SCIENTIFIC ABSTRACT LOVHCHEV, L.A. - LOVASI, J.

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• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000930620002-9
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• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: August 23, 2000
• Sequence Number: 2
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

The Theory of Flame Propagation in Systems With S/020/60/131/04/044/073
Branching Chain Reactions B004/B05
basis of experimental data. The author discusses on the basis of the equation
(14) the equation (15) derived from his papert reference 29 for a branohing~
chain reaction with three active centas ind the data from reference 2 with respect
to the propagation of the flame in hydrogen-oxygen-helium (or argon) mixturis.
There are 7 references, 5 of which are Soviet.
ASSOCIATION: Institut khimicheskoy fiziki Akademii nauk SSSR (Institute of
Chemical Physics of the Academy of Sciences, USSR)
PRESENTED: December 14, 1959 by V. N. Kondratlyev, Academician
SUBMITTED: December 8, 1959
Card 2/2

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25~213 S106 61/000/007/003/009
7oZo 0 B1 17YB230
AUTHOR: Lovachev, L. A.
TITLE: Theory of flame probagation in systems with ramified chain
reaction'
PER16ICAL: Akademiy4 nauk SSSR- Izvestiya. Otdeleniye khimicheskikh
nauk, no. 7, 1961, 1240-1248
TEXT: The first section of the Dresent work deals with the theory'of
flame propagation in systems riti ramified chain reactions on the basis
of a mod�l chain reactio -n having one active.center. This problem was
solved by considering the rate of -.rLormation, increase ramification,.and*
break of the chains. A general solution of this problem was worked out'
for reactions of the degenerate ramified type in Ref. 7 (L. 'A. Lovachev
Dokl'. I
-5 SSSR, 123, no- 3 501 (1958)). For systems with throughout
ramified reactions the formulas derived in Ref. 7, could be simplified.
'For the rate of flame propaGation u 0 (cm/sec) the jformul~
Card 1/10

S/062/61/000/007/003/009
25213
Theory of flame propa 7/B230
gation... B11
"h
V I"'
(14)
+2~.hD . (h V + 2h,,) V.
was set up. It corresponds'to a simplified reaction scheme assumed in
Ref. 6 (1. C. Giddings, G. 0. Hirschfelder, Sixth Symposium on Combustion,
199, H- Y-, 1956), and consists of two processes only: 2P A and
P + A C + 2P. From (14) rates of flame' propagation were computed for,
three cases, for which the values of u in-Ref.' 6 were determined by
0
numerical integration of the corresponding equation system. All initial..,
data*of Ref. 6 were used in this calbulation. The resdlts are given in
the Table. c0 = cm = const. was assumed. The,reDorted data show a good.
agreement; thus (14) is proved to be correct '. In addition, their
applicability to the determination of experimental values of rate constants'
in elementary processe3 for systems vith ranified,reactions is proved by
the dependence of th(7 'rate of' flame propagatlon 6n temperature. For a
Card'2/10
MITS '1~
Q.
~M, 45-4,
x

/C07 ""33/C09
G
2527.3 S/j'Y61 /00
B
Theory of flame propagation... 7 230'
f
slightly modified reaction scheme, corresponding to.the oxidation o
hydrogen and consisting of the processes 2P A and ~P 3P, the. f ol:mula:
2c0 (hv 4- h1r) V.'
(10 (15)
OCO ).OcmTrWm (hv + 2hw) V.
was obtained. In case of W 0 and 1~- 0 this formula is simplified:
410 '-4,%, lKvmnA.
(16)
F.C-. P-OCO D.
If the constant.composed of summands of the denominator under the
radical in'(15)
10, CM Tr wM
MW (17).
"coD. (hv + 2hr) V.
Card 3/to
L
a
VNII, M

