r >v U.. DEPRTMENT F CMMERCE Ntl Techcl frt ervce D- 9 bt Teperture & udty Crrect Fctr fr Exhut E fr T Cle f rcrft Turbe Ege Ntl vt Fclte Expertl r, tltc Cty, NJ ct 76 L
Deprt N. FU-RD-76-49 9 MBENT TEMPERTURE ND UMDTY CRRECTN FCTR FR EUT EMN FRM TW CLE c F RCRFT TURBNE ENGNE Lu ll Gerld R. luher 'Ml*» CTBER 7 FNL REPRT UüECäE B Dcut vlble t the publc thrugh the Ntl Techcl trt ervce prgteld, Vrg 5 Prepred fr U.. DEPRTMENT F TRNPRTTN feerl VTN DMNTRTN yte Reerch Develpet ertce Wlt. D.C. 59 REPRDUCED BY NTNL TECL NFRMTN ERVCE U. DEPRTMENT F CMMERCE PRNGFELD. V. Z6
NTCE Th dcut deted uder the prhp f the Deprtt f Trprtt the teret f frt exchge. The Uted tte Gvert ue lblty fr t tt r ue theref.
***. Reprt N. F-RD-76-49, Gver.Tt cce N. Techcl Ktprt Dcutt Pge. Recpt' Ctlg N. 4. Ttle d ubttle MBENT TEMPERTURE ND UMDTY CRRECTN FCTR FR EUT EMN FRM TW CLE F RCRFT TURBNE ENGNE u-.,,. /. uthr') Lu ll d Gerld R. luher 9. Perfrg rgzt Ne d ddre Federl vt dtrt Ntl vt Fclte Expertl Cter tltc Cty, Ne Jerey 45. prg gcy Ne d ddre { U.. Deprtt f Trprtt Federl vt dtrt yte Reerch d Develpt ervce Whgt, P.C. Q59Q. 5. uppletry Nte 5. Reprt Dte ctber 976 6. Perfrg rgxt Cde. Perfrg rgzt Reprt N F-N-76-6. Wrk Ut N. (TR) Ctrct r Grt N. -5-. Type f Reprt d Pd Cvered Fl Februry 974 - ugut 975 4. prg gcy Cde 6. btrct Crrect ceffct t reduce the prduct f exhut e t tdrddy dt fr bt teperture d hudty ere develped fr t cle f rcrft turbe ge. Crrelt d ultple regre ethd ere utlzed the ly f e euret recrded fr t turbe ge, perted uder turlly ccurrg vrtl dt, trtg the ter d tug thrugh the uer e. Crrect fctr ere etblhed tr the e dex (El) d per dex (P) fr crb xde (C), ttl hydrcrb (TC), d trg xde (N ) fr ech f fve ge per dt f dle, pprch, crue, xu tuu, d tkeff. bt teperture prduced the dt effect ll geu e. El d P fr TC requred the gretet gtude f bt teperture crrect fctr. udty hd gfct edry effect the gert f N x. The effect f bretrc preure ere th expertl errr fr the l rge f preure cutered. The crrect ceffct etblhed fr TF-P ge dt be ere detered t be pplcble fr crrect f JTD ge e. The teperture d hudty effect the gert f e re dered t hve be jr urce f vrblty f euret fr pt vetgt. 7. Key Wrd rcrft Crrect Fctr Turbe Ege E (Pllut) bt Teperture bt udty 9. ecurty Clf. (f th reprt) Uclfed Fr DT F 7.7 (-7). ecurty Clf. (f th pge) Uclfed. Dtrbut ttet Dcut vlble t the publc thrugh the Ntl Techcl frt ervce, prgfeld, Vrg 5 Reprduct f cpleted pge uthrzed // - N. f Pge *. Pce U K V - ' ' L
TBLE F TENT NTRDUCTN Purpe Bckgrud DCUN Decrpt f Turbe Ege Decrpt f ple Prbe Decrpt f Methd REULT 5 Mgtude f Crrect Fctr E Vrblty Reduct fr Crrected TF-P d J57-4WB Ege Dt Be UMMRY F REULT 5 CLUN 6 REFERENCE 7 PPENDE - TF-P, JTD-, d J57-4WB Ege Perfrce th berved d Crrected E dexe B - E dexe d Mthetcl Mdel TF-P d J57-4WB Ege. N dexe re Crrected fr udty C - Crrelt Ceffct ly f Vrce Vlue d Ceffct fr Regre ly D - Grphcl lut fr K udty Ctt fr N E J57-4WB Ege Pge '«Ef!«. T DC läw y" D Ut :\\ N. W'r BY CtBBT!(/»«lU f\
LT F LLUTRTN Fgure Pge E ple Prbe rj-p Ege E ple Prube.57-4 Ege 4 bt Teperture Crrect Fctr tr N 9 El TF-P Ege 4 bt Teperture Crrect Fctr fr N El,57-4 d JTD Ege 5 bt Teperture Crrect Fctr lr N TF-P Ege 6 bt Teperture Crrect Fctr fr N P J57-4 d JTD Ege 7 bt udty Crrect Fctr fr N El TF-P d,57-4 Ege bt udty Crrect Fctr fr N 4 P TF-P d J57-4 Ege 9 bt Teperture Crrect Fctr fr C 5 El TF-P Ege bt Teperture Crrect Fctr fr C 6 El,57-4 d JTD Ege bt '! per ture Crrect Fctr fr C 7 P TFU-P Ege bt Teperture Crrect Fctr fr C P.57-4 d JTD Ege bt Teperture Crrect Fctr fr TC 9 El TF-P Ege 4 bt Teperture Crrect Fctr fr TC El,57-4 d JTD Ege 5 bt Teperture Crrect Fctr fr TC P--TFÜ-P Ege 6 bt Teperture Cllect Fctr fr TC P J 57-4 d JTD Ege V
LT F TBLE Tble Pge Equt (6) Ctt - TF-P d J57-4WB Ege bt Teperture d udty Crrect Fctr fr TF-P Turbf Ege E bt Teperture d udty Crrect Fctr 5 fr JTD Turbf Ege E 4 Vrblty Reduct f Crrected TF-P d JTD Ege E Dt Be 5 Vrblty Reduct f Crrected J57-4WB Ege 4 E Dt Be
