INVESTIGATION OF THE EFFECT OF LIQUID AND AIR SWIRL VELOCITY AND LIQUID VISCOSITY ON THE HOLLOW CONE SPRAY ATOMIZATION
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1 Anna f h ny f Pşan Mchanca Ennn NESTGATON OF THE EFFECT OF LQD AND A SL ELOCTY AND LQD SCOSTY ON THE HOLLO CONE SPAY ATOMZATON ELYAS OSTAM FATHOLLAH OMM AL MMOHAMMAD 3 HAMDEZA HODAYA 4 Aac: A-a amz d cn amzan a a an f f f a and y d anan. n h dy cnd an anna qd h manan fm an a-a amz cd nn and n a am. A ma ay anay cad md h amzan f a n c anna qd h c a-ymmc danc and ncd n a am. Nmca n h dn qan nd a d an f f cndn a cad na h ffc f h qd-a n nan n h mamm h a and cndn na a nm. y d: Gh a Lna nay Amzan cy S.. NTODCTON hn a qd ncd nd fm a nzz n a ndn a mdm a cnn qd fmd. Bca f nhn nay nay an f aan n ma an hch an- hyca ym c h qd d na a hch amfy dnam and nay dna n a an f d. Th c f h qd a cn f fndamna. Th f ha h a n amn. Th cnd ha h amn fh dna n fn d. Th Ma Sdn Damn f Mchanc Taa Mda ny Than an Eya.am@Yah.Cm Aca Pf. Damn f Mchanc Taa Mda ny Than an 3 Aan Pf. Damn f Mchanc Shahd aa Tach Tann ny Than an 4 Ma Sdn Damn f Mchanc Taa Mda ny Than an
2 76 am E. Omm F. Mmhammad A. hdaya H. c f qd a n amn and hn amn n d f fn z fn fd a qd amzan. Th nzz fm hch h qd mana cad amz and h c f fn d dcd ay md a a ay. Lqd amzan f manc n nm acan ch a f ncn n nn a n nn nda fnac aca ay []. Th ay f qd and h ha cd mch ann nc h caca d f ayh and Sq. F aha f qd h and nay and a ad a fd a cn mnah y Ln [] and y Snan and Mhn [3]. T mn ca f h cnfan cndd h a aaa n h a z. h n anna qd h h a cndd y Panchana a. [4] and h y aay mn qd h cd nn and a cndd y La a. [5]. Panchana a. [4] hd ha qd dc h a nm and h h a f h m-na danc a nm. H a hh ncan h qd nm nca h an f na aa and ccmfna md and nca h h a. La a. [5] cmad h ffcn f h nn and h a and hd ha a cmnan f h nn and a m ffc han a n a n nhancn h nay f h qd h and n mn amzan ha h nn a m ffc han h a. Mhn and Snan [6] hd ha qd can nhanc a h f h na md n n h a nh n a nn-na anay f a n anna aymmc qd h n a d. h h a nh and h h h nn and h a am c-an h h qd. Chn a. 003 cndcd a na ay anay f an anna c qd c h dmnna danc mn n an ncd mn a ha [7]. ahm a. 005 ha cndcd a ma na nay anay f an ncd anna qd h n an aay mn ncd a mdm [8]. Tn-fd amzan f nfcan fndamna and acca manc ca f n acan n hamacca and chmca cn. Say dyn an nan and n ym. Th fman and chaacc f ay a ny affcd y h a c f h anna qd. Thf h dmn and h f na a n h anna qd Sc nn and/ a am a nad n h h hcay y n h na nay anay.. FOMLATON FO LNEA STABLTY ANALYSS.. Md Amn Th ay md cnd a n c anna qd h c n aam a hn n F. Ga ha a amd ncd and ncm. Th ac f c f qd nn a and a a
3 nan f h Effc f Lqd and A S cy and 77 amd 0 A 0Ω 0 A cy. nn a f amd d dy an and a f f f y. Sh nay cc d h h f na a a h qd a nfac. Th h a f h na a a nd y fd nzz my and cmn f fc acn n h nfac ncdn c na fac nn and cnfa fc. Th a dmnan m na a nm cndn h mamm h a. Th mamm h a and h m na a nm can ad h a nh and h man d dam cy. A ma na nay anay cndcd dmn h mamm h a and h m na a nm. F.. Anna n c qd h c n aam.. Lnazd Danc Eqan Th nn qan f c fd f n cyndca cdna ym a: Cnny: 0 Mmnm: P P 3 P 4
