SCIENTIFIC ABSTRACT SEDOV, L.I. - SODOV, L.I.

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CIA-RDP86-00513R001447620011-5
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December 31, 1967
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SCIENTIFIC ABSTRACT
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SEDOV, L. 1. rity. 0* - 0 '431W111(hirstv. Izdat, Tenq.~--Tedv, 1.1T., J!F t 195 1 - 1193 pp. 10.20 rubles. 'rhi5 is the second etlition-of a book 04611shed ln~*1944,'Wt- iew$.'~ In 1, 1101 previously roMcwtid in Wth. Rev font ed pn*-' marily an an expository i siir~y, the book Is iiotablc'f~r tlj~. wealth of examples analyied-Many of thO-di5ctms1on3';iM' bised on previously published, resmirb. of the author. Its tscope is conip, III IV of the" with that of Chapi. M .vr'n "Hydrodynimics: A study in logic, fact and simlli,:'. t '0 - [Pritirctno, 1950; the5c R(.-v. i2, 365] tixcept'tbat' 4 .1 tts-'11011sion of 611c 'more tlje,~ i, cific experimental data resembles :exlxv--ilion of If. L. lAnghaar, "Dimensional atlal i '; 'rici ys a I flicori of models" [WIle . New York, 1951,1 y these Rev-. 12, S81111. Also,, the relation of dimensional analysis' to -g, ro'u p ~11!vnrj~ Iis it,ot treale(j. iff4- T-W a0tei: pp. is aconventjbnardi~cussion of dirnen sinnal ~nilysis, leading up to the'll-theorem. Chapter If (67 pip.) deals with the influence'of Reynolds number.o" resis(ance (Stanton-part"ell) and on drag, with I the~~ pipe. lence of Reynolds and Mach number on comix infli flow, with the Strouhal number, with the, influe"ce of the Froude number bit planing and impact of seaplane hu with Wigner's discussion of. Imodel". SON. similitude Cautc lions) for'cone, and wedge Imort, and with similitude for I i'gravity waves. Chapter 111 (50 pp.) deals with v1scoity Ad ir -esi othw 'I 11111c1*6- First he treats the diffusion of vortk exact soltitivas of the Navier-Stokes equations (which seem, I related to those of Hamel try 1), Blasius' solution of the bou"da eneous turbulence is analyned, f layer equations. Then homV , ~.Inllowhig the work of AfillionRikov [Izve3tiya Akad. Nawk.' I f 33-446 - these Rev. 4,12 &55R. Sergeogra Geofiz. 1941,4 0 and Kohnogoroff ; this is followed by, a brief discussion of's hirlitilcitt Pow in pipes, irsifi'j~"mixing length". cWKqft Chapter IV (45 pp.), which was apparently'added in.the Second eclitipli, delk with the unsteady motion'of gnu&, Emphasis is placed an the r0f-similar ('.'automodel") tions of the~aulhor [C1 R. (Doldady) -Acad.~Sei.URSS -77 (R.S.) 47. Ow5d I~ev. 7, 140, *Akatl.'~~ Nauk 10. ~jj-'256 (1946)1 The:,~j,tst ...... ..... . .. d 11411-limp'!. a -ItVatiOn an prolik WS and attmiir expl#-Aor~s Itre iscusad 'l'itylor r P Soc.~ Lond"--~. A. 2011,~: UBJJ~ PHYSICS CARD 1 2 PA 1932 S -CT USSR 1UTMJR, SEDOV, L. 1. TI TL.S _0-n-t*VG-aJ-T0ti one on the Occasion of Star,Explosions. PERIODICAL Dokl.Akad.flauk 111, fasc-4,, 760-782 (195.6) Issued:. 11 1957 The problems connected with phenomena to be observed.in variable stars must1be, investigated and solved in consideration of the-mechanic effects of gas dynamics. Observations haveabove all shown that on the occasion of the flashing up.of ...novaeland supernovae.radial gas motions with velocities. of tile orders .1000,to., 6ooD km/sec occur. The following problem first arises on this occasion: What is it we observe ? Is it thefront edge.of the expanding star surface,or the front, of a shock which expands in the clomparatively:eold fog.which.purround5the star ? The most probable hypothesis is that of the expansion of the s4ar After the :fashion of-a sphere of gas in a vacuum',(or in a.very thin atmos~here)..ffhen.in- vestigating the explosions preceding the star explosions and causing the explo- sions, those detonation phenomena,must be investigated which are connected with, the existence of"jum s''.