SCIENTIFIC ABSTRACT YUSHKO, P. P. - YUSHKO, P. P.

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CIA-RDP86-00513R001963230011-5
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December 31, 1967
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SCIENTIFIC ABSTRACT
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8(4) SOV/IIZ-59-5-8510 Translation. from: Referativnyy zhurnal. Elektrotekhnika, 19 59, Nr 5, p 15 (USSR) AUTHOR: Yushko TITLE: A Difference Scheme of Numerical Integration of the Heat - Conductaxic e Equation PERIODICAL: Dokl. Ali BeISSR, 1957,'Vol 1, Nr 3, pp 89-91 ABSTRACT: Bibliographic entry. YUSEMOT F.F.- WGINDY, 141. Numerical integration of equations for heat conduction in three-dimeasional space, Insh,-211s,shur, no#2:22-31 F 158. (MIRA 13 . 1) 1, Institut onargetiki AN BSSR, Minok. (Heat--conduction) (.4proximate solutions) __59-9-20r S04/58 r 9, P 87 (u - Zhurna 1959 fr-om lief era -gteau 1jeat_ Con irranslati'OrL p,oblems Of 1401% to JuShX0 Sol'atIon nces 1. te )if f er 3 apvlied Nkivoll P'n Appro7tima inIte S 6, PP 0 'K ,,taod as stIons of i4ethod Of ? 195 the new r Que of TTT1,B the 0 Caount 0 naxictIvity. e degree eTierg - tIc a . Ile at 00 as the ~s of -in ta teilla n-steady detail, as eQ Uatlo jtjoT1 5y s 4 CAI,' oatains a bleMs Of %10 Ined in dimeAs onal und Con plication arl j,ERIODI st,.xd:Y of pro . are exam VO a One-. of bo e aP zes Va .t,ae,sojutj.011 Vergenee tjjodS - r In .. ease Ines lie al p5svNcT to and Con .10,15 me arIsing tIou he eYam so olic arab Stability f the Va Aitions sIonal equa 01 ate.) - ~ar P problem ro,c-j 0 COJJUA dimen p art -nonlin d lax e I nal accu studies tile a two- (tri. ati-On 0 ee-dil S0Ical metilo l~ Sr men apil Ut)30'f ?or forms e- , a thr r roblem m a types. ,rIOUs he ,merica j0 fol analyzes S e p olut n the tb Xs of tyle r 5c sse -f networ cernirg ?,01--M - 0 axktho he d U 0 tj,)nl~ clon -Octal d- Th vinallyl Of a 3-P twory matho am.. t - l - probi equ3- ,te ne 'Iona ,s Sjven bY a One-dimen ,of SOV/58,59-9-2VA7 An Approximate solution to Problems of Non-Steady Heat Conductivity by the Method of FJnite Differences of solving.a system of equations which describe the simultaneous transfer of mass and he at (for example, the process of drying). nle study contains a host of numerical examples carried out to their completion, as well as an analysis of the contemporary literature on the subject. The bibliography lists 84 titles. B. Kat*enelenbaum Card 2/2 yumov. P.P. Lustion in cause host.conductivity Oq .a L.ith summary luteers lef riciouts on tesyerstur U.10) of d*p4ndGqc8 Of themal Cc 102-106 6 so. in InglishJ. lash.-fis. sbur.dO- 92 Minsk. norgatiki AN BSSR- 9- I.-,Inoti.tut 8 (He9t-Conducti0n) Partial) (Differential equations# C , . BLOVINA, A. I - I -- - , - -- 11 ~ convergence of the saries Of ProbleM in ImPrOV"'g thea graphs represent the Imimlation . pourier's fun-tions wbos' KV 15:186-195 .'58- 0f second degree parAhoja. TrudyILT, (lam 13-.4) I. Prodstavlana Xafqdroy vy9shey matematiki, LentngradskogO logicbeekog instituta kholodil'nOY proVshlennostie I takhno (HartAonic analysis) 24(8), $07/170-59-6-10/20 AUTHORSs Shimko, M. ULhkO TITLE: A Hankel Final Integral Tranaforaation. PERIODICAL: Inzhenerno-pizicheakiy zhurnal, 1959,.Nr 6, pp 72-79 (USSR) ABSTRAM For final integral transformations Sneddon ffefs .2, 17 introduced kernels, which'include Bessel functions, in orde'r to study.the physical state of.bodies possessing cylindrical symmetry. The transformations of this kind he denoted as Hankel final integral transformations. A general method for solving certain boundary-. val e roblems.with-separable variableswas proposed by G.A. Grin- I The authors describe three.cases of Henkel b erg- Refs 6, 17,. finallintegral transformations which were considered. by Sneddon and bring them to the form which could be applied for solving the problems on thermal