scales can be applied for all stabilities. Furthermore, a new length scale is proposed and its relation with Obukhov length is given. Also, a simple semi-empirical expression is presented with which _T andv _* can be evaluated in a rather simple way. Some examples of practical applications are given, e.g., a stability classification for unstable conditions.     

A generalization of the Kolmogorov-von Kármán relationship and some further implications on the values of the constants

A general relation between the Kolmogorov (₁) and von Kármán (k) constants appropriate to flows in the surface boundary layer is obtained by including stability and divergence dependent terms in the development. The result is used to show that the author's earlier inference of the valuek = 0.36 drawn from the observed value ,k ^4/3=0.141 cannot have been underestimated due to the neglect of stability or divergence effects. It is concluded that if k is to be 0.4, then ₁ must be 0.5.Work performed under the auspices of the U.S. Energy Research and Development Administration.     

The behaviour of aerosol optical depth during clear summer days in Athens,Greece

Summary The integral aerosol optical depths (k ) at the hour of 08:20 Local Standard Time (LST), are compared with those calculated previously at 11:20 and 14:20 LST, for clear days during summer in Athens over the period 1962–1988. The mean values at 08:20 LST were consistently lower than the values at 11:20 and 14:20 LST. The influence of the vertical wind profile on the values ofk was also investigated. A comparison was made of the wind profiles at 02:00 and 14:00 LST, for days in which the 11:20 and 14:20 LST values ofk were 0.200 andk 0.350, respectively. The corresponding bulk wind shear s was also found for the period 1980–1988. The most significant results occurred with the first category of days. The resultant wind velocities from the surface to the 900 hPa level, in each hour were higher by 2–4 m·s^–1 with respect to the corresponding values for the second category. At 02:00 LST the bulk wind shear showed a considerable difference (1.8) between the two categories of days in the surface to 700 hPa layer at 02:00 LST. Finally, the associated weather conditions that appear to initiate a period of low values ofk (k 0.200) at 11:20 and 14:20 LST were examined for the period 1980–1988. Fifteen such cases were identified and it was found that they all occurred after the passage of weak cold fronts.With 6 Figures     

The effect of synoptic-scale advection on the performance of the Priestley-Taylor evaporation formula

Measurements of the appropriate parameters for the calculation of the latent heat flux over a black spruce forest in northern Quebec were carried out in August, 1980. Values of the Priestley-Taylor parameter, , were derived by exploiting the Bowen-ratio-energy-balance (BREB) technique. Derived values of are then related to synoptic-scale warm air advection, derived from surface synoptic charts and tephigrams of the planetary boundary layer. It is found that when warm air advection is present, > 1.26, especially when the surface is wet. When advection enhancement is removed, however, values of approach unity. A new approach to calculating the latent heat flux, when warm air advection is present, is therefore proposed.     

Scavenging Efficiency of ‘Aerosol Carbon’ and Sulfate in Supercooled Clouds at Mt. Sonnblick (3106 m a.s.l., Austria)

Cloud water and interstitial aerosol samples collected at Mt. Sonnblick (SBO) were analyzed for sulfate and aerosol carbon to calculate in-cloud scavenging efficiencies. Scavenging efficiencies for sulfate (_SO) ranged from 0.52 to 0.99 with an average of 0.80. Aerosol carbon was scavenged less efficiently with an average value (_AC) of 0.45 and minimum and maximum values of 0.14 and 0.81, respectively. Both _SO and _AC showed a marked, but slightly different, dependence on the liquid water content (LWC) of the cloud. At low LWC, _SO increased with rising LWC until it reached a relatively constant value of 0.83 above an LWC of 0.3 g/m³. In the case of aerosol carbon, we obtained a more gradual increase of _AC up to an LWC of 0.5 g/m³. At higher LWCs, _{_} remained relatively constant at 0.60. As the differences between _SO and _A varied across the LWC range observed at SBO, we assume that part of the aerosol carbon was incorporated into the cloud droplets independently from sulfate. This hypothesis is supported by size classified aerosol measurements. The differences in the size distributions of sulfate and total carbon point to a partially external mixture. Thus, the different chemical nature and the differences in the size and mixing state of the aerosol particles are the most likely candidates for the differences in the scavenging behavior.     

