SCIENTIFIC ABSTRACT MASLENNIKOV, M.M. - MASLENNIKOV, N.D.

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• Collection: Scientific Abstracts
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• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT


KASLONIKOTl, red.; SUVOROVA, I.A., isdat.red.; ROZHIN.
tekhn. red.
(Power.units of helicopters; collection of articles] Silovye
ustanovkI vertoletoy; abornik statei. Kookwa, Gos.isd-vo obor.
promWmhl. 1931,0. 184 p. (KERA 12ill)
(Helicopters)

MwIff-Ir. Yurly Georglyevich-
~~rof.. doktor takhn.
nauk, retsenzent;N= 0 T.M., reas; 9MIN, T.P.. takhn.rod.
EAlrAnJection system of the jet drive of a helicopter rotor;
inv6,stigation of basio properties and oharacteristical gompres-
sornala sisteme. reaktivnogo priyods neaushchogo vinta vertoleta;
issledoyania onnovnykh avoistv i osobannostal. Moskva, Goa*
nauchno-taidmAzd-vo Oborongix, 196o. g8 p. (KIRA 13'.10)
(Rotors (Hellcopters))

MMVTAKOV, Aleksey Andreyevich; AkM&WUKOT-,-UjI.. prof., doktor takhn.
nauk, retsengent:ZLATOWTOT, S.T., dotsent. retsensent; KOMONOT.
P.A., dotsent, retsensent; YANQTSKIT, 1,L., Inzhop redo; VMOZOTA#
P.B., isdat.red.; ROZHIN. V.P.. tekhn.red.
(Automatic contrni of airplane power plants] Avtomgtika aviatsion-
nykh silovykh ustanovok. Nowkwa. Gos.izd-vo obor.promyshl., 1960,
372 (MIRA 13:2)
T;irplanes-Nngines) (Automatic control)

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SOM HICIRCULATION Of M& GASES OD ITS VALUZ IN INDUSTRIAL
BUILM PLOTS. Nmolgdkov MS, (Ze Ikon.). may 1950, (5),
19-23). K*e Ir a ton fe-exualsed th4witically and
fornalas, er*,givm for the posed, conposition *to., of Cases
at different points In the syotqa.- If the pass to be
recirculated ar*6ken from a point close to the furnace #A*r*
they are bag they Increase the temperature or the bed and
isprove the ambustion of danp fuel (e.g. peat). If they are
taken rrou a point beyond the boiler or oconmizor %here thoy
sea
iolor, they reduce the bed bmp*retur* and prevent formation
are cc
of clinkeig Recirculation to also a necessary safeguard
against explosions In the case of machine cut lost and of cool
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I I A I-
Technology
Moisture control. of fuel, smoke gases and dew point. Moskva)-Goso energo izd-vo, 1951,
Monthl y List of:Russian Accessions$ Library of,Congressv April 1952. UNCLASSIFIED.

i-rowgiWAS, VittilIMITIM W Low mir, lktrlcolkow H.:4.
I~iwn. Topliva (Fuel trvut.), Vkcc. I-P,I. Peal. %t Lit T J~,
vi"LAure, Ilk f.lrlw~gvs cklzlj~wtl for that, md ble,11911 V3111c:;, c Mzclir
litz-awit Lct:lj ollatork, viblell ire colll)Lvl%ULcd tly (1)
lp.;er, (P) ext:053 all-, (3) wl;trjlk: tile peat, Or (14) riihjulnj Air
ated and vutlod:; (J) wmj (h) ~tve Ir wu
Vic effints aro calcul.
Ili dMis crate furuaces quicker cmW.-tioli Wy licces-A tuc
Lilt.- V.W.Duallm 4WO UY UWille, brickrmi. Over tlw- frout tit Use
III One OQUiLW LNO LIVicialkJ& fnr;~ a n1oplic viall lividlik" MAI (1,011L
of tit" ttx~&Io will thrmiltv tile incolkillt: fuel L,V"-w~ Like IxU:I,-. IM-LI, 11A
peat Iz pi-voi-vud a bolo in Lbe wall It; opellej !,.y wyllk. :1 :;tccl
J -slid Wwog Ili tilt-
'01 "-.t;a of Life ImuraL talk; UT~Alh
fllj-IA~I 11:0101' UIC r,101161k! VVIIJ. Thin $a uctful Cor L:C,4,tluV, up ma (do.
-stjoit Ili Like tiijii chaidor.

