SCIENTIFIC ABSTRACT KHASKIND, M.D. - KHASKIND, M.D.

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• Collection: Scientific Abstracts
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• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

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EHABSYIND, M. D.
"The Hydrodynamics of the Rolling and Pitching of Ships." Dr Phys-Math
Sci,, Inst of Mechanics, Acad Sci, USSRO 16 Doe 54- (W11, 6 Dee 54)
Survey of Scientific and Technical Dissertations Def~~nded At USSh
Higher Educational Institutions (12)
SO: Sum- No- 556 24 Jun 55

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USSR/Mathematics - Hydrodynanics
Card 1/1
Author : Khaakind, M. D.
Title : Wave motion of a heavy liquid
Periodical : Prikl. mat. i mekh., 18, 15-26, Jan/Feb 1954
Abstract : Solves the spatial problem of the wave motion of a heavy liquid caused
by the vibration of bodies or the pulsation of singularities. Examines
the planar-parallel waves generated by pulsatin6 and non-statlonary
singularities in a heavy liquid.
Institution :
Submitted : February 6, 1953

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Uncl. JTR ~'Y 54.8

KMSMP HO I;*
wCertain Peculiarities in the Rolling of Ships and- Its DampIM,,N paper
preaeated at Sci* Conf, in Lenimgrad In memory of Krylov, Nov. 1955,

LJ33RjT1ech_,n1c's,.- HydromechanIcs
71
Card 1/1 P~b 85-9/19
Author Khaskind, M. D.
Title Non steady-state gliding along the excited surface of a heavy liquid
Periodical : Prikl. Mat. i Mekh., 19, 331-342, May-June 1955
Abstract : The author considers the plane problem of the vibrationo of a veakly
bent gliding contour along the surface of a heavy liquid for a given
system of inflowing regular vaves. For its solution he introduces a
fuctional combination of a complex variable, vhose determination re-
duces to the solution of an infinite system of equations relative to
the coefficients of the series expansion of this function. He ana-
lyzes the solubility of this system and determines the perturbed vave
motion of a heavy liquid and the hydrodynamic forces acting on the
gliding surface.
Institution; --
Submitted : October 30, 1954

i"MA11--"Kill"I'll, ili.D.
"Tecriya SoprotivIonlya Sudov Pri K'iw6f2 117:~ Vol!,.,,~i~iyn,ll 'L, v "Q; 3 -
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REMEZ, Yu.T. (Nik*Uqov); PMSKM, N.D. (Odeon&)
Approximate determination of the optimm size of ships. IzvAl
SM.Otd.takh.nauk no.4:145-146 Ap 156. (KM 9:8)
(Shipbuilding)

KHASKIND. H.P,(Odssea).
Approximate method of evaluf%ting the wave-renintrince of alonMted
ohips. Xxv.AN SSSR.Otd.tekh.nauk no.10:10P.-112 0 156.
(MIRA 10:1)
(Waves) (Ship resistance)

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KH"KIND, M.D. (Odessa)
Three-dimensional flow around thin bodies. Prikl.nat.eekh.20 no.2:
203-210 Mr-Ap 956. (Aerodynamics) (nU 9: 7)

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AVILT.T.,' Library of Cong ess.
Card 3/3 1. Acoustic waves-Liquid-Diffraction 2. Acoustic waves-Liquid-
Radiation 3. Mathanatics-Theory

AUTHOR: Khaskind, M.D. (Odessa). 24-7-9/28
TITIE: Disturbance forces and degree of immersion of ships in
presence of waves. (Vozmushchayushchiye sily i
zalivayemost' sudov na volnenii).
PEIIIODICAL:"Izvesti.va Akademii Nauk.Otdeleniye Tekhnicheskikh Nauk"
(Bulletin of the Ac.Sc., Technical Sciences Section),
1957, No.7, pp.65-79 (U.S.S.R.)
ABSTRACT: The case of arbitrary waves is considered and the general
formulae are derived for the disturbance forces and the
moments acting on the ship. It is shown that during
radiation of diffracting waves, which can be characterised
by a dipole source, concentrated pressure etc., the
disturbing forces and moments can be determined more simply
by radiation functions of the vessel which characterise the
radiation of the waves in a heavy liquid during oscillation
of the ship with unit speed amplitudes. In the case of
diffraction of the regular system of travelling waves the
forcee and the moments and also the generalised damping
coefficients are expressed solely by asymptotic character-
istic radiation functions and their inter-relation is
1/2 established evaluating the degree of flooding of ships in
presence of waves. The obtained results are applied for

