SCIENTIFIC ABSTRACT KHOKHLOV, R. V. - KHOKHLOV, S. F.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000722130009-7
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: September 17, 2001
• Sequence Number: 9
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

273"
S/05 41/041/002/021/020
Theory, of simple magnetoliydrodynamic ... B111 212
'?Javba are, I -Ahe _461,66
considered .'-for: whiol ityi-denaity 'pressure and
f d a tre'n
a mpij,'~ a.' o i X/.
t
0
f bu a
2
.1m ion- f,
6 t
i i ~possib a t
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X a solved I
h. b t
th' ir
-b b-i An d f0 -with
he I ollbwiyik~,~. wee v Or/
X-1 ox
VIR 6 (OAgn e
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O-by~ rod3raumio Reynolds numbe
-0 r i$~
From tue. sol~ution f or. T the of -.'the"'~olr mave L& is. oal~
-ulated to'be
gu
NIA,
t j
Y~T
I
~x t
+
+ CA x
1.2 3
ml ,Cv
u! 3 (u'
j
p (21).
Card 2/4

S/056J61,1041/662/021/028
Theory of simple magnotohydrodynamio... B111/B212
'0
ox ~'r
vx = +V 0 4 -rew LO = 2.u 192fix.
f' ox A .11
~2p ox 1r/ P) 0 !k T fa
jvox(1- - 'r/P)d vj
3) 0 P X-
X- T>1 corresponds to relatively weak nonlinear effects. b) At k >1
the shane of the shook wave becomes unsymmetrically with respect to the
center level, c) at k >1 v(y) becomes theoretically ambiguous; this
corresponds to a nonsteady real function, The compression jump can be
described with a parameter which is proportional to the shear viscosity
d2v + (V + moo + dy 2 2
parameter 6 by Q' + (v v (25)- Substituting
2 2F, 0
dy
Card 3/5

Propagation of finite...
S10461621008100110111018
B125A102'
w dv/dy gives for the trajeotories on the phase plane
dw v + m00 + ~1 w + _.~_ (v1 v2). A. V. Gaponov is thanked for the
~_v 2 F, r_ 2 r .0
suggestion. There are 2 figures and 6 references: 5 Soviet and 1 non-
Soviet. The reference to the English-language publication reads as .*-.'.,,.,:
follows: J. S. Mendousse. Nonlinear dissipati,~e distortion of progressive
sound waves at moderate amplitude, J. Acoust. Soo. America, 1953, 2.~, 1,
51 - 54.
ASSOCIATION.: Akusticheskiy inatitut:,AN SSSR Moskva (Acoustics Institute
of the AS USSR Moscon); Moskovskiy gosudarstvennyy
universitet (Moscow State University)
SUBMITTED: May 17, 1961
Card 4/5

11/046/62/008/002/011/016
B104/B138
AUTHORSs Soluyan, S. I.,,Xho~~~.
TITLEi Acouatio waves of finite amplitude in a medium with relax&tion
PERIODICAL: Akustioheskiy zhurnalp v. 81 no* 2t 1962, 220 - 227
TEXTt With small Mach numbers and low energy dissipation the propagation
of acoustic waves in a relaxing medium can be described approximately by
the following systems
Ov- a V 8V Br asE
2,P..0 Oe" (1)
T10cG v* (2)
+
dy
For the dispersion losses can be neglected and the system is
2
111vz (v/V
reduced to av/ a z 0)vOv/ay, = 0. a)y w tro sin(v/V 0 2 0 is
0
.the solution of this equation under the boundary conditions z 0,
V - V ain&V. This solution describes the distortion of the sinusoidal
bard 1/3
42

S/046j62/008/bO2/011/oi6
Acoustic waves of finite... B104)(B138
waves until discontinuities have formed. A discontinuity, e.g., is formed
at z z is determined from the relation &WV z /02 1. The solutions of
1 o 1 o
the system (1) (2) in the region 0-r>>1 is obtained from.the transformed
system
av aG
+ 01 G V2 + (8)
24o' W'02 OV, -
'r + MPOCO. V.
ay'. B
VO
V= Wy + A th
EWVOX (13)
+
where A 1-:~mvoglcol.1 (14)
TAW,,
for the dimensionless width of the frontV,-:,.,,For relaxing media Re is
analogous to the Reynolds numbert Re It follows from (13) and
(14) that a' sufficiently large z dist'~hces,:under the condition
sl~v z 02--A4ERe$ the waves are again sinusoida'l:in first approximation.
0 4/ 0
The amplitude is then V a V0/fRe and# at lb~rge Reynolds numb era, it is in-
Card 2/3

8/046/62/008/002/011/016
Acoustic waves of finite... B104IB138
dependent of the initial amplitude. The propagation of acoustic waves is
also studied for 0