DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle...

30
WSRL,42OI-MA AR4,3,O2 DEPARTMENT OF DEFENCE DEFENCE SCIENCE AND TECHNOLOGY ORGANISATION WEAPONS SYSTEMS RESEARCH LABORATORY DEFENCE RESEARCH CENTRE SALIWOURY SOUTH AUSTRALIA '-0 MANUAL SIL -MA THE CLOSED VEnEL TW AND DETERMINATION mOF BALLITC PROIERTIES OF QUN PROPELLANTS M.R. GRIVELL 24, ai .. TIC 83 05 24 055

Transcript of DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle...

Page 1: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

WSRL,42OI-MA AR4,3,O2

DEPARTMENT OF DEFENCEDEFENCE SCIENCE AND TECHNOLOGY ORGANISATION

WEAPONS SYSTEMS RESEARCH LABORATORY

DEFENCE RESEARCH CENTRE SALIWOURYSOUTH AUSTRALIA

'-0 MANUALSIL -MA

THE CLOSED VEnEL TW AND DETERMINATION

mOF BALLITC PROIERTIES OF QUN PROPELLANTS

M.R. GRIVELL

24,

ai

.. TIC

83 05 24 055

Page 2: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

LI I

Page 3: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

UNCLASSIFIED

DEPARTMENT OF DEFENCE AR-003-072

DBLUiCE SCIENCE AND TECHNOLOGY ORGANISATION

WkAPGNS SYSTEMS RESEARCH LABORATORY

MANUAL

WSRL-0291-MA

THE CLOSED VESSEL TEST AND DETERMINATION OF BALLISTIC PROPERTIES OFGUN PROPELLANTS

M. R. Grivell

SUMMARY

This manual details the methods by which closed vesseltest data are used to calculate values of ballisticp-iperties of gun propellants. The properties of interest

.re force, vivacity, quickness, predicted gun pressure andpredicted charge weight. Details are also included on ahomogeneity test which can be applied to the test data. I

~~i.

?OSTAL ADiDRISS: Director, Weapons Systems Reuearch Laboratory,

Box 2151, GPO, Adelaide, South Australia, 5001.

UNCLASSIFIED 83 05 24 05 8

... .. ... .- , ., : ......... , .* . j ' .. . . . .

Page 4: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

WSRL-0291-HA

TABLE OF CONTENTS

Page

1. INTRODUCTION I

2. THE CLOSED VESSEL TEST 1

3. BALLISTIC CALCULATIONS 2

3.1 Ballistic level 2

3.2 Homogeneity 4

3.3 Ballistic assessment 4

REFERENCES 8

LIST OF APPENDICES

I THE HONOGENEITY TEST 9

TABLE 1.1 9

TABLE 1.2 11

II SANPLE CALCULATION OF HOMOGENEITY TEST 14

TABLE II.1 INCREMENT FACTORS FCR PROPELLANT MNF2P/S 168-048 14

III 1.JLE OF VARIANCE RATIOS 19

TABLE 111.1 19

Figure III.1 A typical record of dP/dt versus P showing themeasuring points 20

to

t iMt kil'-

C*601-4wal sodio

,pea

Page 5: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

-1I - WSRL-0291-IA

I. INTRODUCTION

All propellants manufactured for the Australian Defence Forces by theDepartment of Defence Support are required to meet specifications regardingchemical composition, shape and ballistic properties. The responsibility forindependently testing samples of these propellants after manufacture to ensurethat they meet these specifications has been given to WSRL. NitrocellulosePropellants Group (NCP) monitors chemical composition, shape and stabilizercontent of the propellants and Gun Propulsion Research Group (GPR) monitorstheir ballistic properties.

This manual describes how the ballistic properties of a propellant aredetermined by burning a sample of the propellant in the closed vessel. Themethodology used to determine the homogeneity of a propellant lot is detailedin Appendix I and a sample calculation, showing how the effect of thepropellant inhomogeneity on the muzzle velocity of the gun it determined, isgiven in Appendix II. Appendix III contains a table of variance ratios usedin the homogeneity calculations and this has been drawn from reference I.