Stable boundary layers: observations,models and variability part II: Data analysis and averaging effects

As argued in Part I (Derbyshire, 1995), variability is a key issue in stable boundary layers, and differences in variability between observations and idealized models may imply sytematic biases. Here we discuss how data analysis can be geared to allow for variability and thus consistency with models. Instrumental errors, smoothing methods and vertical discretization are considered. We then show how statistical averaging broadly improves the agreement of heterogeneous results in Part I with the Brost-Wyngaard closure. Recommendations are made for the information needed to analyze apparent differences between homogeneous and heterogeneous stable boundary layers.Part of UK Meteorological Office Atmospheric Processes Research Division     

The impact of turbulence closure schemes on predictions of the Mixed Spectral Finite-Difference model for flow over topography

Impacts of different closure schemes in the Mixed Spectral Finite-Difference model (Beljaarset al., 1987) for neutrally stratified atmospheric surface-layer flow over complex terrain are studied. Six different closure schemes, (Z+z ₀), Mixing Length,E–(Z+z ₀),E–,E–– andq ² l are compared. Model results for flow over an infinite series of sinusoidal ridges are examined in the context of the inner and outer layers defined by Jackson and Hunt (1975). Results are compared with rapid distortion estimates of the changes in normal stresses. The effects of streamline curvature are also examined in a qualitative sense.     

On the enhanced smoothing over topography in some mesometeorological models

An equation is derived for the components of the horizontal (turbulent) frictional force in the -coordinate system with special attention to mesometeorological flow models. The starting point is the horizontal equation of motion in its flux-form in the -system in which we replace (following Reynolds' procedure) the velocity components u,v and % MathType!MTEF!2!1!+- % feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGafq4WdmNbai % aaaaa!37B8! \[ \dot \sigma \] aswell as other relevant quantities by terms of the form u = + u,..., = ± + % MathType!MTEF!2!1!+- % feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGafq4WdmNbai % Gbauaaaaa!37C3! \[ \dot \sigma ' \] , etc. ( = time average of u; u = fluctuating part of u.) Next, the equation is averaged with respect to time and terms which we believe are small in mesometeorological flows, are neglected. On expressing by an appropriate expression that involves w, the result shows the appearance of two new terms which, have not been considered previously in the published literature. While the expression earlier used in the literature involved the -derivative of % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaa0aaaeaace% WG1bGbauaaceWG3bGbauaaaaaaaa!380B!\[\overline {u'w'} \] alone, the new terms add the -derivatives of % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaa0aaaeaace% WG1bGbauaadaahaaWcbeqaaiaaikdaaaaaaaaa!37EC!\[\overline {u'^2 } \] and % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaa0aaaeaace% WG1bGbauaaceWG2bGbauaaaaaaaa!380A!\[\overline {u'v'} \] for the x-component of the force, and the -derivatives of % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaa0aaaeaace% WG2bGbauaadaahaaWcbeqaaiaaikdaaaaaaaaa!37ED!\[\overline {v'^2 } \]} and % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaa0aaaeaace% WG1bGbauaaceWG2bGbauaaaaaaaa!380A!\[\overline {u'v'} \] for the y-component, where and are the slopes of the -surfaces in the x- and y-directions, respectively. Further, a few numerical simulations of the sea-breeze over topography are carried out with and without the correction terms. It is shown that when corrections terms are not included the effective smoothing is stronger above the sloping regions and may amount to as high as 50 percent of the convergence with slopes of ~.04. The ìnclusìon of the new terms does not lead to any special computational difficulties and for that reason there is no compelling reason to neglect them, all the more so because, as is shown, the addition of the new terms results in a consistent apportioning of the degree of horizontal diffusion.On leave from CIMMS, Norman, OK.Now visiting Dept. of Met., Helsinki, Finland.     

The validation of various schemes for parameterizing evaporation from bare soil for use in meteorological models: A numerical study using in situ data

Parameterization of evaporation from a non-plant-covered surface is very important in the hierarchy strategy of modelling land surface processes. One of the representations frequently used in its computation is the resistance formulation. The performance of the evaporation schemes using the , , and their combination resistance approaches to parameterize evaporation from bare soil surfaces is discussed. For that purpose, the nine schemes, based on a different dependence of and on volumetric soil moisture content and its saturated value, are used.The tests of performances of the considered schemes are based on time integrations by the land surface module (BARESOIL) using observed data. The 23 data sets at a bare surface experimental site in Rimski anevi, Yugoslavia on chernozem soil, were used for the resistance algorithm evaluation. The quality of the schemes was compared with the observed values of the latent heat flux using several statistical parameters.     