NTRDUCTN PURPE. The purpe f th reprt t etblh crrect fctr fr reducg exhut e fr t cle f rcrft turbe ge t tdrddy teperture d hudty. BCKGRUND. The Cle r dt f 97 (referce ) pecfed tht the Uted tte Deprtt f Trprtt (DT) d the Federl vt dtrt (F) prulgte regult frcg the rcrft ge e tdrd etblhed by the Evrtl Prtect gcy (EP). ce the e euret hed gfct vrblty thrughut vetgt perfred by EP d dutry (referce ), t pprt tht the vrblty uld hve t be qutfed. ce 97, t jr vrblty prble regrdg e euret hve be dtfed by dutry d gvert tudy te. The frt prble vlve cqurg reprettve e ple fr the exhut plue. trtfct f e the exhut plue h be prv by detled trvere prbg d the ly f prfle d tur plt f crb xde (C), ttl hydrcrb (TC), d xde f trg (N ). tude f the trvere e plt dcte tht the ue f fxed prbg techque t prvde reprettve ple feble (referce ). The ed prble re ffectg e euret vlve the effect f chge bt ether dt, prtculrly teperture d hudty, e level. Therefre, the F ced t duct vetgt f thee vrblty prble t the Ntl vt Fclte Expertl Cter (NFEC), tltc Cty, Ne Jerey. The reult f tht prt f Lhf vetgt deged t etblh the qutttve effect f bt teperture, hudty, d bretrc preure the prduct f turbe ge e d t etblh crrect fctr t rlze the bt ether effect fr tdrd e level dt re reprted here. DCUN DECRPTN F TURBNE ENGNE. T rcrft turbe ge ere teted, TF-P xed-fl turbf ge d J57-4 turbjet ge. urplu UF TF-P turbf ge elected tet vehcle becue f perfrce lrte t the cercl JTD ge. The TF-P turbf ge dfed by revg the fterburer ebly d tllg fxed-re exhut zzle fr cercl ge
ult. The ge curprte frt f, hvg byp t ge rfl rt f pprxtely.9 t, hch dvert r thrugh ulr duct tht fr the uter hell f the ge. The byp r xed th the exhut ge dtre f the turbe. The preure rt cr the cprer 6 t. The ge, dfed, prvde,5 pud thrut t tkeff per. J57-4WB turbjet ge de vlble by the UF fr th vetgt d elected becue f perfrce lrte t the cercl JTD- turbf ge. Preter f cer ere the tht fluce the gert f e, pecfclly, the r preure d teperture level t the let t the cbut chber. The J57-4WB turbjet ge feturg cprer preure rt f.5 t t hgh per. The J57-4WB ge, " utlze tet vehcle t ulte cbut chber let > dt f the JTD- ge. DECRPTN F MPLE PRBE. Fur fxed ple prbe er> tlled thrugh the TF-P tlppe prxty t the cre-f duct pltter, h fgure. Ech prbe ted three ple rfct (.-ch derer) lcted t ple ly exhut ge fr the cre. rd ple ptter cheved by tllg the prbe vryg chrd gle. Thee fxed ple prbe ere utlzed t detere the e level f the TF-P ge durg the bt fctr tet, ce vru prbg techque t the exhut zzle ext ere beg vetgted currtly. fxed, l.-pt ple prbe the hpe f qure utlzed fr the J57-4WB ge. The prbe *; pted th the dgl rtted.5 fr the vertcl d hrztl cterle h fgure. The prbe deged t ple t 6 perct f the zzle rdu thrugh.-ch hle lcted t the dpt d e-th rdu bth de f the dpt f ech 'jde (referce 4). The prbe pted fr cqurg reprettve e ple bed trvere reult f JTD- ge th lr cbut chber d trut fgurt. The prbe lcted che d cre f the exhut zzle t elte r ze prbe effect ge perfrce. UECRPTN F METD. Wh eurg the e f turbe rcrft ge uder vryg tpherc dt, there y be trl f let r teperture (t), pecfc hudty (), r preure (P). Therefre, f the regult fr e re t be frced, the effect f thee bt ether dt the e ut be k qutttvely. Ug the J57-4WB d TF-P ge, exhut e euret ere cqured ver the rge f bt dt ccurrg durg the ter, prg, d uer e. E f TC, C, d N ere eured ver fve ge per ettg fr bt let teperture f 6 Fhrhet (F) t 94 F d pecfc hudty rge f t 5 gr f