4 am E. Omm F. Mmhammad A. hdaya H. 78 n d an h nazd danc qan P 5 h h a n h man f qan and and ndca danc. Th danc a amd f h fm n 6 h ^ ndca h danc amd hch a fncn f ny. F na ma nay anay a nm and n a a h h fqncy ω cm. Th mamm a f manay ω n h mamm h a and h cndn a f n h m na a nm. Th dacmn danc a h nn and nfac a n y h fn qan n 7 n 8 H φ ndca h ha dffnc n h dacmn a h nn and h nfac. F an qd h φ h z π. A z ha dffnc n h n md h a ha dffnc f π n h ac md. Sn Eq. 5 n Eq. 3 and 4 acn h man f qan and ncn h cnd d m h nazd qan f cy and danc a: Cnny: 0 9 Mmnm: A 0 A A
5 nan f h Effc f Lqd and A S cy and 79 A Smay h nazd danc qan f a f n cmnn fm a n a: Cnny: 0 3 Mmnm: h = and =Ω =A n d dmn h ffc f h a fc f fd and h mc aam h fn nn-dmnna aam a ndcd: a h A A. nm f h fd h a nd and d dfnd n md h aa cy and ana. h cy a h ad a h dny a f a qd dmnn a nm dmnn h a ynd nm f f.
6 80 am E. Omm F. Mmhammad A. hdaya H..3. Bnday Cndn Th fn nday cndn a ncay h nazd danc qan. nmac Bnday cndn: Lqd: a h 7 a 8 nn Ga: a h 9 O Ga: a 0 D h ncd amn f h a am n h aa and azmha dcn c a h qd-a nfac z. Th d a: 0 a h 0 a h Th dynamc nday cndn q ha h fc n h nma dcn aancd. Th ncd fac nn na cnfa and c fc. Mahmacay hy a d a: h h a h h 3 3 h a 4
7 nan f h Effc f Lqd and A S cy and 8.4. P danc nd h qd h H h c and n h ncd and h c a f h cy an. N qan f h a can n a: ncd: c: d 0 5 d 6 d 7 d d 0 8 d d d 9 d d d d 30 d d Tm f h fd cy can n a f: 3 : Dffnan 6 h c and mnan fm 6 and 7 d 3 d Sn 3 n 5 ha: 0 d d d d 33 Th a qan a B qan hch ha a n f h fm: C C
8 8 am E. Omm F. Mmhammad A. hdaya H. Sn 34 n 3 and 6 an: C C 35 C C By ayn h mhd Eqan f 8 30 h cy m a and a f: C C C C C C C C n h nday cndn Eq. 7 8 and h cnan C C C6 a dmnd and y n hm nd Eqan 36 Th danc nd h qd h can d a n C C Th cffcn a aaa n h And..5. P danc n nn and a ha Lna Cnny and mmnm qan and dmnn f a ha can n a f: d 0 40 d 4 d 4 d Th danc nd h nn and a a cacad ch h danc nd h qd h ha y fann h ad an. P danc n nn a:
9 nan f h Effc f Lqd and A S cy and 83 0 h h 43 P danc n a: 0 44 h n n a h n h d mdfd B Fncn f f and cnd nd cy. Th Nnna dmnn dn qan and y n h danc nd Eqan 3 and 4 and h m h cmmn fac. Th Fna Dn Eqan a d nmcay n h can mhd. f h 0 45 n h ncd ca h fna dn qan d n ha a cd fm n and d nmcay n Mahmaca TM. Th Scan mhd d h an cm a a qd dmn h f h dmnn dn qan. fm h ncd ca a an a an a. By ayn h a f f h h h mamm manay a ha n h mamm h a f danc cndn h m na a nm and h may a f ay dcd..6. Ba Mchanm f fac danc a a m ach η a m τ cacad fm h fn qan [9]: 0 n 46 0 n h a qan ω h mamm a h a ha cacad y n h fna dn qan and n acd h mna 0 Dm and H [0]. A may a nh f ay a f:
10 84 am E. Omm F. Mmhammad A. hdaya H. L n 47 0 n h a qan h a cy f h fd and L h may a nh f fd ay. Bca n qan 45 dmnn a h a achd h h fn cd cm: L 48 n h a qan O ad f h qd anna ay and h dmnn a h a. A amn dam ha fmd a h n f a Cad f h a ay and fm h fn qan [9]: d L 6h 49 n h qan d L amn dam and a nm cndn h mamm a h a and h haf f h ay hcn ha and fm h fn qan: a ; h 50 Cnqny amn dam cacad a f: d L 6h 5 D dam Cad f h c fd amn a can and a f [9]: 6 d.88d 3Oh 5 D L n h a qan Oh cy qd fac nn a and and fm h fn qan: Oh 53 d L S h qan 45 ndcn ach h may a nh anh qan 48. T ach h Lamn and d dam hd d a nm cndn h mamm a h a fm qan
