662.753; 377.3.630.1
. . , . . , . . , . .

. . , , , , , . , ї, . . ї ї () , , , ї. . , ї. . 5 , 450 ∞. 669 /3 ^4 . %, 0,397, -
2
ї, 0,382. .
: ї, (), , , ї, .
M. Ya. Kordon, V. M. Anan'ev, N. N. Vershinin, A. A. Zaonegin
METHOD OF COMPLEX OPTIMIZATION OF THE PROCESS OF DIRECT OXIDATION OF HYDROCARBONS BY ATMOSPHERIC OXYGEN
Abstract. Background. Need for creation of low-tonnage installations for receiving the methanol which is meeting technical, technological, ecological and economic
requirements taking into account the modern level of theoretical research and practical results, a number of technological problems demand additional research directed towards the improvement of technological process of oxidation of methane-containing gases by atmospheric oxygen. The purpose of the work is to develop and justify the possibility of application of the technique of harmonious condition of the system corresponding to the classical "gold proportion", on the basis of the system analysis of the technological process. Materials and methods. The method of complex optimization of process of direct oxidation of hydrocarbons by atmospheric oxygen is based on the use of properties of a "gold" geometrical progression and "a gold proportion" numbers of Fibonacci series by submission of geometrical characteristics of the reactor and parameters of the technological process in the form of complexes (simplexes) of hierarchical structure possessing dynamic symmetry which pertain the increase or reduction simplexes, expressed by "a gold proportion". Results. Checking of theoretical development was carried out on the reactor which geometrical characteristics corresponded to "a gold proportion". Methane and air were used as a working mix. Pressure in the reactor was 5 MPas, and temperature in a zone of reaction - 450 ∞C. The maximum exit of methanol of 669 g/m3 was obtained as the methane passed through the methanol reactor with ^4 structure,
2
with % of 0,397, that slightly differs from "a gold proportion" equaling to 0,382. The relations of pressure and temperature correspond to optimum values.
Key words: "Golden proportion", methane (methanol), selectivity, reactor, harmony of mathematics, conversion.

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, ї:
- :
_1 = 1 -1 = 0,618, _2 = -2 = 0,382, = 0,-1, -2, -3,...,
- :
^ = 1 1 = 1,618, ^2 = 2 = 2,618, = 0,1,2,3,...,

12 = 1/2,618 = 0,382; (-1 ) = 0,6182 = 0,382.
ї, (4) ї :
1.
(-1)2 = | 4 + - |= 0,618 0,618 = 0,382 = /. (6)
^ I)
2. ^1 -
-2 1
= X
;/2 = (44/2) / = 0,383 1,618 = 0,618. (7)
3. / / = 0,618:
4/2 = (4 / 2) / / = 0,618 0,618 = 0,382 (8)
4. / / , :
4/2 = (4/2) / / =
= 0,382 / = 0,382.1,618 = 0,618. (9)
(6)-(9)
= (0,618)2 1,618 = 0,618 0,618 = 0,382 1,618 = 0,618. (10)
(10) .
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= 0,5-10-3 3/ .
, . 1.
1

350 343 342 240 221 418 387 392 391 396 432
CH4 %, . 85,2 83,3 76,2 69,0 62,2 40,0 35,2 30,5 16,2 11,4 7,1
2 %, . 3,7 4,2 5,3 7,5 8,2 9,0 10,0 10,3 14,0 15,8 17,9
4 2 23,03 19,83 14,38 9,20 7,59 4,44 3,52 3,42 1,157 0,722 0,397
, 3 20 23 31 35 37 85 95 101 211 323 669
, 4/2 = 7,1/17,9 = 0,397 , ї, 0,382.
= 5 3. = 450 ∞
= /1,618 = 450/1,618 = 278 ∞.
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3 * +2 ^ 3 *. (13)
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S OH- = 0,618 - ; -
CH3OH
, 0,382.
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E-mail: ot@pnzgu.ru

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E-mail: ot@pnzgu.ru

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E-mail: ot@pnzgu.ru
Kordon Mikhail Yakovlevich Candidate of engineering sciences, professor, sub-department of technosphere safety, Penza State University (40 Krasnaya street, Penza, Russia)
Anan'ev Vladimir Mikhaylovich Candidate of engineering sciences, senior staff scientist, sub-department of technosphere safety, Penza State University (40 Krasnaya street, Penza, Russia)
Vershinin Nikolay Nikolaevich Doctor of engineering sciences, professor, head of sub-department of technosphere safety, Penza State University (40 Krasnaya street, Penza, Russia)

, , (, . , . ,40)
E-mail: ot@pnzgu.ru
662.753; 377.3.630.1 , . .
/ . . , . . , . . , . . // . . . - 2013. - 4 (28). - . 128-139.
Zaonegin Anton Aleksandrovich Leading engineer, sub-department of technosphere safety, Penza State University (40 Krasnaya street, Penza, Russia)