2. THE CLOSED VESSEL TEST

The closed vessel test consists of burning a weighed quantity of gunpropellant in a vessel of constant volume.

The liner of the vessel is a thick walled nickel-chrome-molybdenum steel tube.It is inserted into the vessel body which is a heat-treated nickel steel tubethat has been threaded at each end to receive two closing blocks.

One of the closing blocks carries a piezoelectric pressure transducer whichproduces an electrical signal that is a function of the pressure developed inthe vessel. The sensing element in the transducer is a cylinder of tourmaline12.7 mw in diameter and 6.3 a thick which has been cut in such a manner, withreference to its electrical axis, that hydrostatic pressure applied to thecrystal results in a positive electrostatic charge appearing on one face andan equal and opposite electrostatic charge appearing on the other face. Theother closing block is fitted with electrodes for igniting the propellantcharge and also cont-Jis a valve to exhaust the gases produced in the test.The same method of obt%.ation is used at both ends of the vessel and consistsof soft annealed brass rings that fit half into seatings on the liner and halfinto seatings in the appropriate block.

The ignition element consists of a short length of thin nichrome wire threadedthrough an igniter bag containing 1.30 g (20 grains) of gun powder andconnected between the two electrodes. A dc voltage (12 V) is then applied tothe electrodes from the data recording instrument resulting in ignition of thepropellant.

The electrical signal produced by the pressure transducer is fed via a coaxialcable to the data recording instrument and a record of the rate of change ofpressure with time (dP/dt) against the pressure developed in the vessel (P) isproduced on an X-Y plotter.

The record is analysed by measuring dP/dt at a particular pressure, Pa' known Ias the 'action pressure' and the mximim pressu ,. P.) developed in the

vessel. These values are used as input 6ata to a computer program todetermine values for relative quickness (RQ), relative force (RF) and relativevivacity (RA). .A full description of the program "e the theory of closedvessel testing are described in reference 1.

i 7*1

Page 6: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

WSRL-0291-HA - -

3. BALLISTIC CALCULATIONS

The information required from the analysis of a propellant lot is:

(a) the ballistic level,

(b) the homogeneity of the propellapt lot, and

(c) the ballistic assessment.

3.1 Ballistic level

The ballistic level of a propellant lot undergoing test in the closedvessel is the mean values of its force and vi,acity Lelative to the meanvalues of force and vivacity tor the standard propellant lot.

The force (O) of a propellant is closely related to the maximum pressure(P ) developed by combustion of the propellant in the closed vessel and canbe expressed by the relationship

A= k. (1)

where k is a constant and is u function of loading density, covolune andheat losses.

The force it directly related to the energy of the propellant and hen:eprovides an indication that the propellart composition is correct. P is

obtained from the dP/dt versus P record (see figure 1) and is the pointmarked G.

Vivacity (A) is defined as the rate of change of pressure with time (dr/dt)divided by the maximum pressure (P.)

A = (dPdt)/P (2)

Hence vivacity is a measure of the rate of energy production of apropellant. The prrticular value of dP/dt is read from the dP/dt versus Precord at the action pressure, Pa, and is shown at point H in figure I11.1.

P is chosen to give optimum agreement between the gun and the closed

vessel for a particular propellant type and a general guide for determiningthe value of Pa is given by the expression

P 0.625 P (3)

A more accurate method for determining P is described in reference 2.a

Insofar as ballistic characteristics are concerned, differences between twopropellants in respect of performance in the gun will arise chiefly fromdifferences in force and/or vivacity between the two propellants. Thecombined effect of these parameters, Quickness (Q), is defined an

- ,, .-. v-' i 'i i -- I -- I I ii -. I I--I I. I

Page 7: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

3 -WSRL-0291-MA

Q =force x vivacity (4)

k. A (5)

Substitutingt equation& (1) and (2) into equation (4) gives

Q =k.dP/dt ().

It is usual to compare the ballistic level of a propellant against the

ballistic level of a standard propellant of the sam type and composition.