ter vpr per pud f dry r. beg le th ch f ercury. Bretrc preure extree ere l, Mthetcl delg f e gert turbe ge (referce 5) h dcted tht r preure (P) d teperture (tß) t the let t the cbut chber re jr preter deterg e level fr gv cbut chber. The bjectve f the tet prcedure ere t t tt vlue f ge per, hle llg bt teperture t vry. The prry ge per dt f dle, pprch, crue, xu tuu, d tkeff ere elected fr develpt f eprte crrect fctr, ech t tt P level. Per ettg ere held tt thrughut the vetgt by tg tt ge preure rt (EPR), tt crrected thrut, d tt crrected fuel fl. Bth ge ere perted t dtcl EPR' t per dt f pprch, crue, d xu tuu. Th prcedure pleted t detere the effect the crrect fctr f the dfferce cprer preure rt level bete the t ge. Ech tet perd ted f upclbrt d d-clbrt prcedure thrugh the elected per dt. Ege tblzt detered by trg the geu e recrd tul b. Wh tblzt reched, the vrt f the geu e bece rd; here, durg tblzt, the recrd uld h tedly creg r decreg trd th te. The e euret yte fred t the pecfct f referce 6. The dt be cluded pprxtely ge perfrce d e euret, fr ech ge teted (ppdx ). The dt cllected ere lyzed by verfyg the extce f egful effect, vertg the dt t t t uble fr d th decrbg the gert f e thetclly. T ccplh the ly, crrelt, trfrt d ultple regre techque ere utlzed t gerte the dered tt fr the thelcl del. The crrect fctr ere th clculted the rt f the thetcl del, lved fr tdrd bt dt t the del, hch y be lved fr ctul dt t clculte the crrect fctr. REULT The e dexe ere pected tlly by plttg gt the let teperture (t) Thee plt re cluded ppdx B. The e f C d TC decree th creed bt teperture, hle N cree th creed teperture. ler equt ft dered beg the plet y f defg the e. ever, extrplt pled zer r egtve e. reult, everl ltertve del ere ptulted d teted. The del ere vrt f the gerl equt fr trght le, y = x + b ()
Ce Ce Ce ll E = l + b,: ) El = /T + b () J El = /'l + b (4) here El e dex T blute teperture (Rke) the lpe b the tercept The trfrt f equt d 4 t prblc-type curve fr the trght-le equt, uccplhed by ubttutg /T fr T d fr equt 4, ubttutg El fr El. The trfrt ere ued tht trght-le fttg techque (let qure) culd be eplyed fr the fttg f re cplex fuct. Equt d ere utlzed the ly, but ere dcrded, ppdx C. the ctul tttcl cputer utput, pecfc hudty d tpherc preure ere dded, kg the del ultple ler ft, thu kg the gerl equt; y = b + j j + + j + E (5) here y = lg e dex b = tercept rj- ceffct cted th ]= teperture recprcl /T = ceffct cted th = pecfc hudty = ceffct cted th j= bretrc preure E = errr ter The tbult f the crrelt, tttcl tet, d regre ceffct fr the pecfc hudty, teperture, d preure re cluded ppdx C. The gerted tttc ere utlzed the fllg y:. The crrelt celct ere teted t detere f relthp bete the e dex d pecfc eured bt dt culd ext.. Multple crrelt ceffct qured hed the perctge f vrblty expled by the equt tht gerted.
j. The F vlu teted t detere f the ultple crrelt ceffct qured re, th chce. 4. Regre ceffct, tercept vlue, d errr f ette ere ued t gerte the equt. reve f the crrelt ceffct h tht fr t per ettg, bretrc preure de t trbute gfctly t the e dex. Th culd be due t the rther rr rge f bt preure ver hch the tet ere ru, (le th ch f ercury) d the tt EPR d P requret f the tet prcedure. reult, bretrc preure dcuted egful fctr the thetcl del t be preted. lthugh the ler d the vere teperture crrelt hed tht defte relthp culd ext, they ere bth ethetclly d ctfclly lckg jutfct. t ted eprclly tht the rte f checl rect fuct t the turl lgrth, e, red t per vryg verely t the blute teperture. Therefre, the del f equt 6 ued t chrcterze the prduct f C, TC. d N ge exhut e. The let-qure curve ft d ubequt trfrt reult ere gerlzed the thetcl ttet: L = K e e (Er ~> here El the e dex, pud pllutt per, pud fel. K = equt tt equvlt t tercept f the equt h lgrthc fr K = tt cted th the teperture KT = tt cted th the hudty e = be turl lgrth E = the errr ter T = blute teperture, degree Rke = pecfc hudty, gr f ter vpr e pud dry r. Equt f the e fr ere develped fr the per dex, 'l, ut f pud pllutt per, pud thrut. tbult f the tt bted by ue f lg trfrt ultple ler regre prgr d t ubequt rever preted tble. Thee dt re reult f e qulty check here pt tht devted fr erler ft ere reved (.e., pt th lrge redul errr ere elted). Re fr the utler ere ught d fud e ce.