( = compression shocks ?). The latter expand within the p~ gas masses of the stars and transport a considerable amount of energy,on',to the star surface. The. author investigated,the,Adiab.atic automodellike, explosionlike and,spheri*- r 5/3 a Cavity' .cally symmetric.motion. According to the solutions f6und:fo forms in'the center of the, St ar within which pressure is different from zero expanding spherical piston")* For 1, 4; 2 and 2 5 (where'- Dqkl.LAkad,Nauk,lll,fasc-4,780-782 (1956) CARD 2 2 1932 QO A/r, denotes the initial density while A and a) are constants) constant conditions r */r and p were found., Here r 7"' denotes the radius.of the .2 /P2 piston, r 2 - the radius, of the shock wave,.p *.- the pressur.e.oA the piston, 2 the pressure on the shock,wave.,At W. 1,4 and 2 the work transferred -from the,piston to the gas was of the same order as the initial energy of the. gas behind the:shock wave. This caused doubts as to the physical reality of such models. In the case. of 4/3 and at (J 2, 5 the author obtained solutions with ,.,finite-initial energy and finite energy of the disturbed motion. On this oc,ca- sion cavities form in the center,of the star in the case of strong shock waves with the pressure zero, but in the case of weak ~shock waves no cavities are ;formed. The spherically.symmetric gas motion is also investigated without ,:,taking the forces of gravitation into account at the variable initial density :'of 0 = A/r This investigation shows possible ways and means,of pro- ,ducing hiCh pressures and temperatures. (According to the reviewerls:opinion ~'.,these- and similar works are connected with the intended excitation,of thermo- .nuclear reactions). INSTITUTION: AUTHOR: SEDOVoL.I. PA 2.090 ITLE: -I- estruction,of Equilibrium -On he ]Dynamic D ..(Russtan' 'PtRIODICLL: Doklady4kademii Nauk SSSR 1957 Vol 1.12~ Nr 2, pp 211-212 (UOS.S.R.), Reviewed. Received: 3 1957 3 1957. ABSTRACT: The present work.investigates themotion of a perfect. gas which-:;~,", .equilibrium and.has.not become, steady, in con,- corresponds to , sideration of.the~interior*forcea of gravity* This,paper f -a r.- nishes an exact solution'of the nonlinear equations of motibn_~.-.11. ' and of the conditions of equilibrium. Here the distribution of: density and of pressure represents the initial state for,the -steady explosion-like motion of gas (in a g s which is non a a at rest,and in equilibrium):which is created.and develops in, the:resting gas without giving up.,energy. The phenomenon. ' - 4-ae tar ztwsd_i3s~ss CS S SILtwe" %Mah Mg.X )3e: usea 01, a0ze --YY&015 In OUTD,, 'nV DR-DM~V~VDD of the oued-imens aLnal unsteady motlon of gas with sphexical symmetry are written down as follows: 2 am/a,r 4nr 9; 89/ot + aqv/ar + 2QV/r 0; av/at+v(av/ar)+(l/Q)ap/ar+fM/r 2-0; 8(p/qf)/at+Va(p/j)/4r_'O. Card 113 The Development of Cosmic Research inthe USSR,S/03 '60100010-1110021026 B021~BO59, distance of, 6200 km and radio-transmitted~the photographs~:to, the..Earth. Various formations on the far side of,the~moon were discovered and.named by aspecial commission Of the Akademiya nauk SSSR (Academy of. Sciences:~ USSR) On May.15,and Au gunt 19, 1960 hea ,vy satellites weighing~4_5 tons each and with hermetic~cabins3for the'flight of:a man were launched. : Intbat case the difficult problem~of return to:the Earth was practically, solved; two, 'dogs and other animals and plants wer6~safely carried~back to, the. Earth. 