33
EDGEWOOD AD-A27 2 461 RESEARCH, lI Illltl/]lt/ltltti DEVELOPMENT & ENGINEERING CENTER ERDEC-TR-093• SCREENING SMOKE PERFORMANCE OF COMMERCIALLY AVAILABLE POWDERS I. INFRARED SCREENING BY GRAPHITE FLAKE Janon F. Embury TXC Donald L. Walker RESEARCH AND TECHNOLOGY DIRECTORATE 3 •B Curtis J. Zimmermarn GEO-CENTERS, INC. Fort Washington, MD 20744 July 1993 93-27681 t Approved for public release; distributon Is unlanited. U.S. ARMY B D CHEMICAL A AND BIOLOGICAL DEFENSE AGENCY Aberdeen Proving Ground, Mmyland 21010.5423

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Page 1: IR Graphite Flake

EDGEWOOD AD-A27 2 461

RESEARCH, lI Illltl/]lt/ltltti

DEVELOPMENT &ENGINEERINGCENTER

ERDEC-TR-093•

SCREENING SMOKE PERFORMANCEOF COMMERCIALLY AVAILABLE POWDERS

I. INFRARED SCREENING BY GRAPHITE FLAKE

Janon F. Embury

• TXC Donald L. Walker

RESEARCH AND TECHNOLOGY DIRECTORATE3 •B Curtis J. Zimmermarn

GEO-CENTERS, INC.Fort Washington, MD 20744

July 199393-27681 t

Approved for public release; distributon Is unlanited. U.S. ARMY B DCHEMICAL AAND BIOLOGICALDEFENSE AGENCY

Aberdeen Proving Ground, Mmyland 21010.5423

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Disclaimer

The findings in this report are not to be construed as an official Department of the Army positionunless so designated by other authorizing documents.

Page 3: IR Graphite Flake

REPORT DOCUMENTATION PAGE JFort" Approved

td mstliad0,., e0 Washingtoncomp1t04q vfd veift Seie" 0ito ateeg~f at n lo intlln IpucII orii waund newts~ dal* 1fosoSuite. 1104. AtlntoV 1)0 .4 1nd lath 011fir o fI~c Matey,it #..etl snl flud~pt. Pmpeteworl Aputej" rthnroI.~t (D F04 a0Jell. Wonhingtoi. oc 201161.

1. AGENCY USE ONLY (Leave b aMn .REOTAE3.EPTTYENDATES COVERED1993 July Final, 91 Aug - 93 Feb

4. TITLE AND SUBTITLE S. FUNDING NUMBERS

Screening Smoke Performance of Commercially Available Powders1. Inrrared Screening by Graphite Flake PR-I 10464609D200

*6. AUTIIOR(S)

Embury, Janoit F.; Walker, Donald L. (ERDEC); andZimmermann, Curits J. (01EO-CENTERS, llnc.)

7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) s. tORr~tiNG IORXNIZAI5F-REPORT NUMBER

DIR, ERDEC,* ATrN: SCBRD-RTB, APO, MD 21010-5423ERDEC-TR-093

CEO-CENTERS, Inc., Fort Washington, MD 20744

9. SPONSORING i ONITORING AGENCY NAME S AND ADDRESM E 0. SPONSORING iiMONITOnINGAGENCY REPORT NUMBER

11. SUPPLEMENTARY NOTES

*When this work was performed, ERDEC warn known as the U.S. Army Chemimcal Research, Developmentand Engifletring Center, and the ERDEC authors were assigned to the Res earch Directorate.

IlaDISTIBU1IONAVAMILO SiTIMET 1b. DIMINIUTION CODE

Approved for public release; distribution Is unlimited.

11ý ABSTRACT (Maxirmum 200wordu)

Commercially available graphite powders are evaluated in the U.S. Army Edgewood Research,Development and Engineering Center Smoke Chamber. Figures of merit for weight, volume, andcost constrained applications are described to rate the screening ability of these materials in the visibleand in~frared. Fundamental properties called "performance parameters" are Identified (extinctioncoefficient, deposition velocity, packing density, and dissemination yield) for measurements so thatchamber characterization can be used to predict smoke performance in the battlefield,

14. SUBJECT TERMS IS. UMBER OFPAGES"

31Smoke materials Infrared screening Obscurants 16. PRICE coDEIR extinction JR absorption Powder technology