* ' L (-- <f "" r- rj c t r r- r <* r > u -l v -<r r <} r -- - r <t ~* tn <r r -d" u-l <r 5 r r <t <r <- r -* \ r» C r r (M r r r (N cq M \ cq M <f t r-. r- <t r v r <j- r- N r r r N r r*~ r r~». r-~ \ r r r u- -* N N N r <r N r r. v N vd <f r r r C -- ) N <> N «. r r- vd <r <f D rg -t x» -ct \ < <t r t>. r- r N r r vj r N r <f r rj r r- r- -- N r r r r N x r- N N C (N C N N v r <f r v l r t N r & r <r <} r <t r (N r N N <r N r r N N <} ND v v r N r r <f r r r r «< <r * (N N r rm ' h u UJ M rj fc Q c, M <; u -, tl W C u h P., UJ Q, < u K UJ W r-l (, rj J M CL, Q CL, C M < u t < W U, U, U- UJ U- r» r-. r- r r» *") "-J -) "-j r U U-, [, U U- r~- r >. r h. r r-~ r-«u. u. *- r) -) "-J!-) U W U UJ UJ u u u u u uj uj uj uj :J u u, CL, p..., u u u u u M CL,! p d, C u u u u UJ UJ u u W W UJ u u Ä Ä Ä
f * f r >* v r <t r v v v r zl > CT C < N r-t >- fnl (N -j r r»- r vd <r r v N «c N -» r r PQ BQ Q v tn fl t -* r- t- r» fv) C C -( C r - N t r r» r f-~ vrt -* (N (N (N c c r rö P-J C C C C C C C C <r <- v N r r N N- > v ll N >» C v- r r- vj r r~. r ( N N N C N C r vr r- N C C N N N --t C C -* r>. f N N r. N N -* N r N h» -tf N N -- r Ulr r NC r v v <- r r C r N C C N N <r c <r «- - N r r - tn <r r -- N N N -J r C r < N C N C N r r r- r r r r (M >* r(m r N N r vß N N C N N N r- N C <t C vt <N C N cm- r r c vr <r v r-v (M r t N C N -* T c N r r cm» "' <! C r N r-. N N-JrC >- r>. vr N r C N C t «C C * N (N (M N C N N f - c f>. N N t - r N <t (M ~- C T N c - - N N N C vjtr r r N c W P Crt W W M W M,-), rj P Ö >< 4 PL, >< Q D Pj «Q CU 6 < PK M <: M u M <; u td C/l u»j P u h cd C/ U W W M JP x J, Ö >< p* < M< M < U rj M C) C C r r-» r» r C C C c C t>» r~ t- r-» t C C C C C r r-> r r. p~ 55 fe fe fcl tt, [l f, JL fe pl, fu [ W <-:'->'-) N ->>-> -> " <-> -)'-)'-) T-) rj hj P-l vu CL, eu, CL, u tu u u eu p, x fc P- PUPUPLCU ' t p Z Z Z Z Z Z Z.* ><...,.. Q _ Z Z Z
The utlty f thee tt tfld: () By ug the the gerl equt, predct equt fr the repectve per ettg vlble; d () t prvde ethd f ug bt T d t crrect El d P t tdrd dt. reve f tble ugget tht fr the TF-P ge the ceffct fr hudty td t pprch e tt vlue ver the per ettg fr N. N El pprche.ü7, d N P pprche Ü.. The hudty ceffct fr the,57-4 ge ere develped grphclly cr ge per, ppdx D. Regre ud crrelt july l the CU euret fr the TF-P ge dcted hudty ceffct (K) f pprxtey -. fr C El d -Ü.6 fr C P. lr ly f the C euret fr the J57-4WB ge fled, hever, t fr the extce f hudty crrect fctr. bt teperture depdt del d crrect fctr th d thut hudty ere ppled t the TF-P dt be (ppdx ). bt teperture crrect fctr thut hudty gfctly lered the tdrd devt f the crrected dexe d further lered the tdrd devt f the dt be cpred th the rgl fctr cludg hudty t ll per dt except dle. Bed thee reult, the C hudty fctr fr the TF-P ge ere elted, d the ttl effect ere ged t bt teperture. reve f the errr vlue h tht fr C d N, the equt utlzed dt tht ere th perct r le f the repectve equt yeld. The errr vlue tted re reult f trfrg fr lgrthc t ler cle d re e tdrd devt gtude. f rl dtrbut f dt ued fr the lgrthc tte, the lt detered by the errr ttet t pprxtely 6 perct f the dt. Ttl hydrcrb euret fr the TF-P ge h ]rger errr ter, epeclly fr the pprch ettg. The TF-P ge TC crrect fctr rglly develped ere reved reult f the errr f detert. Prrly, the dfct vlved elt f the hudty fctr, becue f quetble crrect uder hgh hudty dt t pprch per. The hudty fctr l elted t dle per, ce the ll fctr th the errr f detert. Regre lye ere th perfred t g the ttl effect t the bt teperture crrect. The TC tt preted tble ere develped th b d re therefre ly teperture depdt. Multple regre ly l the C d TC euret fr the J57-4WB ge dcted tht hudty d bretrc preure ere t gfct. The C d TC euret fr the.57-4wb ge ere lyzed by ple regre ly, ug ly bt teperture the vrble. uber f cercl turbe ge crprte fuel trl tht regujte dle per t tt thrut r tt EPR. Th feture ccplhed by vryg ge rttl peed (RPM) th chge bt teperture. The fuel trl f ge uch, the TF-P, JTD, d JTÜ- g hve th feture. The fuel trl f the J57-4WB ge, the ther hd,