- KHASKIND..N.D.,doktor fis.-mat.nauk
Some characteristics of rolling wA methods of controlling it.
Tmdy NTO sud. rom. 7 no.2:61-71 '57. (MIRA 12:1)
TStability of ships)

MfiLSKIND. II.D., doktor fiziko-matemat. nank, prof.; KHOIaTKO, V.S., aspirant
Slectromagnetic oscillations in cylindrical nagnetrons. Trud7
01TIP i KHP 8 no.1:63-74 '57. (MIRA 12:8)
1. Kafedra fiziki Odesekogo takhnologicheekogo instituta
piahchevoy i kholodillnoy prorVehlennosti.
(Kagnetrons)

I ;..-.
AUTHOR: Khaskind M D (Odessa) P-44-25/34
TITLE: Diffraction of progressive waves round a vertical barrier
in a heavy liquid. (Difraktsiya beb-ushchikh voln vok-rug
vertikallnoy pregrady v tyazheloy zhidkosti).
PERIODICAL: "Izvestiya Akademii Nauk,Otdeleniye Tekhnicheskikh Nauk"
(Bulletin of the Ae Sc Technical Sciences Section),
1957, No.8, pp.146-iZ9*~U.S.S.R.)
ABSTRACT: A method is described for the determination of the forces
and couples resulting from the diffraction of progressive
waves round a vertical barrier in a heavy liquid. The
barrier extends from the bottom of the liquid right up to
its free surface. The forces and couples can be obtained
from the asymptotic forms of the wave functions which
describe the waves in the presence of barrier vibrations.
General formulae iare given and the special cases of a
c`ircular cylinder and a plane are considered in some detail.
An approximate method is described for the calculation of
the asymptotic forms of the wave functions for an arbitrary
cross-section of the barrier.
There are 1 figure and 6 roferences, 4 of which are Slavic.
SUBMITTED: January 34 1957.
AVAILABLE: Library of Congress
Card

AUTHOR: Khaskind, M. D. (Odessa) 24-9-10/33
TITLE: On the irreverbible and non-equilibrium processes of
compression and expansion in gas engines. (0 neobratimykb
i neravnovesnykh protsessakh szhatlya i rasshireniya v
gazovykh mashinakh).
PERIODICAL: Iz-~restiya Akademii Nauk SSSR Otdeleniye Tekhnicheskikh
Nauk, 1957, No-9, PP. 76-81 (USSR~
ABSTRACT: The non-ateady state unidimeneional motion is considered
of a viscous and heat conducting gas in piston engines and
an evaluation is made of the irreversible and non-
equilibrium processes of compression and expansion of the
gas as a function of its physical constants and its
relative flow speed. In para.! the processes of thermal
conductivity and internal friction are considered, assuming
that there is a heat inflow q per unit of mass of the gas
per unit of time due to the heat conductivity and internal
friction as expressed by eq.(1.1), P-76,based on the book
"Mechanies of continuous media" by Landau, L.D. and
Livshits, Ye. M., 19,V~. The results derived in para.1
show that in the processes of compression and expansion in
the gas it is possible to completely disregard the
irreversible phenomena of thermal conductivity and internal
Card 1/2 friction and, consequently, to consider the gas as being

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AUTHOR: KHASKIND.,,M4,Do (Odessa) 40-4-20/24
TITLEs n le Suction Forco-of an Oscillating Wing in a Subsonic Flow
(0 podoaayvayuBheho~'6ile'koleblyushchegoeya kryla. v dozvuko-
vom Potoke).
PERIODICALs Prikladnays, Mat.i Mekh., 1957, Vol.21,Nr 4, PP-561-564 (USSR)
ABSTRACTs The author represents a theoretically carefully founded
derivation of the well-known formula'for the suction force of
a wing which is flown on with subsonic velocity (sees Khaskindl
Priklad*Matei Mekh,1100947; translation No Ag-T-22, Air
Mat. Com. and Brown University)* New results are not present-
ed.
SUBMITTEDt January 12, 1957
AVAILABLE: Library of Congress
CAPD, I./I

M. D.
11 Radiation an d Diffraction of Sound waves in a Half -Space."
paper presented at. the Ifth All-Union Conf . on AcouzticG, Ml:~scow, 26 I-lay - -1 Jun 58.

