HEMISKI Zbirka re{eni zada~i REAKTORI 3

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[esti del. Industriski reaktori So izvedbata na brzinskiot izraz kako funkcija od konverzijata, temperaturata i pritisokot, prvata ravenka vo sistemot od diferencijalni ravenki e kompletirana. Ostanuva da se opredelime pome|u re{avawe na problemot razgleduvaj}i edna cevka od reaktorot ili site cevki! Se razbira deka toa {to se slu~uva vo edna cevka na ist na~in se slu~uva vo site cevki: reaktorot vsu{nost e paralelna kombinacija od poedine~ni reaktori – cevki. Se opredeluvame presmetkite da gi izvedeme za edna cevka. Ova zna~i deka vlezniot protok na reaktantot e: FAo, cevka FAo / 4631 396 / 4631 0, 0855kmol/h 5 2, 375 10 kmol/s. Spored toa, prvata diferencijalna ravenka, ravenkata na molskiot bilans (1), }e izgleda vaka: dX dW F ( r A ) Ao, cevka 1 kg kat (1 cevka) i }e se re{ava so dvata brzinski izraza. Integriraweto, odnosno re{avaweto na site tri diferencijalni ravenki }e se izveduva za koli~ina katalizator vo edna cevka. Vkupnata koli~ina katalizator }e se dobiva so mno- èwe so vkupniot broj cevki. U{te edna va`na zabele{ka e deka pri podgotovkata na drugite dve diferencijalni ravenki }e treba da se vnimava vo smisla na veli~inite koi se odnesuvaat na protocite, povr{inata na toplinskata razmena i napre~niot presek na reaktorskite cevki. Toplinskiot bilans, odnosno ravenkata (2), treba da se podgotvi za re{avawe. Vo ravenkata izrazite se zamenuvaat soodvetno, a se vnesuvaat i poznatite numeri~ki vrednosti. Podolu se dadeni site potrebni podgotovki: – specifi~na povr{ina na toplinskata razmena: 2RL ncevki 2 3 1 3 4 2 a' ( m /m ) ( m /kg ) ( m /kg ) 2 kat kat ; R L n D cevki sloj sloj 4 2 a ' 0, 1046 ( m /kg kat ) ; 0, 0706 541, 85 503
– proizvod od koeficientot na prenos na toplina i specifi~nata povr{ina: 2 2 U a' 0, 0567 kJ/(m s K) 0, 1046( m /kg ); 504 kat U a' 0, 00593 kJ/(kg s K) 21, 343kJ/(kg h K); kat kat – toplina na reakcijata kako funkcija od temperaturata: H r T ( T ) H C dT 98700 C dT ; r, TR TR 1 1 P C P iC P, i iC P, i CP, A 0, 5CP, B CP, C ( A) 1 C P ( 30, 186 ( 35, 64 42, 4310 71, 68 10 3 3 3 6 T 31, 49 10 6 T 18, 1810 T 700 0, 5( 24, 01 17, 497 10 T 6, 619310 3 CP 6, 551 20, 502 10 T 10 10 T kJ/(kmol K) ; ovaa temperaturna zavisnost za CP se zamenuva vo izrazot za toplina na reakcija i se izvr{uva nazna~enoto integrirawe: H r F C ( T 6 ( T ) 98700 6, 551( T 700) 10, 2510 6 3, 33310 3 3 700 ) kJ/kmol; – suma vo imenitelot vo ravenkata (2): i P, i iC P, i F( X ) C Ao i i / A P, i F Ao C i 2 P, i FiC P, i FAo ( iC P, i CP T T 3 X ) 2 2 ) 6 ) ( T F iC P, i ACP, A BC P, B I CP, I 30, 186 42, 4310 7, 182( 26, 167 3 6, 612 10 3 3 T 6 T 18, 18 10 T 2 2 Ao P T ) 2 ) 700 0, 909( 24, 01 17, 497 10 T 6, 619310 3 0, 2885 10 2 ) iC X ( ) 239, 942 105, 822 10 T 26, 226 10 T kJ/(kmol K) . iC P, i 6 2 6 6 T T 2 2 P, i A ) )
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HEMISKI REAKTORI 3 Zbirka re{eni za
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Skopje, 2010
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Predgovor . . . Hemiskiot reaktor e
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lot da se stekne so ve{tina da gi k
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~ite }e mu ovozmoì preku niv da go
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5. TOPLINSKI BILANSI ..............