regulte dle per t tt hgh rtr peed (N) d, reult, vre thrut. gfct dfferce ext the thetcl del d crrect fctr fr the t ge t dle per. Crrect fctr fr JTD ge e t dle per ere develped fr the.j57-4wb ge euret. dt be etblhed t tt per dt (EPR), tg f elected J57-4WB ge e euret fr l dle fr l bt teperture d fr hgh dle fr hgh bt teperture. Vrblty f the N euret fr the J57-4WB ge requred the ue f grphcl ethd cr per fr detert f K hudty tt. The hudty K tt fr the J57-4WB ge euret f N El d P level ere relted t crbutr let teperture (t) t vru hudty level. The frt ere th cr pltted gt hudty, d K tt ere develped by fttg equtj 6 t the reult. The grphcl lut fr K cluded ppdx D. The N dt be fr the J57 ge crrected fr hudty, d the bt teperture effect ere detered by ple regre ly. The bt teperture d hudty crrect fctr fr the TF-P d JTD turbe ge e re preted tble d. The crrect fctr re defed the prduct f C C, teperture crrect te hudty crrect. Cx d C re clculted fr the rt f the thetcl del (equt 6) fr the El r P t tdrd dt f 59 F d zer hudty t the del fr the teperture d hudty dt f the dy. The crrect fctr ere clculted fr the TF-P d J57-4WB ge ug the vlue fr the del cted th tble. Teperture crrect ceffct ere detered by lvg equt 7 d. K/5.69 C T = LL g (7) K/T u; K L e The tercept tt, K, ccel, d K detered by crrelt d regre ly. Ctt K4 reult fr lvg fr the tdrd teperture. C T K/T e () The crrect fctr fr hudty detered by equt 9 d : -M) C =B_? - (9) L K -K()
The tercept tt ccel d lvg fr zer hudty, e t the zer per, e, d K egtve. % = «() TBLE. MBENT TEMPERTURE ND UMDTY CRRECTN FCTR FR TF-P TURBFN ENGNE EMN. DEFNTN F TERM.l C-j: Crrect cetfct fr vrt bt teperture fr the tdrd f 59 F.. CJJ: Crrect ceffct fr vrt hudty fr the tdrd f zer.. e: Be turl lgrth.4 T: bt teperture blute degree Rke - (t F + 459.69).5 : bt pecfc hudty gr f ter vpr pud f dry r.6 EQ: E dex crrected (El x Cj x C\), pud pllutt per, pud fuel.7 Pc : P er dex crrected (P x CT x C). pud pllutt per, pud thrut. DLE PWER EMN NDE Fgure. C T : (N x ) =.99.9/-. C: (K ) = e.7(!) 7. C T : (C) = l- 7 -* 7. y e56.56/t.;:, (C) - g-. DLE PWER PWER NDE (P) 'l.'e fdl
B PUWPPPWWy.' T '!! r.. u -Z TBLE. MBENT TEMPERTURE ND UMDTY CRRECTN FCTR FR TF-P furbfn ENGNE EMN (Ctued) Fgure. C T : (N ) =.96e l-6/t 5. C- (N ) = e - () 7.775. C T : (C) = e U6.6/T.4 C T : (TC) = e 69.5/ T 5 4. PPRC PWER (EPR.) EMN NDE 4. C T : (N x )».474 e l6-9 7 / T 4. C : (N ) = e.7() J 4. CT: (C) = t 9 - (. V e./t 9 4.4 C T : (TC) = 75595. u e946.7/t 5. PPRC PWER (EPR.) PWER NDE 5. C T : (N x ) =.4795 e 5./T 5 5. C : (N x ) = -) 5. C T : (C) = l.596 e9.54/t 5.4 C 74. 5 T : (TC) = r.. r...,. e966.75/t 6. CRUE PWER (EPR.76) EMN NDE 6. C T : (N x ) *.6544 e 7-54 / T 6. C: (N x ) = e.7() 5 6. C : (C) = - 4-5 --ll 7 T V 4 9 ' e 55.75/T
TBLE. MBENT TEMPERTURE ND UMDTY CRRECTN FCTR FR TF-P TURBFN ENGNE EMN (Ctued) 7. CRUE PWER (EPR.76) PWER NDE 7. C T : (N x ) =.Ü4 59 e-l.g/t 7. C : (N v ) -.() 7. C T : (C) 95.794 " e 7"6.99/T 5. MMUM TNUU PWER (EPR.95) EMN NDE, C, (MÜ ).Ü45 e 54.9/T. C : (N x ) = e Ü.7() 5. c r (C) - _4.5, 54.4/T 9. MMUM TNUU PWER (EPR.95) PWER NDE 9. C T : (N x ) -.65 e - 4 / 9. C : (Nü x ) = e.u(l) 9. C T : (C) = 9 v öbu - C55.9/T 5. TKEFF PWER (EPR.5) EMN NDE. C T : (N ;< ) = U.Übö,..9.7/. C : (N x ) = e. 7 () 7. C T : (C) = 9.697 tl9./t. TKEFF PWER (EPR.5) PWER NDE. C T : (N x ) = Ü.579 e5.75/t. C # : (Nx) - e.(). Cr, (C) 4.77.9.7/T 5 4
'''t. j ft TBLE. MBENT TEMPERTURE ND UMDTY CRRECTN FCTR FR JTD TURBFN ENGNE EMN.) DEFNTN F TERM (ee tble ). DLE PWER EMN NDE. C T : (N ) =.5 e 97.47/T. C : (N ) = Ü.7() Fgure,'.. CT: (C) = - 4 e7.5/t.4 CT: (TC) = 54_-6jtl u e7.54/t. DLE PÜUER PWER NDE 4 7. C T : (N ) =.9577 e 4.5/T 6. C : (N ) = e.(). C T : (C) = K. 4 C T : (T-M 4. PPRC PWER (EPR.) EMN NDE 4. C T : (N ) =.97 e 769.4/T 4 4. C : (N ) = e.gq7() 7 )6.9 C T : (C) -%f% 6.45/T e r rt -. 4 4.4 C T. (TC) ö/t 5. PPRC PWER (EPR.) PWER NDE 5