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KLUINIKOT, X. S.
ftrwees, - Gfttes
Aftdhald2ing the stirring of a fuel layer In ftwnaces with chain grates.
9 no. 7V 1952.
Za ekon. too"
~~H2-nj-h& !let of Russian Acees sigg e, LibrwT of'Congress, November 1952. UNCLASSIFIEU

MASLUIKOV, M.S,. Inshener.
Control of fuel clogging in bunkors. 'llsk.sta.28 no.7:15-17 JI '57.
(KLRA 10:9)
(Fuel) (Electric -power stations)

MASLEIRTIKOV, M.S., kand.tekhn.nauk
Preventing freezing of brown coal during :railroad transportation.
r6lak. sta. no.4 Supplament:28-29 JI-Ag 158. MRA 11:10)
(Germny. Bast-Lignite)
(Germany, lant-Railroade-Cold weather operation)

AUTHOR: "Maslenikov, M-.S.1, Cand.Tech.Sc. 96-4-18/24
TIME: --gethods of count-:)ring low-temperature gas corrosion in
boilers. (Mery bor'by s nizkotemperaturnoy gazovoy
korroziyey v kotellnykh ustancivkalch).
PERIODICAL: Teploenergetika, 1958, N0.41 pp.86-89 (USSR).
ABSTRACT: The general process of low-teriperature corrosion in
furnace flues is considered. The corrosive action of
flue gases containing oxides of sulphur and water is
plotted as a function of surf-ace temperature in Fig.l.
Data about the temperature necessary to prevent
obtained from a questionnaire sent to German
corrosion,
boiler users, are tabulated. Five methods of keeping
'LIP the.temperature of the furnace walls are listed and
discussed. The use of various kinds of protective
coatings on metal surfaces iE then described, with
particular reference to American practice. Work of the
BriLish Petroleum Company's laboratories at Sunbury
U
and of the Fuel Research Station of the Department of
Scientific and Industrial Research is described.
Particular attention is given to the use,of amraonia
injectionand to the employmont of various additives in
Card 1/2 fuel oil.

Methods of countering low-temperature ;Sas corrosion In bollers.
There are 2 tables. 5 ficrures and references
2 German, 1 English.
KVAILABLE Library of Congress.
Card 212

96-1-20/31
AUTHOR: Maslenikov, M.S., Candidate of Technical Sciences.
TITLE: o Burnine of Carry-over Grit During Chamber Combustion of
Fuel in Boilers. (Dozhiganiye unosa pri kamernom szhiganil
topliva v kotel'nykh ustanovkakh)
PERIODICAL: Teploenergetika, 1958, Vol-5t -N0-1, PP. ?6 - ?? (USSR)
ABSTRACT: In some foreign power suations burning pulverised fuel,
fuel carried over is re-circulated and burned. This measure may
be used either to increase the efficiency or to reduce the
amount of ash discharged to atmosphere.
This practice has been employed at the Dendre Power Station
in Belgium for more than 20 years. A brief description of the
Dendre experience is given aaid test results displayed in Table 1.
The installation at the Zwartberg Power Station 'is briefly
described; test data are given in Table 2. The proportion of
ash trapped at Zwartberg is 'Less than at Dendre because the
furnaces are of different design. The conditions necessary for
success when returning carry-over in installations with dry
ash removal are briefly stated.
In some foreign power stations, carr- over return is also used
along with liquid ash removal mainly in order to reduce the
cardl/2 amount of fly ash discharged to atmosphere. Experience in a

96-1-20/31
The Burning of Carry-over Grit During Chamber Combustion of Fuel
L,e. Boilers.
number of American and German power stations is briefly
cited, the latter being rather unsati4factory.
There are 2 tables and 5 non-Slavic references.
AVAILABIS: Library of uongress.
uard 2/2