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XIV êtvrti del IDEALEN CEVEN REAKT
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Zada~a 4. Adijabatski PBR so pretho
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1. STEHIOMETRIJA 1.1. Prost reakcio
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Prv del. Definicii, koncepti, stehi
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2. TOPLINA NA REAKCIJA I HEMISKA RA
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3. IZRAZI ZA BRZINA NA REAKCIJA 3.1
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Molskite koncentracii vklu~eni vo b
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kako ravenkata (52). Razlikata e vo
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Ravenkite za dizajn na cevniot reak
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Ravenkata za dizajn na ceven reakto
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Za presmetka na brojot na reaktorit
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28 Po~eten uslov za re{avawe na sis
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Toplinski bilansi za adijabatska ra
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32 T H ( r ) V r A a, vlez Ta, vle
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Toplinski bilansi za izotermna rabo
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Osnovnata ravenka na toplinskiot bi
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38 H / L Q q dz Ua ( T T ) dz ;
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Vtor del [arèn reaktor
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Re{enie: a) Za izotermna rabota na
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POLYMATH Results Calculated values
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Explicit equations as entered by th
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Jasno e deka vremeto potrebno za re
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Zada~a 2 64 [arèn reaktor i CSTR s
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Rezultatot e deka so eden {arèn re
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Vo ravenkata za dizajn (48) gi zame
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a) Brojot na {arìte koj }e go obez
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Kone~nata forma na brzinskiot izraz
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76 Mi % (w/w) 1 3 Cio smesa kmol/m
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Re{enie: Samo so primena na ravenka
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data e so sè pomali temperaturni r
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) Za varijantata na razmena na topl
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( H r )( rA ) V TW , vlez T
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Vkupnata koli~ina toplina {to }e se
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) Za presmetka na vremeto na reakci
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( 1 X ) To C A C Ao ; (1) ( 1 0, 5
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11620 X T To . (6) 38, 73 12, 91X
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96 t r t r C P dP dP C Ao ; 0, 5(
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a) Od kineti~kite podatoci da se op
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100 C C W n C Wo / V Wo W rastvor
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A B ; ( rA) k1C A k2C B ; 7 1 k
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) Vremeto na reakcija za 80% konver
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presmetki za izotermna rabota na re
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Zada~a 1 Hidrogenacija na etilen vo
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Tret del. Proto~en reaktor od rezer
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1 Tret del. Proto~en reaktor od rez
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POLYMATH Results Tret del. Proto~en
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F F X X A1 B1 1 1 Tret del. Proto~e
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C B2 0, 1056 F F X 2 A2 B2 2 Tre
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Zada~a 8 Tret del. Proto~en reaktor
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Explicit equations [1] R = 0 [2] T
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X * XMB XEB X*; XMB; XEB 1 0.8 0.6
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XMB XEB 1 0.8 0.6 0.4 0.2 Zada~a 10
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( C C A1 ( C C A2 ( C C A3 A Tret d
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1 Tret del. Proto~en reaktor od rez
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Zada~a 15 Tret del. Proto~en reakto
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C C C C Bo Bo Wo Wo Tret del. Proto
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dT dt Tret del. Proto~en reaktor od
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Zada~a 1 Endotermna reakcija vo gas
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êtvrti del. Idealen ceven reaktor
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Re{enie: êtvrti del. Idealen ceven
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A (NO) B (O2) C (NO2) I (N2) êtvrt
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X 0 0, 2 êtvrti del. Idealen ceve
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Re{enie: a) Izotermna rabota: êtvr
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T (K) k (T) izraz (4) êtvrti del.