11. StCURItV CLASSIFICATION III. StCUR11Y CLASsirICATION 19. SECU"ITY (LAssirICAIION 20 IITATION OF AilltNACTor REPORT OF T111S PAGE OF ABSTRACT

I _-NQLAS1IE UNCLASSIFIED UNCLASSIFIED IULNSN 1540 01 410W55OU sinfitJTud rom,, 5~a (fl~v 2 89)

f'or%-tb.., by ANSI ltd IIIIllS

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Blank

2

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PREFACE

The work described in this report was authorized under Project No. 10464609D200,Screening Smoke Material Engineering. This work was started in August 1991 and completed inFebruary 1993.

The use of trade names or manufacturers' names in this report does not constitute anofficial endorsement of any commercial products. This report may not be cited for purposes ofadvertisement.

This report has been approved for release to the public. Registered users shouldrequest additional copies from the Defense Technical Information Center; unregistered users shoulddirect such requests to the National Technical Information Service.

DTIC QUAL'Y USPB 4

Aiaeu~sion NOV ,

NTIS tl.: ['

DT I"' TABf

A v;• .. . .*% . .

3I J

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Blank

Page 7: IR Graphite Flake

CONTENTS

Page

INTRODUCTION ................................................ 7

EXTINCTION COEFFICIENTS OF CONDUCTIVE FLAKES, FOAM I- J.CLESAND BUBBLES ................. ............................. 15

GRAPHITE FLAKE MANUFACTURING ................................. 18

ERDEC SMOKE CHAMBER AND DATA COMPUTATIONAL ALGORITHMS ........ 20

HOMOGENEOUS ELLIPTICAL HALF CONE SMOKE PLUME WITH AEROSOLDEPOSITION .. ................................................. 23

FIGURES OF MERIT .............................................. 26

BET SURFACE AREA ............................................. 29

CONCLUSION ..................................................... 30

LTIERATURE CITED ............................................. 31

5

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LIST OF FIGURES AND TABLES

Figure

I Infrared Extinction Spectra of Asbury 260 and Lonza EKS4 ............. 16

2 13.6 M' Aerosol Characterization Facility ........................ 21

3 BET Surface Area and Extinction ............................. 29

Table

1 Performance Parameters and Figures of Merit for Graphite ScreeningMaterials Chamber Tests Utilizing SRI Nozzle at 60 PSI ............... 8

o

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SCREENING SMOKE PERFORMANCEOF COMMERCIALLY AVAILABLE POWDERS

I. INFRARED SCREENING BY GRAPHITE FLAKE

INTRODUCTION

To measure a material's ability to screen in selected regions of theelectromagnetic spectrum it is necessary to characterize the smoke material in terms ofits performance parameters and figures of merit. The ratio of aerosol mass to transportedprecursor material mass is called "yield factor", or simply "yield" (Y) and is the firstperformance parameter that is used to judge smoke screening performance of a material.The second performance parameter that measures smoke screening performance is theelectromagnetic extinction cross section per mass of aerosol and is generally representedby and referred to as the greek letter alpha, c. It quantifies the size of the "shadow" permass of material when deployed as a tenuous cloud where no particle is in the shadowof another particle. In other words it is the size of the shadow cast by a single particledivided by the particle mass. The third performance parameter, deposition velocity (Q),indicates the rate of aerosol fallout onto the gpound as a smoke plume is transporteddownwind. It can be related to downwind smoke screening performance and takes intoaccount reaerosolization, Impaction, sedimentation, and Brownian motion deposition ofthe smoke material. These three performance parameters have been measured in theSERDEC smoke chamber (Figure 2) and are presented in Table 1. The yield (Y) valuescorrespond to dissemination efficiency of dry powders pneumatically disseminated by theStanford Research Institute (SRI) sonic velocity nozzle operated at 60 psi.