TBLE. MBENT TEMPERTURE ND UMDTY CRRECTN FCTR FR TURBFN JTD ENGNE EMN (Ctued) 5. C T : (N x ) =.49 e 64.9/T 5. C: (N x ) = e.() Fgure 5. C T : (C) =,955 e4./t 6 5.4 C T : (TC) = J.. 6 e4.94/t 6. CRUE PWER (EPR.76) EMN NDE 6. C T : (N x ) =.456 e]64.6/t 4 6. C: (N ) = e.7() 7 6. C T : (C) =-J46_ t,74.957/t 6.4 CT: (TC) =. 5,Q 4 ' e67./t 7. CRUE PWER (EPR.76) PWER NDE 7. C T : (N ) =. e.69/t 7. C : (N ) = e Ü.() 7. C T : (C) =796._7 T e465.ll/t 7.4 C T : (TC) = --- 7-5 6 e7./t. MMUM TNUU PWER (EPR.95) EMN NDE 6. C T : (NÜ ) =.564 e 9./T 4. C K : (N ) = e.7() 7. CT: (C) =J : /T 6
TBLE. MBENT TEMPERTURE ND UMDTY CRRECTN FCTR FR JTD TURBFN ENGNE EMN (Ctued) 9. MMUM TNUU PWER (EPR.95) PWER NDE Fgure 9. C T : (NÜ ) =. e4.7/t 6 9. C : (N ) = e.() 9 CT- (C) = 657 - y,j LT {LV) - 4559.6/T e 9.4 C T : (TC)=f6/T. TKE-FF PWER (EPR.) EMN NDE. C T : (N x ) =.4 e 69.6/T 4. C : (N x ) = e.7() 7 C (C) = 5-5. C T. (C) e 4>746/T. TKE-FF PWER (EPR.) PWER NDE. C T : (Nx) =. el95.9/t. C : (N x ) = e.() 6. C T : (C) = 56.67 e4.5/t 7
MGNTUDE F CRRECTN FCTR. The bt teperture d hudty crrect fctr fr the TF'-Pl d J57-4WB ye e ere lved fr the teperture ceffct (C) d th lved fr the hudty cr.lfct (CJJ). Wh lvg fr Cj the hudty v.'. held tt t zer, d h lvg fr Cj, the teperture held tt t the tdrd f 59 F. Cf fr El d P pltted fr ech pllutt cpte ge per llutrt fr the fve per dt h fgure, 4, 5, 6, 9,,,,, 4, 5, d 6. lr curve N El d N P fr C re h fgure 7 d. The chrctertc d gtude f the crrect fctr«re pprt. EMN VRBLTY REDUCTN FR CRRECTED TF-P ND J57-4WB ENGNE DT BE. The e euret fr the TF-P d J57-4W]) ge ere tbulted ppdx, bth ucrrected d crrected fr bt teperture d hudty. The e-tdrd-devt vrblty f thee euret re tbulted tble 4 d 5. y be ted, the crrect f the euret prduced gfct reduct vrblty. Vrblty reduct f the dt be th pplct f the crrect fctr trkg. Bed e tdrd devt, vrblty f the TC El reduced 4 t 66 perct. Vrblty f C El lered 5 t 6 perct, d N El up t perct. extg dt be fr JTD- ge cluded ppdx d the e-tdrd-devt vrblty tbulted tble 4. The JTD ge e euret ere crrected fr bt teperture d hudty t detrte the pplcblty f the TF-P crrect fctr. y be e tble 4, the rerluct vrblty f the JTD- ge crrected e dce pprxtely equl gtude t the reduct f vrblty f the TF-P ge e dexe. Becue f th lrty, the fctr y be utlzed t crrect the JTD ge e fr bt teperture d hudty effect.
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-«llllll..>v>m<l> TBLE 5. VRBLTY REDUCTN F CRRECTED J57-4WB ENGNE EMN DT BE Ucrrected L Crrected El Crrected El e tdrd e td rd Reduct E Devt De', /t (Perct) C DLE. _ TC DLE 5.4.74 (4%) N x DLE..5 (7%) C l?p.4. (6%) TC PP.4.67 (4%) N x PP.4.6 (%) C CRUE..76 (64%) N x CRUE.7.7 () C MC '.5.66 (64%) N x MC.6.5 (6%) C T.7.4 (44%) N x T..5 (%) 4
" UMMRY F REULT Exhut e euret ere cqured fr t rcrft turbe ge (J57-4WB d TF-P) t etblh crrect fctr fr rlzg bt teperture, hudty, d bretrc preure effect the gert f e. The xed-fl TF-P ge dfed t crprte fxedre exhut zzle t ulte the phycl chrctertc d the perfrce f the cercl JTD ge. J57-4WB turbe ge utlzed the tet vehcle t ulte the phycl chrctertc d perfrce f the cercl JTD- rcrft ge. Tetg ducted t tke dvtge f the bt ether dt ccurrg turlly durg the ter thrugh uer e. The e dexe ere lyzed fr bt ether effect by ptultg thetcl del tht ere thught lkely t chrcterze prduct f e. The del ere th evluted by perfrg crrelt, trfrt, d ultple regre lye. Mdel ptulted d dcrded cluded ler d vere thetcl reltrhp. ce phycl chetry decrbe the behvr f checl rect rte lgrthclly verely prprtl t the blute teperture, t th equt tht utlzed t chrcterze the prduct f geu e. The r,del evluted, d the equt tt ere detered by lg trfrt ultple ler regre d crrelt ly prgr. The crrect ceffct ere th detered fr the rt f the del fr tdrd dt, t the del fr ctul dt. The euret dcted tht the fctr fr bt teperture d hudty prvde gfct d dequte crrect f e. lthugh bretrc preure y hve gfct theretcl effect e, the rge f preure vlble th the dt be ly perct, d the tet prcedure cpted fr vrt. bt teperture d hudty crrect ceffct ere etblhed fr ech f fve ge per dt: dle, pprch, crue, xu tuu, d tkeff fr t cle f rcrft turbe ge. eprte fctr ere etblhed fr the vru per dt, ech t tt preure t the let t the cbut chber. The gfct gtude f the crrect ceffct trkg. t bt teperture f zer, ceffct g l., d t teperture f " F, the ceffct re hgh.4. The extree crrect ere requred fr the TC dexe. The crrect ceffct ere evluted by pplyg the t the TF-P d J57-4WB ge e dt be. The reduct euret vrblty gfct. extg JTD- ge e dt be crrected ug the TF-P fctr. The reduct f JTD- ge e euret vrblty crrected f pprxtely equl gtude t tht f the TF dt be fr hch the fctr ere etblhed. The TF-P 5