Measurements of solar radiation and estimation of optical depth in the high Andes of Peru

Summary During an expedition to the high Andes of Southern Peru in June–July 1977, measurements of direct solar radiation in four spectral bands (0.270–0.530–0.630–0.695–2.900 ) were conducted at six sites in elevations ranging from sea level to 5645 m. These measurements were evaluated in Langley plots to determine total optical depths () and irradiances at the top of the atmosphere. In addition, water vapor optical depths (_wv) were calculated from the mean radiosounding over Lima during the expedition, and Rayleigh (_ray) and ozone (_oz) optical depths were obtained from published tabulations. Subtracting _ray, _oz, and _wv from yielded estimates of aerosol optical depth _aer. The components _ray and _oz decrease from the shorter towards the longer wavelength bands and from the lower towards the higher elevation sites; _aer also decreases towards the higher elevations. Particularly pronounced is the decrease of _aer and from the lowlands of the Pacific coast to the highlands of the interior, reflecting the effect of a persistent lower-tropospheric inversion and the contrast from the marine boundary layer to the clear atmosphere of the high Andes.With 4 Figures     

Mean stresses and velocities in the neutral,barotropic planetary boundary layer

The purpose of the paper is to find the mean velocities and stresses in the turbulent, neutral, barotropic planetary boundary layer (PBL). Correction functions are introduced similar to those used by Millikan and Hinze in discussions of flows in a pipe and in a turbulent boundary layer. The functions for the PBL are determined semi-empirically and, with a choice of constants, the resulting velocity distributions are in reasonable agreement with the Leipzig profile. The paper also discusses the correction functions for pipe and boundary-layer flows and for plane Couette flow. The results are in excellent agreement with observations.     

The components of the diurnal variation of temperature on Mt. Washington and other summits

Summary The variations of ten year's hourly temperature averages on Mt. Washington, N. H., are investigated. The results, especially the unexpected ones, are compared with the respective data for the Sonnblick Observatory (Austrian Alps) in order to distinguish between reality and chance.Sonnblick is 3911 ft higher than Mt. Washington. Nevertheless, the latter is on the average 3.2 Fdeg colder in winter. An explanation by means of air mass is suggested. Hourly deviations from ten year's monthly and yearly averages are given in Table 3. Table 4 shows the average daily temperature ranges for Mt. Washington, Sonnblick and Obir (Austria). The comparison of the average daily range on freely exposed summits, at stations in the plain, and those in valleys shows that the daily range is independent of elevation as far as surface bound places are concerned. On free, isolated summits the daily range depends upon conditions of average air exchange, cloudiness, latitude, and the size and local physical conditions of the summit surface involved in the air heating processes.Although the curve representing the average diurnal temperature variation for a month is of more or less complex nature, Fourier series are used for the analysis, in oder to get some insight into the relations between the semi-diurnal pressure wave and the half-day temperature wave. The harmonic constants (for the months and year) appear in Table 6; the times of the maxima for the first and the second harmonic term in Table 7. The phase angle of the first term,A ₁, shows a quite unexpected behavior. Although the observed variation ofA ₁ in the course of the year could not be explained by means of the available material, the reality of the phenomenon could be demonstrated by a good parallelism of the variations on Mt. Washington and on Sonnblick. For Mt. Washington the annual variation of the amplitude ₁ can be represented by a simple sine curve. On Sonnblick, a kinked line consisting of three rectilinear sections shows the annual variation of ₁, with good approximation. The different physical conditions of the surface of the two summits offer a clear explanation. Random samples make it likely that the Fourier series representing the diurnal variation of temperature on mountain summits show a rapid convergence so that the oscillation is described by the first two terms with sufficient accuracy. On the average for the year, the maximum of the second term (nearest to noon) occurs at 13.3 h on Mt. Washington, and at 13.5 h on Sonnblick. Theannual variation of ₂ shows maxima at the equinoxes on both summits. The amplitude ₂ is quasi-constant relative to ₁, the amplitude of the first harmonic. SinceA ₂ (phase angle of the second term) is less variable than isA ₁, theentire second harmonic is less variable than is the first harmonic. In December, the magnitude of ₂ is practically the same as that of ₁ on Mt. Washington while on Sonnblick in the same month ₂ reaches 59% of ₁. In summer, the ratio ₂/₁ is at a minimum on both mountains. Altogether, the various facts mentioned above support the assumption that the second harmonic of the diurnal temperature variation on freely exposed summits has its independent, special physical significance. In contrast to the first, the static harmonic, which is almost exclusively produced by radiation processes, the second harmonic appears to be due to dynamic causes.All indications point to the idea that on freely exposed summits in middle latitudes the semidiurnal temperature oscillation is a consequence of the westward moving half-day pressure wave and is steered by it, aside from other possible factors that are difficult to appraise.