11 nan f h Effc f Lqd and A S cy and Fm qan 48 can cncdd ha h nca h mamm a h a dcd h may a nh. Fm qan 5 h nca h a nm cndn h a h a dcd h amn dam and a dcd h d dam Fm qan ESLT AND DSCSSON 3.. Effc f Lqd cy F h h damn ffc f qd cy. A a cnan nm chan n cnd a chan n qd cy. Hh a f ynd nm cnd cy. Hnc h mamm h a nca h ynd nm nay achn h h a f an ncd ca f = 000. Th d my ha hh qd h a d ad h a nh and ma d. Th mamm h a nca Pmay a nh amn dam and d dam dca and m cmn and dc mn and f cnmn. S F 3 ha a h Pmay a nh cmad F. A amn dam and d dam f F 3 h han F. n na h ncan h a h a Pmay a nh and amn dam dcd and h h d dam dca. A qd cy ha a na ffc n h Pmay a nh and Ca cm h ncan h Pmay a nh n h h hand cy nca ca cm ncan h Pmay a nh. A cy nca ca cm ncan h amn dam and d dam. Th aan f h a h a nm f a qd h h h aa and cy cmnn a hn n f.3. Th aa nm and h nm a an a qa. Fm f. 3 can d ha h mamm h a and h m na a nm a nfcany hh cmad h n cna f. cy. Th ndca ha qd m nay a hh nm. Th f a h ha h damn ffc f cy n f a n h cmad ha f a nn-n h. A y hh cy = 0 h mamm h a f h n ca a han ha f a nn-n ca. Th ffc f qd qd nm fm 0 75 n h mamm h a and h m na aa a nm a hn n f. 7. d ha qd ha a da ffc n h nay. A a f qd nm 0 a 0 a azn ffc n. A a f a h nn nfac h cnfa fc d qd nd h h d h ac ndd a. A ch a qd nm qd nd ha a azn ffc n h qd h. Th cnfa fc d qd a h nfac nd h a d nfac fh ad and h a dazn ffc. Th danc h a nca h ncan qd nm a hh qd.
12 86 am E. Omm F. Mmhammad A. hdaya H. F.. Dn daam a =000 = =0.003 h=0.95 F. 3. Dn daam a = =000 = =0.003 h=0. 95 F. 3. Th Effc f Lqd cy n h may a f ay a = = 000 = =0.003 h=0.95 F. 4. Th Effc f Lqd cy n D dam a = = 000 = =0.003 h=0.95 F. 5. Th Effc f Lqd cy n Lamn dam a = = 000 = =0.003 h=0.95
13 nan f h Effc f Lqd and A S cy and 87 F. 7. Lqd S nm Gh a a =000 = =0.003 h= Effc f a F 8 n h ffc f aa a c n h dnan f n anna qd h. Th cmnan f nn and a m ffc n dazn n qd h han qd h h h aa and cy f. 3. Th adynamc nacn a h qd-a nfac nhancd hn h nn and a a n h ncan h nay. Sn qd h c cmnan f nn and aa a am f. 8 dc hh h a han qd h n n qcn a mdm f. 3 d nca n h a c and h cmnd ffc f cnfa and adynamc fc. Hh a c d cnd a a amzan h a c d m a m amz cnfan. Th ffc f cmnan f nn and a n h nc f h cndn aa c f n qd h hn n f. 9 cy. n d dmn h ffc f a f. 9 cmad h f. 8 hch cn f y aa a c. can cncdd ha mad nn and a am ha cnan ffc n h nay f n qd h. Th hnmnn can and a f. Th cnfa fc d qd a h nfac nd h a d nfac fh ad and h a dazn ffc. Th d n h nfac y h n a hh han ha a h nd nfac and hnc nd h h d h ac ndd a. Hnc a ha a azn ffc n a n qd h. A h nn nfac h cmnd ffc f h cnfa fc d qd hch f f y and nn a hch ha a d dy an f nca h amd f an. Th nn a ha a dazn ffc n a n qd h. H h an f aa a nm man naffcd d h ffc nn and a hn cmad h qd h c y aa a c. Pmay a nh amn dam and d dam f f. 9 a dca cmad F. 3 and m cmn and dc mn and f cnmn. S F 9 ha a h Pmay a nh cmad F 3. A amn dam and d dam f F 9 h han F 3. Th y cman F 4 6 h F 0.