'By means of artificial terrestrial:,satellites and space rockets,~important~. t data on the physical consistency of he'upper atmospheric strata,',.their density, temperature, composition, electric and magnetic properties can be obtained. Radiation belts. of, the Earth were,:discovered and investigated,' and, the absence of a lunar magnetic field was detected. Danger of a col-. lision,with large meteors does practically not exist. ~ Danger, of,,-various :radiations for organisms in space has.be.en investigated. Wireless'connec- ~i tion'over several millions of kilometers offers considerable difficulties. I The development'of spaqe~flight.is,important in the struggle for peace since it excludes the.possibility of a~war..There4s.a trend to advance the.internatibnallrelations.'among scientists.ofall..countries. ,Tsiolkovskiy, a*p oneer of rocket~.en- -Moreover, it is stated: that. 1K. 'E.. i ~gineering,' was not recognized. in,his.. lif etime.~ 'by the'of f icial, staff of.: Card 2/3 Introduction tr)~thp Mechanics of a Continuum SOV/6099 linite deformation with' respect to, form and quality containi; certain innova-: Transactions of the All-Union Congress (Cont.) SOV/6201 do Golitsyn, G. S., A. G. Kulikovskiy, and K. P. Stanyukovich. Magnetohydrodynamics 94 ~C_G-,evich, M. 1. "Theory of an Ideal-Fluid Jet - - --- 114 --------- Ivanilov, Yu. P., N. N. Moiseyev, andA. M. Ter Krikorov. Asymptotic Methods for Problems of Motion of a Fluid With Free Boundaries 135 Loytoyanakiy, L. G. Semiem Irical Theories of the Interaction P _ of the Processes of Molecular and Molar Exchange in the Turbulent Motion of a Fluid' 146. Petrov, G. I. Boundary Layer and-Heat Exchange at High Speeds, 167 On the Theory of Constructing Mechanical Models, of, Continuous Media Card 4/ 6 9 , - - .-- - -- - - - - -- ---- - -- - - - -- - - - -- L 107 63 7! ACCESSION NR;'AP300323 independenttensors. Wis shown that for'the construction of tensor functions ' - I se the coMple Ite.. syIstem. offun Inde- 'it is necessary and su fficient to u dionally pendent compatible invariants for4ned of the~vector components definin the ' ~symm r the a o lution of these etry groups %A of.other tensor ar&ments.- Fo problems the authors present the general' concepts .,of tionsors, tensor~,bases,, and tensor functions. The tensor 4s represented by the formula-. P Er where- are sca -4 k' lars and H ,'are: tensors of rank, r.: The method 1j- 54 structink general forinulasof forzr Ii.(1) for te'ns6r functions are der ve on th d e basis" of constructing the tensor base. in terms of tensor arguments, by means of multi-, ' ~' rations. T e pecularitlea of symzne plication and convolution ope h My-groups.0f. constructed tens or functions are:analyzed. With the formulas.d.eilved, tensors. defining the geometric symmetry.of textures and crystals are studied.: Simp]e~ systems of tensors defining the, properties of 7 types of textures and, 3 2 classes 0, of crystals as well as the formulas for their determination are presented in tables. Tensors defining the symmetry. group of the cubic, tetragonal, Card 2/3 7~ 4 --I- I I . . I ~ I I .