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Pauline M. Austin

Abstract

A number of physical factors that influence the relation between measured radar reflectivity and surface rainfall are considered both theoretically and through detailed comparisons of radar and raingauge measurements. These factors include natural differences in raindrop-size distributions, enhancement of radar reflectivity by presence of hailstones or melting snow, diminution of reflectivity by downdrafts, and low-level changes in rainfall rate caused by accretion or evaporation. Results of 374 comparisons in twenty storms, which cover a wide variety of synoptic situations and rainfall patterns, are presented. Magnitudes of the effects of the different factors are estimated, and storm types where they are likely to be significant are pointed out. Also, some ways of compensating for the observed effects are suggested.

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MEASUREMENT OF APPROXIMATE RAINDROP SIZE BY MICROWAVE ATTENUATION

(Paper presented 28 December 1946 at Annual Meeting, A.M..%, Cambridge, Massachusetts)

Pauline M. Austin

Abstract

It is not possible to deduce the size of raindrops from the average intensity of the radar signal produced by the precipitation region. However, if it is assumed that all the drops are of the same size, a relation between the diameter of the drops and the number per unit volume may be obtained. When measurable relative attenuation between radar waves of different lengths occurs, a different relation between drop size and concentration may be derived therefrom. The combination of these two types of measurement yields a single solution for the size and concentration of the drops. The solution can be considered as an approximation to the size of the largest drops present in the precipitation region, since the smaller drops contribute only slightly to the radar echo. Measurable attenuation of 3-cm waves may be expected to occur under two conditions: (a) heavy rain with large drops, and (b) moderately heavy rain with fairly uniform characteristics over a large area. Measurable attenuation of l-cm waves can be expected even with light rain.

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Pauline M. Austin

The development of frontal precipitation as observed by radar is illustrated by data taken on a particular storm. This storm presents a typical sequence of precipitation patterns found to be associated with a warm front and a following cold front.

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Pauline M. Austin
and
Alan C. Bemis

Abstract

Observations and measurements of the bright band in radar echoes are presented. It is shown that the theory of coalescence and melting of snowflakes provides an adequate explanation of the phenomenon.

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Man Kong Yau
and
Pauline M. Austin

Abstract

A relatively simple model of warm and cold rain microphysics in cumulus cells is developed. The proposed model avoids the large amounts of computation required in a non-parameterized treatment and yet removes some of the restrictions imposed by Kessler's microphysical parameterization. The growth of cloud droplets is bypassed, but evolution of particle size spectra for larger hydrometeors and the effects of differential fallspeeds are allowed by the growth of rain and graupel particles in a total of 25 size categories. The processes included are condensation, evaporation, accretion, collection, breakup, freezing, deposition, riming and melting. Experiments in the context of a kinematic updraft indicate results comparable to those of a stochastic model in warm rain development. It is found that a counterbalancing mechanism between auto- conversion and accretion causes the results to be relatively insensitive to assumptions about the auto- conversion process. Further sensitivity tests point out the important contributions of rain-rain interactions in the evolution of drop-size spectra, the essential role of impaction breakup as a limiting mechanism for drop growth, and the modes in which the presence of graupel affects the particle-size distributions.

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Frank D. Marks Jr.
and
Pauline M. Austin

Abstract

Precipitation patterns have been analyzed for six wintertime storms in New England where coastal fronts developed and for two without coastal fronts. In all of the storms the predominant precipitation features, as observed by radar, were mesoscale bands which contained convective cells, a pattern typical of extratropical cyclones. Vertical profiles of potential temperature, humidity and wind indicate that most of the condensation occurred in a layer of warm moist air lifted by synoptic-scale ascent ahead of the baroclinic disturbance. Cumulus convection was initiated in a shallow unstable region at the top of the warm moist layer. The coastal front circulations apparently developed independently of the large-scale baroclinically induced circulations and were very shallow, typically 300 m in depth. They had durations of 7–15 h and existed during most of the time when the precipitation bands were passing over eastern Massachusetts. The effect of the coastal fronts was to enhance the precipitation over an area about 80 km wide along a line between Boston, Massachusetts, and Providence, Rhode Island, with the average increase ranging from 13 to 147%. The mechanism for precipitation enhancement appears to be creation of low cloud by the coastal front circulation. The cloud droplets are then accreted by snow-flakes which originated at higher levels.

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Pauline M. Austin
and
Robert A. Houze Jr.

Abstract

The studies presented here were undertaken to provide a specific and quantitative description of the precipitation patterns in New England storms. Basic data were quantitative radar observations and detailed raingage records.

Nine storms covering a wide range of synoptic and seasonal situations were subjected to systematic analysis. Also the general shape and configuration of the mesoscale rain areas in seventeen fully developed cyclones were observed.

The precipitation patterns, which at first glance appeared very dissimilar, out to be composed of subsynoptic-scale precipitation areas with rather clearly definable characteristics and behavior. Four distinct scales of precipitation areas have been recognized and described: synoptic arms which are larger that 104 km2 and have a lifetime of one or several days; large mesoscale areas which range from 103–104 km2 and last several hours; mesoscale areas which cover 100–400 km2 and last about an hour; and cells which are roughly 10 km2 and often last only a few minutes, rarely as long as half an hour. In the cases which were analyzed every precipitation area of any of these scales contained one or several of each of the smaller sized precipitation areas. The motions and relative intensifies of precipitation areas of the various scales also a consistent pattern. The vertical location and depth of the layer containing cells varied greatly from one storm to another, but remained about the same within any particular storm.

The consistent occurrence of subsynoptic-scale rain areas with similar characteristics and behavior in a variety of precipitation patterns provides a means for describing the distribution of precipitation in any storm in a parameterized manner and also permits realistic modeling of storms for meteorological and hydrological studies.

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Pauline M. Austin
and
Robert A. Houze Jr.

Abstract

A method is described for calculating cumulus-scale vertical transports of mass, sensible heat and hori-zontal momentum from detailed measurements of precipitation. The basic premises are that the amount of lifting in a cumulus cell is related to the precipitation which it produces and that the temperature excess and entrainment are reflected in its vertical development. The amount of cellular precipitation may be obtained from quantitative radar data or high-resolution rain gauge records, the cell depths from radar and radiosonde data.

The mass of air transported upward within the cells is computed from the conservation of water given the amount of cellular precipitation. A relationship between measured cellular rain and condensate within cumulus cells is based on available empirical information. Entrainment rate and the shape of the mass transport curve as a function of height are specified in a manner consistent with physical considerations, experimental evidence, and one-dimensional dynamic models of cumulus cells. For the transport of sensible heat the temperature excess within the cells is computed from conservation equations for water and vertical momentum. For the transport of horizontal momentum, the difference in horizontal wind speed is calculated from the conservation of horizontal momentum and the drag force exerted by the environment on the air in the updrafts.

Uncertainties in the computed transports are obtained by estimating limiting values for the assumptions involved.

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