Phosphorous has been a populRr snmoke screening material for a long time becauseit reacts with water vapor and oxygen in the air to produce an optically dense aerosolmass more than three times greater than the starting material mass (yields greater thanthree). The reaction with air allows the formation of aerosol droplets with a mass mediandiameter near the optimal value of 3/4 micron (p) for maximum alpha for visiblescreening at refractive indices in the range of 1.33-1.5. Phosphorus has an acceptablylarge alpha in the visible spectral region but not at the longer infrared wavelengths, wheresmoke screening is required in the atmospheric infrared windows of 3-5 and 8-14 microns(p) wavelength. Infrared screening is necessary in these regions in order to defeatdetectors such as indium-antimonide and mercury-cadmium-telluride that are pat ofthermal imaging systems working in these respective wavelength bands'. Acceptablevalues for alpha (ax) in the infrared are achievable not by using micron size dielectricspherical particles such as those present in phosphorus smoke, but instead by usingconductive particles that are either flakes, fibers, foam or bubbles where maximumdimensions are several microns and minimum dimensions (wall thickness in the case offoams and bubbles) become less than about a tenth of a micron. It is very difficult togenerate such particles with an in situ chemical reaction pulling mass from the air tocontribute to aerosol mass, so the maximum possible dissemination yield is unity.

7 Text continues on page 15.

Page 10: IR Graphite Flake

*0L

2~

ui C C

C.) WV)C 9 ) C.)

S2 ?

Page 11: IR Graphite Flake

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W(DU mmwui ,- W)t-

CE~ ~~ ~ 0o§S4 ) I

__q___V-_ q00 ____ ____ 000 q* C Y0

9Y- 9. Co o I 000 ~ C44 - ci- Vý0 wC4 C4J~b w~C

V..

0 -

r0 c 00

C4 (0 04 00l IDj 0Y CY NY

09 0) 0

0 §) cc

NJ S

N N NN N9

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5- '-

'al 00 0000 0000 CRaq

~~w Cl 0 wt~- ~ O

V-V-W. 0c; *i 0 4y Mqr-0% V *

CO 10" O ,

cq CR0 a~

C') 0 CD

INC) C Y 04 W. N. .

CD V- C'_ _ _ _ _ _ _ _ _ _ _ _SI'rSIC ~ _ _ _

____ ___ ____ __ ____ __ _ _____PL

w

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V-

V)9)- C VO ) Cj0 NO@ 0 ' 04 000)'

;9 q 0t GQ 4V- Iwo MY CO q "q*

CD) CO~ W0C% M~' N

co co 0 0t 0 o m V i )ac

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CM

4 N4 N N4C

N N

Z. C) C) C.)3.

w wNX I Z Zr~

6~Z MIZN m0 a 5 0'

Page 14: IR Graphite Flake

q R p-Y*0a - t ý clC C4 OR~ ci 4pNN @0!@ *0C C t o0

~ ~ _ ____ ____

m D i-i

I oot Iwo 'Co, "*

DOO' v o ocy N V (DNO qtI%

0ND~ (OSO Ih~f q -: C N4 (04V) 4 C# U)W)W U W) O In W)W) W) V) -f -f ,-)vr V. w. V.4 6.

co0 0 _oW)C

C3 c; C a c ;

SO CY CD O

N Cý

z w C. C

12

Page 15: IR Graphite Flake

w- V-

or~ CC4%4 If I QCC) C~ inIw'mo ___IV)_oV__) )

ED6 R CO~

C_ _ _ ccla 4

ciCi co ciV0

NY CY4

Nr I

U~~~ 0 )

w Iw

_____ 'L U* CL -R 4* C

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Page 16: IR Graphite Flake

WS _ _ _ _ _ _ Man

LO

q* (D

LL8_ _ _ _II

w o 4ow q. mqfq I WE co

_ _ _ _ _ _ _ _ ' I14

Page 17: IR Graphite Flake

EXTINCTION COEFFICIENTS OF CONDUCTIVE FLAKES, FOAM PARTICLESAND BUBBLES

Simple theoretical treatments of the electromagnetic extinction cross section permass, a, of conductive flake, fiber, foam or hollow spheres are possible because of theabsence of resonance structure. Orientation distribution, size distribution and absorptiondue to conductivity all act to remove resonance structure that is so apparent in the crosssection spectra of monodisperse nonabsorbing dielectric spheres. For conductive flake,foam and hollow spheres at wavelengths less than about three times the major particledimension and for minimum dimensions greatee than the skin depth, a lies on a highplateau independent of conductivity and complex refractive index, At longer wavelengthsgreater than about three times the particles major dimension a decreases below the plateaulevel eventually with a reciprocal wavelength squared dependence when the absorptioncross section dominates and conductivity is represented by the dispersion relation of a freeelectron metal. One can see an example of this plateau/particle size effect in Figure I andTable I when comparing the a of Asbury 260 and Lonza E-KS-4 in the near, mid and farinfrared regions. The higher a curve is due to a smaller flake major dimension particlesize (mass median diameter) and a thinner flake thickness (minor dimension).