46.- 4-1-13/23
AUTHQR: Khaskind, M. D.
TITLE: _Diifraction and Emission of Acoustic Waves in Liquids
and Gases. Pt.II. (Difraktsiya i izlucheniye akusti-
cheskikh voln v zhidkostyak.L, i gazakh. Chast" II-)
PERIMICAL: Akusticheskiy Zhurnal, 1958, Vol.IV, N:r-.1,
pp. 92-99.
ABSTRACT. Using Bernoulli's equation and carrying out calculations
of pressure to the second order bf small quantities,
the author obtains general formulae for mean values of
hydrodynamic forces and moments acting on a body on
diffraction or emission (by that body) of acoustic
waves in liquids and gases. These general formulae
are illustrated by calculation for the special case
of a solid-circular cylinder in eccentric rotation.
There are 5 figures.
ASSOCIATIO14: Odessa Technological Institute of Food and
Refrigera'tion Industry (Odesskiy tekhnologicheski
institut pishchevo3 i Kholodillnoy promyshleanostM
SUBMITTED: December 29, 1956.
Card 1/1 1. Bernoullits equation-Applications 2. Sound-Ziffraction
-Hathematioal analysis 3. Sound~Eaiasicn-Mathematical
anal"is 4. Scund-Pressu*-Hathamtical analyBin

i SOV/24-58-10-9/34
AUTHOR: Klaaskind, M. D. (Odessa)
TITLE: Heat Transfer in the Ground Under the Insulation of Refrig-
erators (Teploperedacha. v grunte pod izolyatsiyey kholodill-
nikov)
PERIODICAL: Izvestiya Akademii nauk SSSR, Otdeleniye tekhnicheskikh
nauk, 1958, Nr 105 PP 51-62 (USSR)
ABSTRACT: The problem considered is illustrated in Fig.1 and is
formulated as follows: let L be the arbitrary contour of
the outer boundary of the insulation of the base of a re-
frigerator, 6 the thickness of the insulation and L c the
contour of the inner boundary of the base of the refrigerator.
Let further 90(x, y) be the temperature in the insulation
and G(x, y) be the temperature in the ground, %,, and Xr
coefficients of thermal conductivity of the insulation and
the ground, 0 c the temperature in the refrigerator, go
the mean temDerature of the surrounding air, Cx 0 and m.
Card 1/4

SOV/24-58-10-9/34
Heat Transfer in the Ground Under the Insulation of Refrigerators
the emissivities of the surface of the ground and the floor
of the base of the refrigerator. it is required to determine
the function Q(x, y) This function is given by Laplace's
equation:
02 20 = 0
Ix2 OY2
the boundary conditions being:
kv ac (0 - 90) for y --0, lx(:>.a (1.2)
8y
LO 3GO 9 - 9 0 on L
% on
The function 0 0 (X, y) giving the distribution of tempera-
ture in the insulation is given by the analogous condition:
ago =OL(GO-0 on L (1.4)
M5;- c c c
Card 2/4

SOV/24-58-10-9/34
Heat Transfer in the Ground Under the Insulation of Refrigerators
The solution obtained corresponds to the physically admissible
continuous distribution of temperatures in the whole of the
ground. Using this solution, it is poszible to determine the
depth of penetration of low temperatures into the ground and
to estimate the thickness of the insulation corresponding to
these temperatures. In a simplified form and in the special
case where the base is absenu, the problem was solved in Refs.
1 and 2, in which it was assumed that the temperature under
the refrigerator is constant. Sucli a simplified problem
leads to a temperature distribution which involves discontin-
uities and infinite heat flow. In the present paper a general
solution of the problem is obbained. The possibility of the
Card 3/4