0
96-1-21/31
AUTHOR: Maslenikov, M.S. Candidate of Technical Sciences.
..TITLE: Furnaces with 10luidised Beds of Fuel (Topki s kipyashchim
sloyem)
PERIODICAL: Teploenergetika, 1958, -Vol-51 No.1, pp. ?7 - 80 (USSR)
AB15TRACT: The principle of burning fuel in a f luidised bed emerged
before the end of the Second World War. A fluidised bed is a
stable aerodynamic suspension of granulated material through
which gas is made to flow: the theory is briefly explained.
The French "Activit" Company has been developing the use of
fluidised beds in furnaces. Trouble was experienced with
slagginf~,,.Of the furnace walls but an improved furnace made in
1953 gave good results when burning fine coke of Lorraine
bituminous coal and dust of brown coal. Experience with a
furnace at Vernon is described. The first industrial instal-
lation with the new type of furnace was built in the second
half of 1954 at the small power station of La Motte d'A-veillans.
The boiler, illustrated diagrammatically in Fig. 21 is e liven
described and its operation explained. Test results ar
in Table 2.
The various tests that have been made with this kind of furnace
show that it is able to burn a wide range of fuels. The
rdl/2 future prospects of this type of furnace are difficult to

Furnaces with Fluidised Beds of Fuel. 96-1-21/31
foresee, but it looks as though it could be used in-very large
sizes. It seems to be intermediate between stoker- and
pulverised-fuel-firing.
There are 3 figures, 2 tables and 4 non-Slavic references.
AVAILABLE: Library of Congress.
Oard 2/2

NUMMKOWO K68-9,~ ~imd. tokba. vauk.
3i,
Oontrol masures for low-tesperaturs gas corrosion In bailor =its,
%pl6emargstllm 5 uee4t8&89 Ap 158o (win 1115)
(Gorroslou.sad anticorroolves) (Boilers)

I NASLUNMV, H.S. nd.tekhn.nauk
1kaluating the best lose by a,boiler unit Into the surrounding
sodium, Teploenotgotiks'5 n6.9-.89--92 S '58. (HIPA 11:10)
(%liar*),
.1,

KLUMMOYS Mesa. kand. tekhn. nAuk
Construction of fuel bunkers (from "Breanstaff-WArms-graft.'
now 9,1957). Anergakhossa rahe no,6-.12-16 '58.
(KIM 1234)
(coal)
AU

SOV/96-58-9-19/21
AUTHOR; Maslenikoy~ M.S. (Candidate of Technical Science)
TITLE: The Evaluation'of Heat Loss from a~Boiler'Set to the
Surroundings (Ob otsenke poteri tepla kotloagregatom v
okruzhayushchuyu sredu)
PERIODICALs Teploenergetika, 1958, Nr 9, pp 89 - 92 (USSR)
ABSTRACT: Of all the heat lossas of a boiler set2 the amount lost
to the surroundinqs is the most indeterminate and is
0
usually taken as the remnant term in the heat balance.
Values of this he&t loss recommended by various organi-
sations are compared in Fig 1 and it will be seen that
agreement between Soviet, German and American standards
is reasonably good. A general formula is then given for
the determina-tion. of heat lost to the surroundings I with
particular formulae for several different types of
boilers. Reference is made to the new standard of the
American boiler and affiliated industries standards
committee;. here the method of determining the heat lost
to the'surroundings is represented by the nomogram of
-Card 1/2 Fig 2. Soviet and American practice are compared in a.
Table and it will be seen that agreoment is not very good.

77777TT~w-~
SOV/96-58-9-19/21
The Evaluation of Heat Loss from a Boiler Set.to the Surroundings
It is advisable to consider whc-ther Soviet standards for
this loss are-not in fact too high. Hitherto, heat lost
to the surroundings has been treated as a total loss~ but
in fact an appreciable proportion of it heats air that is
later consumed in the furnaces. Considerations of this
kind suggest new methods of-determining the heat loss to
the surroundings.' The heat required to warm and ventilate
thelboiler-house can be measured. When one or two
additional boilers are started up, the boiler-house heating
load is.reduced by an amount equal to the heat lost to the
surroundings.of the additional boilers.
There are 2 figures, 1 table, 1 literature reference
(English)
1. Boilers--Test results 2. Heat--Measurement 3. Mathematics
--Applications
Card-,2/2:1

MASLUIKOV, H.S., kand. tekhn. nauk
I , - - - --~- 41 'tA 110- --
Experience in the continuous controlling of coal moisture. Bnergokhos.
. I I za, rub. no.6:14-18 11-D 159. (MLU 13:3)
1 . (Goal preparation)

