CheatSheetPropulsion

CheatSheetPropulsion - CHI 2.3510 3 76N=)—w CD“ 0‘95...

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Unformatted text preview: CHI, + 2.3510, + 3. 76N=)—w CD“ 0‘95 H30 + Lil-75 0.. 1' ".09 N‘ Eeqc‘tarr'ts (25°C) 1 Ni: Hf: Ni “f1. 5?; T— 7; N; f; i C H._, I 9353 9353 a o__ 2.95 o o a u; ".99 o 9:: . c: 4.58 234.191; CatI i 49.1522 493,522 5:3 51.: H o 0-95 41m!!! - 1295736 up. a 39' is a“ (-4?! 0 a us, a 50.3. N. “‘09 a o 3!. 5r. 359.9 4.2315? W Q = 2;.— N; [fif+ C, (T—TQ] — % NLEE; me—T-i] o -_- _ 623,257 4- 490.4131“ _- 9558 — D 1;: r587 K 2—14. Find lille (lama (Emperatllm at thc pmducls m cmbualiul ofltydrcgci] 31nd mygzu whose composition and average specific lmts am: given in Ilia tabla bdcm. Thai-wants calm the adiabatic Dumhliliun chamber at 250 K. In Ihi5 llble. Cnu i: (hi: met-aw radar-31mm- heat 0.! the weapon-en: between 293 K ml the Elam: hempcmtum, c, is up: average ma! 59min: lam «I this ullllpflne'llt hawnm 350 K and m K, and if it ll- heal. of [wmafllclll at 7.98 K in kahnol. Comm mi (—7,, C, 5; Cl, mm L63 32.1 0 II. a mu 12 I; 296 0 O mos-i my +2451“ H lllln in o +2159!) ml 0 m 13.5 + 41,870 mu Ijlz 4821 —21I,81‘J Q20 _ 15:43:; + guifm[z—n)-gzluta grimy) A H,+ BO, —— 42-st 0. + 0.3m H. -r- 9.054 a +9.»: H- .t-zuss on 4- L532 tho H balancing: A: 2.090 D bah-ice: 5: race 2-11. [I has been proposed IIul Liqllkl'nitmgcn (LN)! be ounsidetul llic “fl-cl” not a new kind oil imlpctlluli'ng clip)“: that upclm in steady flow and pwducu shalt Fir-Mr. Until: inequaliqu angina; this augfait—unfiefgg hc_a_t iglmerM-_ rim with “W mmosphelc. Th3 engine isbejlg Hand «I an Intel on : 5min"- at'y Inst bed. The :ullhilrnl air is :1! 1w kl‘d and 300 K. ‘rtig LN. i.». supplied to the ar- gine in Ilw slammed Humid slate at 77.1 K (1 atm}. 'l'lle ulllulpy of waer- tim at mat malicrmure ls)“ - 198.6 km. For simplicity lite swirl: heat of njlmfin WWI (in this lempetatute large 77—100) K) may be taken as u,- iflklflz - K —cma|anl. The nilmgeu haves ll: :ugim al ambielll WWW (1 film}. Hue amhicnt taupemtumis IST. in. Ta mau'miw wrl output, what simulr] lie the (xii tenlpclatuu: til the nitrogen swam? h. Whal is [M minimum specific marl (LUIS; ad'LNi) Ilut tuukl possibly be. [3.53de by such an amine? shad: flan-J r. _ ac»: Amiieuf':gln Q“. “(—4. - 5 1“ l‘“ : Gear-ng = "WM-“J =' “3 [hfl‘F Cpf‘fi-T-J] z“ u...- $ n». (srso =41? + can; «spa/J £5.35: egg. — if: wqm-T.) 1 g T(§z.1+€r‘-¥ +9) -"-es-"P("r""'3 h.- ‘ T shun! be as his!- M rmi‘fi or 4: m .1 s e t T3. but 4: £25.! 3'0 T 5 T2" Ems; g; hfirg? -1) +cP(-I1:l"\-l+—T— —T.. +11) 1:“ require maxim-- a‘n (rs-“%‘— #73) Le. I; _1=a ‘1': - Ti TI. ——_ Maximum F‘ssible specific work = his (FE-*0 +‘PTJ(¥A-% "all? +1) ‘1 lamefiu) + :(n!)(§%§£"§% " W5“) axe 6%)“ ..