SOV/24-58-10-9/34
Heat Transfer in the Ground Under the Insulation of Refrigerators
presence of underground water is also taken into account.
There are 4 figures and 6 references; 5 of the references
are Soviet and 1 is French.
SUBMITTED: June 10, 1957.
Card 4/4

AUTHOR% %liskind, M.D. (Odessa) 40-22-2-15/21
TITLEs Oscillations of a Grid of Thin Profiles in an Incompressible
Stream (Kolebaniya reshetki tonki'.Ch profiley v neszhimayemom
potoke)
PERIODICkLi Prikladnaya matematika I mekhanika,1956,Vol 22,Nr 2,
pp 257-260 (USSR)
ABSTRACTt In another paper [Ref 1] the author investigated the oscil-
lations of a biplane in an incompressible liquid and now in
the present paper he refers to the calculation method de-
veloped in the other paper, The method is applied to the in-
veatigation of the disturbed afflux-and to the hydrodynamic
forces for the oscillation of thin grids. The investigated
problem is di rectly connected with the research of the flow
and of the forbes in turbomachines. An approximative solution
of the problem of the oscillating grid for which the oscillat-
ing grids are replaced by a system of discreet vortices was
given by other authors, but it is not applied in this'paper.
By a conformal mapping the field between two grids is mapped
onto a simpler domain, and for this domain the author sets
up In form of integrals the velocity potential of the flow
Card 1/2 under consideration of the boundary conditions. The complex

-Oscillations of a Grid of Thin Profiles in an 40-22-2-15/21
Incompressible Stream
velocity potential:
W(Z) - wo(z) + wj(z)
is separated into two parts, whereby the one part represents
a flow around the grid free of circulation, while the other
part corresponds to the solution of the homogeneous problem.
There are I figure, and 3 references, 2 of which are Soviet;
and 1 German.
SUBMITTEN January 9, 1956
1. Oscillations--Mathematical analysis 2. Ttx-bines--Perf
'ormance
Card 2/2

10(6)
AUTTIOR; Khaqkindj_L,,. D -(Ddesna SO11140- 22-4- 5/26
TITLE: 0acillations of a Thin Tandem 11ultiplane in a Plane In-
c(_"-!t)r('1.'J'."1ibl(, 0'olel,:nniya tonkogo poliplana tandem v
PERIODICAL. Prikladntva iiatcratika i moklianika,1958,Vol 22,11'r 4,
pp 465 - 472 (U'-'SR)
ABSTIUCT: The author investigates the small oscillations of a tandem,
multiplane with thin profiles in a plane incompressible flow.
The problem is subdivided into two simpler partial problemo.
In one of these partial problems the homogeneous problem is
to be solved, to determine the flow of a system of wings
without any circulation, while the second partial problem is
a homogeneous task which is solved by means of functional set
ups. The two partial problems are investigated with the means
of the theory of thin wings, and the whole inventigation
finally leads to the determination of certain constants by
means of linear equations.
Yore than half the volume of the paper is devoted to the in-
vestigation of oscillations of a tandem biplane. One of the
Card 1/2 two wings is considered to be fixed. The author gives appro-

Oscillations of a Thin Tandem Multipl-ane in a SOV/40-22-4-5/26
Plane Incompressible Flow
ximative expressions for the hydrodynamic forces and for the
energetic relations of this biplane system,
For the general case the calculation leade to pxtremely
complicated integral equations. Also for the simpler case of
the biplane there are carried out no evaluations of the
general formula obtained.
There are I figure, 5 references, 3 of which are Soviet, and
2 German.
SUBMITTEDt November 29, 1957
Card 2/2

KRASKIND, H.D.; KHOMENNO, V.S. (Odeafla)
Profile streamlined bv a supersonic constraint flow. PrIkl.
mat. i makhe 22 no*6:815-818 N-D '58. MR& 11:12)
(Aerodynamics. Supersonic)

