he ca” ia” ie Me nean gi, ott Falke omega pi an yep neg EO ea pe PSST eEe ten ET etree Fatma econ emis TA-11 eit et pdf sts Uy al daa #8 (ema of lee hat BOE satan ne Tc SSeS ak tide wero eer SAniccnoee ee Snore SSRI eco eaters 4) iF ie coabustion is ueish and ast ati of Nii acd to Kerosene is deseased 12 45s. detennae: ‘) Moleular sas ofthe combustion prodts 4) Energy rene foo the cmmbston of kg of eroene 1a) Fal tempers of grees (adiabati ame erapeair) Ja) Chanetee veloc © 1) Setrleve Spesfclpule(CrC*/g) assuming chamber presse to be 7 MPa nde [psc are xpd the az tote ambient pesare 00.1 NPD ‘Vey thatthe MI ofthe produ and the final temper of ges have detested. The seas in temperate i ugher ha he seas i MW aad ce the C* and ly of is ‘isiich ae eles dhan tha ives i he preious probe1) Velocity inerement from single stage and Multistage Rocket: Swyle sdoye ee qT csomemtimmine Ue gore m/s eee “oak errand My = (5 Kee ‘Find velocity increment of the payload ‘coeff. Of both the stages to be same. M, = aoe Fe Fabri pn é Hor M,= [Soo Sj s- M,= Mut Me t MP gg = 00 Agree Bele te) GoM Find 8€ Mus buck “a FOIE PG — MLE e lee Fen Seo keus ead = ML = on son (ie ‘ von 7 7 po) py = 4108. Se6 A, = lose fon Undo Km Me = Ieee (BG. WA HAdD Ton - stapes d= Meas caters ne fs aA aagte aa may —+ Me ea fr Ast ste a lS 7 Moy = TSS Gp M Ue B4E~S ww,” Me oe d= Peg loo Serra, Baclese ‘I > Mo, ~lco-¥%, en) = |ssarhy27 fiGor ater Ms) = Ms ict Wm €D ” pe Bet Mae Me Ms = Dow ky € nN DN 2 Uele (=) | a Mey Me pv cttela ( sey [Gow —8FRAT “BEMAE [or hat ety) fus Laka > Mg = ow — MD é-_"s “ oe 3 dur My = ire ey Toon ERA AG BEIAAE - [0 Arg = Alo -ws kg]fen) My = (684. stek | 1.5 va Me 2 le ase Ulo 42 T gare — Jor lé = 014r§ Ce = Mu ma -™L ce 248 AWL4Z —lo Dw Be _ 5 b(t) AV = AX sete (ee ay = CIS t WT [arent 7 ashy| Hicat release from combustion of cryogenic propellants: Detomie the bent peed fm he combsion of hg gid bogs (8) a + bk Ff temperature of 20K and liquid oxygen (LOX) st 80K at 9 mixture ratio of 6. The standard ‘heat of formation of H20 is ~ 286 kJ/mole. The following are the thenno-physical properties Of ead BOX WX = Moct= ao (Fiat bun Properties of H (in liquid and gas phases) egret ama at cee mek Sa so bnbma ret tem utd, he ries fn id og ps Za oper fs cn an bay alk 3 £Ak1CY mM = Met 2 < Wet 2X] ‘Specific heat of LOX: $4. ki-kaol K ‘Specific heat at coustaux presse of gaseous onygem: 29 kVkmol K, Latent heat of LOX: 6800 ki auolMA=6 =” L x Meet ex aC Y MA fy Pee) —a oo 8th | Gos Zo A possOy ek He (dH. (Pp Sowa bur f Lekewhe ck - Gert OBR +S, AT hey77 Ulaacbe) 40-8 + Se(2te -24) (wor ey xb . D> 42% Bey . + 0 812 F G2 LD : =p ° os wo (aw A ke Si Ler a gh otek bush A Fae hs (ood? Fa i bw siv(4s-8) 4 68 t 24(e8 Ip v [soo Le = 1g. 3A x0-bFS « ") ? F.61eg #S ove 4 Ce F . ALEK ES OME = (U-21ES ET ek Tet 8 |Ko tw can) = Lore el] Lm = Que tes | wel = Que = (Yale = Qwo- | : . KF] wide 