SMOMMOs NikolaY Alakwandrovichp prof.$ doktor takhnnauk; 311=11OVSKIT,
Losarl Knumovich; ZUR=w,'Vladiidr Nikolayevich; KA&AMN"t
H.S.4 retsenzent.- am,". 7.O., retsenzent; 'It's 0
J61&iXOF# -OoTeep tekhnorede
[Industrial boiler systems] Kotallnye ustanovki proVehlennykh
prodprilatli, Pod red. N.A.Semeneukoe Moskva, Gos.anerg.izd-vo,
1960.* 391 p. (min 13: 11)
(Boilers)

MASLENINOV, M.So, kandtekhu.nauk
Checking creep In superheated steam supply lines during use.
Awgokh~s,sa rub* 20,3:20-23 Ky;-Jo 160* WRA 1317)
(Creep of "tale)
(Steampipes)

R&SLZIIIKOV, M.S.. kand.tokhn.rAuk
Cc--ttrol methods for primry and secondary steam superheating.
Teploonergetiks 7 no*2:8?-a5 7 160* (MIRA 13:5)
(Steam, Superheated)

MA.SrMRIIKOV, H.S., kaimd.tekbu.nauk; YURSODY, L.T., inzh.
--------------
Iaborstory tests of b=kor quabions. Blek-sta,? 31 no.2,.11-15
F l6o. (MM 13-.5)

s/b96/6i/000/003/012/012
E194/E155
Masleni.kov, M~S*, Candidate of Technical Sciences
TITLE,: Pulsating Burning
PERIODICAL: Teploenergetika, 1961, No. 3, PP- 74-78
TEXT: .-This is~-& review, almost entirely of German work.
The.first chambers with pulsating burning appeared in France
the century. In the 1930's Schmidt developed a tube
for." the weapon, interest in which later diminished becaust.,
the-V-1 doeis not meet the requirements of modern warfare.
Aftert he war.one German company continued to study pulsating
burning in tubes of up-to 100 mm diameter, with the object of
combustion-or gasification* 'After many tests it was decided to
try..a. Schmidt tube on an industrial scale and a furnace of
I to.2 tons per hour.was installed with a boiler. The method of
operatiori~of a tube with pulsating combustion is explained.
A description is given of tests with benzene and with solid fuel,
firstly lignite and later coal. Some of the tests were mainly
concerned with,producing generator and synthetic gas.
Card 1/2

S/096/61/000/003/012/012
E194/EI55
Pulsating Burning
The'factors that govern-the intensity of pulsations are
the fuel consumption, the type of fuel,
the excess-air factor-and the temperature in the tube. The
influence of tube.shape is reviewed. An experimental furnace
with a tube of 400 mm diameter was later constructed; the
..combustion chamber was 4*.5 m long. The first tests were made
in 1954-55, first with gas and later with coal dust. It was
finally,concluded that further work would be required to
improve the combustion, ash removal, and heat transfer. The
investigations indicated that finer pulverisation of the fuel
and heating.of the air and coal would help.
Thereare 6 figures, I table and 10 references: 8 German,
.1 English and I French.
Card 2/2

MASLENNIKOV, Mikhail Semmovich; MOROZOV, V.I.,. red.
[Manual for the mechaMa-tion, automationp and equipping
of trade enterprises and wareh.ouseo] Spravochnik po makhani-
zatsii, av'llomatizatsii i oborudovaniixt torgovykh predpriiatii
i skladov. Moskva, Izd-vo TSentrosoiuza$ 1963. 149 p.
(MM 17: 5)