- I - ! - , , " * , : , . : ~ , ~. ~~ . :b l, i MWAW(O Q35 85 6017, ACCiSSION' NR: AP5006251_ Y'' ' 1 v ow S l d AM . o . osc e i: j TITLE; Condeir"ning. the. pondei~iotive'fbrc6s_ o#.: int6raction between'~ an eiectromag-,! ' ' ' , ki ons de an : coritin e uum Inetic. field -and an. accel rated moving material. ing iT kto. c, ' J :3 "the finitestrain ~2 1 1965 4m~17 ra matematika'.1~6tkhini~a~,,v 9 ,no,i SOURCE Prikladnal A ;TOPIC:TAGS: ..tensoi calculus -.relatiVityj trdi6a'' i `~~electro niamcsj~ gnpt sm, h cs, aeradynamics,,sp ce-researcfi~i,.p. a p.ys :Cs " teriidiing~~w .an electro- T e-motion of a ous mediuin that is'in ABSTRACT: h continu The -cone ust ~--f' orth n th fieid'is 'dise ons,.sk is; ap c14 do not ma usse 6etic . - . of:the ~'medium. a prop Wity't I i takes.. i1 the ~ gel~lera specify, in e6ncrete deta* I nature i 1: , j into considerations. however,, the~'possible~lnteractl6n: beiween a MoVing and strained? me n and:the'~_e n'.tfie' ease is di lectr%omaga-etic. fioild~"naviely,-i where th6~-4nteraetion ' ' the, appear- iric cur en in e m ui~ and a t caused by the presence:- of.. elec i, ih edi , !The: author's I ance of electric''Polarization and-,the magnetizatibfi. of the; medi " f.formula for the ponaer6otive'foree6'lditfers fn:essenicie from- siitil'Ar formul a s given Y-various authors, which are derived only ~~for speo_iai.~ pariicU cas --the b ar es ;P~q J/ 777 7", ACC NRt AP6002415, ,plane explosion. ..In these cases, the"flow will be one dimensional.and -will depend only-:on the time, t,.and on one spatial coordinate' r__ from the axis or the plane of B.Vmmetry. Ae~a result.of the explosion, 1 a magneto h y d rodynamic shook wave starts ~ to propagate -through the,gas., For the motion ofthe gas behind,the.front of. the shook wave,..the following magnetohydrodynamic equations are aseumed:: I ap I aw a 0 + (Ott) 0, W 7F M + P1 7W Ory ap a -am 0, (;tip"") 0. 4- - OH),- 0, V. Ot as ac PU -0 + (PV' + 01 V Tt P where r U fpvl+ is e ~v the velocity;p is the,density; P+kT, and, pAs th pressure. Results of the following:,aid1hematical development are 'ex- hibited graphically. "The-author expresses his sinc.-ere, thanks - to Bishimov for his aid in programming and to.-I Are, P ~G. ff~ut . and,, R. ne 'and-ro-r _Z&T-onova for programming the~problem,on the BESK-2 machi carrying qul~_~he calculation.'. Orig. art. has: 10 formulas and 2 figures. SUB 0()jjE: 2'(0/ SUBM DATE!',:Mpr65/~ORIG REF:009/ SOV REP:000/ OTH REP; 001 A Card /2 bvk ACC NR9 Am60344oq :TABLE OF CONTENTS [abridged]: ~From the:prefade to,the first:,ed1tion,---:,.6 .,Preface..to the 'second edi Ition 7, Introduction 9 n with const ~Ch. I. 'Motion of: a., wing sectio ant circulation , Ch. II. Thin wing theory --.47 Ch. III. Lattice theory 121 ,Ch. IV. Impact,on an incompres sible d flul 181 , 'Ch. V. Theory of jqts.-- 201 ~Ch'. VI. Flows In double-connected regions (problems~of biplanes)__-7~132 Ch. VII. Hydrofoils 256 'Ch..VIII. General theory, of.steady.motions ofa gas 3021, Ch., IX. Potential. steady motions of.ta gas 372 Ch X. Gas jets - 423 % Subject Indek' 445 . SUP CODEi 201 SUBM. DATE; -':23Kciy66/.'. ORIG REF;, o6l/,.:~. OTH REF: 032 1 Card P/P L 45141-66- -E'dT(d)/EWT(m)/EWP(w)/EWP(v)/ViT(k) M~-(-0- -ffV4