14 88 am E. Omm F. Mmhammad A. hdaya H. F. 8. Dn daam a = =000 = =30 = =0.003 h=0.95 F. 9. Dn daam a = =000 = = = =30 = =0.003 h=0.95 F. 0. Th Effc f Lqd cy n h may a f ay a = = = = = = 30 = =0.003 h=0.9 F.. Th Effc f Lqd cy n Lamn dam a = = 000 = = = = 30 = =0.003 F.. Th Effc f Lqd cy n D dam a = = 000 = = = = 30 = =0.003
15 nan f h Effc f Lqd and A S cy and 89 h= CONCLSON h=0.95 By ayn h a f h aa a nm d h h h mamm manay a ha nd h mamm h a f danc cndn h m na a nm. Fm h dy ha dan h fn cncn:. Th mamm h a nca h ynd nm.. Hh qd cy d ad h a nh and ma d. 3. h ncan h a h a Pmay a nh and amn dam a dcd and h h d dam dca. 4. Lqd cy ha a na ffc n h Pmay a nh and ca h ncan Pmay a nh amn dam and d dam. 5. Lqd cy ncan nd dca h h h a and h m na a nm. 6. Th damn ffc f cy nfcany hh f a n h cmad a y aay mn h. 7. Lqd m nay a hh nm. 8. S mad nn and a am ha cnan ffc n h nay f n qd h. 9. O a ha a azn ffc n a n qd h. 0. nn a ha a dazn ffc n a n qd h.. Ga ca h dcan Pmay a nh amn dam and d dam cmad a qd h h h aa and cy.. Th cmnan f nn and a m ffc n dazn n qd h han qd h h h aa and cy. EFEENCE []. H P. Man E.M. a D. Gaan M.A. nay dy f a n anna qd h f ym dcd y a-a amzan Eda []. Ln S. P. Ba f qd h and Camd ny P 003. [3]. Snan. A. Mhn C. f hy f dn and dnan f qd am P. Eny Cmn Sc [4]. Panchana M.. Sa P. E. Sanan P. J. On h h-dmnna nay f a n anna ncd qd h c nqa a c Phy. Fd [5]. La Y Jn S. M. J M. A. Bnamn M. A. Adancd -md f aa amz J. Pn P [6]. Mhn C. Snan. A. Nn-na caay a n n aymmc f qd fm n. J. Mha F [7]. Chn F. Ta J. Y. D F. and Sam. On h aymmy f anna
16 am E. Omm F. Mmhammad A. hdaya H. 90 na J. Fd Mch [8]. ahm A. A. J M. A. Jn S. M. Effc f qd cy f n h nay f a n anna qd h Amzan and Say [9]. Snca P.. Schmd D.P. Na. and C.J. z.d. Cadn M.L. Mdn Hh-Sd c Lqd Sh Amzan n. J. f Mha F 5 c f amn dny n d fman n ay Chm En Sc 7: PPENDX [0]. Dm N. H PC. Th ff A 3 3 h h h h h h h h C h h h h h h h h C 55 3 h h h h C 56 4 h h h h h h C 57 5 h h h h C 58 6 h h h h h h C 59
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Guide to Chapter 15. Aqueous Equilibria: Acids and Bases. Review Chapter 4, Section 2 on how ionic substances dissociate in water.
Guide to Chapter 15. Aqueous Equilibria: Acids and Bases We will spend five lecture days on this chapter. During the first two class meetings we will introduce acids and bases and some of the theories