For best screening performance in the near, mid and far infrared spectrum we wantparticles that lie on this high plateau with major dimensions greater or equal to about fourmicrons that extend the plateau across the atmospheric infrared windows out approaching14 microns wavelength. The level of the plateau will now be shown to be inverselyproportional to flake thickness and foam or bubble wall thickness using the geometricoptics theory to explain extinction of radiation by polydispersions of randomly orientatedabsorbing flakes, foams and bubbles throughout the plateau, Here the efficiency factor(Q) for extinction, the ratio of electromagnetic extinction cross section divided bygeometric cross section,is approximately equal to two (Q-2), an approximation thatbecomes more accurate at wavelengths much smaller than particle dimensions.

At wavelengths on the order of particle dimensions the efficiency factor representsan average over the largest resonances that appear in single particle cross section spectraso Q is somewhat higher especially when averaged over the lowest order resonant modesclosest to the plateau edge. However, as apparent from continuous cross section spectralscans such as Figure I the peak value for a is broad and no more than about 20% greaterthan the value for az at shorter wavelengths. Thus the theory of geometric optics servesas a reasonable 2pproximation, beyond the typical region where all particle dimensionsare much greater than the radiation wavelength, on through the resonance region whereresonance structure is washed out by size and orientation distribution yielding Q and avalues only slightly greater than at the shorter wavelengths where the geometric opticstheory is more strictly valid. At longer wavelengths beyond the plateau ca drops quicklywith increasing wavelength and the geometric optics treatment Is no longer applicable.

15

Page 18: IR Graphite Flake

In

Q

NJ

T-

in

u

NZ

T-

46 >

InI

Ii 40a

a I to kn 0 ID in 6 o t

16

Page 19: IR Graphite Flake

Combine the earlier definition of Q, the ratio of the electromagnetic extinctioncross section divided by the geometric cross section G, with the definition of a, theelectromagnetic extinction cross section per mass pV of material where p is the particledensity and V is the particle volume, averaged over random orientation angles'Q

acx 1 QG)1 (QG)O(a= pv "W

If we assume major particle dimensions are greater than about one third of thewavelength, then the geometric optics solution puts Q=2 and if we assume particles arerandomly orientated and convex, a well known result puts the geometric cross section<G>=-S/4 equal to one fourth the surface area. Thus we find that a averaged overrandom orientation becomes

<(>ae 2S/4 = SpV 2pV

For our flake particles S/V-,2/t, where t, is the flake thickness. For bubbles and sphericalfoam particles of radius R we have S/V=3/R at a reduced density p' which becomes inthe case of a bubble with wall thickness t4

41cR 3

3

A foam particle of radius R may be considered to consist of a large number N ofroughly spherical cells having radius r and cell wall thickness t,,. Because adjacent cellsshare walls, total foam particle mass may be expressed as the sum of the masses of Nbubbles having radius r and wall thickness tW2 plus a single envelope bubble of radiusR a•jd wall thickness t,,2. Noting that N=R3/r' we find a reduced density p' for the foamparticle

17

Page 20: IR Graphite Flake

Thus the extinction coefficients comparing these three types of particles averagedover random orientations become

for flakes

for bubbles

1 for foams

A convenient and self consistent set of units puts particle dimensions in microns,density p in g/cmO and a in m2/g. We need conductive (even very strongly absorbingdielectrics are not sufficiently broadband) flakes, foam particles or bubbles with majordimension greater than one third the maximum wavelength to be screened with thesmallest possible minimum dimension in order to maximize a throughout the spectralregion.