A UT H G R: Khao!,:ind, M. D.
57-2 - 3 C,113~
TITLE: On Some RnguLswities in the Eloctron, Curront i-,, a Vacuu.-.I
(0 ne-kotorykh ul,-!,~Ironno-o toha , va%-uume)
PERIODICALi ""hurnal 'J.ekhnic lie ,;kGy Fiziki, TA, ~P, !,r 2, pp.,12"f-426
(US:~R)
ABSTRACT: Tho of 5imilarity and dim,--rai4on a-re IIn,-,-:! c,q,"(~Yc-~' for
detc-rilinir,E; the ~~ov,.,rnin~; lan .21cctron curren-, oC dic~lea.
The employment of these uimpiest motli~-)ds is z-oripic-zely natu-
ral in the pres3nt case and do-:s not ary additi.onal
"hec,!:-c.-ticala--cui.iT)tion2 either (which are -.,I'th the
nature of the functional ~-quations whi~-h --~xpr,:s3 thk-~:r! -:hcre~-
monn). '2he "erQral layr which 4c obL - re cha--
I -- -ly,,j(l by the
racLo:Li3tic of the ehc':r-:)n ourrent at ti-,-, diodlci,. i-,, dcte:t-
v!;.nud. T"Tip methode permi t to `-ndIr,,.0-? --nrl to pcrforia
the anal,rS4 ~j ()f the dependen~:e in the SIL'I-Mltj ()r. C-.Ir--~C?Nt,0f
the t.,iurmiunir, amizoicn. T%u employilen:~- of tho r,..QtY(-
of! sho-aE; that the di~?viation of tho ri a tic
(1 C tt -. o, c lectron -.u!,rc~.nt in vacu-.im f-,,jm Lan, '372 - -
Card 1/4 -;lu-,r,:3 V law a3

On SQrac 1:2 the Electron Current ir, . Vacuum
t, ,
5 7 2 - 3 C/
-,)rCsenuc a,; in the abgercru of inil-ial veloc' tes
ir t't I.-. ()I C ~~ trons I e a vi`nL: t he ; atho,.!Fn i j i mpo rta, r, t'211 at ine an s
.bat bc~Ade the initial folocitius of t'lp electrun3
rot taken into _-,~-ouunt in 'lic -,xistin:j th~.,)r3~ of -Lhe
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lavr also are of ore, f:,.po rj~ C~.n
hore. am ti,~~! formu...a 3 to 'Q(~ Caen
t~a'61 beAflo tli,~ deperdenco cn thC j,.T'Q3-.!!1_0 of iritial
tioa of the eb~trcnn leav`ln~~ thc the volt-aripBre cha-
ra C t ri r 1, S tl.:,, of t1le StVE?ai:! of at Vie "Cr,03 4s do-
t -.* A I L 1
72-1- he combination of two laws: tHe 0~2'and-tha
3 r,"F n "' ')yu
v w. In order to chock this foroula (9) by way of expe-
rirait a diode In a pure shapt! (withou-C. -ans investigat-
ut'A.It 1,9 chvun that the linoar law found (between z and c)
corresponds to the experi-m-,ntal Jata in the investi:,,atee. vol--
ua6v-range at the anode with a hit;h accuracy. It -*Ls shown that
in dependencu on the order of maf-nitude cf the initial enercy
of tnr, electrons differunto depen,1encoo for the d 4 ode-currunt
in the surroundin_-s of tho very ~,,Triali and not -too small V -
-vnlueu (an~~de-potontial) are vbLainod. rinally the depanaunce
Muir d 2/4 of tho satuvation current of the thoraioelectric emission Is

57-2-30/32
On _Somc Remlarities In the Electron Current in a V,-,ruu;a
analyzed. BeGinnin- with a certain V -value the suckinG off
of the entire cloud of electrons to ~iie anode takes place.
Therefore the intensity of satLTation current is depen-
dent of: a (charge of the electron), n e (.,.1aGs of the 0100-
tron) , the work function A and thu characteristic of the elec-
tron gas 9 - kT ( k dcnotin,- the Boltzmann's con3tant, T the
absolute temperature), as Vrell as of Plancl:13 constant h, an
far as the electron Cas in the case investi.-ated here appears
to be deGenerated. Thu3 i = f(e, m , A. h, 9). From these 6
dimensionless quantities three nonaiiansionle33 cmbinations
are formed: 2 'A
A A ill'
m e4 1 em 2
e
Therefore f( t , ~7). The experimental data show that the
dependence on.,~ ell- obeys the exponential law and the
followin,~ ia obtai L-)
f00L ) ,
Cori 3/4 Yhr.,re are 2' fiUuron, and 2 references, Lill of -,,,hich are Slavic.