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Zusammenfassung Die vorliegende Untersuchung befaßt sich mit den Schwankungen zehnjähriger Stundenmittel der Temperatur auf dem Mt. Washington. Besonders die unerwarteten Resultate werden mit den Beobachtungen auf dem Sonnblick-Observatorium verglichen, um Realität und Zufall zu unterscheiden.Der Sonnblick ist 1192 m höher als der Mt. Washington und trotzdem ist der letztere noch im Wintermittel um 1,8° C kälter. Eine Luftmassenerklärung scheint naheliegend. In Tabelle 3 werden die Abweichungen der Stundenmittel von den zehnjährigen Monats- und Jahresmitteln gegeben. Tabelle 4 enthält die mittlere Tagesschwankung der Temperatur für Mt. Washington, Sonnblick und Obir. Der Vergleich der mittleren Tagesschwankung auf frei exponierten Gipfeln mit der in der Ebene und in Tälern zeigt, daß die Größe der Tagesschwankung unabhängig von der Höhe ist, soweit Stationen an der Erdoberfläche in Betracht kommen. Auf freien Gipfeln hängt die Tagesschwankung von der Größe des Luftaustausches, der Bewölkung, der Breite und von der Größe und den physikalischen Eigenschaften der Gipfeloberfläche ab, soweit sie in den Erwärmungsprozeß der Luft im Bereich der Beobachtungsstation einbezogen erscheint.Obwohl die Kurve, die den mittleren monatlichen Tagesgang der Temperatur darstellt, komplexer Natur ist, wurde eine Analyse mittels Fourierscher Reihen gewählt, vor allem, um einigen Einblick in die Beziehungen zwischen der Halbtagswelle des Luftdrucks und der der Temperatur zu erhalten. Die harmonischen Konstanten für Monat und Jahr erscheinen in Tabelle 6, die Zeiten der Maxima des ersten und zweiten harmonischen Terms in Tabelle 7. Der PhasenwinkelA ₁ (des ersten Terms) zeigt ein ganz unerwartetes Verhalten. Die am Mt. Washington gefundene Form der Jahresschwankung vonA ₁ ist mit Hilfe des vorliegenden Materials wohl nicht erklärbar. DieRealität der Schwankungsform scheint jedoch kaum zweifelhaft, da die Schwankungen auf dem Mt. Washington und auf dem Sonnblick, bei geeigneter Wahl der Skalen im Diagramm, einen weitgehenden Parallelismus zeigen. Derjährliche Gang der Amplitude ₁ wird für den Mt. Washington durch eine einfache Sinuskurve wiedergegeben. Auf dem Sonnblick ist es eine aus drei Geraden zusammengesetzte Linie, die die analoge Schwankung mit guter Genauigkeit darstellt. Die verschiedenen physikalischen Eigenschaften der beiden Gipfeloberflächen erlauben eine ausreichende Erklärung. Stichproben zeigen, daß die Fourier-Reihen so rasch konvergieren, daß der Tagesgang der Temperatur auf Berggipfeln durch die ersten zwei Glieder mit genügender Genauigkeit wiedergegeben wird. Im Mittel des Jahres tritt das (mittagnächste) Maximum des zweiten Terms auf dem Mt. Washington um 13,3, auf dem Sonnblick um 13,5 ein. DieJahresschwankung von ₂(Halbtagsamplitude) erreicht auf beiden Gipfeln ihre Maxima zu den Aequinoktien. ₂ ist relativ zu ₁ quasikonstant. Da nunA ₂ (Phasenwinkel des zweiten Terms) weiniger variabel ist alsA ₁, so zeigt das ganze zweite Glied eine kleinere Veränderlichkeit als das erste. Auf dem Mt. Washington kommt ₂ im Dezember praktisch der Größe von ₁ gleich, auf dem Sonnblick werden im gleichen Monat 59% von ₁ erreicht. Die angeführten Tatsachen sprechen für die Annahme, daß derzweite harmonische Term der Tagesschwankung der Temperatur auf frei exponierten Gipfeln seineselbständige physikalische Bedeutung hat. Im Gegensatz zum ersten, dem statischen Term, der beinahe ausschließlich durch Strahlungsprozesse hervorgerufen wird, mag der zweite Term seine Existenz dynamischen Ursachen zu verdanken haben.Alle Anzeichen sprechen dafür, daß auf freigelegenen Gipfeln der mittleren Breiten die Halbtags-Oszillation der Temperatur, abgesehen von anderen, schwer abzuschätzenden Faktoren, eine Folge der westwärts wandernden Halbtagswelle des Luftdrucks ist und von ihr gesteuert wird.