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( r êtvrti del. Idealen ceven reak
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0,22 êtvrti del. Idealen ceven rea
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Zada~a 16 êtvrti del. Idealen ceve
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V PFR k F Ao êtvrti del. Idealen c
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Ropt=1,5 Vmin=1884litri êtvrti del
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Petti del Kataliti~ki reaktor so fi
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ili 318 - diferencijalen oblik, kak
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Od izve{tajot i od rezultatite od p
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Grafi~ka prezentacija na site rezul
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Ponatamu podgotvuvame brzinski izra
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Zada~a 3 326 Reakcija vo gasna faza
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Iako brzinskiot izraz e prili~no go
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330 Fio Fi() Fi(X) pi = yiP = (Fi/F
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332 A FAo B Bo Fio Fi() Fi(X) F 2F
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Ako reakcijata se odviva vo pove}ec
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Isto taka, dobro e da znaeme kolku
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Prvo, brzinskiot izraz se pi{uva vo
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340 Yexp X Ycalc 6087E-12 0.105 8.0
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Re{enie: Rabota so razmena na topli
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344 dT dV dT dT dT FT CP 65, 9 6,
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Kako {to moè da se vidi od dobieni
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Komentari: 1) So adijabatska rabota
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za KC(T) se dobiva sledniov izraz:
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352 W (kg) W (kg) (-rA) = f(W) W (k
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354 - toplina na reakcijata: Hr = 1
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356 dT dV ( H r )( r C A ) smes
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358 Potrebniot broj reaktorski cevk
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360 C TS r a, T kT pT Cv K
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364 Za brzinski izraz preku konverz
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366 0, 2 0 h f ( X ) dX 3 0, 2 0
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368 Sega go pi{uvame bilansot na ak
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Re{avawe na ravenkata (8) zna~i pre
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Analizata za razli~ni vrednosti na
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Re{enie: 1) Ravenkata za dizajn na
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[8] Po = (1-X)*P/(2-X) [9] Ph = (1-
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1 ( rO ) f ( W ) ili D f ( X )
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380 f 9, 375 ( 1, 75 0, 0585 ?) 9
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Za da zaklu~ime dali ovoj volumen e
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pritisokot i konverzijata. Zavisnos
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k 3.194E-05 3.194E-05 3.194E-05 3.1
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[esti del Industriski reaktori
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392 - vlez vo reaktorot: T C o 650
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Izleznata konverzija normalno raste
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gramata se vnesuvaat ovie dve raven
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Toplinskiot bilans vo ovoj slu~aj }
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400 X 0.5 0.4 0.3 0.2 0.1 1 2 3 4 5
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402 1060 1032 T(K) X 1004 976 948 9
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Zada~a 2 404 Piroliza na etan do et
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406 C A C Ao ( 1 X ) ; ( 1 0, 6X )
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408 X 1 0.8 0.6 0.4 0.2 0 900 950 1
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T 1053 930.72495 1053 930.72495 FAo
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sokot, potoa podatokot za konstante
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Za vrednosti na Re-brojot pome|u 30
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416 V (m 3 ) P(V) V (m 3 ) X(T) T (
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eaktorot: dali toa }e bide izotermn
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2) Da se povtori re{enieto pod 1),
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e{avawe na zada~ata da se koristi p
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ni ravenki, (5), (6) i (7), zavisno
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Ramnoteà: Za da se kompletira slik
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Explicit equations [1] Feo = 0.0034
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432 T (K) Presek na ramnote`na i ad
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cionen mehanizam koj, pokraj glavna
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436 - vodorod, H: - benzen, B: - et
