Standard Guide for Determining Cross-Section Averaged Characteristics of a Spray Using Laser-Diffraction Instruments in a Wind Tunnel Apparatus

SIGNIFICANCE AND USE
5.1 This guide provides a means of using an LD instrument to obtain a droplet size distribution from a spray in gas co-flow that approximates a flux-sensitive sample.4  
5.2 In many sprays, the experimenter shall account for spatial segregation of droplets by size. This guide provides a means of spatial averaging the droplet distribution.  
5.3 The results obtained will be statistical in nature and refer to the time average of droplet size distribution of the entire spray.  
5.4 This guide is used to calibrate a spray generation device to produce a desired droplet size distribution under prespecified environmental and co-flow conditions or characterize an unknown spray while minimizing the uncertainty in the measurement.
SCOPE
1.1 The purpose of this guide is to define a test procedure for applying the laser diffraction (LD) method to estimate an average droplet size distribution that characterizes the flux of liquid droplets produced by a specified spray generation device under specified gas co-flow conditions using a specified liquid. The intended scope is limited to artificially generated sprays with high speed co-flow. The droplets are assumed to be in the size range of 1 to 2000 µm in diameter and occur in sprays that are contained within a volume as small as a few cubic centimetres or as large as a cubic metre. The droplet sizes are assumed to be distributed non-uniformly within the spray volume.  
1.2 This guide is intended primarily to guide measurement of performance of nozzles and atomizers using LD instruments.  
1.3 Non-uniform sprays require measurements across the entire spray cross section or through several chords providing a representative sample of the overall spray cross section. The aim of multiple-chord measurements is to obtain a single droplet size distribution that characterizes the whole spray rather than values from a single chordal measurement.  
1.4 Use of this guide requires that the instrument does not interfere with spray production and does not significantly impinge upon or disturb the co-flow of gas and the spray. This technique is, therefore, considered non-intrusive.  
1.5 The computation of droplet size distributions from the light-scattering distributions is done using Mie scattering theory or Fraunhofer diffraction approximation. The use of Mie theory accounts for light refracted through the droplet and there is a specific requirement for knowledge of both real (refractive) and imaginary (absorptive) components of the complex index of refraction. Mie theory also relies on an assumption of droplet homogeneity. The Fraunhofer diffraction approximation does not account for light refracted through the droplet and does not require knowledge of the index of refraction.  
1.6 The instruments shall include data-processing capabilities to convert the LD scattering intensities into droplet size distribution parameters in accordance with Practice E799 and Test Method E1260.  
1.7 The spray is visible and accessible to the collimated beam produced by the transmitter optics of the LD instrument. The shape and size of the spray shall be contained within the working distance of the LD system optics as specified by the instrument manufacturer.  
1.8 The size range of the LD optic should be appropriate to the spray generation device under study. For example, the upper bound of the smallest droplet size class reported by the instrument shall be not more than 1/4 the size of DV0.1.  
1.9 The values stated in SI units are to be regarded as standard. No other units of measurement are included in this standard.  
1.10 This standard may involve hazardous materials, operations, and equipment. This standard does not purport to address all of the safety problems associated with its use. It is the responsibility of the user of this standard to establish appropriate safety and health practices and determine the applicability of regulatory limitations prior to use.

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ASTM E2872-14 - Standard Guide for Determining Cross-Section Averaged Characteristics of a Spray Using Laser-Diffraction Instruments in a Wind Tunnel Apparatus
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NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.
Contact ASTM International (www.astm.org) for the latest information
Designation: E2872 − 14
Standard Guide for
Determining Cross-Section Averaged Characteristics of a
Spray Using Laser-Diffraction Instruments in a Wind Tunnel
1
Apparatus
This standard is issued under the fixed designation E2872; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
INTRODUCTION
In this guide, test methodologies are described specifically relating to the use of laser diffraction
(LD) instrumentation to estimate the droplet-size distribution for liquid sprays released into moving
air streams. This guide presented is primarily applicable to aerial agricultural spraying, aerial forest
sprays, or air-blast spraying. Cases in which the spray is ejected into a quiescent gas environment that
lacks the unifying effect of a well-defined gas co-flow may require different techniques or
instrumentation or both. In this guide, an average droplet size distribution for the entire spray is
determined. It requires that the spray be statistically steady in time, but it may be polydisperse and
spatially non-uniform.
Thedroplet-sizedistributionusedforcharacterizationofamovingspraysourcemustbedetermined
from a “flux-sensitive sample” or equivalent. This is because a flux-sensitive sample provides the
fraction of the total liquid flow rate contributed by each size class of droplets and, therefore, is directly
related to the spray coverage. In contrast, the LD instrument derives its droplet-size distribution from
a “spatial sample,” and therefore, its use for spray characterization is limited to test conditions under
which equivalence between flux-sensitive samples and spatial samples can be established. Such
equivalence exists when the velocity of all droplets of the spray is equal and creating these conditions
is the basis of this guide.
All tests relating to this guide require a wind tunnel with a test section of sufficient size that it
contains the entire spray plume up to the plane of measurement without droplets impacting the test
section walls under the prescribed operating conditions.The unobstructed wind tunnel air stream shall
be uniform and free of turbulence. The test air speed shall be chosen to match the relative speed of
the sprayer to the ambient conditions.
1. Scope are contained within a volume as small as a few cubic
centimetres or as large as a cubic metre. The droplet sizes are
1.1 The purpose of this guide is to define a test procedure
assumed to be distributed non-uniformly within the spray
for applying the laser diffraction (LD) method to estimate an
volume.
average droplet size distribution that characterizes the flux of
liquid droplets produced by a specified spray generation device
1.2 This guide is intended primarily to guide measurement
under specified gas co-flow conditions using a specified liquid.
of performance of nozzles and atomizers using LD instru-
The intended scope is limited to artificially generated sprays
ments.
with high speed co-flow. The droplets are assumed to be in the
size range of 1 to 2000 µm in diameter and occur in sprays that 1.3 Non-uniform sprays require measurements across the
entire spray cross section or through several chords providing
a representative sample of the overall spray cross section. The
1
This guide is under the jurisdiction of ASTM Committee E29 on Particle and
Spray Characterization and is the direct responsibility of Subcommittee E29.02 on aim of multiple-chord measurements is to obtain a single
Non-Sieving Methods.
droplet size distribution that characterizes the whole spray
Current edition approved April 1, 2014. Published May 2014. DOI: 10.1520/
rather than values from a single chordal measurement.
E2872-14.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
1

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E2872 − 14
1.4 Use of this guide requires that the instrument does not 3. Terminology
interfere with spray production and does not significantly
3.1 Definitions—For definitions of terms used in this
impinge upon or disturb the co-flow of gas and the spray. This
standard, refer to Terminology E1620 and ISO 13320:2009.
technique is, therefore, considered non-intrusive.
3.2 Definitions of Terms Specific to This Standard:
1.5 The computation of droplet size distributions from the 3.2.1 aerial spraying, n—practice of delivering spray via an
light-scattering distributions is done using Mie scattering airborne vehicle such as a fixed-wing aircraft or helicopter.
theoryorFraunhoferdiffractionapproximation.TheuseofMie
3.2.2 atomizer, n—spray generation apparatus.
theoryaccountsforlightrefr
...

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