PHYSICS

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Document Number (FOIA) /ESDN (CREST): 
CIA-RDP80-00809A000600200197-3
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RIPPUB
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R
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6
Document Creation Date: 
December 22, 2016
Document Release Date: 
June 29, 2011
Sequence Number: 
197
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Publication Date: 
July 27, 1948
Content Type: 
REPORT
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PDF icon CIA-RDP80-00809A000600200197-3.pdf544.29 KB
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Sanitized Copy Approved for Release 2011/06/29: CIA-RDP80-00809A000600200197-3 WWMI PLACE ACQUIRED CENTRAL INTELLI (JFQRMAT IIIMI.. In ull. a.NDMICIgII OI MI. IOR. I! m "V aU.I..Ol. M'1I* SD D*1on 00.71.MID III.6.1 or I.a IOU w} ..TIIIIW FS amemi REPORT DATE DISTR. 27 JU1!.* 1948 NO. OF PAGES ( NO. OF ENCLS. (LISTCO BELOW) SUPPLEMENT TO D CD r, T Dill `rHIS IS UNEVALUATED INFORMATION FOR THE RESEARCH USE OF TRAINED INTELLIGENCE ANALYSTS SOURCE Riweian periodical, ]k~kledy Akademii Nancy Vol LV, No 7, 1%?, (FDB Per Abe REFILECTION OF A PJANE MO:UiTIOH wA)7E Ye. B. Zel'dovich Corresponding G9ember AcaIony of Sciences of the D:4SR and K. P. Stanyukow;? oh es referred to in the text are eppended. 11m. bars in parentheses refer to the bibliograp'*~J The law of adiabatic expansion pw . coat (1") is approximately cor- ( ?t~ dt of dctonstion of condensed explosives etith high denoitiea Studying the reflootion of the front of a strong detonation we from an abaci stable asl~., it is pocciLlto to areive at forurtlas (), v~hiah give the pressure and density in the first moment, 5rr1+ 17V r2 t 2rta p2 - Ph - b a (1) 9,2-?.+ (r- 1) I7r2r 21 i1 2 h 9Y2r2r+ (Yr 1) 17x2,-2r -1 ~ (2) P D2 x w2 (? - 1) D, wn Ph where 7 Is the polytropic index, In out case equal to 3;< CLASSIFICATION p 1 - )uw S NSRB DISTRIBUnoN STAT STAT Sanitized Copy Approved for Release 2011/06/29: CIA-RDP80-00809A000600200197-3 Sanitized Copy Approved for Release 2011/06/29: CIA-RDP80-00809A000600200197-3 l Ph x~?1 is the pressure on the front of the detonation wave; 100 : i ? the density S3, vh is the specific volume on the front of the detonation wave; p2 and v2~are the pressure and apocific volume on the front of the re flected percussion wave; D is the speed of the front of the detonation rave; and D2 is the speed of the front of the reflected wave. These formulae are obtained from the standard theory of p.,rcusaion Pe PC waves on the assumption E _ --r w3Lh,~' = 3 (see te.ble, ;). This r- 1 de- sioonFitn%wonuldle lead to a detsia s eedlof de equation ti n s ecPnst a ae r dsduceri tro pending upon ys m experimental data on the dependence of the speed of detonation upon the density D8. It is possible to solve the same problem, assigning pQ3 coast not only. to the ieentrope, but also to the Gyugonio adiabatic curve of a perc.as.on wave and using the exact formulae of the theory of percussion waves, 12 . 11 11', p2Pl and D = ul vl v v2 u u7 = ' (P2 ' Pl) (vl -. v2) (see table, IX). Finally, it is possible to examine appros?iroately the changes o:' the state and speed of a percussion rave, using the correct formulas for a u;ca- bination of acoustic waves du = o dr ? ?, do = do (with r;~ 3) and their integral I url - x:21=j01 - cPj leas table, zIi). ' All three give very similer results for the state in, the initial nonant, p2/pl 2387 2347 2370 v2/V1 0760 0753 0750 e2/ol 1347 1329 1,333 3ucsh agreement is the result of the small ratio of the speed to the speed of oomid ul/o = 3/3 in the current which is not runaing to the wall, which leads to a o3 seneas of the percussion rave to the acoustic and, in particulae, to a small change of entropy (4). It is curious that this takes place with a significant change of the pressure of almost 2.5 times. (it can be shown that with any po3ytswpie index, including r ? 1, the entropy changes very little i the reflection of the detonation wave.) This eirembtnnoo with r m 3 makes it very simple to solve i:..e problem of the reflection of a detonation wave, using the acoustic bond U and g. STAT Sanitized Copy Approved for Release 2011/06/29: CIA-RDP80-00809A000600200197-3 Sanitized Copy Approved for Release 2011/06/29: CIA-RDP80-00809A000600200197-3 I erall solution of t'o :;nt:.atic:: c' , IWOtoan cr :e .; el ;?