WLSISIVIKOV, M. V.
Engiheering geology,, hydrogeology and drainage of deposits, Moskva, Ugletekhizdat,,
1951. 210 P. (52-36374)
GB1003.433

tE: IV 41 V,
5T-2T-T-24/40
AUTHORS: Vereshchagin, L. F.p Semerchan, A. A.,
Sekoyan, S. S.
TITLE: Concerning the Problem of the Friction of a Water Jet
on the Nozzle Wall at Supersonic Velocities
(K voprosu o trenii strui vody o stenki sopla pri
sverkhz vukovoy skoroati).
PERIODICAL: Zhurnal Tekhnicheskoy Fiziki, 1957, Vol. 27, Nr 7,
pp. 1589-1590 (USSR)
AB. 3TRACT: Reference is made to the earlier papers by the authors in
Zhurnal Tekhnicheskoy Fiziki, 1956, Vol. 26, Nr 11;
Zhurnal Tekhnicheskoy Fiziki, 1957, Vol. 27, Nr I and Nr 2,
in which was stated that in the case of a 6 liter (volume)
the fluctuations of pressure in front.of the nozzle at a
total pressure of 2000 atmospheres do not exceed 10 %. But
at a high velocity of jet, about 5oo-6oo m/sec, an estimation
of the friction produced on the metal wall is very difficult.
For this purpose the attempt was made.to determine by
experiment the dependence of the water-jet friction at the
nozzle wall on the diameter and on the quantity of pressure
Card 1/2 in front o If the nozzle. The experiments showed that the

Coacerning the Problem of the Friction of a Water Jet on 5T-2T-T-44/40
the 3ozzle Wall at Supersonic Velocities
water temperature is highly dependent as well on the
diameter of the nozzle as on the pressure. Based on the
tests it may be said that from a diameter of 1.25 mm and
more and a pressure below 700 atmospheres the frictions on
the nozzle wall may be disregarded in the outflow of water
from the nozzle. There are 2 figures and 3 references, all
of which are Slavic.
ASSOCIATION: ftsic-S.Laborstpry of Ultrahigh Pressures AS USSRf
Moscow (Laboratoriya fiziki averkhvysokikh davleniy AN
SSSRp Moskva)
SUBMITUMD: January- 26,. 1957
AVAILABLE: Library of Congress
1. Nozzles-Performance 2. Water-Friction-Supersonic velocity
3. Vater~Jetwftzzle friction.-Supereonic velocitY 4. Friction-Vater-
Supersonic velocity
Card 2/2

?IASLENNIKOV, !!.V., Cand Phys Math Sci - (&4ss) "Certain mathematiaal
problems of the theory of the sIQ,,da~.*Iewn and diffusion of
neutrons." Mos, 1958, 10 pp (Acad Sci USSR. Department of
Applied Mathematics. Math Inst im V.A. Steklov) 120 conies
(KL, 27-58, 102)
- 17 -

OVI Me V.9 2o. 1,00
AUTHORS Maslennik 2.14
TITLEs On the General Problem in the Theory of Slowing Down Neutrons
(Ob obahchey zadache teorii samedlenlys. reytrono*)
PUZOPICALs Dokladv AN 38SR, 1958, Vol. 118o Nr.- 29 pp. 259.!.262 (USSR)
ABSTRACT s The state of a neutron is determined in the theory of slowing
down by indicating the adequate phase point Q The
signs means~?"P- the spatial coordinate of the neutron, G - a
coherent domain of the three dimensional apace $3, in which the
process, which is to be examinedt,taken place. ftrther ft G is
valid,, That part of th as $3, which does not belong to G,
Is occupied by.black b:doipo:. Slowing down takes place at va-
rious sorts of nuclei* which fill the domain 0 in any way how-
ever. G, for oak* of simplicity, in supposed to consist of se-
veral parts, each of which only contains nuclei of one and the
same mass.-For the phase density of the collisions of neatrons
an integral equation Is set up. The free-term of this integral
rquation depend* on the boundary conditions and on the distri-
bution of sources. The integral equation here is solved under
Card 1/2 various assumptions about the coefficients, occurring in this

an the General Problem in the Theory of Slowing Down Neutrons 2o-24.4/6d
equation, In case of most of the here given preaumptions the
integral equation has exactly one solutiont which in a Neu-
maim (layman) series and which to unique. Finally the special
cove of the elastic scattering shortly in discussed.
ASSOCIATTONs
PW EMO I
SUMMITTOt.
AVAIWLEt
Cord 2/2
Department for AppIU4 Mathematics of the Mathematical In-
stitute tmeni V.A. Steklov of the AN USSR (Otdeleniye prikloLd-
noy matematiki Matematicheakogo inatituta im. V.A. Staklova,
Akademii nauk SSSR)
August 13, 195T, by H.V. K*ldyah, Aeadodoida
August 8, 1957
Library of Congress