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Résumé La présente étude porte sur les variations des moyennes de dix ans des températures horaires au Mt. Washington. Les résultats particulièrement les inattendus sont comparés aux observations du Sonnblick pour distinguer la réalité du hasard. Ce dernier observatoire est situé 1192 m plus haut que Mt. Washington, et celui-ci est pourtant plus froid de 1,8° en hiver; une différence de masse d'air semble en être la cause. Le tableau 3 contient les écarts des moyennes horaires par rapport aux moyennes décennales mensuelles et annuelles. Le tableau 4 illustre l'amplitude diurne moyenne de température au Mt. Washington, au Sonnblick et à l'Obir. La comparaison de l'amplitude diurne moyenne de la température entre des sommets assez isolés et la plaine, et les vallées montre que cette amplitude est indépendante de l'altitude pour autant qu'il s'agisse de stations attachés au sol. Sur les sommets, la variation diurne dépend de l'échange turbulent, de la nébulosité, de la latitude, de l'étendue et des propriétés physiques de la surface des sommets, à mesure que cette dernière intervienne dans le processus du réchauffement de l'air au voisinage de la station d'observation.Bien que la courbe mensuelle moyenne de la variation diurne de température soit complexe, elle est dévelopée en séries de Fourier, particulièrement dans le but d'examiner les relations entre les ondes semi-diurnes de pression atmosphérique et celles de la température. Le tableau 6 contient les constantes harmoniques pour les mois et l'année, le tableau 7 les temps des maxima du premier et du deuxième termes. La phaseA ₁ a un comportement inattendu; la forme de sa variation annuelle au Mt. Washington ne peut pas s'expliquer au moyen d'observations usées ici mais sa réalité ne peut pas être mise en doute; car la comparaison avec le Sonnblick démontre un parallélisme accentué, si les echelles du diagramme sont choisies proprement. La marche annuelle de l'amplitude ₁ se représente au Mt. Washington par une sinusoïde simple; au Sonnblick elle se compose de trois droites reproduisant la marche analogue. Les différent caractères physiques des surfaces des deux sommets expliquent aisément les divergences. Il est démontré que les séries de Fourier convergent si rapidement que deux termes suffisent pour représenter assez exactement la variation diurne de la température aux stations des sommets. En moyenne de l'année, le maximum du deuxième terme (le plus près du midi), apparaît à 13,3 h au Mt. Washington et à 13,5 h au Sonnblick. La variation annuelle de ₂ atteint le maximum aux équinoxes pour les deux sommets. ₂ est quasi-constant par rapport à ₁. CommeA ₂ varie moins queA ₁, l'entier deuxième terme a une variabilité plus petite que premier. Au Mt. Washington, ₂ est presque égal à ₁ en décembre; au Sonnblick, ce sont 59% de ₁ au même mois. Les faits cités conduisent à admettre que le deuxième terme harmonique de la variation diurne de la température aux sommets assez isolés a une signification physique propre; au contraire du premier terme, lestatique, presque exclusivement causé par le rayonnement, le second terme doit son origine à des causesdynamiques.Tout porte à conclure qu' aux sommets assez isolés dans les latitudes moyennes, — sans compter d'autres facteurs difficiles à déceler —, la variation semi-diurne de la température est causée et dirigée par l'onde semi-diurne de la pression atmosphérique progressant vers l'Ouest.

