SCIENTIFIC ABSTRACT NIKOLSKIY, A. A. - NIKOLSKIY, A. P.

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CIA-RDP86-00513R001137210010-5
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December 31, 1967
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SCIENTIFIC ABSTRACT
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N-MI-ZlY A, A, "InvastiMtion Of ~~;joratcd Vortex Flovs" A Iaper presented ot the O,tb Internatioml Con,6ress of Applied W-cl-onlAcs, Brimsels, 5-13, ScP 56 W/124-59-10-114& Translation from% ReforativM thurnal, Mekhanike, 1959, No. 10, p. 61 (V$SR) AUTHOR9 NIkol'skly, A. A. TIZZ: Soso Exact Solutions of Thr**-Disonsional Gas Flow, Equations PERIODICALt Sb. teor. rabot po "rodInamike. Moscow, Oborongic, 1957, PP. 27-33 The author search*& for the ol"s of thrto-dinjonglonal adlabatlc gas nows, which are represented by the curve line I In the hodograph space. The known Prandtl-Ptayer flows are obtained an a special case for the plane I-eurve. He notes that the conxlder#d flows xay be used for solving the problem of flow around unfoldUK wtngs with leading knife *Ues, specifically, conic edges,ln a supersonic flow. R. 0. Barantsev Card 1/1 Translatinn fromt Referativnyy thurnal, MokhAnika, 1959, No. 10, Q (USSR) AUTRORt A. k. MAW t On the Adiabatic Gas Floj Class Represented In the Velocity Hodograph Space by, Surface& EMUODICALt Sb. toor. rabot po aerodInAmike. Moscow, Obcrovgix,. 195T, pp. 39-42 TMt The author studie3 the class of throo-diaensional steady adiabatic gas flows, which are reprosent6d in the space of the velocity hodograph by, the I-surfact desorlbed by the equation w a 0 (u, V), where u, v,. y are the coordinates of the hodograph space. x, y, z are the coordinates of the flow space, and 7 is the velocity potontial. The distr1trition funct Ion Is Introduced in the shapet X(u, v) - u x + v )r + w x The equaticns of laminarity and continuity lead to equations or second order- for the functions w (u, v) and (u, Y), It z - const-ant, first of' which Is quasillnear, but the coefficients- of the second function are equal to the coorficients of' the, first funation. Therefore, tht E-surfac* can. not bo6-arbitrary. A straight lina, Card 1/2 SOV/124-59-10-L14W Translation frost Roferativnyy shurnal, Nekhanika, 1959:, No. 10, pp. 60-61 (Usn) AMOR; Nikol_lsk!&, A. A. - ft- TITUt On Bodies of Revolution Having an Internal Passage and External Minim= Wave Impedance in Supersonic Flow I PERIODICALt Sb. toor. rabot po aerodinamike. Koscow, Oboronglt, 1957, pp. 56-63 VEXT, Within tho frumork of the linear. theory', a, method Is. worked out for determining the shape of a body off revolution having art Internal. passage and, mLnlwAm wave impedance. The incident flow, the length, and thj~ radii at the endz- of the tody of revolution are assumedto be giver, The wave impedance magnitude of the body of revolution in not expressed by the pressure onto the body, which should, necessitate w approximate solution, but by, & function on the reference contour, which contains the characteristic., and closed by the required generatrix. Suppressed passage of gas through the streazlined.body Is expr*ssod. also by- functions on tl;-% reference contour. The arising varlatlon problem with. Iso- porimetric condition is solved in explicit fom. A simple formula forthe wave Card V/2 AUTHORs ;ikol'ALLZ,_A.A. (Moscow) 40-21-2-6/22 TITLEs On the Uplift and Induced Resistance of the Syet,~--i 7,ing- Fuselage (0 nesushchikh evoyetvakh I lriduktivnom soprotiv- lonit sistemy Irylo-fyuzelyazh) PE1110DICALs Prikladneya Matematika I Uekhanika, 1957, 17ol 21, Fr 2 P1. 