2,5213 S/062/61/000/007/003/009
Th9ory of flame propagation... B117/B230
is.small enough and the term A c T 71 compared to 2c, D (h +1h,)V may be
0 m r m 0 m v m
neglected rithout exceeding the tolerated calculation error, no considera.;-.',
tion need be paid to the rate of.breaking of the chains. In this case, u
0
may be computed from (16). 'The second par-6 of this work deals rith-the
flame*
.propagi,tion in systems with ramified chain reaction having'three
active centers. As an example, the combustion of hydrogen (Tef. S:
V. N. Kondratlyev, Kinetilra-khimicheskikh gazovykh reaktsiy, M., 1958,.
str. 514) is referred to, rhe:~ein the processes of breaking of chains
were not taken into consideration. The formula for the determination of
u (cm/sec) zras obtained in Ref. 5 (L. A..Lovachev, Dokl. AN SSSR, 12-a-
0
(28). For the determination of p the,
no. 51 995 (1959)): UO py.
Yo
4 2
formula (F 1mA1 + F 2m E2+ F3m 3 + (F1MF 3m 6163 FI mF2mF3m- 261 &2S3-0.-
2
(30) vas suggested. p,~ was found by formula
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25~213 S/062/61/oQd/007/003/009
Theory of flame propagation... B117/B230
2 + (32)
In case of 8K n D K n D u may be determined by' ~he simple
2m 6m P 3m 3m Am P2m' 0
formula
4).. 4),. I"T,.- S- M-
(341
POCO V -Poco V -5:M
For determining u. in case of SK n D Y, the formula
07
2m]Sm P3m- 3mnAm)P2m'
41, lj?;.-nsmK
Ito -
2D D (36)
Poca V :M SM
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S/062/61/060/007/003/009
2521,3
Theory' of flame propagation,.. B117/B230
rab,derived. In order ~o bring this formula in harmony with (16), it may
be
expressed by the real value of the rate constant of the ramification
(KV ),,, and.of the boefficient of diffusion (D ).x~.multfplied by the
m M
density. In'case of such a,formulation, (36) become's' analogous to formula
(16):
(Kv.)3j,(nAm)..O -f
(37)
,Ohere
n Am
(Kv ),,o - G. K,M. (38)
2
Am sep AM sKb
(D.)4 YD-.D.. (39)
An examination of the quqtqd formulas showg that by means of formulas
or (3~), and making use oi- (15), (16) and (17),*the effect of the brehking.;'
of the chains on the rate of flame propagation may be estimated in a real
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/10

25213 S10621611000100710031009
Theory of flame propagation... B117/B230'
system having three active centers. By checking formula (14) on the basis
of results of numerical integration, in case of a correspondence of (16)
to (34) and (37), the solution obtained for such systems was also proved
to be correct. This justifies the possibility of applying formulas (28)
with (30) or (32) and (34) as well as (36) for determining the experimental
values of the rate constants of elementary processes from the temperature
dependence of the rate of flame propagation. The numerical determination
of experimental values of constants of elementary processes, made with
two examples for flames of hydrogen combustion, brought forth satisfactory
results. The authors thank V. N. Kondratlyev and N. N. Semenov for
advice. L. V. Karmilova, A. B. Nalbandyan, N. N. Semenov are mentioned.
There are I table and 15 references: 9 Soviet-bloc and 6 non-Soviet-bloc.
The most recent references to English-language publications read as
follows; 'Ref. 61 1. C. Giddings et.al.s Sixth Symposium on Combustion,
199, N- Y- 1956; Ref. 9: W. H. Clingman et.al. Fourth Symposium on
Combustion, 310, Baltimore, 1953; Ref. 10s J. 0. Hirschfelder et. al.s
Molecular Theory 6f Gases and Liquidst N- Y-P 1954-
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2523,3 S/062/61/000/007/003/009
Theory of flame propagation... B117 B230
ASSOCIATION: Institut khimicheskoy fiziki Akademii nauk SSSR
(Institute of Chemical Physics of the Academy of Sciences
USSR)
SUBMITTED: July 20, 1960
Interpretation of symbols and indices used in this works In the first
part of the work: h i - thermal effect of the reaction (cal/M); ici and W -
rate constants of the reactions (g 2/cm3% M . see); R - rate of formation
of chains (M/CM3, see); n - concentration of the active center P(M/g mix-
ture); nA concentration of the initial material A (M/g mixture); Tt
temperature (OK); C - rea'ct on product. It was assumed that R = R(T) and
F = F(TI). p -density (9/cmi); c - thermal capacity (cal/g OC); Dp -
coefficient of diffusion of the active center P (cm /see); X- thermal
conductivity of the mixture (cal/am - see 00; D = pDp, T = T' - T' of
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S/020/61/136/002/028/034
56
BOO4/BO
'Pool
AUTHOR:. Lovachev, L. A.
----------------
TITLE: Theory of Flame Propagation in Systems With Ndn6-ratif ied
Chain.Reactions
PERIODICAL: Doklady Akademii nauk ssn, 1961t 'vol. 136t No. 29
pp. 384-387
TEXT: In Refs. 1-6 the author derived equations for determining the
velocity of flame propagation on the assumption that the diffusion-coef-
ficients of the initial substances equal the coefficients of thermal dif-
fusivity, and that the concentrations of the initial substances are
linear functions of temperature. The present paper deals with the problem,
taking account of the diffusion equations for the initial substances. In
agreement with Refs. 1,3,7, the following is written down for the scheme
of the non-ramified chain reaction (A - initial substance, P - active
center, C reaction product): A--)2P, ~R -.h R hRPR(TI)nA (1);
R
P + A ->2C P, hK (T I nAn.; 2P A, L? hWW(T-I)n' (3). h is the
W
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89619