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With 5 Figures     

The Neutral, Barotropic Planetary Boundary Layer, Capped by a Low-Level Inversion

The presence of a low-level, capping inversion layer will affect the height and structure of the planetary boundary layer (PBL). Results from models of varying levels of sophistication, including analytical, turbulent kinetic energy (TKE), second-order closure (SOC), large-eddy simulation (LES) and direct numerical simulation (DNS) models, are used to investigate this influence for the neutral, barotropic PBL. Predicted and observed profiles of stress and geostrophic departure components, and integral measures, such as the parameters of Rossby-number similarity theory, are compared for the KONTUR, Marine Stratocumulus, JASIN, Leipzig, Pre-Wangara and Upavon field experiments.Analytical models of the equilibrium value of inversion height z_i, which depend on the surface friction velocity u_*, and both the Coriolis parameter f and the free-flow Brunt-Väisälä frequency N, are found to give reasonable estimates of the PBL height. They also indicate that only the KONTUR and Marine Stratocumulus experiments were strongly influenced by N. More quantitative comparisons would require larger, more comprehensive datasets. The effects of the presence of a capping inversion on the profile structure were found to be insignificant for h_* = |f|z_i/u_* > 0.15.The simple analytical model performed quite well over all values of h_*; it predicted the profiles of the longitudinal stress component (in the direction of the surface stress) better than the lateral component. The more advanced models performed well for small values of h_* (for flow over the sea), but systematically underestimated the cross-isobaric angle for flow over land. These models predicted the profiles of the lateral stress component better than the longitudinal component. The profiles of the analytical model agreed with those of the advanced models when the constant eddy viscosity of the outer layer was increased.Agreement with DNS was achieved by increasing the eddyviscosity of the analytical model by a factor of 5.Zilitinkevich and Esau(2002, Boundary-Layer Meteorology, 104, 371–379)suggest that the neutral, barotropic values of A and B of Rossby-numbersimilarity theory are not universal constants, but depend on the ratio N/|f|. The dependence for A and B is calculated using the analytical model and TKE models. Over the sea (h_* 0.1; N/|f| 100, where we have used the Zilitinkevich-Esau relation to convert between h_* and N/|f|) there is agreement between the model predictions and observations; however over land where the equilibrium boundary-layer height is greater (h_* 0.35; N/|f| 10) the inconsistency between the advanced model predictions (TKE, SOC, LES, and DNS) and observations, as noted previously by Hess and Garratt, still exists. We attribute this disagreement to violations of the strict assumptions of steady, horizontally homogeneous, neutral, barotropic conditions implicit in the observations. At small values of z_i and a strongly stable background stratification (h_* 0.04; N/|f| 1000) both the TKE and analytical models predict that A and B depend significantly on h_*, however observations are unavailable to confirm these predictions. Zilitinkevich and Esau call this case the `long-lived near-neutral PBL', and state that it is found in cold weather at high latitudes.     

Carbonyl products of the gas phase reaction of ozone with 1,1-disubstituted alkenes

Carbonyl products have been identified and their formation yields measured in experiments involving the gas phase reaction of ozone with 1,1-disubstituted alkenes at ambient T and p=1 atm. of air. Sufficient cyclohexane was added to scavenge the hydroxyl radical in order to minimize OH-alkene and OH-carbonyl reactions. Formation yields (carbonyl formed/ozone reacted) of primary carbonyls were close to the value of 1.0 that is consistent with the mechanism: O₃+R₁R₂C=CH₂ (HCHO+R₁R₂COO)+(1–)(R₁COR₂+H₂COO) where formaldehyde and the ketone R₁ COR₂ are the primary carbonyls and R₁R₂COO and H₂COO are the corresponding biradicals. Measured values of were 0.58–0.82 and indicate modest preferential formation of formaldehyde and the disubstituted biradical as compared to the ketone and the biradical H₂COO. Carbonyls other than the primary carbonyls were identified. Their formation is discussed in terms of subsequent reactions of the disubstituted biradicals R₁R₂COO. Similarities and differences between disubstituted and monosubstituted biradicals are outlined.     

Observed variations of σθ and σΦ in the nocturnal drainage flow in a deep valley

The variations of and in the drainage flow in the Brush Creek valley of western Colorado are investigated using data from Doppler acoustic sodars and instrumented towers. The data were obtained on two experimental nights during the 1984 ASCOT field study. There is good agreement between the variations derived from low-level observations of the sodars and those derived from the towers located throughout the valley. The observed hourly average and in the nocturnal drainage flow are about 20 ° to 25 ° and 5 °, respectively; these values are much larger than those generally observed over flat terrain during nighttime stable conditions. After sunrise (about 0600 MST), as the valley warms and the flow direction changes to up-valley, these parameters increase sharply to their peak values at about 0800 MST and then decrease to their normal daytime values after about two hours.In the drainage flow, the hourly average varies inversely with wind speed according to the relation u 0.7ms^-1. The vertical standard deviation is much less enhanced by complex terrain than the horizontal standard deviation. The observed values are predicted fairly well by the local similarity theory.Oak Ridge Associated Universities (ORAU) Summer Research Participant at ATDD in 1987 andOak Ridge Associated Universities (ORAU) Summer Research Participant at ATDD in 1987 and     