GRAPHITE FLAKE MANUFACTURING

Unless the conductive foam and bubble aerosol particles are produced in thefield, from a liquid for example, they have to be transported as foam and hollow sphere. swith solid walls at prohibitively low packing densities. Conductive fibers longer thanseveral microns with diameters on the order of and less than a tenth of a micron areavailable commercially as graphite from Hyperion and experimental quantities of ironwhiskers with this morphology have been made by 3M. Graphite fiber is not desirablefrom a toxicological point of view because it does not break up in the lungs and themorphology is similar to that of asbestos. It has been shown that explosive disseminationof carbon fibers results in the presence of fiber fragments and combustion products in therespirable range3 . Conductive flakes are available commercially and graphite flakes havedistinct advantages over the earlier infrared screeners, brass and aluminum flakes4 .Graphite flakes are not toxic to aquatic life in the environment, in contrast to brass flakes,and graphite flake aerosol does not suffer a flashing problem near a dissemination sourceas aluminum flake does because of its reactivity. Furthermore, as a refractory materialgraphite will not undergo cold welding during explosive dissemination. Thus among thevarious types of conductive particles that screen effectively in the infrared, only graphiteflake is acceptable on all counts.

Graphite flake falls into two categories; natural (mined) and synthetic. Carbonhaving the true graphitic structure is available commercially from naturally occurringfeedstock (embedded in minerals) and synthetic fabrication. Natural graphite is knownto occur in three different forms, each produced from different geological conditions.

18

Page 21: IR Graphite Flake

Natural flake graphite is found in metamorphose rocks that have undergone plastic flow.Vein graphite, also known as lump graphite, is found as veins throughout rock structures.This material being deposited as a result of decomposed carbon-rich materials that latertransformed to graphite under pyrogenic conditions. The third distinct form is amorphousgraphite which results from graphitization of coal deposits due to the presence of moltenmagma. These different forms of graphite are rarely found together due to their differentgeological origins. Synthetic graphite is produced typically from petroleum coke (abyproduct of the petroleum cracking process) or anthracite coal calcined to hightemperatures (electrothermal graphitization). Conversion of the feed stock to producesynthetic graphite may have a yield as high as 85%. Identification of synthetic graphiteis rather simple since it will have a carbon content of at least 99% and the residual ashafter ignition will contain silicon carbide5 . The resulting produced graphitic solid is thencoarse ground and finally processed via ball and/or jet milling to yield a fine "flake" likepowder. Stringent control over particle size reduction leads to uniformly sized powders.Air classification can be utilized to provide the milled powders in a particular particle sizeand narrow size distribution. The calculated density for graphite is -2.26g/cm 3 and hasa Mohs scale of hardness of -0.5-1.5 depending on the different structures5 ',. It isimportant to remember that only naturally occurring flake graphite represents a true flake(analogous to mica) and is capable of being intercalated and exfoliated to yield very thinflakes having high aspect ratios7. Synthetic graphite's "flake" like morphology is a resultof many factors Including the petroleum fraction calcined, orientation of the crystallitesand the nature of the milling operations. Natural graphite can be mined as bothcrystalline flake and vein graphite, with the flake more true in shape being analogous tomica. The natural graphites are known to contain a small amount of silica as acontaminant, the concentration of which depends on the geological origin of the graphite.A small fraction of this silica may be in the crystalline form, which must be restricted tovery low levels under 1/2% because of inhalation toxicity. It w'uld be of great interestto determine the ratio of crystalline to amorphous silica present in a natural graphitematerial and determine via inhalation studies if there exists an inhalation toxicityassociated with natural graphite flake. Because of the morphology differences betweennatural and synthetic graphite, further processing of the commercial flake including balland/or jet milling, air classification, powder densification and grinding fordeagglomeration could prove more advantageous to one graphite form than the other'.

19

Page 22: IR Graphite Flake

ERDEC SMOKE CHAMBER AND DATA COMPUTATIONAL ALGORJTHMS

The 14 cubic meter smoke chamber used to measure the performance parameterssuch as the electromagnetic extinction cross section per mass of aerosol (a), yield (Y) anddeposition velocity (t,) is shown in Figure 2 with the full smoke characterizationinstrument configuration. Glass fiber filters, a rotometer and vacuum pump are used tomake aerosol concentration measurements at a flow rate of 20 liters per minute. Aphotodiode array spectrometer measures aerosol transmittance over the wavelength rangeof 0 .4 p-l.0 p. Two FTIR spectrometers measure aerosol transmittance over the spectralregions 0.9p-3p and 2 .5 p-2 2 p. At reduced concentrations a quartz crystal microbalance(QCM) and an aerodynamic particle sizer (APS) measure aerodynamic particle sizedistribution. The Stanford Research Institute sonic pneumatic nozzle is operated at 60 psito disperse and deaggregate powders to produce an aerosol of primary particles'. Amixing fan is operated continuously in the chamber at a low speed to maintain uniformconcentration and provide a level of turbulence driving reaerosolization and impactionapproximating those components of aerosol deposition in the battlefield. The aerosolsedimentation component of deposition will of course be independent of whether theaerosol Is in a chamber or on the battlefield.