Consequenltly, the following definitions apply

forc of est ropelant(7)Relative force (R = force of standard provellant

(P M~t(8)

mPUs

Reaievivacity (A iai of ropellant (9)

Relaivevivcit (R) =vivacity of standard

(dP a/dt/P )s

quickness of standard propellant

(~a/dt~t(12)(dP /dt)s

Where the subscripts t and s refer to the test sample and the standard

sawle respectively.

Page 8: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

WSRL-0291-MA - 4 -

RF, RA and RQ are usually given as percentages and consequently equations(8), (10) and (12) must be multiplied by 100.

3.2 Homogeneity

The homogeneity test is a statistical computation that i carried out onthe data obtained from the closed vessel test in order to ascertain howhomogeneous the propellent is between the various boxes and within theindividual boxes that comprise the propellant lot.

The statistical methodology used in the test is fully described inAppendix I and a sample computation on results achieved in a closed vesseltest given in Appendix II.

3.3 Ballistic assessment

The ballistic assessment of a quantity of propellant involves theestimation of the propellant predicted charge weight (PPCW) and the muzzlevelocity or gun pressure (depending on the type of gun in which thepropellant is to be fired) to be expected from the propellant under test.These parameters are calculated from the mean relative values of force andvivacity obtained from the ballistic level calculations and from a varietyof constants called increment factors that are derived from equations ofinternal ballistics.

There are two classes of guns:

(a) velocity adjusted guns

(b) pressure adjusted guns.

A velocity adjusted gun is one in which the charge weight of gun propellantloaded into the canister is adjusted to give the projectile the 'approvedmuzzle velocity' (AMV).

A pressure adjusted gun is one in which the charge weight of gun propellantloaded into the canister is adjusted to give the 'approved Sun prespure'(AGP).

The following theoretical incremental formulae apply:

V xdA + E+aA-(13)YF C

PA F C

Where V = muzzle velocityP = pressure'in the gunA a vivacity of propellantF = force of propellantC = propellant charge weight

Equations (13) and (14) are quite general; the increment factors (x,y, a, u, v and w) are deternined for anv particular set of predictedconditiona.

-. -- ~M

Page 9: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

- S - WSRL-O291-MA

d- =V d -Vex P 1lV V

std

dP Pasd - exp (16)

dA Relative Vivacity - 100 ('7)A

- Relative Force - 100 (18)F

dC = incremental 4djustment in charge weight

x,y and z are the velocity increment factors and i, v and w are thepressure increment factors. Theme factors relate to the propellant/weaponslstem and are derived from internal ballistic theory.

For particular service and proof conditions, the following definitionsapply

Approved Muzzle Velocity a V0

Velocity of Adjustment a V'

Approved Gun Pressure Z P0

Pressure of Adjustment x pt

The 'approved muzzle velocity' (Vo) and the 'approved gun pressure' (Po)

are the velocity and pressure obtained by firinS a Frescribed weight of4standard propellant in a new gun. Under standard proof conditions,however, the muzzle velocity and gun pressure will differ from the approvedvaluer for the prescribed weight of propellant since factors such astemperature, projectile weight and perturbations due to instrumentationaffect the results. These pmrticular values of muzzle velocity and gunpressure are known as 'velocity of adjutment' (V') and 'pressure ofadjustment' (r') respectively.

If a charge weight is sought which will achieve V' at proof, then theIncrement factors of equations (13) and (14) and the standard conditionsfor equations (15) and (16) must refer to these conditions and dV inequation (15) must equal zero. Nance equation (13, can be rearranged to

dC - - dA £ (19)it A z F

Page 10: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

WSRL-0291-MA - 6 -

The 'predicted propellant charge weight', alternatively referred to as the'propellant proof charge weight', (PPCW) can then be readily determinedusing the relationship

PPCW = CWst d ' dC (20)

where CWstd is the Approved Charge Weight,

PPCW is the predicted weight of the particular lot of propellantrequired to give V' in the new gun when fired under standardproof conditions.

CWstd is the amount of standard propellant required to give

V and P0 when fired in a now gun.

