# SCIENTIFIC ABSTRACT UFLAND, YA.S. - UFNOWSKI, W.

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Document Number (FOIA) /ESDN (CREST):

CIA-RDP86-00513R001857820009-1

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RIF

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S

Document Page Count:

100

Document Creation Date:

November 2, 2016

Document Release Date:

April 3, 2001

Sequence Number:

9

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Publication Date:

December 31, 1967

Content Type:

SCIENTIFIC ABSTRACT

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CIA-RDP86-00513R001857820009-1.pdf | 3.35 MB |

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Investigation of a Non-steady Flow of a Conducting S/05T/60/030/05/01/014
Liquid in a Plane Channel With Mobile Borders B012/BO56
boundary problems obtained will be discrete, which simplifies the
solution considerably. There are 1 figure and 5 referenoi~s' 4 Soviet and
1 English.
ASSOCIATIONt Fiziko-tekhnioheskiy institut AN SSSR Leningrad (Institute
f Physics and Teohnolozy of the AS USSR, Loningrad)
SUBMITTED: December 14, 1959
Card 2/2
,.-UPLAND, Ta.S.
Some cases of irregmlai motion of a conducting liq~ati in an
annular pipee Zhure tekhe fiz. 30 n7o.7-.799-802 ii '6109
(MBU 13:8)
1. Fiziko-tekhnicheskiy institut AM SSSR, Leningrad.
(Fluid dynamics)
8036
I 0-~,000 01, 2-"A 1 3/057/60/030/010/018/019
41 / t1 10 0 !r-111 B013/B063
ATJTHORa Ufliand, Ya. S, 01
TITLE- Steady Flux of a Conducting Fluid in a Right-angled Channel
in the Presence of a Transverse Magnetic Field
PERIODICAL.- Zhurnal tekhnicheskoy fiziki, 1960~ Vol~ 30, Yo., 10,
pp, 1256 - 1258
TEXT: The rutior describes the plane.-parallel motion of all incompressible,
viscous, rinducting fluid in a homogeneous magnetic field which is
perpend'-',;ular to the motion-of the flu:id- An exact solution of this
problem for the case of non-conducting channel walls was given in Ref.. I,
The present paper gives an exact solution for another limiting case, i,e,,
for ideally conducting~ right-,angled channel walls, The definite solution
has the form of (17). (R - Reynolds number; M - Hartmann number'.. Since-
m r
the trigonometric series contained in (17) tend to zero for b--_~,co , the V
first summands constitute a one-dimensional condition corresponding to the
flow between two parallel walls of perfect conduction, From this it may
Card 1/2
Steady Flux of a Conducting Fluid in a
Right-angled Channel in the Presence of a
Transverse Magnetic Field
847736
S/057/60/0--0/010/oia/oig
BO-13IB06-i
be that, contrary to Hartmann's well-known solution for the case of
zion. z~:-ting walls (Ref. 2), such a one-dimensional condit*ion may hold
~u, walls have an arbitrary and infinite condu
even - ction Ref.,
Contiary to th~! results of Ref. 1, the solution in the form of (17) is
particularly convenient for calculations involving high values of the
parameter k ~ b/a. i.e.,, for determining such corrections of the one-
dimensional condition as take account of the effect of wide channels,
y . 1 b. Therq. are 3 referencest 2 Soviet,
ASSOCIATIONt Fiziko-tekhnicheskiy institut AN SSSR; Leningrad (Institute
of Physics and Technology AS USSR, Leningrad)
SUBMITTEI)a May 27, !960
Card 2/2
8037
S/05 60/030/010/019/019
Boi3 o63
7 1 -all YB
/0 POOO f,-1,?
AUTHORi Uflyand, Ya., S,
.W=:= - ---
TITLEi The Hartmann Problem for a Circular Tube
PERIODICLLx Zhurnal tekhnicheakoy fiziki, 1960,, Vol~ 30, No, 10,
pp, 1256 - 1260
TEXT3 From Refs, 1-3 it is known that for a viscous, incompressible,
conducting fluid moving perpendicular to a homogeneous magnetic field
(H.), the equations of magnetohydrodynamics read as follows,~
Ah + -au - 0, AU + M2 ah (1) , where a characteristic velocity.
a a haracteriat Amension, R - Reynolds number, M - Hartmann number,
m
coeffir~ient of viscosity, P - gradient in the direction of motion.
By meana of substitutions the set of equations (I) can be transformej
into two sepaTate equations of the following form (4): &F -41 2F . 0,
J~'f ~~L2'f - o; P. h112, The present paper deals with a circular cross
Card 1/2
80P
The Hartmann Problem for a Circular Tube S/057/60/030/010/019/019
BO!3/BO63
section of radius a. Such problems may be considered to be a generaliza-
tion of the well-known one-dimensional Hartmann problem. The solution of
equations (1) on the axis of the tube is given by trigonometric series,
where Q , r/A; r and 0 are polar coordinates Q Cos 0),' I.(x) are
n
modified cylindric-al functions., The final soluiion of the problem is also_
given,, An exact solution to the corresponding problem for a ring-shaped
