SCIENTIFIC ABSTRACT SHARIKADZE, D.V. - SHARIN, A.I.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001548610019-6
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: August 23, 2000
• Sequence Number: 19
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

77
S/020/60/133/02/13/o68
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AUTHORS: Dzhorbenadze, N. P., Sharikadze, D. V.-
TITLE; Flow of a Viscous ConductingLiquid Between Two Porous
PERIODICAL: Doklady Akademii nauk SSSR, 1960, Vol, 133j No. 2,
pp. 299-302
TEXT: The authors assumed for their investigation that a constant
homoL~,eneous magnetic field exists perpendicular to the parallel planes.
At the same time, liquid enters the interspace through one of the
porous walls and leaves through the other porous wall. The amounts of
the incoming and outgoing liquid are equal. The solution ansatzes of the
main equations for magnetic hydrodynamics are given for the case under
consideration, These are the components of the flow velocity of the
liquid and those of the maj,-netic field, and the solutions must satisfy
the system of equations (1). The solutions (3) of the system (1) are
discussed, and the authors obtain equations (5) and (6) for the velocity
Ivai-d I/!2 1

Flow of a Viscous Conducting Liquid
Between Two Porous Planes
S/020/60/133/02/13/068
B019/BO60
gradient perpendicular to the walls and the gradient of the field
strength, respectively. Finally, the authors derive, from the above
results, the solutions for a steady flow between solid planes. The
authors thank Professor K. P. Stanyukovich and Professor D. Ye. Dolidze
for their valuable advice and discussions. There are 8 references;
5 Sovietv 1 American, 1 British, and I Danish.
ASSOCIATION; Tbilisskiy matematicheskiy institut im. A. M. Razmadze
Akademii nauk GruzSSR (Tbilisi Institute of Mathematics
imeni A. M. Razmadze of the Academy of Sciences, GruzSSR
Tbilisskiy gosudarstvennyy universitet im, I. V. Stalina
(Tbilisi State University imeni I. V. Stalin
0
PRESENTED: March 15, 1960, by N~, N., Bo,-,olyubov, Academician
SUBMITTED. March 14, 1960
/C
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-4/Pd-:4/PU-4/P
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ACCESSION NH: Moo2656 /63/000/005/BO12/BO12
SOURCEt Rth. Makhanika, Abs 5B53
Sharikedze,
-f. AUTHOR D.V.
TITLE: Two dimensional flow of Incompressible viscous electricallr
liauid near the critical point In a magnetic field
tCITED SOURCE: Tr. Thillesk. un-ta v. 84p 1961 (1962).. 193-201
TOPIC TAGS: two-dimensional flowj, incompressible liquid,, viscous liquid on-
4ucting liquid, critical point, magnetic field, integro-differential equation*
Reynolds number
TRANSLATION: The problem of the flow of a conducting, viscous, incaq)ressible
fluid against an infinite plane., considering the effect'(on the fluid) of an
external parallel magnetic field perpendicular to the plane was generalized for
the case of nonstationary motion. This problem was studied earlier (see
Neuringerp J.L,,q McIlroy, W.., J, Aeronaut. Sci., 1958., 25, No- 3,, 194-198 - Rzh
mekh, 196o No. 6,, 6989). A determination of the flow In the ne4bborhood of

S/020/61/135/003/010/017
3104/3205
AUTHOR. Sharikadze, D. V.
TITLE: A non-s-11,-eady problem in magnetohydrodynamics
PERIODICAL: Doklady Akaderal-i nauk SSSR, v. 138, no. 3, 1961, 568 571
TEXT: The non-steady flo-~ of a viscous, incomrressible liquid of. finite
conductivity about a plane plate has been studied proceeding from the
system
ox Oy
t alp aB';
+ V -1 -,- Vx; (2)
a9% at ax ay , P -P
tr or or Ir 2 C)32 I LIP I ap
L
0 v. --F - vxy-, (3)
VXT VV pep
ay, ay CP Q4 PC, PCP
which is solved under the boundary and initial, conditions,
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A non-steady problem...
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V.(X. Y, 0) tq (X. Y), V'(-r' Y. 0) VO (X, Y),
V., (X, 0, t) = V;' (X, 0, f) 0, V'(X' -C' = Uo (X, (5)
E (x, 0) E (x, y), E (x, 0, - E,, (x, ti, E (x, oo,
The relation.v, a u (x,t) is assumed to hold for the velocity of flow out-
0
side the boundary layer. vx and vz are the vector components of the flow
velocity Jin the boundary layer, and the pressure is supposed to be inde-
04, -V. This nroblem has been analyzed by liossow (NaCa Report.,
pendent
1358 (1958)) and Cess (J. Heat Transfer (Trans. ASIM-M, Ser. C), 62, no.2
(i?60)) -for the steady case. The author -presents the solution in the form
of an integral equation which is solved in successive approximation. The
Green function
YZ
Q'I - 11) exp 1-114 -'IV(t--rjY I.C. (7)
G exp /'VI
2 Y
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A non-steady problem...
S/020/~1/1381/003/010/017
B,104/B205
makes it Dossible to 'the solutions in the form
(X, Y. t) = Vl-(X, Y, t) +
CO av~ dv,, r, Jvx
S ( - ~ Tr dTj + v. (y, TI, t dyl*. (8)
.C
w
0
JC
E (x, y, 1) V2 (x, y, t) & ~ V, - dTI) G C~, T), t - v) d-q, (9)
. ~ j'-' T" 0 r).r
where Vi(x,y,'6) satisfies the heat-conduction eq uation
02V av, F, (x, 2,
V_
under conditions (5). lo~or a ;.,x -A it is sho,.-rn that any continuous function
can be represented by
b
I
(D(x, Y, t) = I! M. ~ ID d~, (12)
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A non-steady problem....
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if a