The pressure expected to be achieved in the gun using the PPCW of thepropellant under test can be determined. Substituting equation (19) intoequation (14) gives the expression

dP = x dA (V p dF (21)

a A z F

The predicted gun pressure (PGP) is then given by

Mp V OPstd + dP (22)

where GPstd is the pressure achieved in a new gun when fired under standard

proof conditions using the CWstd of standard propellant.

There are certain guns in which the prime ballistic requirement is theestablishment of consistent pressure conditions (rather than velocity).These are called pressure adjusted guns. AccordiLgly, the charge weight inthese guns is adjusted to give P' under standard proof conditions and hencethe term dP in equation (14) must equal zero. Kquation (14) can then berearranged to

dC Cu dA Vu dF (23)

w A w F

The PPCW is then determined fresrn equation (20). The muzzle velocityexpected to be achieved in the gun using the PPCW of the propellant undertest can be determined using equation (13). Substituting equation (23)into equation (13) gives the following expression

Page 11: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

- 7 - WRL-0291-KA

dV = ( u ) V. + (y- --!) V I (24)

w A w F

the predicted muzzle velocity (PtV) in then Liven by

PMI a KVstd + dV (25)

where MVstd is the muzzle velocity achieved when CWst d of standard

propellant is fired in a new gun under standard proof conditions.

, A

II.1

t !I

Page 12: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

WSRL-0291-NA " 6 -

REFRKNCES

No. Author Title

I Davics, OL. "Statistical Methods in research andProduction".

London, Oliver and Boyd, 1949

2 Grivell, M.R. "Automatic Data Processing of ClosedVessel Results".WSRL-0068-TH, January 1979

3 Ministry of Defence "A Manual on Proof of Propellants for(UK) Gua and Mortars (P.26)".

October 1971

4 Brownlee, KA. "Industrial Experimentation".London, IHSO, 1949

5 McHenry, J.T. "Increment Factors for InternalBallistics".DSL Report 249, February 1961

* - - -

Page 13: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

- 9 - WSRL-0291-MA

APPENDIX I

THE HOMOGENEITY TEST

The homogeneity test is a statistical test carried out on the absolute valuesof maximum pressure and vivacity obtained from burning samples of a propellantlot in the closed vessel.

The normal procedure is to fire two samples of the propellant from each ofeight boxes and repeat the determination on a second occasion using a furtherselection of eight boxes.

The methodology used in the test is as follows:

(1) Tabulate the data in the form as shown in Table 1.1:

TABLE 1.1

BOX NO.

1 2 3 .. .

OBSERVATION

I xll X21 x3x kl

2 X12 X22 xsa ..... x2X 2 k2

n xIn x2n x3n, xkns m a l 8 2 8 3 .. . as k

where x1j, X12, X1 3. . .. . .. . .X are the individual observations of P (or

vivacity) and a,, s2, 53 .... sk are the sums of the observations in eachcolumn.

(2) Calculate the grand ..a of observations, S, and the total number ofcbservations, N

S = Si + S2 + ..... k (.1)

N = + n +. ..... nk (1.2)

(3) Calculate the crude total sum of squares

L cwr

Page 14: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

WSRL-02,I-MA - 10-

1 x2 2 x 2 + X 2 + x 1 . ..... Xkn2 (1.3)

(4) Calculate the crude sum of squares between samples

IfSi2 S 1 2 + 2 c 2 V (1.4)

(5) Calculate the correction factor due to the mean

S2 (1.5)

N

(6) Calculate the total sum of squares

(7) Calculate the sum of squarev between groups

(1.4) - (I.5) (1.7)

(8) Calculate the degrees of freedom (d.o.f.)

(a) Between Groups

d.o.f. number of groups - 1 (1.8)

Sk- I

(b) Within Groups

d.o.f. N -k (1.9)

Page 15: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

- 11 - WSRL-0291-HA

(c) Total dearees of freedem

d.o.f. = total number of observations - 1 (I.10)

- N-i

(9) Construct the analysis of variance table as shown in Table 1.2.