57-2-30152
On Sc .- Regularities in the Electron Clirrent in a Vacutim
ASSOCIATION: Cd-,-6sa Te&lmoloZical Institute of Pooll, an& Refrigeration ind-ast--nies,
(Uric s~--~~..j instititt p13hchevoy i kholedillnoy
promyshlennosti)
SUB:,lITTED. Janu--ary 2a, 1957
AVAILABLE! Libr:Lry of ConCrap-j
1. Diodes-Electrou current
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59-2-7/40
AUTHOR;,Z4askind, M. D. (Odessa)
TITLE: Theory of Renistance of Ships Moving Through Wxtes (Teoriya
soprotivleniya sudov pri dvizhenii na volnenii)
PERIODICAL: Izvestiya Akademii nauk SSSR (YIN Mekhanika i mashino-
stroyeniye, 1959, Nr 2, pp 46-56 (US'9'R)
ABSTRACT: The formulae are given which describe the. motion of a ship
under various waving conditions. The general formula of cal-
culating the forces of resistance whea the volume of liquid is
given as T_ can be described by a system of coorlinates form-
ing the surfaces E + C +-S where 2 is a stationary surface
described by the ncordinates moving with the velocity equal to
that of a ship u , S - surface of the ship, C - part of
the free surface between S and X (figure on p 46), h -
depth of the water basin. The motion of the liquid can be
described by_Eq (1.1), where R --Zk - the main vector of
hydrodynamic forces affecting the surfaue S '- R -_ horizon-
tal component of that vector, Z - lifting force, k - unit
irector along the axis z , rT - ivoight of the volume T of
the liquid, P - main vector of hydro(1yramic. forces of press-
ure acting from the outside of the liquid, Q - vector of
quantity of motion, defined by E'~ (1_2). Vic, motion of par-
Card 1/5 ticles of liquid is given as Eq 1.3) and the equation of

":' ;0V/179--19-2-7/40
Theory of Resistance of Ships Moving Throuj,7h vavf,~,,
weight of the volume r. as Eq (1.4), whc-ve T 0 - volume of
liquid described bv the Guxface,3 S .:, C0 + Y, , dT - volume
of liquid above 0 0 and g - gravity. Applying tae Lagrange
integral, the Eq (1.5) can be obtained and thc- value of P +- G
is derived from Eq (1.6), where D - water displacement of
the ship, L - f'l obtained from the cross-section of the
_.pro 1.e
surface Y-, I (, - rise of free surface above the plane
z - 0 From Eqs (1.1), (1.3.) and (1.6) the formula (1.7)
can be derived which determines the value of the main vector
of hydrodynamic forces affecting the ship. If the surface 9
is represented as 9) then the formula (1.8) is obtained from
Eq (l.?). The expression (1.8) represents the exact formula
which can be used when the velocity potential is known. This
equat.ion can be given in a linear form, Eq (I *9), frcm which
the resistanoe of the ship T- can be found as Eq (1.10), 0
where 1, o - velocity potential of thE-. diffracting waves, (p
velocity potential on the surface 8, and F - harmonic
Card 2/5