-. 756.3 2—15. OM. lanai nl miislmnd at firms-plka prawn tom K. What is llw. --- - 2mm: Hawaii-city. {2} Mad: number. (Jimmie. and {1} am inn-Tim ' Rmcfanfs — _ 2—I6. A hydrocarburl fuel Mme cmupwiriutl may be Emmi:qu by Cu, bums N I-_ 5;: CT“; Na ‘7 c. N; CPR; wilh 30% excess air 10 ml. 1 producl lemper‘alur! of 2m K. Al this tem- anltum the mole {actions of Illa diwizliun products 0H. 0. it. N0. and 0‘ 5 a 32 _3 g 3 2.3 N an: allvct'y small. m, m..- a. 10—100 pails par million NO is a sitti- H z o 296 2 55. 2 our: rmimnmctltal macaw-u. Estimalc the: equilibrium communitian 0‘ ND 9. ‘ 0 “fl—2‘3" pm at lb: about: lemplxutum assuming lhat Ihc calculations of N; f 0;.Il10nmd CD; are tile slot: as il no dimiminn had taken place. Tlll: 9-9444: 5 ccpl‘iibtillm mum fur a; (LI-009 o 3“ a O 3. 6 6 H1 0"” o .329 a I.“ 43 N: l 0,:th a agglu- “33w: 2.0.9 13,238 L I? meisfl=e1mlatII'flJKitisfl,?:"“"J. H am, 1,5) 0,3 1,," 33.554 2. :8 Tho aquili‘hrinun cmmlim at no at 1000 K can be stn to ht OH a_:33 4" '70 33‘s s’ifi‘: 7‘ 8; prulliluiule lillflfiiflf rapid (flu-HIE Gin-(II: Icormbustinn '15:: _ 1 ‘2 _3“ £_ 5 I s— mump,|nl lu augastu-ne l-MJonwllll H10 2‘”: s 7 H 7 WS— 9 as high :mnpmauma does no: halt: (in: lo levell to N2 and 0;; il tum to be - ' ’ ' "Ioclnad in" to II: Illilllll': and dischath [mm the :4me in undesimbl’y _ fl _ large mlnlliuns 31 law mmmum. ‘Ihr, equilibrium calculation at hipJI Q: o = A... 319, 095 +93-2W; Tn) — 5’ 3f‘5(25° 2"} lempclalule serum thud»: lo estimahe the Worst lamina cum. 1;: MK con/ml. no dissosraélon: CH, + ms, + 3.76 M,)- Co: + H,o +(Y- gs: + KKYN'Z equiliIu-itlltl I'llillul“. «Imposition ifuniyOO. 0,, and C0; are plesam‘.’ Lflltc presslllewat raised to II] alm. hour would the composition change all Ihail Yr:- I-3 : LS! N; xi. wmlxlulum? At 3000 K llw, equilibrium mm tar the lamina: C0; 1 ma 12 mars; 2430 + 0, H10 5, o .lozz is 0‘ oJ‘fS 0.03;; _ 3 0.1“ KM, “1 $133 aw 2C0; .... 290+ 0., 01};nt fidiffl @wiu. 5m” Ainocictrens P» r, . Co. 1-: Caz, H19. 0, u: “nit-{res atmafi uniting": Kg: :8 9: =74 P CO 0 x and J to. 'Xca, 01 a $7 Nx+ as. :3 2w .E 2 I I M [-2 “‘_ K p" k =& h __ _‘_f‘6 (Ii-#2) 6%,»g; ) " P ? 5:93. = “"1319, at flgoox or. .5 d _:_,. F; a 10”?" Emileng q+ 2290K _@.—+EXFK)‘ = KP P = e l: ‘ 7ft» : if KP 75-”: 7CD; F; 9‘"“‘@.7#95)(o_a¥60) Solve for #- Ey 'l‘rr‘ta’ and 5'70" ,5 0.0060 lip/«M 1 10 :5. Goon P?“ K, F—I O-Jofl‘l- om: 08* signal-:- at monk X x f M 5/) 0-437 7L mm In”. ___ par 11- t 9.961 ' F———_— PC“. = x/Ct-r :91) 0-359 1" a 3’5 11 m m e (a- )(aom) 753: = éAJ/f’u-w o. r79 c7408 3-!— A rim-fed gas cirpands in n iriqionlm rural: rmm stagnath curdilims 'pr. -_-1- MPI. Tu '- ZSIJH K [L1 nmhéenl measure. Ill Ml'a. Given the: :he ¢:- pension I3 15mm. determine II»: Inlle wudilious il'l [be firm] [mai- rrtasa [10-H- llmr dons EM 1_II_'lfil lit-w am: column: IliJJI the [lumen rlrell for; nit-r21 um: Flmfi‘ 'I It: 1-WIFN' m1 rain: 1.