TABLE 1.2

Source of Variation Sum of Squares Degrees of Freedom Variance

Between groups k - I V,

Within groups 1X 2 - I N N-k V2ni

Total 1 x 2 - N - I

The variance given in the table is computed from the formula:

Variance = (um.11)me

(10) Calculate the variance ratio, F.

F larter variancesmller variance

(11) Enter the table of variance ratios, F, (see Appendix I1) with=o = d.o.f. (larger variance) and #g = d.o.f. (saller variance) and

note the F value given at the intersection of the *1 colum and 02 row at

the 5% level of probability.

If the calculated value of F (equation (1.12)) is grzater than that

determined from the table, then the result is m"re significant than the 5%level of significance. If however, the calculated value of F is less thanthe F value obtained from the table in Appendix III, then the result is notas significant as the level of the table.

(12) Calculate the standard deviation, a, of a single round using theformula

Page 16: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

WSRL-0291-MA - 12 -

(13) Calculate o as a percentage of the mean

Y 100. (.14)

(14) Calculate the effect of the standard deviation on the muzzle velocityusing the following formulae

(a) For Force

A Y.y.(V of A) (1.15)

where y increment factor for force.

(b) For Vivacity

B Y.x.(V of A) (1.16)100

where x = increment factor for vivacity.

(15) Calculate the estimated effect of the propellant variability in gunstandard deviation, ap2 , using the formula

S= A + B2(1.17)

where C2 for multiperforated propellant (on a weight for weight basis) isgiven by the expression

1:2 IL

C2 (1.18)

where X = nominal charge weight in gusY = charge weight in cloe4 vessel,

and for stick propellant (on the number of sticks basis) is given by theexpression

C2 P (1.19) C

'- " .. .. . i .

Page 17: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

T

- 13.- WSRL-O291-MA

where P = length of charge in closed vesselQ = length of charge in gun.

* (16) Calculate the total estimated effect of propellant and gun on muzzlevelocity (a using the expression

= Op + or2 (1.20)

where ar ia a constant for each type of gun.fr.1 (17) Calculate the expected mean deviation in the muzzle velocity (END) at

gun proof using the expression

MD K.at (1.21)

where K is a statistical constant relating to the number of rounds fired.

(18) Calculate the 95% lower limit on mean deviation of muzzle velocity(ND*S) usiug the fcrmula

ND,5 = K' t (1.22)tt

S~where K' is a statistical constant.

t

i

II

II

II I I I I i"fI l l I• I I

Page 18: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

WSRL-6C291-NA - 14-

APPUkDIX II

SAMPLE CALCULATION OF HOIOENEITY TEST

The following calculation is based on the detail provided in Appendix I andhas been carried out using Imperial units. Thim is the required practice inthe Australian Defence Forces and Department of Defence Support propellantmanufacturing factories for closed vessel work.

Details of the propellant undergoing test are as follows:

Propellant Type: ?fNF2P/S 168-048Propellant Lot No: Lot MDK 782Date of Test: 21 August 1981Standard Propellant: MNF 2P/S 168-C48 Lot RNB31Gun: QV 4.5 inch HK VV of A: 2437 ft/aApproved Nuzzle Velocity: 2430 ft/adV/V 7/2430 = + 0.29%Approved Cherge Weight 13 lb 2 ox 0 drsApproved Gun Pressure 22.2 tai

TABLE 11.1 INCREMENT FACTORS FOR PROPELLANT ?NF2P/S 168-048

u 1.74

v 1.87

w, 2.47

x 0.23

y 0.61

z 0.69

ar2 6.15 ft2.8 "#

r

C2 9.09

K 0.7137

L ' 0.315

(a) Analysis for P2

-- -- ~BO NO. - - -4

ROUND 26 121 191 263 326 369 440 501

1 14.212 14.304 14.291 14.29 14.276 14.298 14.228 14.2002 14.280 14.211 14.291 14.417 14.429 14.356 14.331 14.432

S I s 128.*,,92 28.15 28.582 28.706 128.705 28.654128.559 28.632

(1) Using equation (1.3): 1 P 2 3273.21098

4 ;1-,7

Page 19: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

------------ . r

- 15 - VSRL-0291-MA2Z

(2) Using equation (1.4): 1 IN 3273.150552

(3) Using equation (1.5): 3273.12713

(4) Construct the analysis of variance table.