;` SOV/199-59-,~-r//40
Theory of Resistance of Silips Moviii.- Through Wave-
function. For the incoming waves Eqs (1.11.)7 (1,12) and (1-13)
are obtained from the formula (1.9). TI)e faiictions F and
10 become harmonic functions Eq (1.14) in the region 't 1
described by the surface F', which representL; the surface of
vertical cylinder. The horizontal forces of i:csistance can
be found from Eqs (1-15) and (1.16). In the Gase of unsettled
motion the resistance of the ship can be ,)btained from the gen-
eral formula (1.1?), and the mean value of resi,3tance in
stead.7 motion can be derhied from Eqs (1.9'., (1.i5), and (1.16).
The potential velocity I (XI Y9 ZI In th-;Is case can be
given as Eq (2.1), where ~o - the rise of the disturbed sur-
face of the liquid. The mean forces affecting the ship in a
disturbed sea of definite depth can be obtained from Eq (2.8).
The analysis of the separate components of the foroe R can
be made when the function T is written as Eq (2.9) where V
and il - vectors of progressive and angle velocities, and the
harmonic functions Yr
) and
11 ((P1 I T2 1 ~PP (P5
y, are defined by the conditions (2.10),
/, (2.11), (2.12). Thus
the expression (2.20) can be derived from Eqs (2.21)t (2.22)
Card 3/5 and (2.23). in the case of longer ships, .,Le Eqs (2.24) and

"0V/ 17')--'-' 0
i'~ 'J.) -
Theory of Resistanc:e of Ships Moving Through Waves
(2.25) can be applied. The verification of the results ob-
tained can be carried out when a maximum resistance is cal-
culated from Eq (2.28). Also he fcrmula (0.06) can be
used if it is considered as a parallel to the phase veiocity
of -the waves. Then Eq (2.29) can be applied. In the case of
progressive motion of the shipq t1lo formillre, ( 1.15) and (1.16)
take the forms (2.34) and (2.36). For tivi infinite depth of
liquid the harmonic function F(x, Y, z) is defined as
Eq (2-36), from which Eqs (2.3?) and (2.38) a-re obtained. As
an example, a case is described where u - 0 (%, - W ,
X2 - -d ) and Eqs (2.40) to (2.42) become Eq (2.8) (h - CO).
Then, the resistance of the ship on quiet water (r(~ - 0
2
Cr = 0 1 X1 = VI see 0 , X2 = 0 , I' - g/u-~) can be defined by
Eq (2.43). The approximate formula in thiz case can .be given
Eqs(2.44)~, (2.45), where the function 1~ (X. 0) is
Card 4/5

SOV/179-59-2--?/40
Theory of Resistance of Ships Moving Through Waves
defined by Eq (2-32) for hrj~- cia , i.e. Eq (2.46), There
is 1 figure and there are 10 references, ofL which ? are
Soviet and 3 are English.
SUBMITTED: April 179 1957.
Card 5/5

30)
AUTHOR: Khaskindv M. D. 30Y/20-125-4-25/74
TITLE: The Freezing of Ground Under an Insulated Surface (Promerzaniye
grunts, pod izolirovannoy poverkhnoutlyu)
PERIODICAL: Doklady Akademii nauk SSSR, 1959, Vol 125P Nr 4, PP 762-785
(USSR)
ABSTRACT: In the present paper the generalized problem of the freezing
of ground in the case of the existence of an insulating layer
on its surface is investigated. Such a problem corresponds
to the freezing of the ground beneath the insulation of a
sufficiently broad cold storage house. The inaulating layer
is taken into account on the basis of the here introduced
non-eteady heat transfer coefficient. In the case of lacking
insulation, and in the case of unlimited heat emission by a
free ourfacep the problem investigated in the present paper
is reduced to the usual formulation of Stefan's problem.
The general solution is found by means of complete systems
of orthogonal functionep in a similar way as in the case of
the usual formulation of Stefanisproblem. For the purpose of
evaluating frost-depth in the upward direction, steadiness
Card 114 is assumed. According to the evaluaticn. foundq

The Freezing of Ground Under an Insulated Surface SOV/20-125-4-25/74
the insulating layer delays freezing of the ground consider-
ably. The functions 0 a(y,t)(a - 0,1,2) determine the die-
tribution of temperaturesin the insulating layer of the thick-
ness a in frozen and in thawed ground. By considering these
three media to be homogeneousp the following heat conductivity
epations are obtained:
? 1 (4 - es -; e*; a - 0,1,2). Here e4 denotes the
~_2 0 -a '2 t a
y 8
temperature of ice formation in the ground; ao - au, a, and a.
are the temperature conductivity coefficients of the insula-
tion of the frozen and of the thawed ground. Also the ranges
of definition of these quantities are given. Nextp the boundary
conditions for the function 40 are given* For the purpose of
eliminating the function 40(y,t) the symmetric solution of
the heat conduotivity equation for this function is used:
I - V~ 0 ~ (X) 2 2
(y,t) C + C - -.9- ft
0 1 2 Z( Wj / e
Card 2/4 0