Dissemination yield and deposition velocity are computed based on a series of twofilter concentration measurements. Using the stirred settling model"0 to describe thesituation where concentration is maintained uniform throughout the chamber by a mixingfan, we find the instantaneous concentration C as a function of time t, initial coricentrationC., deposition velocity % and chamber height H

C - Ce -%)tDO

This expression in combination with two filter concentration measurements Cp(t,) andCv(t2 taken over time intervals tj to t,+v and t2 to t+r respectively allows computationof C. and uD as follows. The filter concentration measurement accumulates incrementalmass dm contained in incremental volume dV over time t through t+c. Because the airpump flow rate through the filter is monitored with a rotometer and held constant at dV/dtwe have

C,*~~ i...* d dV &n df-d, -r

20

Page 23: IR Graphite Flake

JlIi

SIII Iti~ItI

!I U

. -,I t--- I2!J

Page 24: IR Graphite Flake

We identify dn/dV as the instantaneous concentration C so substituting the stirredsettling expression

fC~e di C" OH"•fco e dt

Taking the ratio of the second filter concentration divided by the first, the durationof both measurements being c

C,( 0t-

C,( ti)

so that the third screening smoke performance parameter deposition velocity is

In C,( ti)

Solving for the initial concentration

H IeN HJIr

the dissemination yield Y is found knowing chamber volume V and measuring massdisseminated m

,cvm

The extinction coefficient is computed using Beers law along with measurementsof concentration C and transmittance T with knowledge of transmissometer path lengthL through the smoke

aCL T

22

Page 25: IR Graphite Flake

HOMOGENEOUS ELLIPTICAL HALF CONE SMOKE PLUME WITH AEROSOLDEPOSITION

We can judge the performance of a screening smoke material based on the opticaldepth ECL of a smoke plume produced from that material and the duration c of theplume.

"5CLmfa()C(md

The integration over variable 1 is along the line of sight, E is the average extinctioncoefficient along the line of sight, but we should not think of CL as anything more thanthe areal density of smoke over the line of sight. If the cloud boundaries were definedand L could be specified then C could be thought of as concentration C averaged overinhomogeneities along the line of sight, but this is true only in a chamber. This is evidentwhen we define averages

,Nfa(O)c(Od

fc)C(odlfc(odz

fc(t)dl

Pft

We now develop an expression for smoke areal density CL downwind by using an elliptichalf cone smoke plume model in which there is complete mixing. This gives nearly thesame result as the Gaussian Plume model incorporating deposition and is simpler todescribe.

We approximate the areal density CL of a smoke plume along a horizontalcrosswind path and along a vertical crosswind path through the plume centroid path bydeveloping an expression here for a homogeneous plume whose boundaries are definedby an elliptical half cone. The cross sectional area of the elliptical half-cone is iHL/2where H is the plume height and L is the width. Mass conservation requires that thedecrease in plume incremental mass m as it progresses downwind in direction x satisfythe expression

23

Page 26: IR Graphite Flake

dx dx 2

The deposition velocity vD governs the mass loss over the ground surface area Ldx

• M- =-V DCLdX

Making the substitution dt-dx/u• where uw is the wind velocity

dx vw

Setting the above two expressions equal to one another

V W dx 2

Because the concentration, plume height and width are functions of downwind distance x

LDCL . dC dH AL-C.(HL4;ý-7 ,CL=.Z )C-vw 2 dx ax a

Using the relationships that have been developed for elliptical half-cone plumes with aGaussian concentration profile

L-ax,

and

Hwa,,x b

where the coefficients aL, aH, bL and b, depend on Pasquill category and terrainroughness. Thus

V- CL--.(HL--- +CL~ab Mx b,,1 +CHaLbLx 'I-')vw 2 dx

Rewriting

dClax= 2 VIVw (bH+b)

C X abx•b X

24

L MIl_] .. ..I..