e crrect ceffct ere therefre dered pplcble fr crrect f JTD ge e. utble dt be uvlble fr tetg the JTD- ge crrect fctr develped fr the J57-4WB ge e euret, but ce the geetrc d perfrce dt f the J57-4WB cbut chber ere lr t cbutr dt f the JTD ge e, the crrect fctr ere dered pplcble fr crrect f JTD ge e. CLUN. The thetcl del develped t decrbe the e chrctertc fuct f bt teperture d hudty f t cle f turbe ge exhbt gd crrelt f dt h ppled.. The crrect ceffct etblhed fr the TF ge ere dered pplcble fr crrect f JTD ge e.. Fuel trl chrctertc (trl t tt thrut r tt peed) c fluce e utput t dle per, d thu crrect fctr fr the pecfc dt ut be develped.. The crrect fctr develped fr the J57-4WB ge d dfed t dle per ere dered pplcble fr crrect f JTD ge e. 5. bt teperture the dt vrble ffectg the prduct f e. udty hd gfct edry effect the gert f trg xde. 6. bt teperture d hudty effect the prduct f e re dered t hve be jr urce f vrblty pt vetgt. 6
REFERENCE. Cle r dt f 97, Publc L 9-64, 9t Cgre,.R. 755, Deceber, 97.. Mcd,. T., ly f rcrft Exhut E Meuret tttc. EP Techcl Reprt N 57-K-.. luher, G. R., lytcl tudy f Mxed-Fl JTD Exhut E Meuret fr Fxed Prbe Requret, F Techcl Reprt F-RD-76-4. 4. Klueg, Euge P. d luher, G. R., Exhut E Prbe vetgt f Mxed Fl Turbf Ege, Techcl Pper Preted befre ctber 974 Meetg, trut cety f erc, Ne Yrk, Ne Yrk. 5. rl, V. J., Eler, D. C, Mrhll, R. L., Effect f pertg Vrble Geu E, Techcl Pper Preted befre ctber, 975 Meetg f r Pllut Ctrl ct peclty Cferce r Pllut Meuret ccurcy Relt t Regult Cplce. Ne rle, Lu. 6. Ctrl f r Pllut fr rcrft d rcrft Ege, Federl Regter, Vlue, Nuber 6, Prt, 7 July 97. 7
PPEND TF-P, JTD-, ND J57-4WB ENGNE PERFRMNCE WT BERVED ND CRRECTED EMN NDEE -/
PPEND LT F TBLE Tble Pge -l TF-P Ege Perfrce th berved d Crrected - E dexe t dle Per - TF-P Ege Perturce th berved d Crrected -4 E dexe t pprch Per - TF-P Ege Perfrce th berved d Crrected -6 E dexe t Crue Per -4 TF-P Ege Perfrce th berved d Crrected - E dexe t Mxu Ctuu Per -5 TF-P Ege Perfrce th berved d Crrected -ll E dexe t Tkeff Per -6 JTD-l Ege Perfrce th berved d Crrected - E dexe t dle Per -7 JTD- Ege Perfrce th berved d Crrected -4 E dexe t pprch Per - JTD- Ege Perfrce th berved d Crrected -5 E dexe t Mxu Ctuu Per -9 JTD- Ege Perfrce th berved d Crrected -6 E dexe t Tkeff Per - J57-4 Ege Perfrce th berved d Crrected -7 E dexe t dle Per -ll J57-4 Ege Perfrce th berved d Crrected -9 E dexe t pprch Per - J57-4 Ege Perfrce th berved d Crrected - E dexe t Crue Per - J57-4 Ege Perfrce th berved d Crrected - E dexe t Mxu Ctuu Per -4 J57-4 Ege Perfrce th berved d Crrected -5 E dexe t Mxu Ctuu Per -ll
r PPEND TF-P, JTD-, ND J57-4WB ENGNE PERFRMNCE WT BEKVED ND CRRECTED EMN NDEE Ege perfrce d e euret fr the TF-P, JTD-, d J57-4WB ge t ech f fve per dt re tbulted tble -l thrugh -4. Cprer let teperture, hudty, d bretrc preure re cluded t prvde dt be fr pble future crrelt ly. The clculted e dexe. El d P re tbulted. The e dex l crrected ug the techque develped th reprt. -l
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f- ~>MW PPEND B EMN NDEE ND MTEMTCL MDEL TF-P ND J57-4WB ENGNE. N x NDEE RE CRRECTED FR UMDTY tv /
l' ' PPEND B LT F LLUTRTN B-l C E- -TF-P Ege dle Per Pge B-l B- C E- -J57-4 Ege dle Per B- C E- -TF-P Ege pprch Per B-4 C E- -J57- Ege pprch Per B-5 TC El TF-P Ege dle Per B-6 TC El J57-4 Ege dle Per B- B- B-4 B-5 B-6 B-7 TC El TF-P Ege pprch Per B-7 B- TC El- J57-4 Ege pprch Per B-9 N x El- TF-P Ege pprch Per B- N x El- "-J57-4 Ege pprch Per B- B-9 B- B-ll N x El- -TF-P Ege Crue Per B-ll B- N x E- J57-4 Ege Crue Per B- N x E- TF-P Ege Mxu Ctuu Per B-4 N x El- J57-4 Ege Mxu Ctuu Per B-5 N x El- -J57-4 Ege Tkeff Per B- B- B-4 B-5 B-l