The Freezing of Ground Under an Insulated Surface SOV120-125-4-25174
Here C1 and C 2 denote the integration constants. The calcula-
tion is followed step by step. By means of a transformation,
the author %enpowes on to the functions u, and u2, and repre-
sents the general solutions for these two functions in fo:rm
of expansions in series according to complete systems of ortho-
gonal functions. The equations resulting after some further
stepsmay be solved by approximation by means of the reduction
method, in which case the numerical methods for the integra-
tion of ordinary differential equations are used. Determination
of such an approximated solution is quite the same as in the
case of an ordinary Stefan problem. A formula for the frost
depth is derived. In the case of an existing insulation the
frost depth develops quite differently than if there is no in-
ouliLtion. There are I figure and 10 Soviet references.
ASSOCIATION: Odoeskiy tekhnologicheskiy inatitut pishchevoy i kholodillnoy
promyshlennosti (Odessa Technological Institute for the Food-
and Refrigeration Industry)
Card 3/4

RHASKIND, M. D.,, and XHObZZ&Oj V. S. (Odeasa)
"The Motion of Meteorites in the lonoaphere."
report presented at the First All-Union Congress on Theoretical and Applied
Meohanics, Moscow, 27 Jan - 3 Feb 1960.

9.1000 77769
SOV/109-5-2-2/26
AUTHOR: ~apklnd., N.. D.
TITIE: Excitation of Surface Electromagnetic Waves on Flat
Dielectric Coatings
PERIODICALt Radiotekhnika i elektronika, 1960, Vol 5, Nr 2,
pp 188-197 (uSSR)
ABSTRACT: A conductive surface covered with a dielectric
coating is investigated, and also the electromagnetic
field above this 3urface excited by given sources.
For solution of the problem, simplified boundary
conditions are assumed on the surface of the
dielectric coating, and a method Is developed for
determination of the complete wave field permitting
the separation of the surface waves Ln a simple
f orm. A general method io applIed to the analysis
of~exciting surface waves by electric or magnetic
Card 1/21 dipoles, or their distributions. Th .e results may

Excitation of Surface Electromagnetic 77769
Waves on Flat Dielectric Coatings SOV/109-5-2-2/26
be used for improvement of computations for antennas
of surface waves. (1) Formulation of Problem. A
conductive surface Is covered by a dielectric coating
of thickness d., having dielectric constant and
magnetic permeability E and~L, respec.tively. In
certain part limited by the surface S are located
sources of an electromagnetic field (Fig. 1), whose
time-variation Inten,-3itles are expreosed In terma
Card 2/21 Fig. 1.

Excitation of Surfaoe Electromagnetic 77769
Waves on Flat Dielectric Coatings SOV/109-:5-2-2/26
of the exponential, exp (iWt), which will be hereafter
omitted. The field strengths above the coating in
vacuum are designated by E and H, but in the dielectric
layer, by El and H1. Then on the surface of the
dielectric coating we have the usual conditions:
E', E, = s'E'11 0
CO
if,, ilrp HIs
On the conducting ourface the boundary conditions of
Leontovich are:
.,!= - pi If', A' ~ pA z=-d ( = ( ') '),
E V V for Pk
where 6 k and 4,,, are complex permeablilt-Les of the
conducting medium. The practical rational system of
Card 3/21 units ia usQd. In accordance with this E: 0 and tic)

Excitation of Surface Electromagnetic
Waves on Flat Dielectric Coatingo
77769
SOIr/109-5-2-2/26
exist in vacuum, but El, tV j F_1 ti tq are relative
C Ic
values. In connection with the small thickness of the
dielectric layer conditions, (1) and (2) can be sim-
plified, elimInating the field in the dielectric.-,M
It Is assumed that knd