SCIENTIFIC ABSTRACT FR:MAMAYEV, B.M. TO:MAMATOV, M.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001032000026-6
• Release Decision: RIF
• Original Classification: U
• Document Creation Date: November 2, 2016
• Sequence Number: 26
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTR

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ACCSSSYOId IdR: AF4033043
The author hag obtained two expressions:
�~ ,
a y ~~+'+�-n) ~~~~~ a~- Ct1S ~ -~/ 1 -- ~ _n cos p� = m. CI. (1~
d " ~ '
vl-pl>n cos ~ .... drsp %~,~~ Fz~' ~ ~ - + ~opee '� 0, ( ~
. YaQ 0~ ~
(where a is thEl dimension of the neck; t is the pitch of the row;yi is the
velocity facto~~; ?- is the reduced velocity; y(~ and x (~ are gas-dynamic
functions; the letters np~e v indicate a limitingg condition) for the ealculatio~t >(
of the velocity at discharge from the array T,ap~;~'at which a,~rifiical condit~.on `,
develops in thy: neck of the channel. At a velocity of~;~1~,~?~'4"' the escape ~~
angle is found. according_tq_x~lg _~Oxmulas: _ __._ ._ _._ .
COs 3~ \ ~ ~ Ynp Cos ~~ ,
~ }i a09~nr COS ~e ~ ~ '~I,.n COS ~n j (3~
3,, ~ aresin ~ cos; y(~~rpp) ,� (x~) .
ward 2/b - � ' - .....-. ,~..~ ~ _ . _ --~ - : .,~
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: ACGESSYON NR: AP4033043 S/Olk7/64/000/001/0075/0084
AUTHOR:, Arono~-, B.M.; Mamayev, B.I.
TITLE: Aetermi~nation of the gae flow escape angle from blade rows of axial- `~
flow turbines
SOURCE: IVtJZ. Aviatsionnaya' tekhnika, no. 1, 1964, 75-$4
TOPIC TAGS: turbine, turbine blade, blade calculation, turbine blade calcul-
ation, gas flow, escape angle, blade raw, gas turbine, gas, compression, gae
con~presaibilit,~, pitch, turbine blade profile, blade profile
ABS~'TiZAGT: In this article functions are proposed for the determination of the
discharge angle:. These functions take into consideration Che geometric pec-
u13.a::ities of 1:he blade array, the compressibility of the gab, and the variable
loblsea along the length of the channel. Formulas are derived which make it
possible to del:ermine thE. escape angle of the flow from a flat turbine blade
array, both at subcritic~tl and at supercritical discharge rates from the blade
. roa-. Fig. 1 oiE the Enclcraure shows the derivation of the theoretical formulas,
' Caz.'d 1/6 .
._ - ~ .
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~ ~~ -~' ~ N x~ -

-~:~ ,.
:~ ;~
h_ .
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895tx~
s/o43/~o/ooc-/oo1/00~/014
On the theo~�y of characteristic C 111/ C 333
can the real axis, then that they are holomorphic in a neighborhood
cif zero, anil finally that in every neighborhood of zero, where the
yP~(t) are rE3gular and free of zeros, it holds
aG
,~ ~ fi(t) ~` T (t~ i (~)
~~1 ~ a
furthermore, that C~~(t) are regular in the entire strip ~Im t~~ Mo.
~'he transiti.on to the fi(t) is carried out with the aid of the
theorem of I). A. Raykov (Ref.6:JAN SSSR, 1, ge, 1938).
From theorem 1 one obtains the following generalization of the
theorem of ~i'. P. Skitovich (Ref.3: DAN SSSR, 8~, 217, 1953)t
Let X1, x2, ... Xn, ... be independent rando~a variables. Let
~~
L1(X) ~ a~X1 + a2X2 + ... + anXn, ..., L2(X) ~ b1X1 + b2X2 + .
. + bnX~ + The convergence of Li(X) (i ~ 1,2) is
understood in the sense that the infinite products
Card 3/4
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~95Q0
~...
h'+
On the theory of characteristic . .
s/o43/bo/ooo,/0o1/oob/o14
C 111/ C 333
in the same strip, tend (1) has a sense and is valid ;in the whole
strip IIm t~s f . (t) (j ~~ 1, ~, . , . )
s,:~tisfy for a sequence ot" real numbers tk~ O~for k -~> oa the
equation
n c~.
J 1~ f ~J (tk~ -~ ~ (tk) y
j=1
(2)
where ~(t) is a function of a complex variable with properties as
i~1 theorem ', 5. ~ ~ ~ ~0 3~ o (j = 1, 2Q . ~ ~) y and if there is a
neighborhood of zero in which none of the f.(t) vani;~hes, then the
cl~aracterist;ic functions f.(t), j = 1y2,...s are also functions of
a complex variable which a~e holomorphic in ~Im t~~G M , and the
equation (2) holds in the whole strip ~Im t' < M Far ~he proof the
author puts do(t) = fi(t)' ~(~Wt) = ~~(t)~Z, o� ~j(t)=fi(t)fj(-t)
and proves iii five lemmata that the ~j(t) are twice differentiable
on the real ~ixis, then that the ~j(t) are infinitely differentiable
CF~rd 2/ ~