Source of Variation Sum of Squares Degrees of Freedom Variance

Between boxes 0.02342 7 0.003346Within boxes 0.06043 .0.007554

Total 0.08385 15 0.010900

I P(5) Mean 1 6

a 14.303 tai

(6) Using equation (1.12)

F 0.0075540.003346

'-= 2.26

(7) From table in Appendix III for 11 = 8, #2 = 7

I = 3.68

Hence the result in PI is not significant at the 5% level.

(8) Using equation (1.13)

0115

3 0.0748 tsi 3

(9) Using equation (1.14)

•100 X 0.0748• , 1i4,.303

= 0.523/

(10) Using equation (1.15) and the detail supplted in the table of

<2II

Page 20: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

WSRL-0291-MA - 16 -_

increment factors giver, in Table 11.1, the effect of variance in for.'-

on muzzle velocity can be determined.

Az 0.523 X 0.61 X 2437100

r 7.77 ft/s

(b) Analysis for Vivacity

BOX NO

ROUND 26 121 191 263 326 369 440 501

1 91.90 92.39 91.24 93.06 93.66 94.23 92.00 92.12

2 94.39 93.40 92.79 91.86 93.11 94.18 93.95 94.70Sum 186.29 185,79 184.03 184.92 186.77 188.41 185.95 186.82

(1) Using equation (1.3): 1 vivacity I = 138583.319

(2) Using equation (1.4): s 138572.40572

(3) Using equation (1.5): = 138566.34

(4) Construct the analysis of variance table.

Source of Variance Sum of Squares Degrees of Freedom Variance

Between boxes 6.0657 7 0.86653Within boxes 10.9133 8 1.36416

Total 16.979 15 1.13193

(5) Mean vivacity = I vivacity16

= 93.06 s9-1/

(6) Using equation (1.12)

F 1 .36416 :F=0.8"653 i

=1.574

(7) From the table given in Appendix III, for *1 = 8, *2 = 7

F __= 3.73

Page 21: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

- 17 - WSRL-0291-MA

ie the result is not significant at the 5% level.

(8) Using equation (1.13)

* 1.064 s"1

(9) Using equation (1.14)

y nLO0 1 06493.06

- 1.1431

(10) Using equation (1.16) and the detail given in the table of incrementfactors, the effect of variance in vivacity on the muzzle velocity can bedetermined

B =1,143 X 0.23 X 2437100

= 6.409 ft/s

(c) Analysis of effect of propellant variability on m, zzle velocity

(1) The estimated effect of propellant variability(i 2)o" Sun standarddeviation can be determined using equation (1.17) p

r 2 7.772 + 6.4092p 9.09

- 11.16 ft2 /S2

(2) The estimated total variability in muzzle velocity (at) isdetermined from equation (1.20) 6

0t - 1116 + 6.15

* 4.16 ft/s

(3) Expected mean deviation (S) can be determined usingequation (1.21)

US C ot

-I -'..

Page 22: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

WSRL-0291-MA - is

a 0.7137 x 4.16

= 2.969 ft/a

The 95% lower limit on the mean deviation of muazzle velocity MD95 can be

determined from equation (1.22)

MD5 X=

0.315 x 4.16=1.310 ft/a

f- l

Page 23: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

° 19 - WSRL-0291-MA

APPENDIX IJI

TABLE OF VARIANCE RITIOS

The variance ratio test (or F test) is used in Appendix I to statisticallydetermine the level of inhomogeneity in a propellant lot undergoins test.

The variance ratio F is defined as

F a (1a3)

where V1, Vg are varianc*s and V, > Vg. Associated with the value of F arethe degrees of freedom #j, #& on vhich both V, and V& are based.