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Za da se re{i sistemot od 7+1 difer
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440 FE(V) Promena na molskite proto
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442 F F F F F F F E FEo 1) 1 ( 1
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enzen izvedena pod dadenite uslovi
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- toplinski kapaciteti na reaktanto
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dX (rA ) . (3) dW FAo Ravenkata (3
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FAo 20 20 20 20 T 527.23 527.23 812
Page 469 and 470: 2) Novata varijanta na adijabatskat
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Page 473 and 474: Zna~i, so ovaa varijanta razreduvaw
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Page 479 and 480: Explicit equations as entered by th
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Page 483 and 484: Sedmiot segment: POLYMATH Results C
Page 485 and 486: Explicit equations as entered by th
Page 487 and 488: 470 X 0.4 0.32 0.24 0.16 0.08 0 500
Page 489 and 490: Zada~a 5 472 Proizvodstvo na glukon
Page 491 and 492: 30 24 / 144 5 . Zna~i, na po~etok
Page 493 and 494: T a b e l a 1 Po~etok na ciklus 10
Page 495 and 496: 478 Vmax / K m 1 5 3 k 0, 016 h
Page 497 and 498: te~nata reakciona smesa se odrùva
Page 499 and 500: 482 r r , r , 1 r , 2 r , 3 C
Page 501 and 502: azot za vkupno sozdadena kiselina (
Page 503 and 504: 486 CB(t) CM(t) t (s) t (s) t (s) A
Page 505 and 506: Zada~a 7 488 Kataliti~ka oksidacija
Page 507 and 508: 490 dX dW ( rA ) F1 ( X , T ) (2)
Page 509 and 510: Podolu se izve{taite i grafi~kite p
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Page 513 and 514: Reakcioniot plan pretstavuva grafik
Page 515 and 516: 498 Podatoci potrebni za re{avawe n
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Page 519: 0, 01094 kmol ( rA ) k 0, 425 P ; P
Page 523 and 524: 506 - Drugite podatoci se: sloj 5
Page 525 and 526: 508 X(W) W (kg) Zavisnost konverzij
Page 527 and 528: temperatura dava podobar efekt i vo
Page 529 and 530: Bidej}i reakcijata e egzotermna so
Page 531 and 532: 514 - Kinetika r ( r k r k 1 1 2 2
Page 533 and 534: 516 k k r k k 1 1 1 2 2 2 dF C dV d
Page 535 and 536: So solverot za diferencijalni raven
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Page 539 and 540: 522 Varijanta 2. Proces so kislorod
Page 541 and 542: Ravenka za dizajn na PBR: Ravenkata
Page 543 and 544: Sistemot diferencijalni ravenki (11
Page 545 and 546: 528 FA(W) FB(W) FC(W) W (kg) FD(W);
Page 547 and 548: POLYMATH Results Calculated values
Page 549 and 550: Ravenkite {to treba da se kombinira
Page 551 and 552: vo 7648.55 7648.55 7648.55 7648.55
Page 553 and 554: 536 r2(W) r1(W) Grafik na zavisnost
Page 555 and 556: Y = 1 7, 077 ( 1 0, 45) ( 1 0, 4
Page 557 and 558: 540 r2(W) r1(W) W (kg) Grafik na za
Page 559 and 560: 1 ( rA ) 1 r1 k1 p A pB kmol/(kg
Page 561 and 562: 544 Za specifi~nata povr{ina se zam
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Page 565 and 566: Cpa 44.257982 44.257982 65.187219 5
Page 567 and 568: Na prviot grafik ne e pretstavena z
Page 569 and 570: 552 Da se presmetaat i analiziraat
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FMo 9, 07 3 CMo 0, 169 kmol/m .
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povtorno treba da se re{at ravenkat
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da se odviva taka vleznata temperat
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560 ~ , i iC P 35 12, 518 0, 05
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Vremeto na nestacionarniot period n
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564 C C C Ao Bo Mo F F Ao o Bo
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Kako {to se gleda od dobienite rezu
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Zada~a 11 568 Proizvodstvo na akril
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na izreagiran propilen (AK/P 0,82-
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se dobivaat preku stehiometriskite
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Granicite za re{avawe na ravenkite
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578 T(V) Grafik 2. Promena na tempe
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turata e T 520 K. Vo ovaa presmetk
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smesa moè da se izrazi preku edins
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inerti i amonijak. Koga vtoroto e s
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586 k1 pC 2 R 0 K P ( atm ) ; (
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duvanata reakcija. Ovaa operacija t
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I dvata grafika, 2 i 3, pokaùvaat
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( r A 592 F C F F F F To T T F
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Sledniot ~ekor e da se sostavat mol
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na i specifi~nata povr{ina na topli
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[5] k1 = 1.79*(10^4)*exp(-20800/1.9
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Stepen na konverzija na azot Stepen
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602 1) UaV = 25000 kJ/(m 3 ·h·K)
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LITERATURA 1. Levenspiel, Octave, C
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ISBN 978-608-65044-3-4
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HEMISKI Zbirka re{eni zada~i REAKTORI 3

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