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PPEND C CRRELTN CEFFCENT, NLY F VRNCE VLUE ND CEFFCENT FRM REGREN NLY C /
PPEND C LT F TBLE C-l C bb/l. lb Fuel, dle Per, EPR. TF-P Ege C- C lb/l, lb Thrut, dle Per, EPR. TF-P Ege C- C lb/, lb Fuel, pprch Per, EPR. TF-P Ege C-4 C lb/, lb Thrut, pprch Per, EPR. TF-P Ege C-5 C lb/, lb Fuel, Crue Per, EPR.76 TF-P Ege C-6 C lb/, lb Thrut, Crue Per, EPR.76 TF-P Ege C-7 C lb/, lb Fuel, Mxu Ctuu Per, EPR.95 TF-P Ege C- C lb/, lb Thrut, Mxu Ctuu Per, EPR.95 TF-P Ege C-9 C lb/, lb Fuel, Tkeff Per, EPR.5 TF-P Ege C- C lb/, lb Thrut, Tkeff Per, EPR.5 TF-P Ege C-ll TC lb/, lb Fuel, dle Per, EPR. TF-P Ege C- TC lb/, lb Thrut, dle Per, EPR. TF-P Ege C- TC lb/, lb Fuel, pprch Per, EPR. TF-P Ege C-4 TC lb/, lb Thrut, pprch Per, EPR.- TF-P Ege C-5 TC lb/, lb Fuel, Crue Per, EPR.76 TF-P Ege C- C- C- C- C-4 C-4 C-5 C-5 C-6 C-6 C-7 C-7 C- C- C-9 C--J
jfß-~*~ u >\'\»....,.,! tf* C- LT F TBLE (Ctued) Tble Pge C-6 TC lb/, lb Thrut, Crue Per EPR.76 C-9 TF-P Ege C-7 TC lb/, lb Fuel, Mxu Ctuu Per, C- EPR.95 TF-P Ege C- TC lb/, lb Thrut, Mxu Ctuu Per, C- EPR.95 TF-P L'ge C-9 TC lb/l, lb Fuel, Tkeff Per, EPR.5 C-ll TF-P Ege C- TC lb/, lb Thrut, Tkeff Per EPR.5 C-ll TF-P Ege C- N lb/, lb Fuel, dle Per EPR. C- TF-P Ege C- N lb/, lb Thrut, dle Per, EPR. C- TF-P Ege C- Nx lb/, lb Fuel, pprch Per, EPR. C- TF-P Ege C-4 N lb/, lb Thrut, pprch Per, EPR. C- TF-P Ege C-5 N lb/, lb Fuel, Crue Per, EPR.76 C-4 TF-P Ege C-6 N lb/, Thrut, Crue Per, EPR.76 C-4 TF-P Ege C-7 Nx lb/, Fuel, Mxu Ctuu Per, C-5 EPR.95 TF-P Ege C- N lb/, Thrut, Mxu Ctuu Per, C-5 EPR.95 TF-P Ege C-9 Nx lb/, Fuel, Tkeff Per, EPR.5 C-6 TF-P Ege C- Nx lb/, Thrut, Tkeff Per, EPR.5 C-6 TF-P Ege C-l
f PPEND C CRRELTN CEFFCENT, NLY F VRNCE VLUE ND CEFFCENT FRM REGREN NLY DEFNTN F TERM. The crrelt ceffct repret the prprt f the ttl vrt f the e dex expled by the cted vrble. The ultple crrelt ceffct qured repret the prprt f the ttl vrt ccuted fr by the ftted equt. The F vlue ued t tet the "gfcrce" f the ultple crrelt ceffct qured, here the degree-f-freed re fr the uertr d N- fr the dtr d N ple ze. Cputed "t" vlue the rt f the regre ceffct d t tdrd devt. t ued t detere f t regre ceffct dffert fr zer. Prtl crrelt ceffct repret the prprt f the ttl vrt f the e dex expled by the cted vrble hle the ther vrble re kept tt. Regre ceffct re the vlue fr ultple regre equt del. The lg trfrt thee tble re t the be. C-l
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M, ppp PUWWW f*) " P - (N (N -4 C j * g U -N ' ( r t t k. u.. k. C 5 C -T CJ 5 65 K V! *- >, fc. K >, ffl e c c u. < t. tl < K '/ C C '/ -4 «fc - > «> fc. t < - t < : r C U - e -< e x - j C-
rr b C üe cr e u C - «*J l «ue «- V u u 5 z M r, ff» «c r* c f- -< fm k. «u t k. *»- r * < ( h' u. u u (N t- C r. c C tr. t - r- > ( > W (B C c u. fl «u c r- «C «J W «*) -P«tfl - U b tfl >> tg - (B ft) «> «> t- ffl C M C U. u < - < - c F-l fc ff- * < > \D ~4 ** * r~t C (- 6 -. DC 5 e C-4
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PPEND D GRPCL LUTN FR K. UMDTY TNT FR N x E--J57-4 ENGNE -
PPEND D LT F LLUTRTN Fgure Ü-l N x E veru Cbutr let Teperture pecfc udty t Gr per Pud f Dry r Pge D-l D- N x El veru Cbutr let Teperture pecfc D- udty 6 t Gr per Pud f Dry r D- N x El veru Cbutr let Teperture pecfc udty t 5 Gr per Pud Dry r D- Ü-4 udty Ctt "K" D-4 D-L
FGURE D-l. 4 5 6 7 CMBUTR NLET TEMPERTURE - F Nx El VERU MBUTR NLET TEMPERTURE PECFC UMDTY T GRN PER PUND F DRY R 76-6-D 9 D-l
FGURE D-. 4 5 6 7 CMBUTR NLET TEMPERTURK - F N El VERU CMBUTER NLET TEMPERTURE PECFC UMDTY 6 T GRN j PER PUND F DRY R D- 9 76-6-D
FGURE D-. 4 5 6 7 9 CMBUTR NLET TEMPERTURE - F N El VERU CMBUTR NLET TEMPERTURE PECFC 76-6-D UMDTY T 5 GRN PER PUND DRY R D-
L Z u Q g M t N D-