- is [.d. and IE1! muscular weight M 3-3. Air {laws lllmlt a [Elifliflcdl coluwa chamber 0‘ diamew 0.3 m an] . 1 IS .90. length 3 ill. Slaimls( um® a N: the lulu and outlet. remix-ct}. The in. [:1 uagmtim Mmpefilulelis law It allll [he illkt slag-lition presume IS [.5 MP3. 5. ll Illa skill [rictl'on wafflch is C, - 0.11M {appmximulnly unil'flrm] E- =-" ELM Pg. I: LII-I» Rn- ‘jm' Mldmutulbuxlimlalnsflaclemflnlw'lll ll‘e inlet Macll mbabeiti: __l_ -“__ a a 3' 'rs auhmrvic and Ill: can't Mach number in Intier What an: all: values at F1 _- a! u- H - 3 5 .5127 7:5 K 5131i: momma" pm...“ at the “it? ll. 1| (wlluxlk‘lt lulu plitu: and (In: Itl::l llr rl::tl:litll'.l '3 film “It: nFJlIil. turn. "awning frictional em, lllld if llte inld Mach mlmbci is 0.5. what i: [luv cm M number? The mhlstim [1W may be simulated by simple. limit! with CDHBHM specific Ilnl nliu. c. ll. in a similar ptublall. tile efltacta o[ combustion and skin [riuilun at the [IuIr at: d at: am: nnler nl "uranium. how Iniglu (hail simulln— 1;, = 1500}: 1" Mad No At E" “= 3?:th r—i news often: be mtlmlul? = JAE. 5' D3- The fluid m1 tan unmade-ad a pcflect gas with 4i - u and flag (m‘pi: #1] #M M-ZQ. 'l'i'emlperczfurre Ea [LL you = 3/63 .-: lc: 3:43- Tr- 1; (Fa) 3&5 (F? f 535???? fizrzg Utiocifj = 259': d : git K 1"; ; lino i-C MI41 Ml = 1 “L = MW (a) rib i-‘° 5 $61009)ch g 0.150 G '77.: "sé From Fig 3‘5: M. = 0.12. = 3.957 r.ll-(o-27fl)m mi- Hufl 'FIOM mice at : F“ =- “ii-iv : almd’fwi?) 5.277: 71+ = ii-rwugitivffii 3 =: 37;} Tflfi—{H— ? 51573)] = Ill-.5:le % = immune]? gfifificfigflif 2%!“ *‘—;—’ M‘) = gum;— oam = 0.3.97 fiat = (:2: is: = Pit-:5 Mt‘li' : m 1": P« ‘= Wait—Vs Lafitte) = 2.2% r“ = Fa”:- P..(_gif') a: rag-ks) - flm‘ == "fig 9% _L 3 3 (03:97)" = ms gt wafizé’v’lWflE mas Em rifle fr 5'92! N- Ill-2' a. :(m-l—l Isl-25‘ “L a“) = l-l—I‘MIS 'J HRH—UH 91+ 4:». 2558 I: 75! = )= 23;“ a: 389% ‘l" ._ 1“ AT‘ .= + 292.3 % - =3: was 0-25“ 359+“ q. _ a. 0 From (1"? 34+. Mlle-101355 Cambined fad—.0... 4m Sac-i=9) 1 i All: H %fljfi+m‘}fgfi + WDFEJ All C4) and beq+-'n3: Winn 1:00 and qcx) spec-"I424 and inf-ha! condifi‘ans i“. A;ng c: (l ob-f'al'n "(1) b _ gfepwl‘sf.‘ Hum-grim! r51 {1?er I'M?" 3. ‘H’ven arr a:de 1nc¢fion 1-: 7;/(l+a;J M1) ,3. RM: 13 H "Hz? (rm. fa=cm+3 M *3: "a? "1 I i=2. e. B. (Print EMF)“ f H— V1271— Mr or i nib—Jr F3: =53. M ff H En? ’ T" H L: W 3-5. A Madl 2 flow [555% Ulme Ill oblique: Shula: slnml and deflect: JB‘.‘ A second diliqnc shock mums rmln the solid wall. Wllai is me. [)3st min amuse: llie [mshuck sysleln? Assume lll'al um is no boundary layzl In! the W": lhal Is. [he now '5 uniionn in each ni. mentimemndmw in; .