Page 27: IR Graphite Flake

Solving in terms of an initial concentration C0 at an arbitrary initial distance x. downwind

close to the generator

2 I2

In =(b +b)ln._- X

nC x a,(l'-b)vw

Mass concentration requires at x. that the mass flowrate into the air, the flowratc out ofthe generator rh multiplied by dissemination yield Y, satisfy tie following equation wherethe depositiun velocity of aerosolized material has not yet had sufficient time to reduceacrosolized mass because of the proximity to the generator, ie.

so that rhY=vwCo-.H.L.. The quantity v,, represents the wind speed and initial plume heightH. and breadth L. may be written

Lo..a,x;,&

Solving for initial concentration

and substituting this into the expression for downwind concentration

25

Page 28: IR Graphite Flake

.lv .aa LX2

The crosswind horizontal optical depth of the plume near the ground is

czCL u e Q' AP

and the vertical optical depth at the plume center is

22

FIGURES OF MERIT

We write the duration of the plume =M/fih in terms of the average mass flow rateth and maximum mass M that can be =ansported for weight limited applications, whilefor volume limited applications "r=VprW where V is the maximum volume that can behwansported and p is the density of smoke material contained in volume V. We can writethe crosswind horizontal optical depth

aCL.2W- wy ,-I,

as a function of wind velocity v., dissemination yield Y, plume effective height H,aerosol deposition velocity % onto the terrain and a parameter y that depends ondownwind distance, windspeed, Pasquill category and terrain roughness.

2 x'",,

2a.(l6-b) 6w

26

Page 29: IR Graphite Flake

Defining a goal function i=yaCLc as the product of crosswind optical depth multiplied byduration, we substitute values for duration in weight limited applications such as largearea screening

Hv M Hv.

and for volume limited applications such as grenades, rockets, smoke pots and mortarsW," I .VP V (atype,.l

The portions of %. and %, that depend on material properties have been put inparentheses and will be called the weight limited Ow and volume limited Ov figures ofmerit, respectively. Because we can not remove the dependence of y upon variables suchas windspeed and downwind distance and because within the first few hundred yardsdownwind yDO is a reasonable approximation for all materials here, we approximate theabove two figures of merit as well as a financial limited figure of merit 4' that gives thesquare meters of screening per dollar of cost.

ww-aY (square meters/gram transported]

OvwaYp [square meters/cubic centimeter transported]

0•,*454aY/cost per pound [square meters/dollar]

These figures of merit depend on the performance parameters cz, Y and UD that wemeasure in the chamber, packed material density p in the storage volume V transportedand the cost per pound. An upper limit on p is the density of the particle itself and thatis the value tabulated. Dimensions of extinction coefficient are screening area permass of aerosol, yield dimensions are mass of aerosol per mass transported and packingdensity dimensions are mass transported per volume transported. Thus the dimensionsof ofY are screening area per mass transported, the dimensions of czYp are screening areaper volume transported and the dimensions of the financial figure of merit aY divided byunit cost is square meters of screening per dollar spent.

If a goal function were defined as area screened per mass, volume or cost ofmaterial for weight, volume or cost constrained situations, it would be proportional to thesame figures of merit for a uniform layer of smoke having depth L and area A. The areascreened per mass M, volume V and cost per pound of material $ are found by requiringthat the optical depth produce a transmittance level T, for effective screening.

27

Page 30: IR Graphite Flake

aYCL lin-T.

This expression provides the value for CL which is then substituted into expressions forarea screened per mass, volume and cost to obtain

(Al A I Y, Ow

C L CL I

2....In.*w

T, Ta(A =M aY = €

Note that for a uniform layer of smoke the area screened per mass, volume or cost ofmaterial is just the respective figure of merit when the wansmittance required forscreening is e.1 or equivalently when the required optical depth is unity. Actually therequirement is closer to a transmittance of 5% which corresponds to an optical depth ofthree in which case the figure of merit should be divided by three to give area screenedper mass, volume or cost for a uniform layer of smoke.

28

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BET SURFACE AREA

The approximate BET surface area contained in the first column of Table I doesnot correlate veryjweU with the electromagnetic cross section a. This is evident in Figure3. No doubt this can be attributed to variability in the porosity (concavity and small pitsin the surface) that will increase BET surface area but not a. Using the geometric opticsexpression developed earlier relating ac to envelope surface area S, we can write theapproximate relationship

"W,,(BET - Porous Area)/2which shows the effect of porous area. This was explored as a possible alternative tochamber testing with the just mentioned negative result. It is interesting to note that someof the better graphite screening materials have BET surface areas around 25 m2/gindicating that the porous area dominates over the "envelope" surface area indicated by a.