state of a hollow cylinder. The inner surfaqe~ of thia oylindor io maintainad at a given temperature, and the outersurfaoe in tharmally insulatod. The HAnkol final integral transformation is' then expressed by Formuid 3.13 t%tid tho gorrooi! ponding conversion formula is 3.14. This integral transformation Card 1/2 is,used in the solution of the problem of heat conductivity for a sov/170-59-6-10/20 A Hankel Final Integral Transformation r conditions (4.2 d r (Equation 4ol) with boundarl. h 11ow cylin e i 0 4-4) of the second type.. The solution is.given by FormulA 4.9. There are 14 references$ 0 of which are Soviet, and 5 English.- ASSOCIATION: Institut energatiki AN BSSR (Institute of Power Engineering of.the AS Belorussian SSR), Minsk. Card 2/2 TUSHKOVO integratine' simultaneous differential I equations of heat transfer and the mass of a substance. Tru4y Inst.euerg. AN BSSR no.10..73-80 159 QM& 13: 6) (Heat-Tranamission) '(Differential ecluations) 84269 S/170/60/003/010/014/023 B019/BO54 AUTHORS: Loginov, L. I.,._Yushkov, P. P. T-ITLE::-.:-- --The Numerical Integration. of the Equation System for the Heat -mass.. -Exchange With the Aid of Implicit Formulas PERIODICAL: Inzhenerne-fizicheskiy zhurnal, 1960, Vol. 3-1 No_.___1Oi_ pp. 93-96 TEXT: The authora study the numerical integration of the differential n Mass 4. equation. ayotom for the hant- d transfer. 'd hey restrict themselves to the one-dimensional ~a-a7e~C) P-Dalwo ttlal ULI' transfer coefficients are constant: at/aT = aa 2t/ax2 + b8u/at (b Q/,_ (6) au/aT = a',a 2u/ax2 (-R 1~- x 6~ R) (7) The corre3ponding boundary and initial conditions are given by (a) - (IJO). V. Lykov (Refs. 3, 4) had already studied this eystem.+A numerical integration of this system by-explicilu formulas had been described by Yushkov(Ref. 5). For the boundary and initial conditions (9) and (10), Card 1/2 The Numerical Integration of the Equation )VR70/60/003/010/014/023 System for the Heat-mass Exchange With the B019/BO54, Aid of Imi)licit Formulas the authors introduce the analogous difference formulas (1!) and (12), and derive the implicit difference formulas (13) - (14) analogrous to (6) -- (7). These implicit difference formulan are aomewhat more complex than the explicit ones, but they permit an increase of the step. Pinally, the authors give the formulas (15) for the numerical integration in the case in wid-ch. a ayaten-, of four oquatlonv with 'our unknowria it; to be solved. There. are figure and 5 references: 4 Soviet and I Brit-lah., ASSOCIATION: Irstitut energetiki All BSSR, g. Minsk (Institute of Power Eng~neering of the.AS BSSR, 144-nsk) SUBMITTED:, March 8. 1960 YUSHKOV P~etr pr X LYKOV AN akademik.-red,- __EetzQxjahp 0 09 --BARkBkIGVAP Ye., red. izd-va; ATIAS, A.,, tekhn.,red. [Bessel's functions and their applications to problems in the cool- ing of a cylinder-l-Punktsii Besselia i-ikh prilozheniia k zadacham okhlazhdenii t&tlindra. Pod red, A.V.Bykova. Minsk, Izd-vo Akad. nauk BSSR. 1962, 169 p. (MM 15:7) 1. Akademiya nauk Belomskoy SSR (for Lykov). (Bessell functions) (HeeTransmission) TUSHKOVI F.P. Conference of readera of the fil=henerno-fizicheskil. zk=wl,9 m'd the international jourml Olleat and Haas Transfer* at Leningrad* TrAzh.- riz, zllur, 5 no.7tl34,-136 Jl 162o (1,11M 15:7) (Heat-Transmission) (Mass transfer) ---1USh-KOvj' F. 'P. "-:-~....Inf.Luen:!e~,of-.t~Qundar -conditions:1and.typ -of~grid lines on-the-stability -Y. of -differential -. schemes for the numerical -integration, of the heatu-conduction equation." report submitted for 22nd All-Union Conf on Heat & Mass Transfer, Minsk, 4-12 May 1961v.-- Leningrad Technological Iw3t of the Refrigeration Industry. ~, I.P.; POLYAKOV, N.N.; YUSHKOV, TI.P, VALTANDER, S.V.; GINZBUR( Konatantin Ivanovich Strakhovich, 1905- ; on his U)tb birthday. I Inzh.-fiz. 2hur. 8 no-3:,409-410 mr.165. I (IU',qA 18: 5) 1 - A 4p; RT, KVriia~ &0