Theory of Flame Propagation :Vn Systems With S~020J61/136/002/028/034
lion-ramified Chain Reactions B004/3056
-thermal effect of the reaction (caVmole); R the rate 6f the formation of
Chains (mole/cm3 * see K and W - constants of the continuation and ol
rupture of chains
(g cm,3.mole.sec); nA - concentration of A
(mole/g mixture); n concentration of P; TI temperature (OK). For the
laminary plane flame the following hold:s:
d dr dr
(7. BcW+(DR+(D+'Dw=O. (4)
dv d.,)
d A
0,,5FRnA + 0,5 Wns 0,
(D., 'A) B KnA n (5)
dX dx dX
d dn
'In (6)
(D d
L - B N, +,FRnA W 0
with the bound!lr~ conditions*T 0, n no, nA nAo; T Tb, n-- nb,
dT/dx dn dx dn/dx 0. B u~I,T Tt - TI, D r2D
nA nAb;. A/ 0 A PA'
D -DP; x o'bordinate (cm); density (g/cm3); A = thermal con-
0
ductivity of the mixture (cal/cm.sec. C); c -specific heat (cal/g.oc);

89619
Theory of Flame Propagation in Systeps-With B10201611136100210281034
Non-ramified Chain Reactions B004/BO56
u.- velocity of flow (cm/see); Dj'D diffusion coefficients of P and
PA
2
Af respectively.(CM /see). Index o'refers to the initial state, index b
j to the st;Lte of burning, index m to the state at the maximum value of the
temperature gradient. [Abstracter's note.-in the equations that had been
of
cut out the letter F atands for the index b (burning)]. Under neglect
the quadratic rupt~uZe of the.chiLin at T TMp on the assumption
0 - 5R ~- Kn n and one obtains:
m m Am m Rml
.(d/dx) (-~dT/dx) - BcdT/dx + 4~ 0 Mi (d/dx)(DAdnA/dx) BdnA/dx K
nAn
0 (8),*' (d/dx)(Ddn/dx) --Bdn/dx + F nA 0 (9). On the basis of the
R
approximation method developed in Refs. 1-3 for solving the,diffusion
equationa at T - T' the following is written down:
m
n - KmIlAnAmn (10); n t,+,)+ F NnAm (11), where
Am Y A m m RM
t n + 1T tA-= nAo + 1ATm; 1 -.(n no)/T - nAo)/T 2
0 m b bo 'A (nAb b
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--------- ---- -

89612
Theory of Flame Propagation in Systems With S/020/61/136/002/028/034
Non-ramified Chain Reactions B004/B056
Y__ - oJ)JAo; )q c.DAO//\ of Do - I)mq;
1 2q/y,; o 1 + 2qA/)eA;
A 0
a 1 )aA_1
D mq ; q - (po&m) (T 01/T MI) - at D - (T I) a; qA 4
')Ao A A P 0/~.m) (TVTM
2 2
at ')aA; If r/2D p ; VA r/2DAmpm; r Tm(T T ) and
M b m
m
TM O-5T gives ~j
b- The solution of
(t + AM' -4 K.N'VA
NA) fAWAFRM
+ (12)
nAin fF- N
nmKmR7 V (I + 'wKmN V
By pubs titu~tin g' (19) in (11 n may be calculated. On the basis of the
m
MNA 'k coefficient taking the rate of
results of Refs. 2,6 t,.jK 2
chain formation into account). On the assumption that the rupture taking
pldce urider the root sign in (12), -' 1, it follows:
2 2 21
qA) + 2q A) (13). (12) may then
#A~)ADAM (2 L(tG)) 'V"