~, at s io ha< 3 (L r c) r .'1 (i t C); i/.. To shall exa;aine sech t: erobl e: Let '.;.a e or e, , ~, rn bo,lin a ; t? n Crary ~c as. a ui do 2- .,here u is tho icoel greed of the c~cmon~, o? aa; a ;a ' he local Q;:'' id of scz F' F n', r if? C by thersa same eguatie;as (Fi'vre 1, '.rj jar xuir a: c roeree) d:'. the :me: t Of "si The moveaaont of produc?i.o of deLonaaticn ;^:aich d1of?r`.og'atc to :f ,a .aft xl t,l i)%: u From the oonditlon' ths't x a, e z 3, rr..J that oii :he .''rant of thr; ro?. We noticed that the aped of x e&c :.n +hca re21cct d rz.ve hru, a sil n tshi:t is the opFeeita of that of the 3pood of brreac on - ie e9ri?,onctioz ware. Since are fulf i.led, we doternirea the val'm of th: crbittrary :unctions F1 anel F2. F7 (u + a) _ tot In - a, F, ('a - C) " a - C2 D = 0; fror thZn ,:~~ hnc?- u2 Z. e^. 1P which with r z 3 erd &-,x v !',no nif givo D2 r 02 _- L'1. From this, Integrating azad remembetring tint with t = a/L, x ?- a, w. ibta- which gives the 1a`v of the distri`?w-ti^n f' `hc fo?~ ot ze c .r t? iec, ?2q;ULf a 2 Sanitized Copy Approved for Release 2011/06/29: CIA-RDP80-00809A000600200197-3 Sanitized Copy Approved for Release 2011/0/6/29: CIA-RDP80-00809A000600200197-3 l J'j Do - -~ ^' g ?} ? We novice that the relative amplitude of the wave in this solution in- creases according to the measure of its diffusion, as a result of which the error of the allowances which arc:?.made also dner,ases. lb ,the cane of an exact solution which considers the change of the ortropy, the reflected wave would have to overtake the left front of the expanded products of detonation with t --f.w (p -i0). The solution which we have found indicates that the meeting win take p3aer with x . DTh/2 = - Dt/2 - 1/2 E -!-2a, from which t = 16 a/D and x = -8a. The pressure on the call in this will be 64 ~~,,,, i.e, 6 pM' 0?OQ0 27 i6 4 14 will ftti4~[ia.:y w =U eraely small. 'U j6," 4116 iit`au~:iu-ac:y 16 wav u.tutt lai5~ t, when pis very small, i.e, in the field which is of no interest to us phys ically. -The distribution of the speed of the current and the speed of sound in the reflected wave at different moments of tire is illustrated in Figure 1; the density is p- o, the pressure is -c3. %The upper pair of curves gives the distribution of products of detonation in scattering until the wave reach3c the mon.) complete impluso of. the pressure acting on the wall: We calculate the e pxlt 7 P i )3 dt . 6N1} a .D 3?'aB2-1 tuJh '/b A curve of the pressure with ar explosion of an equal charge at the wall., such that toe detonation move would be distributed from the wail tc the open. and of the charge is iilujtrate'l in article (5). Curves of pressure on the wall, in both cases are compared in Figure 2; the maximum pressure in the case of reflection (the continua curve) surpasses by eight tines the pressure on the wall for the front of the wave separated from the wall (the broken ctnvvm); ho?x over, the complete impulse of pressure in both cases is the sase. Finally, oxamining the case of an ordinary explosion (ecmpare(8)), i.e, instautsnuous reaction of an entire "-rlosive with the formation in the first rlowent of a layer of immobile explosion products of a constant density, weob?- fain a pressure curve of the typo p = pb; ttl and, depending upon the assumption, the following nrmerical results,. 1. Letting.E - 'rv/2, we find for the pressure, of the explosion p P CO Y 3/8 ; do : V 3"j?_ 1035 J. 2. Letting pv5 - coast, not only along the isentrope, but p, - ~cf P? = 0.42 P t ; c0 D r2 5 J = The corresponding ourvee p (t), not shows in Figure 1"(in order not to encumber it), are represented by a horizontal straight line between the axis of the ordinate and the fa ling arm of the continuous curve and practically Sanitized Copy Approved for Release 2011/06/29: CIA-RDP80-00809A000600200197-3 Sanitized Copy Approved for Release 2011/06/29: CIA-RDP80-00809A000600200197-3 I BiblioMvhv 1. L. D. Landau and K. P. Stanyukc'ich, D 399, 1945 2. ?Q. I. Pokrovskiy and K. P. Stanyukavich, DAN 2, 33, 1946 3. S. P. Starqukovich, DF.N 52, 777, 1914 4. Ya. B.'Zel'dovioh, IMM Of ues on avo and &aMZdMtIgn G ea 1946 5. K. P. Stang avioh, DAN , 523, 1946 6. A. A. Crib, Pt,1ltladaass~te~atika i rAekanika, 8, 273, 1944 ,Appended figures follov?7 Sanitized Copy Approved for Release 2011/06/29: CIA-RDP80-00809A000600200197-3 Sanitized Copy Approved for Release 2011/06/29: CIA-RDP80-00809A000600200197-3 Sanitized Copy Approved for Release 2011/06/29: CIA-RDP80-00809A000600200197-3