AUTHOR: Waslennikovo MO vo 20-U&,5_13/59
TITLE: Vila's Problem With an Arbitrary Indicatrix
(,~'rcblema Vilna a proizvollnoy indikatrisoy)
PERIODICAL: Doklady Akademii Nauk SSSR, 1958, Vol. 118, Nr 5,
PP- 895-898 (USSR)
ABSTRACT: MilaOs problem of the propagation of radiation in a plane-
parallel scattering and absorbing medium which fills the
half space z > 0 of the three-dimensional space leads to
following integral equationz A
9 ~ (7, AA,) - f0 & - r Y (7- riu) A F 40 4(Y-
Here'r denotes the optical thickness computed from the limit
of the medium;
A the unit vector of the propagation direction of the
radiation; furthermore applies
Card 1/3 6,4, 4L&; &K and

Miln's Problem With an Arbitrary Indicatrix
20-118-5-13/59
here denotes the end point of the axis Oz. V (TIP)
here denotes the phase density of the radiation at the
point (Y A,). The above mentioned equation can be reduced
to an integral equation with respect to the function
TOM-fl ty(~tu)j-lw
I
and investigated with the method of Hopf-Wiener (Khopf-Viner).
This method can, however, in general not be realized, and
therefore the above mentioned equation with an arbitrary
indicatrix was not investigated. For this reason, it is
expedient to immediately investigate the initially given
equation. The hereby made conditions are given. The initially
given equation is closely connecte(I with a characteristic
equation given here; the following can be proved for it:
This characteristic equation admits a nontrivial non
negative:
A -t Aoi -Ao16 C01:0
only in the case of two values of the parameter The
solutions corresponding to these values are then discussed.
Some further conclusions are then given with an almost
exclusive application of mathematical formulae.
Card 2/3

Miln's Problem With an Arbitrary Indicatrix 20-11&5~-2,3/59
There are 4 references, 0 of which are Soviet.
ASSOCIATION: Otd.eleniye prikladnoy matematiki Matematicheskogo
instituta im. V. k. Steklova kkademii nauk SSSR
(Department for Applied Mathematics of the Mathematical
Institute imeni V. A. Stekloy AS USSR)
PRESENTED: Ausust 13, 1957, by M. V. Keldysh, Member, Academy of
Sciences, USSR
SUBMITTED: August 8, 1957
Card 3/3

AUTHOR: Maolonnikov, soT/20-120-1-14/63
TITLE:, on Wick's'Problon (K problems Vika)
PERIODICAL: Doklady Akad*mii nauk SS3R# 1958t vol- 12o, Nr 1, pp.59 62
(USSR)
ABSTRAM, ~.This:pa~er~discusses the steady'problem of the moderation
and diffusion of neutrons which are omitted by a plan*
source into an infinite homogeneoAs.-isotropio mediums This
moderator has the nuclear mass Wand the parameters of the
moderator,are assumed not to depend on neutron energy* The
Ahermal notion of the nurilei and their chouical binding are
assuned to.be negligably small and the scattering of the
nucleons on nuclei is 9]Astio and isotropic in the system
related to the contre of gravityof the neutron and the nuoleusi.
Some papers concerning this.problem are mentioned. In this
paperghdwever, the most important features 6f the exact so-
of Wickto theorem,are discussed and an asymptotic
lutlion
-
formulivis do ivede The author proceeds from the Fourier
I r
the principal
(Lapl*n)-transformation of
(ftr#~o)-L&Plaoe
Card 1/31 .
,
equation

On T, i ok 0.9 Problem SOW/12o-12o-1-14/63
+(Z# Up 9). hA^ f(z, u, 9) + 6 QS(z Qpt ug g)de.
By analyzing the transformed equation it is possible to
avoid using*the method of catenary fractions.-Moreover# the
probligm is generalized as follows: The author4nvestigates
e1so anisotropic, sources and tries to find the asymptotic
value.of the collision density ~(Zqupp as a whole (and
L
not oaly.of its mcmentum ~O(Zqu ~(ZOU90dit). The
calculations are performed ate ~V`by steps At the end of this
P
paper-the author.gives &'mathematical theorem. There are
8'refitrencesp I of which is Soviet*
-ASSOCIATION: Otdolieniye prikladnoy matematiki Matematicheskogo instituts,
V. AO Steklova Akadexii nauk SSSR
of Applied Mathematics of.the Institute of Mathe-
matic's imoni Vo A* SteklovAS USSR)
PRESENTED: January 15,' 1958g by M. V. Keldyxhp Momborp Academy of Scioncest
USSR
Card 2/3