~-:
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s95oo.
~..r..~ ,~~~ a ~~ � ~/0~3 6O/GOO/001/006/01 ~
(6,L~oo C111~G 333
AUTHOR: Mamas, L. V.
~.... ... .__..,~....- ._._..~. u.~_.~.__.., __.
2'ITLEs On the theory of characteristic functions
P'ERIODICALs Leningrad. Universitet. Vestnik. Seriya matematiki,
mekhaniki i astronomii, no, 1, 1960, 55-99
T'EXTa Generalizing the results of Yu. V. Linnik (Ref. 1s Usp.
matem. nauk, 10, 137-138, 19559 Ref� 4: DAN SSSR, 116, No, 5,
1957; Refs ;~~ Vestr~ik LGU, No. 1, 1959) and A. A. Zinger and Yu.
V. L~.nnik, (1',',ef, 2s V~;stt~ik LGU, No. 11, ~1-~6, 19~j j} to the case of
a denumerable number of factors the author proves the theorems:
Theorem 1: If the characteristic functions f1(t}, f2(t}, ..., f.(t~,
J
... satisfy in a certain real neighborhood of zero the equation
00 ~ .
~'~ 11 f j~ (t} s ~i (t} (1}
where cP (t} is a function of a complex variable hol~~morphic in
Im t ~ ~ M and possesses no zeros and ~.., ~o~ 0 (,j 1, 2, .. , },
then they are also functions of a comple5~ variable, 1lolomorphic
C~~rd 1~~
~'
~\
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~ ~
~n ScmF ThForems of the Theory of Pa9it~~~FrDufi.na.tu aOV~G~. r~�',.-1.. i?%� ~;
~''1.3nC,'t1 c7ns
satisfy the equation
Ono oli.
~2~ l~' i ~~~ ~tk~ _ ~~tk) ~
wh~are ~(t) has the same properties as in theorem 1 and 0~.~ ~~,~'Cy
~,rti~ i~.f th~~r~r~ ~~xi.;~~~ ~~ ~r+~~'~~k,o;rYi~!.~sl r.!f ~~~a~r.! i.t~ ~u1~!l,~!}~ ~~~.Il f'.(i.l
aria different from zexo, then the f, t are ~~
~ ( ) functions ~~f
complex variable which are holomorphio in ~Im t'~,Mo and (%'
ha;lde in the whole strip IIm t~lM o
0
Ths;! author mentions V~~'NSkitovinh~
Thtlre are b references, 4 of whx.ch are So~~iRty and 2 ~'rench~
ASSGCTATIO?~d~Zeningradskiy gosudarstvennyy univexsitet imeni AoAoZr.c]e,riova
(Lelningrad State University imeni AoA.Zhdanov)
PRESENTED: January 23, X959, by VoI.Smirnov, .Academician
SUB,rTi. T'TED : January i 8, 1959
Card ~,~2
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1+~;1~
AUTHOR: -rtamay, L. V. -.; ,' / J~ ,,
~
T:[TLE: ~~n Some Theorem, of the Theory of Positive-Definite "r'~..,cw
~
.

PF;RIOTTCAL: ;,
.
,
:Doklady Akademii nauk. SSSR,19~;, V~~~l 12~ ,ltir C.
pp 2 (i _~ ; ~
~'
:
-
~
A~?STRACT: T
~
,
,
r
!Phe .r~:sults of Yu~V,Linnik Ref ~sz
/ 3,1:~ a~A
ain
er ~ n
~
'
_
.
,~
�~
,
,,
~~,re generals-zed to the case of courta.bly man; 1~osi+;:i~,;
~~
~
.EunctionsA The author consider: ['ux;cti.o.~;~ pos~.tivc�-d
c,f~nl
~~� ,;~,
.
.
the straight line and normalized ti=n that they ~~re' c;'r~~.r.~,- ; +, ,.;~~ -ir
function
f
s o
one-dimensional re.ndom tc~rm;34
7'heorer~ 1 : If the charact'?ristl.c functions f1 (t~, .r'; (t), ~ ~ ;
f'j (t~, .... in a certain .real nr'igtYborho,~rt of zero ;�~ t;i;-,F.~ tri ~~
Equation oo at.
J~t~ = ~(t~v
(~~ ~f
j
~-1
~y~here ~ (t) a.s a function without z~,~, ~ ~ ~ ! ~ ,,~
o s . i. o l o mo
r ph i
c i r:
n:
.
.
,.
, ~ ,..,,;i }
a.nd o
~~0~O (j=1 92,. ~ ~ ~, thpn they ai�e al:;o fl~r:cti.or~:} o= ~~.
complex variable holomorphie in I I:m t~~':, i~3
and t~n,e r~qu j t 1. ~n (1
o
holds in the 'Nhole strip + Im t1