"--, 3.00

KS-4

E 2.50 KS-"v CO-7525

N-75 0 N-1SOC: S-* 5-4500

. 2.00 N-3442co-6154 SOLg

E a

N-3203U" 1.50

S-5539o.00 s-go N-500

10 N-71bT 3 2 0 4

70.50

0 .0 0 11 11T,,,,iI II I I,, II W•"' ,, ' ,,, i ll, i I I I I'l , ,, , I, ,,,,,, I ,,II•,, ,

0.60 5.00 10.00 15.00 20.00 25.00 30.00BET Surface Area (m 2/g)

Figure 3. BET Surface Area and Extinction

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CONCLUSION

The concept of describing competing smoke materials in terms of four measurableperformance parameters (extinction coefficient, dissemination yield, deposition velocityand powder packing density) has been presented. Three figures of merit based on thesefour performance parameters have been introduced. All three are proportional to smokeplume optical depth downwind and can be used not only to rank performance, but alsoquantitatively to predict cloud opacities downwind or screening areas. The first figure ofmerit gives the square meters of smoke screening per mass of smoke material transportedand is useful in weight limited applications such as the large area smoke generators. Thesecond figure of merit gives the square meters of screening per volume of smoke materialtransported and is useful in volume limited applications such as grenades, rockets, artilleryrounds, mortars and smoke pots. The third figure of merit gives the square meters ofscreening per dollar of smoke material cost and is useful in situations such as trainingwith large area smoke screening. Here for example the weight constraint of the large areasmoke generator vehiule would have to be met first by specifying a minimum value forthe first figure of merit (weight fimited) and then comparing all materials satisfying thisconstraint based on the third figure of merit (financial limited). For example if aminimum weight limited figure of merit (0.) of 1.50m/g in the 3.5p region were requiredso that a sufficient quantity could be transported to accomplish a large area screeningmission, the most cost effective material from Table 1 would be Asbury 999 with afinancial figure of merit (0p) of 1362m%/. Toxicity of course might become an issue ifthe 16.7% non-carbon component is more than 1/2% crystalline quartz.

Graphite flake manufacturing processes were described. Testing of these materialsin the ERDEC smoke chamber to obtain dissemination yield, deposition velocity andspectral extinction coefficients from the visible through 20 microns wavelength was alsodescribed. Chamber data processing algorithms and downwind homogeneous plumetransport including deposition were derived. A wide variety of commercially availablegraphite powders have been tested in the ERDEC smoke chamber using the SRI sonicpneumatic nozzle at a pressure of 60 psi for dissemination. Performance parameters andtheir product derived figures of merit are tabulated in Table 1 so that materials can becompared over the visible, 1.06p, 3 -5p and 8-14p spectral regions.

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LITERATURE CITED

1. Wolfe, W.L. and Zissis, GJ., ed., The Infiared Handbook, The InfraredInformation and Analysis (IRIA) Center, Environmental Research Instituteof Michigan (1978).

2. Embury, J., "Extinction by Clouds Consisting of Polydisperse and RandomlyOrientated Nonspherical Particles at Arbitrary Wavelengths", OpticalEngineering, 22(1), 71-77(1983)

3. Smoke/Obscurant Symposium XVI, April 14-16, 71(1992).4. Shaffer, R., US Patent, 4,484,195(1984).5. Seeley, S.B., "Natural Graphite," in Encyclopedia of Chemical Technology, Vol.

4, 2nd ed., Wiley-Interscience, New York, 305.355(1964).6. Hosokawa Micron International, Inc.,"Alpine Handbook of Mechanical Processing

Technology",780 Third Avenue, Suite 3201 New York, NY 10017.7. Kuga, Y., Endoh, S., Chiyoda, H. and Takeuchi, K., Powder Technology, 66,85-

88(1991).8. Embury, J., Walker, D. and Zimmermann, CJ., "Powder Processing of Synthetic

Graphite Flakes", unpublished results.9. Deepak, A., Dissemination Techniques for Aerosols, A. Deepak Publishing,

Virginia(1983).10. Fuchs, N.A., The Mechanics of Aerosols, Pergarnon Press, Macmiliam Company,

New York(1964).

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