Values of F have been coputed at various levels of probability for thedegrees of freedom 01 and #a and values of F for up to 10 degrees of freedomat the 5% level of probability are presented in Table 1I.1

TABLE 111.1

#1 (corresponding to greater mean square)

1 2 3 4 5 6 7 8 9 10

1 161.0 199.0 216.0 225.0 230.0 234.0 237.0 239.0 241.0 242.0

2 18.5 19.0 19.2 19.2 19.3 19.3 19.4 19.4 19.4 19.4

3 10.1 9.55 9.28 9.12 9.01 8.94 8.89 8.85 8.81 8.79

4 7.71 6.94 6.59 6.39 6.26 6.16 6.09 6.04 6.00 5.96

*a 5 6.61 5.79 5.41 5.19 5.05 4.95 4.88 4.82 4.77 4.74

6 5.99 5.14 4.76 4.53 4.39 4.26 4.21 4.15 4.10 4.06

7 5.59 4.74 4.35 4.12 3.97 3.87 3.79 3.73 3.68 3.64

8 5.32 4.46 4.07 3.84 3.69 3.58 3.50 3.44 3.39 3.35!~9 0 5.12 4.26 3.46 3.63 3.48 3.37 3.29 3.23 3.18 3.14

10 4.96 4.10 3.71 3.48 3.33 3,22 3.14 3.07 3.02 2.q8

Variance ratios for degrees of freedom *s, *g from 1 to 10 for the S% level ofprobability.

-d.I

', , t| t ai ll I Pl/ I I t

Page 24: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

ii

WSRL-0291-MA - 20-!

itidp

7 \4

I--I

Ps P" P

)igure 111.1 A typical record of dP/dt versus P

showing the miasurin8 points

WSW

- I I I~--- I I i l i -I I -t I

Page 25: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

DISTRIBUTION

Copy No.

EXTERNAL

In United Kingdom

Defence Science Representative, London No Copy

British Library, Lending DivisionBoston Spa York I

In United States of America

Counsellor, Defence Science, Washington No Copy

Engineering Societies LibraryNew York NY 10017 2

In Australia

Chief Defence Scientist

Deputy Chief Defence Scientist

Superintendent, Science & Technology Programmes

Controller, Project & Analytical Studies

Director, Joint Intelligence Organisation (DSTI) 4

Director of Naval Ordnance Inspection (DNOI) 5

Inspector of Naval Ordnance (Adelaide) 6

Inspector of Naval Ordnance (Melbourne) 7

Inspector of Naval Ordnance (Sydney) 8

Docent kchange CentreDefence Information Services Branch (for microfilming) 9

Document Exchange CentreDefence Information Services Branch for:

United Kingdom, Ministry of Defence,Defence Research Information Centre (DRIC) 10

United States,Defense Technical Information Center 11 - 22

Canada, Department of National Defence,Director, Scientific Information Services 23

New Zealand, Ministry of Defence 24

Auatralian National Library 25

Page 26: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

WSRL-0291-MA

Director General, Army Development (NSO),Russell Offices for ABCA Standardization Officers

UK ABCA representative, Canberra 26

US ABCA representative, Canberra 27

Canada ABCA representative, Canberra 28

NZ ABCA representative, Canberra 29

President, Australian Ordnance Council 30

Army Quality Assurance Division 31

Defence Central Library, Campbell Park 32

Library, Aeronautical Research Laboratories 33

Library, Materials Research Laboratories 34

Library, H Block, Victoria Barracks, Melbourne 35

Library, Engineering Development Establishment 36

Assistant Controller (Development), Munitions Supply Division 37

General Manager, Explosives Factory Mulwala 38

General Manager, Explosives Factory Maribyrnon8 39

General Manager, Explosives Factory Albion 40

General Manager, Munitions Filling Factory St. Mary's 41

WITHIN DRCS

Director, Weapons Systems Research Laboratory 42

Superintendent, Propulsion Division 43

Principal Officer, Gun Propulsion Research Group 44

Principal Officer, Rocket Propulsion Research Group 45

Principal Officer, Propulsion Systems Group 46

Principal Officer, Nitrocellulose Propellants Group 47

Principal Officer, Composite Propellants & Explosives Group 48

Dr A.R. Rye, Gun Propulsion Research Group 49

Dr P.J. Carson, Gun Propulsion Research Group 50

Mr I.R. Johnston, Gun Propulsion Research Group 51

Mr J.H. Eolcroft, Gun Propulsion Research Group 52

Dr C.W. Fong, Nitrocellulose Propellants Group 53

j- !