crcas aection, for a flow around a cylinder, etc, may be obtained ~ Y\
similarly. This is illustrated by formula ( '10) for the velocity distribJ1
tion in a flow around a non-conductive cylinder which moves at a constant
Velocl-ty v0 (Kn (Y.) - McDonald function)., It is noted that in ordinary
hydroiynamics, such a problam has only a trivial solution v~.r of whereae
in magnetohydrodynamie.9, velority tends to zero for r---,%oo . There are
4 referencrasi I Soviet
ASSOCIATIONt Fiziko-tekhnicheskiy institut AN SSSR, Leningrad (Institute
of Physics and Technology AS USSR, Leningrad)
SUBMITTEDi July 11, 1960
Card 2/~?
AUTHORS:
TITLE:
30998 -
4011241611000100910221,058
ID234/D303
Lebedov, N.N. and Uflyand, Ya.G.
3-dimensional problem of the theory of elasticity
for an infinite body weakened by two plane round
holes
PERIODICi-E: Referativayy zhurnal. Melchanika, no. 91 1961, 11
abstract 9 V6 (Tr. Leniagrr. politelchn. in-ta, 1960,
no. ::~10, 39-49)
TEXT: Th4authors concider the =ially symmetrical problem
of th6 theory of elasticity for an infinite space containing two
plane round holes (irith the centers on one straight line) of the
same radius' situated on parallel pla-acs z - 0, z = -2h. On the
surfaces of a hole, equal axially syrmnetrical distributions of nor-
mal ((rz) and tangential ('d ) stresses are given and it is suppozeo'';
zr
that at the points of a,hole belonging to its different sides the
stresses are equal in magnitude and opposite in direction. Wing
0*'
"
OOC/009/022/058
S/12~61_/
303
3-dimensio-nal problem... D234
to the syminctry with respect to the plane:-z . --h the problem is
reduced to co-nsidcring, an elastic half-bpacc z > It with the
/
boundary conditions L
0
of (Vrz)z--h
.
z--h
and the appropriate conditions at inf inity. The solution in the
regions - h z < 0 and 0 ,;~ z < oo is expressed in texTiis of harmonic
Papkovichwileuber functions, Phonse deteimciination is reduced to two
systems of even integral equations. These systems are reduced to ai
system of Fredholm integral equAtions witin regular kernels. Unknown
functions in the latter -we detennined and -in terms cf
these, the quantities which are essential for the applications can
be axprcooed in closed and comparatively simple form (a formulafor'~
(7, at z - 0, r > a is given). Mmerical results are given for the
*
0). i
case of uniform dilatation at inAnity (cr(r) q, V(r) =
Z-,,\bstracter's note: Complete translation-7
.-Card 2/2, ------
UPLYAND, Ya. S.
The second basic problem in the theory of elasticity for a wedge.
Trudy LPr no*210:6?-94 160. (MIRA 13:11)
.(Wedges)
,01713J90
AUTHORt Uflyand, Ya. S. (Leningrad)
89399
S10401611025100110201022
B125/B204
TITLE: The torsion oscillations of a semispace
PERIODICAL: Prikladnaya matematika i mekhanika, v. 25, no. 1, 1961, 159-162
TEXTz The present paper deals with the torsional vibrations of a semi-
bounded elastic bcxly, which are produced by the rotation of a rigid
cylinder connected with the semispace on a circular surface. An exact
solution of this problem was given by H. F. Sagoci (Ref. 1), using wave-
like spheroid functions. The problemt To a rigid stamp connected witi.
the semispace (z> 0) on a circle having the radius a, the torsional moment
M = M Ree'(V t + 0~) is applied, where V is the frequency of the oscilla-
0 f
tions. All equations of the elasticity theory may be satisfied, even i
only one component of the displacement vector on -the -j-axis (r,q,z are the
cylindrical coordinates) is assumed to be non-vanishings uy-Re(ue i(Vt +d,)
where the function u(r,z) must satisfy the equation
Card 1/6
89399
S104 61/025/001/020/022
The torsion oscillations of-e B125YB204
32u + .1 ju _ R_ + _a2u +k2u = 0 k -V (1.3). Here f is the density
2 r -br r2 3 z2 fl'
and G the shearing modulus. On the boundary of the semispace the condi-
tions uI Z-0---Er, r< a, A-u 0, r >a (1-4) must be satisfied. Here
OZ Z=o
E is the'complex amplitude of the angle of rotation of the stamp, which
is considered to be given when solving the problem. The tangential stress
11
T G duq vanishes on the surface of the body outside the stamp. If the
jz 1z
solution of (1.3) (which tends towards zero at z--l-co), is represented
CD
in he form u e-Z J1(Ar)A(%)dX, one obtains the integral
OD co
equa!,tions A(A)Jj(~r)dA - er, ra (1-7)
0 0
Card';,'2/6
r:,
89399
3/040/61/025/001/020/022
The torsion oscillations of... B125/B204
for the unknown function A(;\) froni the boundary conditions (1-4). Using
a method given by N. N. Lebedev, it is possible to reduce the problem
under investigation to solving the regular Fred-holm integral equation
a
T(X) fq (t)[V(t-x) g(t+x)jdt - 4' x, 0