5/044/62/000/001/033/061
C111/0222
AUTHOR: Maslennikov, M.V.
TITLEs On the theory of the spherical problem of Miln
PERIODICALt 'Referatiynyy shurnal. Matr%matika# no. 1, 1962, 55,
abstract I B 261.("Nekotoryye matem. zadachi neytron. fiz.M.9
MGUITP 1960, 56- 79)
TEM flie det-ernination of the density of neutrons in a medium cang under
some natural physical assumptions, be reduced to the integral equation
rB(r) B( t))r+ + (r)
where
A (f) r f(r')Q.(rtr,)S(r,)drj
and Q(r,r,) is a symmetric kernel of a special form and singularity. Using
the properties of this kernel, it is possible to show that the non-trivial
Card 1/2

S/04Y62/000/001/033/061
On the theoi7 of the spherical ... C111 C222
solutions of the corresponding homogeneous equation are continuous. The
existence of a non-trivial solution for this equation is proven under
additional physical assumptions regarding the probability densities of
neutron colli-_.ione with the nucleus of the medium. If one takes a solution
not identiCIL1 to oD as the non-trivial solution of the inhomogeneous
equation, then the necessary and sufficient conditions for the existence
of non-trivial solutions for the complete equation are given under the
same physical conditions. Some other cases are also considered. For the
physical aspects of the questions, see RM Fiz., 1961, 4 B 583.
fAbstracter's note i Complete translation.
Card 2/2

WSLENNIKOV9 M*V* (Vo6skva)
One numerical'method of the solution of the reactor kinetics equation.
Zhur~ vych..mat. i mat. fit. 1 no-3:470-480 My-Je 161. (KIRA 14:8)
(Integrodifferential eqUations) (Nuclear reactors)

31224
S/208161/001/006/013/013
B108/B112
AUTHOR: Maslennikov, M. V. (Moscow)
TITLE: On~' asymptotic lawfulness in the theory of the slowing-down
of neutrons
PERIODICAL: Zhurnal vychisliteltnoy matematiki i matematicheakoy fiziki,
V. 1, no,* 6, 1961, 1136-i139
TEXT: The author studied the time-energy distribution of neutrons (time t'
lethargy,u) in a homogeneous moderator whose nuclei have the mass M (in
neutron-mass units). It is assumed that the macroscopic cross section of
the interaction of a neutron with a.nucleus of the moderator be a t(u) and
that the scattering cross section be a s(u). h(u) is the quotient
a W/aju). The neutron collision density is
D.
(u, 9) ift (u, 1) + F (u, (u, f) r=
Mf
-4.1(u, t) av dv h (us) I-0- wfl/ (U,. V)dul. (2),
A (U)
Card 1/3

311:14
S/208/61/001/006/013/013
On asymptotic lawfulness in the B108/BI12
where (u) =.v(u)at(u), v(u) magnitude of neutron velocity,
CL = (_,., + 12LI 0 for- M = 1; A(U)
/47 , A(u) = max to u - q for M > 1
q = -ln(l I/oL). . The free term F(u,t) in Fq. (I-) is given by the-
initial collision density distribution and source density S(u,t). Eq. (1)
iS considered in a class V of functions f(u,t) for which
v:rai supjf(u,t)[0,.t*>Or. Specially, the case ;~,(U,t) e fVult) is
investigated. Under.the postulate that the Laplace transform
=0.
0 0 for almost every u> 0 it is possible to apply
Tauber's theorem of the theory of Laplace transformations to the function
;~(U,t) and, consequently, also to (~(u,t). The result is
VX/
Card 2/3

3~~2OY61/001/006/013/013
On asymptotic lawfulness in the ... B108 B112
(U, t) F_(~A, -(u)+ 1) (N (u) +(u. t%_ (B)
lim 11 (u, 1) 0.
for almost every (utt)ED. O