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prob.xii-6n - 21.031-1ND 21.31 EHI'EINEERING HF NUCLEAR...

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Unformatted text preview: _____-' 21.031 .-1ND 21.31:! EHI'EINEERING HF NUCLEAR REACTDRS FALL L993 .::"—‘,' PROBLEM 12-6N .._ _', ._ CIflI'ISIiJLT u 3 meter lung; wntcr channel 0f cuculnr cmss-aecnenal arm 3.51 ifl‘fi‘n-‘l operatmg a: th'. _ 1'0110u'ing m‘ntdirions.‘ L m = H 39 1':ng -_-_.; p=7.1 ."fi-‘lP'J. 2.: . n". —- fiflturutfld q ' = dually: unu'ur'm flux“ -' [”5 i Cnmpmt and plan an: a function 0: anal posst‘mn: ': :_— 1 . Hum tempcrdmrc. .1 m Wall tampcmturc. and .1. {Cl-[FR I'ur [ht axial Incnnfins when: the Hench-Levy lirmL lines {pagt 56 I} an: valid. 1 q. .. Edithiort to 12-5 ov Mist-Last Turetr Felt. tees Define i.i'arisezites. i will not use units because of the wierd powers used to tit data. A. Fluid Ten‘perature Tttutd- see C Saturated Conditions. Tt'I-e but-tr terrpereture stars at sis-it t: throughout the tube. 3. This is tdiphtiglI more complicated. Using the saturated boiling heat transter emotions retwlree an iteritivo prooess to detenrine the wall temperature as a function ot height m the Forster-Zuber quation thrbl is a tunction ot watt pressure whim is itself a tunction of wall terrperaurure. Ftrst we must deiirte veraloles and ttuid properties and prepare for iteration. t have used the variable 1 as the vat-eels over which iteration will oodtr. In order to reduce the ertrarce etterts t have used a vertr high range on :. Settsteotor'lr results can be obtained it z==3tit1l steps. I set ttutd parameters as western since the error the}.r introduce over this small temperature range is n'rnimal. Ttteictt=23'i.'t9 Penman-to“ mnuw:=.oe s:=t.s-1e"‘hin:=tettis-m3 ._ . .. -s z :=t]. Ina-0m Miser; 2—1;” L :3 1(3]2=—_2+] 933’ "394E pitted "9"1 1t] emu nudism-:31: ._ -s ._ ._ -3 ._ ._ P- ugm.-19.21*ll} quasar] cr.—tI5.‘tl-l[t hfg.—149‘2..2'|[73 De.- ’4: s x? Rel moi. itl'luid :=rt.sss .- . ._ _ I _ s Prf1=ufluid-i_ Tia: .—Tt'tmd hour. .—|'tm+ .tE-hl'g hout = 1.5m 111} mu“: Q qflm = 4.934'1U5 Rel = 2.339'1fl5 Q .=[hout- hm }-mflotv other 1: n-DeL q = seer to4 The nest step is to determine he [convection heattranster coettictent] since this step does not require mitt-variable iteration. 't Iutz}1=[(_fl:z} )fl'9.(_t3“”j‘1)fl'5.(i15“5 0'1]- 1-:t 2) eses tifl ' height: I 1 exists Ft 1.] :=' ——-Ellt, 111.135- (213+ ) Kata} Xttt I} insist =nre3. Gtt—stsi) D: M MBA-Mafia} ' pfluid De Re: a} t: set-Frztl'” 1+ 2.53m “set 21"” For an initial value oi Tw use the inlet term-stature. Since no nucleate boiling oocurs right at: the entranoe. twill as set detteP =t't. Forthe same reason. trout). Thus PWBPE-al end deltaT=t1. For this iteration. since it is a function ot 1 and live equations. | rmst use seeded iteration which uses matrices to stlrruttaneoustv solve all the equations tor each value oi z hetore proceeding on. [iteration of several variables doeert worit with the pivenJInd tunotion] Ste] 2: 'i .'.i1i TW fl 233 11:11:“ 2 ELF!) : I] Pwfl 2222-112Ii 2.2Tfl '3' mm (1-2"; 1 + T“ I Tw-E 1+ 1 ]| 1 . {1.3"}. 0.115. . [1,49 “Whip” _5{I] {1mm} (“film :2 2T “J-(szfl'u-mpzy” “n+1: ("-uflu'u1” 222‘ 1225' Pw: - P531 “12+ 1} 232+” (29112 —1575105WJ+534355[TW} TWIHTSHJ, 322 32a [—r—y—y— 3m 21:} T“; 3m TN: 301} 222 292 2241 222 u 1 2 3 u 2.25 2.1 2.15 2.2 height: 1': 1‘; 1.110? :‘i'lflll . 1-12? 4'10“ ha. half 1} H‘Iflfi 3'1“." rm“ I'm“ 1—] u 1 2 3 n l 2 3 hughl haig'hl: mu rm“ huh: 2- 124 hdzn+hnh 4.104 2'10‘ 1he1ghtlz hclflhlz l i - C. in hitter in determine CHFPFL we must use the Herith-Llest'tr Limit lines. Te use the H-L ‘ equetbne we must named to English units. twill use the submit»! e la (tenets English units. Mate: The Hydraulic Diameter. Us is iust ahmre the H‘L validly hut streuld he close emugh tn 3 itluslrete what is helm en in the channel tile-54 in latex H-L Elie-.49 in}. j Ge :19 nets-settles i ‘. 1_ _ _ . IE _ _ -__-.1 qflurte I=qflus~fl Ewen hr Cue .- l.4.’-12 lIL‘l ttt'tu: _ 4.954 105 m -E'['LT _ __ fl qnm = Last-ti]j .—' :lel I=D.273- 1111} (mm( 3 ) ml. = flflfil __= 10" ' ' GE '1 Ge 1 m2 := [tea-trees- mh 3-— + neste- tent-t ._ n: = tress 1:1" lit" 1 qfimts'itl: 3+ .1 1| I: "[11:23”: 1:] , mu. [1.9“ 3.3's[2}— (lenh(3*%) 2?):l'1flé] It} qflum'rlz' cunt: z 1 := ——-—i qflthts T CHFEL z} 5 4 I] 'I I 3 til-tightI As we can see lrem thegragh et GHFFt as Height. etter sheet 1.2 rn uplhe channel. the GHFFI starts te replete emreseh t. This sheet is due tn the less et liquid from the enamel well which reduces the amount at heat llux this shannel can eupppart hetere dryeut hearts even trough the h total is increeslng. The overall eltecl Is that heat trensler will became better and better are to the lnu‘easir‘g the at steam urfl stean't wall seiner: is made. Well tenuereture will then meet up an erder el‘ magnitude as vapor heat trenster hewmee the primary method at heat transfer. Data from " lz-Esat" fl'—/I y = EQUESHT — 2.5?51H5x + 1530.555“? R“! 2 HI!) ...
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