139-194 LBSTRAM Since for a con-ion flow of the wing and fua3lage under a cer- tain angle of incidence the determination of the pressure distribution on the surface of fuselage is difficult, the anthor proposes a nethod which under certain asrunptiono al- love to calculate the lift and the induced resistance from the distritution of circulation along the wing spread (and without the knowledge of the pressure distribution on the fu- selage). It is assumed that the wing is a plane plate of ar- bitrary form and that the fuselave is a body of r-volution which can be replaced approximately by an Infinitely long cy- linder. Further it is aasumed that the flow appears in an in- compressible fluid for a small angle of flow and tinder a ne- gligible friction. Lot the flow of the fugelage take place without separation of flow. For the solution of the problem Card 1/2 On the Uplift and Inducnd Resistance of the 3yetac lintr,- 40-21-2-4122 Fus,slage the author makes the follo-rinG fundanzental assertions for small aG also the intensity of the free whirl layer I- which leaves the wing backwards is small and tends to ziro rithOt. Therefore the elementary v7hirls of t for 4-#0 dist.-ibute along the flow linoo of the axial-eymmetric flow -rhich appi!ars at 41.,- 0. This fact permits to d*t*rmine the 4istribution of the circulation of the whirl layer behinrl the body and the for- ces acting on the whole system from the f;iven dint-ibtition of circulation along the ning spread. There is I Soviet reference. SUBMITTEN December 20,1956 AVAILABLEs Library of Congress 1. Tvaelages-Uft 2, distribatim Wide of revolutim-Tban7 Card 2/2 AUM* KNS19=0 Ael~ 20-2-6/50 TMX1 The lassoonda fam of noWn of an Ulool fluld post a solid (an investigatlon of d Is c on t Inuous vort1w] flow (0 Pvtoror forme dvichaniya ideallnoy zhidkosti okolo obtqkqvwgo WA (1n1*dovazdyootryvnykh vikhrevykh potakor)). PERIODICALl Doklady Ak&do*UNa%k=,19579vol-116$Nr 29 PP-193-196(UsrR) LBSTRACTs The author gives a somewhat more detailed reprecentation of the lecture which was given in Brussels on September 12, 1956 on the occasion of the IX-th International Congress on ApplI94 Mechanics. ASSOCIATIONs Mechanical Institute, Acad.Sci. USSR (Inatitut dekha~iki It N -33SR) ZPLIBMITTEDi Novev.*:,er 9, 1956 AVAILABLEt Library ruf Congress CARD 1/1 Inmimm, A*, A. (HOSCOV) 110A a" Flow In NZYMOUIC NOW"." "On the Notion of Perfect FluJAs, and Gases for Which the Mommt of Momentum about an Axis to ConstaiLt with Tim." rnportepresented st the Fimt ALI-Union Corgreas on Theoretical and Applied Mechanics, Moscow, 27 Jan - 3 Feb 1960. 71~1=--.011MA-1 rk, A. 030ralpmatca of HoUttme Fluids." 7-Ij- "PO'ro*v PrOOOMWA &t tbamlatormtIonal Congrede of the Intornattocal Couwll of AwromutIcal Sciamos, Zurlab, .9vitzerlAuA, IL-16 Sep 60 10 P!O~;cl T I n 1 T7 t Tll,- tjo(l ~'Ij jo ;n!2 if, I_X-lotll u /Iirt o-p r, r I-: i:) 09 .T D-017 V XC- -VI, Cl. -17 U !'IL' T (T T_j u 0.1 d, 4.1 c,-; 0'~Jn 'I or, "17 T JTi0t[ T n- 60111c pr .1 oblems of ihe hydr~,%dynamics .... ---- ---- -- b1z:i-hed, -thav in -the ,r, Otj zzu-d th~. ratio of the ch.tr;_otf~ ri "-ni, ~,,f zh- L)i e i~A!;On pur ~-t,l vc, r A:-1-14~.A A*~-D!11(--(. -,Lic. s r. rn Z,-11 (s ho t --- rn-, 1-1pw of tile d"'11-1r.llic 0 ;*1 of a -tvith tile F, ann e j 1,,~ Sj 0, f t;,w LAV :~f t)7,C,- ti;e L'aturp ~4 1"'Lc Lo Cho volucit), C, Ir n 04; Z Z C, td f i~; th,~ case st ca-1 G-f r 4- U~ LL re t7lt, lov" c.: rotating Vuid~- T.