__. . .. ._ duds. M“: “1' fi"" Rlflgum‘l "3:: W mil-U 3'2le F15 3—lo MI: 2 8- lo‘ crew-0‘ 3—ll sz 3-:10 11: 0.335 Fe“ 3-lz M.=z tee-lo M1: Lg—L {l3 a-lo M.=I-éz a= lo .5 -= 52" 3—H M,=l.ez 5:“, 1:35;: 0.93; 3—l2. Nil-1.6:. 5 __.m M; : L25 f??? _ Be 1:. .__ 04.55 (0.355) : 0.5-7 I ‘t 61. _ J‘- = 3.; fi— Pa! '1'??le 3“ l4-g2 3 _ — v————.—‘,; a .__ = v 3 Fl Fm MILE,“ 05? ugmcl] 2 34. Air was a mum-m duct al Mach J and Hagan-lion colldiliulu 150 K am 1.! Mm ln nu am i: i.er a Fricliouika: emu-tunnel Mucus such Illal Ill: =in Mach nulth in min}. lesidel lit) can: {ll} puma! shock al inla in the die: and (b1 shnlc-fiu: :upemnlll'c healing. Dzlullu'll'. Ill: slag-union hempmllnle and “mum 2| the mil in nrJl nae. Is lllue Rwy m new the ml energy mm: 5mm: him (or be «was: in the ma cam? -—r M1=i 5—3. A given needy flow of : puffed gas in : clonal-mama (Incl is zfielzbed by trim“. For win-sonic HM the wall frictim mflic'm-llt is not very flnfiliUE lo M number and may he. WM maimldy (flu smb-wllul dusts! as ( i, ) u —' 0.045 . C’ vi... lhe Elli! as fnr inmmrlrlsaihl: flow. _ (mil-1e: M: dull: Operas"; wifll an inled thll null-111:1 ur 0.1 and 7 — H. Willi a Reynaldr number in hum dung or Ilr‘I inc m1 MMJ. num bar: are 0.25 i01- une and 0.95 [or lllc: uhcl. Deberminc m: rcialivc plume 3nd. Simle a perfecting live Mach nul'nhe'nl the noseut (be Farina Linc {Iridium and no healing) and u: the m ul die Rayleigh line {liming and no Iridium) is many. The: m ul Ills: him. examples d which an: given in Figs. 1:. and 3 7, is denim-er a urine an wwweiltfim mal— [n'climal circus [wilh m ruling] In“: dlivlcn the Mach nul-nllu II =in la unily. Ml:- would hllmwl Ill me [In- mc ir. wilhmll flbllflgiflg II-l: upsmum values om. and '1'... me lenglll ul pipe wlldcnljr imrcaml'l IL in mower dllcl. friuion in naggiaie liul hearing his wan-d (llc {‘in Mach number in appmam unity. win-l nrilsr happen if llu: Imam-g rule ill mddclll)‘ imam. 'I'd' 5 -= deT-— UdP cl: go .T. diLf(pi—p;msgrubolll. Md l : 1 a? Nair let the nollts mum la la JDTIiI ll sum: inlel mel- gifmmflasdqilngfm duct Small-sax Eklfllllliflblthc new lellltiw = g: - (D 5 ‘ Eangg f’u- clonal- Elgn ,—.. con-lat g) 1; __ & ( if? I JA- 1‘: =cmn‘.’ _r_(l_.l.i__LM:.J= can-'4‘!" Q 1 H- EJM" * Fran-l3) sir =i_d_'r _dM Iieei_g.dmcg -— z "I. P z T W PM 2 d'l' %=—:1.L[%:L;:+] G? we} _-. ' l x * T Hem: w r m... ifr") “it; E "K E ‘35 I. ‘ D L}? C: L): — C}: L/Z, (23 squ “<9 EMT -‘ '2'?