SCIENTIFIC ABSTRACT GRIDINA, Z.P. - GRIDNEV, V.N.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000516720002-8
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: January 3, 2017
• Document Release Date: July 27, 2000
• Sequence Number: 2
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

L 07466-67
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smaller or greater than the wake flow uO. The length of the initial section is then
calculated to be
. I A I + A2ttr + A3M2
.L,-O = -4-
2ad(al-aOM+02 I (I - M)2
where A is 'a coefficient determined from the velocity profile
I - 6YI02 + 8ilo' -7 3T)o,
2 2 166 48
-~a, a a3=F
7 7 a4z= 35
In the main flow, the same length parameter takea the form
a4 M2
which for m - 0 simplifies to
+ !!ZL' X-0)]2
UO a3
similar analysis is made for the axisymmetric jet. The results are shown graphicaA
as plots of velocity profiles in the jet and mixing boundaries along the jet axis.
The analysis is then extended to a converging or diverging radial slot Jet issuing
from a nozzle with thickness 280 and diameter 2x . (see Fig. 1). The governing inte-
gral relation for this case is given by
d .~-Luh-'-L"-dy. (k.0.1 2,
.dX X ~ Ul,+2dy A!(k+l)x Q dy
0
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Converging jet Diverging jet
X
'91
W
Fig. 1. Ix
Once more the solutions are given for the initial and main parts of the flow, and the
results are presented graphically. This analysis is shown to be directly related to
the plane flow case with m - 0 through a Mangler-Stepanov transformation. A plot of
um)ru0versus x shows excellent agreement with experiments. The above analyses are
then compared to a similar integral method of L. G. LoytByartakiy where the
governing equations are
it t1(u-its)dy~O,
dx
0
d ~U(U -uj)ydy-~v(n-u&)dy=v,(u,- it,)'
dx
t - .-0
The two approximfite methods are then compared to the exact solution Vith the
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Act -N--R-s
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result; K2 I
at
aim
us
K Im. 0.,
(VXUI iFv 11 at j
a
Golubev expression 0.442 0.286
Loytsyanskiy expression 0-434 0.280
Exact solution 0.454 0.282
A brief discussion is given showing how to extend"the above integral methods to a
turbulent jet which is nonisothermal, compressible, and has variable properties.
Calculations of the above formulas were carried out by T. P. Kondakova and V. M.
Arbekdva. Orig. art. has: 110 equations, 12 figures, and 2 tables.
SUB CODE: 20/ SUBM DATE: none/ ORIG REP: 008/ OTH REP: 004 / ATD PRESS: 5104
V
4

m.)
A7;U6Lb345 5 5
A T 12 A,~ I
AbTHOR: Cinevokiy, A. S. (Candidate of technical sciences)
ORG: none
TITL7,: Turbulent noniaothermal jots of comproijoiblo gaa with variable composition
SURCE: Moscow. Tnontral'W acro-gridrodinamichookiy inatitut. Prorvahlennaya
acrodinamika, no-. '27, 1966. Struynyye tacho'niya'(Jet atre-ama), 31-54,
TOPR; TAGS: LiLrbulont flow, compressible floa, Gnio jot, temperature distribution, u7aa
diffusion, boundary layer
i'LBSTRAC70.A compressible, variable -compoci t i on turbulent analyzed using the
intcjral method. The analysis ic divided into six parto with tho-followinr, assump-
tions holding throughout: the flow is isobaric; the specific beat of each component in
the jet is independent of the temperature; pressure and thernal diffusion are
neL-,Iected; the density is determined from the Clapoyron equation; and there are no
chemical reactions. Part one trouts the plane noniaotheriLal jet in a walco with
Prt - Prd - 1 at high velocities. The governinG boundary layer equations consist. of
species and overall continuity equationof the momentiu7i equation, and the erLcrV
epation. Uaing integral rolationa) tho following equation is obtained for tho flaw
along the jet axis
Card -1 3.601.17.001.2632-517.4

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I -ni C,& D
2~O (tt" d
-------- T FX 110 MY.P (0). Ito UO
in part two, the same problem ic analyzed for the axiayuunetrip jot where the viscous
stress is expressed by the polynomial,
-(T/Y)Y-ol I'llO - 0',
which, upon cubutiLution into tho govofnina equation quid integration, yioldo
flI) Cr ]112
X-xo= ',~,M L-n - ni
24-x 2DC,O (00 UO ~---O
Part three is the same as part one and two codoined, except that the flow velocity is
assumed to be very low. The results of the analysis are shown as velocity profile
cu--ves for various radial temperature distributions. In parts four through six the
conditions Pr (turbulent and diffusional) equal unity are relaxed, and the viscous
stress and thermal conductivity are expressed repectively-by
2
my(
O=QOI11nIhM'Y 1-7 V"-)
-i.t. - - - . ( . - - T
For cp const and small flow V010C ieeg the following expressions are obtained for
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AC~
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the velocity and temperature diotributione
-M b,
-=- + dil .1
2 T--M AIIM ~")Mlldqr r
M b, -+b3
I -M All,
T, 0Pr-I Fit
5 P'Irl - I
10 Pf" 2-8 P(l + 105160
Por a submerged jet, these results agree very well with experimental values for
Pr -= 0-5. The corresponding concentration profile ia given by
t
-f PA12
7 d
.4z A11M
-~. p,2 8' Pld + 7L Ply 2_ 1
5 d 35 7 35 i
which also agrees with experimental-measuremente if Pr d0-5- Orig. art. haas 135
equations, 8 figuresp and 1,table.
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I. OM67-67 EWP(M)IEWT(l) FDN,4&7/51/~4E-
ACC NR' AT6034556 SOURCE CODE: Ult/2632/66/000/027/005
AUTHOR: Ginevskiy, A. S. (Candidate of technical sciences)
ORG: none
TITLE: Calculation of transverse velocities in the initial and main portions of
turbulent jets in wake flow
SOURCE: Moscow. Teentrallnyy aero-gidrodinamicheskiy institut. Promyshlennaya
aerodinamika, no. 27, 1966. Struynyye techeniya (Jet streams), 55-70
TOPIC TAGS: wake flow, jet flow, plane flow, axisymmetric flow, turbulent flow,
turbulent jet
ABSTRACT: Formulas are derived for the construction of the transverse velocity
profiles for both the main and the initial portions of jets in wake flow. The
.10
r rmulas are derived on the basis of two approximation methods. The first uses
boundary layer equations, and the second uses the fiuid continuity equation with the
condition of momentum conservation in transverse cross sections of the jet. The
degree 6f approximation of both methods depends on the approximation expression for
the longitudinal velocity profile used as the initial condition. Using the boundary
layer equations, the transverse velocity profile of the main portion of a plane jet
given by i V
t--=F[ T
, 12iL u)m T. Aom.
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X'~ (1 39) 0 - To dq~
[ -J- + (I + 3q) _,1)3]2
I M au,
0
where
.11 it, -t- Ulf (11), 6il" 893 - 31,4= (I + 31l) (I - 9p.
Y Us M I Up, - U,
UO
Ulm M AUM _ U&
U8 V/
UO
and v is the virtual viscosity coefficient. The upperand lower siga3correspond to
t
.m>1 and m