-c. *"-.c pa--r rnac-.- 1, 1 c ~~v t~-.c alathor .,~t tho 1', e ::-n ,I-.!ih.--1a-ngua;-c) Card 2/2 S/124/62/000/004/004/030 D251/D301 A UTiiOR t Fikol'skij, A. A. 'AITLE., i:aglietoliydrodynamic motion with I frozen ' cirvulfir rat;- 1~etic lince PERIODICkL: Referativnyy, zhurnal, M'ekhanika, no. 4, 1~62,. 1-2, n,ti- stract 4B6 ~Inzhenernyy- zh., IIJ619 v. 1, no:. 1, 1.641- 175) T EXT The axi-symmetric motion iv conjidered. of an, id,cal incom, precuible liquid of infinite cunduutivity. The axial and compon,ents of streas of the nagnetic field H are ausuried. equal to Zero. It then follown from the equations of magnetic hydrodyn.-.nicu tl~alu if at some initial inotant 11 = 'kr where ~, = conat -i-.d r is t',ic d1utance from the axic of symmetry, then 11 = Ar Is preccrvel evcryvi~el-o for all titc time of motion, and then the nyotom of Pqua- tions of magnotic hydrodynamico coinciduc with the syeten of equa- tiono for the motion of an ideal liquid in ordinary h.-i-drodytirimicu Gard 1/ 2 NIFOLt!ZIT, A.A. (Moskva) Hnwrtalic problems for r.&Lmetohydr,-4ynaxic notions of an Ideal incompressible fluid with wfrr-n' circular naenetic lines. Inth, shur. I no.2t4l-" 961. (KIRA 14:12) 1. Institut mekhaniki M SSSRe (Kagnetohydrodynaitics) 9IIOLIaIYt %.At (Koekva) "r&i'lieproblow for the Clow of an ideal incompressible fluid tviated according to an arbitrary law. lnzh.z~ur. I no.2:149-1-52 ,61. (KM 14:12) (nuld dynaiales) i NIKDLJSKrT, A.A. (Koskv4) Twee "tion of a hypemonic flow on eldmder bodies undw pg radiation conditionx bt tho vicinity of tb* blufte", Insh-,shur, 1 uo.34045 161. (KML ISC2) 1, r"titut Mkbamw m am, (Avrodyawdess Etr~oule) 5/020/61/137/003/006/OW B1041214 AUTHOR: Nikol TITLEt The syametric motion of an ideal liquid from a state in which it rotatas like a solid body PERIODICLLs Doklady- Akadsmii nauk SSSRO r. 137'o no. 5-t 1961, 537-540 TEXTI The author starts from. consideration of the systew of squatione t 0 2*v* p + 2ov, 0; 1- + 0. W , desortbing the symmetric notion of an ideal incompressible liquid of' denaYtjr q in cylindrical coordinates. Thi a; state of notion differs: only littL* fron the rotation rith an angular velocity of a solid body, about Card 1/6 Th*~eyunetria notion ... 31020~~,64 /I )T/0031006/0 301 B1041 214 the x-aria. Theatrean function 6a, tL*fyinC the Eq. t ##N is introduced Lm the, usual siamer, This equation possesses soliLtions of ths fan (dr3A*IkAT(X,11)j- 3L - r X, r - r It (0- 0 Here, IL (X,R) is, & real function, k & real or imaginary constant, and ro & characteristic constant having the: dimension of' length., Proa this, the author derive& the following system of equations which describes an axially sysattrib potential motion of an incompressibleliquid with the velocity potential Ib(Xj,R) and the str*&K function T(XjrR)*- Card 2/ WOW 2Z56 -symmstria motion 51020161lt3,7100310061030. The X, (Ax. A (12) rrp I day+ a Or (13). G M 0; t Of n 67' 7F -r ax (14). 0. jXt WEIR WR-) L By, satisfying the identitie,& 0 and 0 at t -we one, ottaine as, )2, r oolutiom of the ty 2~1 7 21 ir )(X R) *2k4-1t 6). ,pe (4): P' - Q ~" a t Hexe, for imaginary k ik (k > 0) two principal cases are possible. The following equations hold: For k > I it, x for X, C&rd 5/6 The symstrio notion 5/020/6,1/15T(~05/!06/030 for 0