7 Ugg, 2 ! o ge. d on (Ke ql, haz lo aS, a> (op tt KF3) Kerosene (Dodecane Ci2H2s) undergoes stoichiometric combustion with nitric acid (HNOs) at 25 C, The standard heat of formations of: 4c cuwrarruine Cigtye OHNE, PLEO, ELE cote at HO} cl Gelomersy | = ab <) CO is -112 ki'mole (required for problem 4) He acs me 24 +b @ Corresponding molar specific heats Cy of products (assuming H:0 to be in gaseous phase); O% 3 F120 (eas) is $8 Timole K “ = 2c & COnis 63 Jule K Nois 37 Jianole K COis 37m ese fx tio fon a@ « o 2 ec wk Determine: lo i) Heat generated ii) Stoichiometric Misture satio or mass ratio = a is) Final temperature of gases co aR b= af x iv) Molecular mass of combustion products ©) characteristic velocity C* if universal ans constants §.314 kFkmol K 2fe N Siac 1 Bo any 7 GG Re A asl 5 soe Gy, +t (2 Ho # Ht n, 7 qu Unto S Cec tT Yt Ci, F (ws) Lnto, “7C2) lo, + Jou) te 4EYN, ? oe Ralows yet a2 Lenk Che = List + U4) (-(3he) = Feb SS 70 e (3% t (204) (16) t + ate = Ho EE Ma= > Aly ~ Me) XE),Pere) Hyl0s a q Mee Y | woe Ww) Mk wv raantahy ~ ur} L+ Ut weary (x Fax yp act) ew) aT = grasa xle — ag <0" 1axce) + (geass) + 24 GT UC Te = 200% k) z(iv) weston wen ax PCF el) dort ate) gerne F- 4 (ax “ L (2 tdout EY “ES ey! = or "> et net g/t ye () a = Re es Re SUNY =30r0 ay Tteq Wer wen = tf IY ~n) HED Sp Ej _ twas FD (ax 63) A Cows 8h |p eye oe = Yul lts¢ epee tty4) Ifthe combustion is fuel-rich and a mixture ratio of Nitric acid to Kerosene is decreased to 4.5, determine: ‘ds i) Molecular mass of the combustion products Hrd 3 0% ii) Energy released from the combustion of | kg of kerosene = : iii) Final temperamre of gases (Adiabatic flame temperanire) Cure ix) Chatactenistic velocity C* ¥) Searlevel Specific Impulse (CC */ge) assuming chamber pressure to be 7 MPa, and the gases are expanded in the nozzle to the ambient pressure of 0.1 MPa LP, J Verify that the MW of the products and the final \Gpeste ‘of gases have decreased. The decrease in temperature is higher than the decrease in MW and hence the C* and Ix of this fuel-ich mixture are lower than that investigated in the previous problem Mee UE GD Stes Mood = VX MEL UTES 63K sf Met Tanir £20%) (a okt CAS cage a K= Ae <—fzCu Mee F (LQ l18) Hog — acy fF HO tho FNL CMe F MIM > Co.) Oy Figo F HO KleQothod He e: (L=% 4b OD ° ) t+ pe xiang = 2a + I78 = (qt &) alan 7 aati raking wee eee aa ypa tees - 73)1) molendeg - Sb t Met (Ast(Q tO) Cotto “poeees + Cet F Cur (ax'y) qa et 4ORF OF > as tee pele. . —— CEU (-UL UD up = 5234s) t rH yo ? C8 ES > EO FEEUEKS Mg = ISL + igattey ( -1t1¢) Me = 7 (Ary - 2.) a 26% nLeks — pruw- 1C% = koeCa) ay = MMe [ (5:1 68) 4 Clasryee) alecayaa yt corr 33) = 24t-% pe Se iy cre TRE ge TY = Be 2 al AF (HG oer lees Fen ype a ae 7 men clay ) Gee ss | Ye (Fa ve bs AF sae() Te - CFX CH 2 CFM [BES po yet “Lay UR 29 s[fe he = ol e fe eo tula moa - ous ae CK ISNES LL 21 RS Lone 4 VIS Seras