SCIENTIFIC ABSTRACT YANENKO, N. N. - YANEVA, N.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001962030008-2
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: September 17, 2001
• Sequence Number: 8
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

On Progreasive Waves of the Equations of Gas 20-110-3-11165
Dynamics
gument. u2 + u2
+ +0 u 1 2 'hon all
TheorGmt If C0 1 U1 2 2
flows are conic. For other solutions f of (1) in eeneral they
are not conieg however, to each solution P there eorrpnponds
a certain solution of a transformed Initial equation which des-
cribes a conio flow.
These theoretical results are used for the solution of the
problem of two plane pistons. There is I Soviet reference.
PRESENTEDs September 2-1.9 1957, by A.D. Sakharov, Academician
SUBMITTEDs November 21, 11957
Card 2/2

10(6) 307/20-123-5-17/50
AUTHORS: Sidorovt A. P.f Yanenkoj It. if.
TITLE: On the Problum of Unsteady Plnne Flows of a Polytropic Gan
of Straight Line Characteristics (K voprosu o nestatsionarnyh
ploskikh techeniyakh politropnogo gaza s pryamolincynymi
kharakteristikami)
PERIODICAL: Doklady Akademii nauk SSSR, 1958, Vol 123, Ur 5, PP 832-834
(USSR)
ABSTRACT: This paper gives a complete classification of the flows
mentioned in the title. The above-mentioned straight-line
characteristics are lines of equal level of the quantities
u iand c in the phase space x11 x2p t' In this case, the
hydrod namical equations have the following form: _11uler
(Eyler~ equation:
2
aui + 2., ac- + u -1U-i 01 1 1,2
at axi 2~ k 'ax k
Card 1/4 k-1
"Y

SOV/2o-123-5-17/50
On the Problem of Unsteady Plane Flown of a Polytropic Gas of Straieht
Line Characteristics
Continuity equation:
2 2 au
2x + > U, c 'L :a - 0
(73te k=1 k-1 axk
It holds that x > l -, 0 2 p-a 2(S)QY
7-1 0 V dQ
denotes the coefficient of the adiabatic line and S - the
entropy. The equotionB of the characteristics are given as
dx,/A 1 - dx 2/ A2 -, dt/1 where 61 in asou mod to depend on
the parameters a 1 and a 2: xi - Ait - dij i R 1, 2. By dif-
ferentiatini, these equations with respect to xk and t, ex-
pressions are found for aa i /axkand aa,/8t and the
Card 2/4 variables a 1 and a2 are then used in the initially mentioned

BOV/20-123-5-17/50
On the Problem of Unsteady-Plane Flows of a PolXtropic Gas of Straight
Line Characteristics
Card 3/4
equations which, after this operation, can be written down
as Ai + tB i - 0, 1 - 1, 2, 3. The symbols A,$ A 2v A31 Blv B2
P3 are written in full. The conditions A i = 0, B i . 0,
i o 1, 2, 3 have to be satisfied. In this way, the authors
obtained an overdetermined Byatem of 6 equations for 5
unknown functions. Inveatigation of the compatibility of
this system gives t follVn results: (r denotes the
rank of the system aul u1
aa1 aa2
8u2 au2
' 0.
aaI aa2
1~ The case r - I in trivial, it gives flows with c - const
2 The case r - 2 gives conic flows, or potential flows,
or turbulent flows (only in the case y - 2).
The case r 3 gives only conic flown. The following conclusion

SOV/2o-123-5-17/50
On the Problem of Unsteady Plane Flows of a Polytropic Gas of Straight
Line Characteristics
may be drawn from the above-discussed considerations: In the
class of the unsteady plane adiabatic motion of a gas (7 / 2)
of straight-line characteristics, there are no turbulent flows
that are different from simple waves and conic flows.
PRESENTED: July 129 1958, by A. D. Sakharovo Academician
SUBMITTED: March 28, 1958
Card 4/4

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16
10(2)
AUTHORS: Sidorov,A.F. and Yanenko,N.N. Chelyabimk) SOV/1 40- 59-1 -19/25
TITLE: Instationary Plane Plows of a Polytropic Gas With Rectilinear
Generators (Neustanovivshiyesya ploski e tecieniya politropnogo
gaza s pryamolineynymi obrazuyushchimi~
PERIODICAL: Izvestiya vysshikh uchebnykh zavedeniye Matematika, 1959,
Nr 1, pp 187-198 (USSIR)
ABSTRACT.- The present p_qper oom letes a publication of Yu.Ya.Pogodir
et '-Ref 13P. For the investigation of the instationary
I'low of a olytro i gas the authors use a method different from
that of Ref 1 It is proved that in the class of instationary
plane adiabatic gas motions (y'j 2) with rectilinear character-
istics there exist no whirlings beside of simple waves and conic
flows. Thus to the considered class there belong 1. simple waves,
2. conic flows, 3. potential flows, 4. for 'r - 2 whirlings
depending on two arbitrary functions of a variable.
There is 1 Soviet rpference.
SUBMITTED: July 2, 1958
Card 1/1

9
16(1)
AUT11ORt Yanahko N 11 SOV/20-125-6-8/61
TITLE% On a Difference Method for the Solution of the 1.;'ultidimensional
Equation of Heat Conduction (Ob odnom raznostnom metode
scheta mnogomernogo uravneniya teploprovodnosti)
PERIODICAL: Doklady Akademii nauk 8SOOR11959,V01 125,11r 6,
pp 1207 - 1210 (USSR)
ABSTRACT: Let the mixed problem
m 2
(1) 1u _ a 2 E d u , u(x 1t...#x 1O)-Vxjj ... X ) I
~t i-1 ax12 m m
u(xll**Ixs-l I O1xs+1P..X M) - fs(xl,..,Xs-lpx s+l"*'Xm 't) I
u(xjv--1Xs-1y lyxs+l"*,Xm) - gs(xl"*Ixs-llxs+l ..,x m,t)
be posed in 0,