+G'I—IJM1('* UNI) @ z u ' , z _. _. ' 1+ ELI M1 tgLIi‘zl-J: .mznmJ (3) “mo fl; n i {F‘W( z ) FM zzr fiftiJM) w 131%: M2,; 3 o thMsi HIKE P Cir—QM Cf .e eta-+5 (Re) (:9 R“. . M E H; —L a e P _ , R C M l{hull-3" D L J“ Tia—PL In“ “at F ’ c 1: CD e 1 —- gun - ’ -c.a _ (as; (En-Q) (“$.31 (ab) P‘Ha‘ — ’r H Him) 10’ “on; 0.2 ill-.53 Fame) $2: 4.4: _cm ,7 ® 0.25 8-‘i'8‘3 £05 336.1 0.2-”. SE 7- :,de amt M 0.2 rig-.53 Ema) p = “um: ’W‘dwr 0.95 0.0?7 we #5 802.3 a. 306 @4 if J. 911* um“ é: a H l! 55 FIR PEZT+"""’ R: Q Hi (p )l 6'3 )1 M; I; or $13: 7 4i: I g TIT: ® (61-6) (9536) Eng) ‘4'“ " ‘ sub 1. IO? moons 0.2 W53 2012? I682 lz.ll 9.22 54:92 "(a fig? = fif— ,lIEL. (3.1 £4.53 Zola [zlé 8.75 0.25 o.zo2. or “" % 5-10- Air in m Kand 1.5 MB uncle will. a Mad: numbemt 2.5 ,usl haul-e n ill min-med by ll normal shock wave. Selling (In: Lumpy d lhe nil equal to we all {big iuiuaJ umdill'wi. dm m: lurkiyl m1 :Fanm Ilneg null puss .uum'qfll Illis l'm‘lial sham paint in a sflalp any“, Mmr— Ind Hmim are SIR and TN], marpeclivcl’y. Lao): for a Harland imusetliou (21 um Ray luin Ind anm lines and 31m um 1his point an»: iepreseenl the um: 06 mc ail ilnlmdl'ady downllluln of lhe shun m. Sim {mm [human] law 06 llemuyuaulics why it is pins“: m have a mini: jump {mm supersonic lo subuollk flow, but not vine was. Tm 1 — 1.4. In manning llluu fins, l'l may be Ildplui ln selecl a series oi super sonic and wbmni: Mach mum: and calculus In all the enlrupy {mom lllc elm leisu'onslllp 5‘er E—‘_lin1—‘l--lnpl. 311w mu (In file Famln Iim (“scrim l... churn-K 3.: I” __ IJME 9 FM, l'. l + (7— IJM‘ 3"". p. ' iii" whens: iur me Rayiel'yl line (beaming> bllI no rrl'cliollj £- _] i- T p M l Pl Hm“ “M fi_(_-FT' . # e 1. I M11». s,_o gewgnfi -gME fiffififi 5"". A SIM!“ of alr Mm Msdl numb-u is 315 suddenly deflected and denial- alud by a plan: nhlil'p: shack mu: originating [m lhe lip ur a “my w. A schla'cmu pim shows lhal (he: have music is a: 45" to the migrant Forward dilwioll ofllrc air. Usilw the normal SIM ulunliulls [m {In enm- punenl of Mach mum perpemulu 1» lb: m, and mwfizhg (Inn \l T the velolll'Iy pamildILufliin‘Lawe gig? mulng 1:: “ll. “lull ' II. II! “ll-mil . . II I Luna: “STOH‘TAMR :- cinSt mmiilnligmow . 1: H ‘ 5 5M! “.25 " gr? “E5394 3W9}!!- 5 .g..—_- £1. ; Ml‘a‘fl % g 42'. 3:”!- I ,, ‘2 P ‘= Pfl+rll°J= 2 Mi. + 7:: _e+s __ Mzn =‘ T-r—"fl ' 1 1; e (E {57] M... — «23+ aylei htEq5® I Mmso-flsi m. 1 An. 3'39? = (I'LE'J Mm m - } = (l*‘é 2)(7{1) —1)-l 26+ 3.9;: T. “'3 Mm H—T——”.n) 1 fl ' 2.5 -‘ . .__—- u 233‘: £33 == game; =%Zz£§r—r.zfit = 0.52.33 age-1 2.707 . a u 1 _ . . «145+ w= r2: = T“: a2: =<1 :1 (mm— m .a r, a a a 12-635 S ‘ l‘f—T‘l" J‘ram Fig. 3— f0 625 :5 ...
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This note was uploaded on 01/23/2012 for the course AOE 4234 taught by Professor Shinpaugh during the Fall '08 term at Virginia Tech.

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CheatSheetPropulsion - CHI 2.3510 3 76N=)—w CD“ 0‘95...

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