Page 27: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

WSRL-029 1-MA

Mr N.V. Ayres, Nitrocellulose Propellants GLoup 54

Hr S.G. OdIers, Nitrocellulose Propellants Group 55

Propulsion Division Library 56

DRCS Library 57 - 58

Author 59

Spares 60 - 71

Page 28: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

IXX'iMINT CONTROL VI)A A SHI+lT

Secur ity classification of this pop UNCLASSIFIED

I DOCEUMENT NUMBERS --- 2 j -SECURIT CLASSIFICATION

AR PjR.oo3072 a.Complete UnclassifiedNum~ber: Document:

Series WSL09-kb. Title in UcasfeNumber: WSL09-AIsolation: kcasfe

Other c. Suammsry inNumbers: Isolatiton: Uncassified

THE CLOSED VESSEL TEST AND DETERMKINATION OF BALLISTIC PROPERTIES OF GUNPROPELLANTS

4 [PERSONAL AUTHOR(S): 5 1DOCUMENT DATE:

M.R. Grivell November 1982

661 TOTAL NUMBER

F± OF PAGES 20

6.2 NUMBER OF sREFERENCES:

7 f7.1 CORPORATE AUTHOR(S): RiFERENCE NUMBERS -

Weapons Systems Research Laboratory [a._Task: DEF 80/123

b. Spo'Moring DEFSAgency:

7.2 DOCUMENT SERIES -T-_ ______

AND NUbWiIR 9 COST CODE:

Weapons Systems IRes,%arch Laboratory10291-MA 361997

jiiN (Pbihn J Iiaton COMPUTER PROGRAM(S)

Defence Research Contre Salisbury (Tit .(s) and language(s))

12FRLEAS U _______ ______ (oI.hdcmn)

Approved for Public Rlase

Secuity clasification of this Pp: 1111CLASSIn.D

A;_ _ _ _ _ _ __ _ _ _ _ _ _ __ _ _ _ _ _ _

Page 29: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

Security classification of this pag~e: UNCLASSIFIED

13 FANNOUNCEMENT UMITATIONS (of the infornat ion on thene pgs):

No limitation

14 F1..PTR:AT OFt. EJCThesaurua Ballistics Quality control

Termas Gun propellants Chemical composition

Quality control Homogeneity 1901Specifications

b. Non-7hesaurusTerms Closed vessel test

16j i Ii sscrt lsife.teanucnn of this report will be similarly classific-d'

Thi reortdetilsthemetodsby which closed vessel test data are usedto calculate values of'ballistic properties of gun propellants. Theproperties of interest are force, vivacity, quickness, predicted gunpressure and predicted charge weight. Details are also included on ahomogeneity test which canb applied to the test data.

Security oluification of this pap: UNCLS

Page 30: DEPARTMENT OF DEFENCEestimation of the propellant predicted charge weight (PPCW) and the muzzle velocity or gun pressure (depending on the type of gun in which the propellant is to

The offical doajnaints produced by the Laboratories of the Defence Research Centro Sn~ljryof* issued In one of five categories: Reports. Technical Reports. Technical Meornnde. MAfnush aidSpecifications. The purpose of the letter two catepories is self-evident. with the other three cotegorhobeing used for the following purposes:

* Reports documents preprWi for menail Apurposes.

Technical records of scientific and technical work of a permanent value intene Wc oth..'*Reports sclentisv and tochutalogests working in the field.

Technical : intended prin*riy for disseminating Informaio within the DSTO. They weMemoranda usually tomt~lve in nets." and reflect the personal views of the outhor.

10,