The streamwise Kolmogoroff constant

Observations over grassland of the turbulent kinetic energy in a band of frequencies in the inertial subrange of the spectrum of the streamwise wind component are related to the stress indicated by the wind profiles. The object is to determine the effective Kolmogoroff constant, _UB , which accords with the assumption of balance between turbulent energy production and dissipation. The mean from 60 half-hour runs made under stability conditions ranging from neutral to moderate instability is _UB = 0.62.This result is compared with those from other studies; four over grassland and six over the sea or a lake. There is no significant difference between the means of the land and sea values, but the latter are more scattered, partly because of difficulties in securing suitable exposure of the instruments for the stress measurements. The mean value from all ten sets of observations is _UB = 0.59 ± 0.025. So the dissipation method should be capable of giving the drag coefficient of the sea in strong winds with an uncertainty of no more than about 10%.     

Reactions of alkoxy radicals under atmospheric conditions: The relative importance of decomposition versus reaction with O2

The reactions of alkoxy radicals determine to a large extent the products formed during the atmospheric degradations of emitted organic compounds. Experimental data concerning the decompositions, 1,5-H shift isomerizations and reactions with O₂ of several classes of alkoxy radicals are inconsistent with literature estimations of their absolute or relative rate constants. An alternative, although empirical, method for assessing the relative importance under atmospheric conditions of the reactions of alkoxy radicals with O₂ versus decomposition was derived. This estimation method utilizes the differences in the heats of reaction, (H)=(H_{decomposition}–H_{O 2 reaction}), between these two reactions pathways. For (H)[22–0.5(H_{O 2 reaction})], alkoxy radical decomposition dominates over the reaction with O₂ at room temperature and atmospheric pressure of air, while for (H)[25-0.5(H_{O 2 reaction})], the O₂ reaction dominates over decomposition (where the units of H are in kcal mol^–1). The utility and shortcomings of this approach are discussed. It is concluded that further studies concerning the reactions of alkoxy radicals are needed.     

Tropical Glacier and Ice Core Evidence of Climate Change on Annual to Millennial Time Scales

This paper examines the potential of the stable isotopic ratios, ¹⁸O/¹⁶O ( ¹⁸O_ice)and ²H/¹H ( D_ice), preserved in mid to low latitude glaciers as a toolfor paleoclimate reconstruction. Ice cores are particularly valuable as they contain additional data, such as dust concentrations, aerosol chemistry, and accumulation rates, that can be combined with the isotopic information to assist with inferences about the regional climate conditions prevailing at the time of deposition. We use a collection of multi-proxy ice core histories to explore the ¹⁸O-climate relationship over the last 25,000 years that includes both Late Glacial Stage (LGS) and Holocene climate conditions. These results suggest that on centennial to millennial time scales atmospheric temperature is the principal control on the ¹⁸O_ice of the snowfall that sustains these high mountainice fields.Decadally averaged ¹⁸O_ice records from threeAndean and three Tibetan ice cores are composited to produce a low latitude ¹⁸O_ice history for the last millennium. Comparison ofthis ice core composite with the Northern Hemisphere proxy record (1000–2000A.D.) reconstructed by Mann et al. (1999) and measured temperatures(1856–2000) reported by Jones et al. (1999) suggests the ice cores have captured the decadal scale variability in the global temperature trends. These ice cores show a 20th century isotopic enrichment that suggests a large scale warming is underway at low latitudes. The rate of this isotopically inferred warming is amplified at higher elevations over the Tibetan Plateau while amplification in the Andes is latitude dependent with enrichment (warming) increasing equatorward. In concert with this apparent warming, in situobservations reveal that tropical glaciers are currently disappearing. A brief overview of the loss of these tropical data archives over the last 30 years is presented along with evaluation of recent changes in mean ¹⁸O_ice composition. The isotopic composition of precipitation should be viewed not only as a powerful proxy indicator of climate change, but also as an additional parameter to aid our understanding of the linkages between changes in the hydrologic cycle and global climate.