Mathematical Modeling of Plasma Assisted Combustion. Tropina A.A., Shneider M.N., Miles R.B.
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1 Mathmatcal Molg of Plasma Assst Combusto ropa A.A. Shr M.N. Mls R.B.
2 PRESENAION ONLINE INRODUCION PLASMA ASSISED COMBUSION IN ERMS OF CONIUNUUM MECHANICS CRIERIA ANALYIS: LIMIING CASES NANOSECOND PULSED DISCHARGE: KINEIC ANALYSIS LASER+MICROWAVE DISCHARGE LASER + DIREC CURREN DISCHARGE URBULEN COMBUSION ASSISED BY PLASMA: frst approxmato FOURIER ANALYIS OF HE URBULEN SPECRA FUURE WORK
3 PRESENAION ONLINE INRODUCION PLASMA ASSISED COMBUSION IN ERMS OF CONIUNUUM MECHANICS CRIERIA ANALYIS: LIMIING CASES LASER+MICROWAVE DISCHARGE LASER + DIREC CURREN DISCHARGE URBULEN COMBUSION ASSISED BY PLASMA: frst approxmato FOURIER ANALYIS OF HE URBULEN SPECRA FUURE WORK 3
4 Motvato Applcatos rqurg wll-f wll-cotroll rgy posto Flow cotrol optmal locato for posto of momtum rgy ato to trggr or supprss stablts ruc rag alor rgy ato: w opportuts for combusto procss cotrol talor hat rlas; racto progrss cotrol Mofcato of tmpratur/sty fl to mofy global prformac Authortatv rlabl gto gto at th hgh sp flow Dffrt schargs fluc o th combusto procss EXENSION OF FLAMMABILIY LIMIS OPERAION LIMIS LOCAION AND IMING of IGNIION CAN BE CONROLLED ADVANAGES VOLUMERIC IGNIION MORE EFFICIEN FUEL USAGE SABILIZAION a FLAME HOLDING POLLUION REDUCION HROUGH ULRA-LEAN COMBUSION 4
5 PLASMA ASSISED COMBUSION Puls hgh-voltag aosco scharg ffrt mos [] Mcrowav scharg [3] Hgh-powr flamtary DC scharg [4] Dlctrc barrr scharg Comb lasr-mcrowav scharg thrmal Mchasms othrmal [5] [6]. Nkplov A.A. Rakt A.E. Popov I.B. Corral G. Starkovsk A.Yu. Proc. 49th AIAAA Arospac Sccs Mtg a Exhbt 4-7 Jauary Orlao Flora USA Papr AIAA--4.. Starkovskaya S.M. J. Phys. D: Appl. Phys. 6. Vol.39. R Esakov L.P. Grachv K.V. Khoatav V.A. Vograov D.M. Va W Proc 44th AIAAA Arospac Sccs Mtg a Exhbt 9 Ja. [6]. Ro 6. AIAA A.V. Loov D.A. Yaratsv A.P. Napartovch I.V. Kochtov Proc. 44th AIAAA Arospac Sccs Mtg a Exhbt: proc. t. cof. 9 Ja. [6]. Ro 6. AIAA D.E. Asphs D.R. hurma Proc. 4 Plasmayamcs a Lasrs cof. 7-3 Ju Hawa Hoolulu. AIAA J.B. Mchal A. Dogaru M.N. Shr R.B. Mls // Joural of Appl Physcs.. Vol.8. P
6 Subcrtcal Mcrowav Applcatos Volumtrc subcrtcal scharg Lamar flam sp hacmt Khoatav K.V. Joural of Propulso a Powr 4 8. Stockma t al. Combusto a Flam Extso of flammablty lmts oprato lmts Stablzato a flam-holg Ehacmt for short rsc tm applcatos scramts 6
7 Naosco Puls Dscharg Fast a ffct flam gto: flam sustaablty u to proc gto at th plasma rptto rat D. Mssa t all. Proc. of Comb. Ist Plasmas for Combusto Naosco Puls Dscharg 7
8 PRESENAION ONLINE INRODUCION PLASMA ASSISED COMBUSION IN ERMS OF CONIUNUUM MECHANICS CRIERIA ANALYIS: LIMIING CASES NANOSECOND PULSED DISCHARGE: LASER+MICROWAVE DISCHARGE LASER + DIREC CURREN DISCHARGE URBULEN COMBUSION ASSISED BY PLASMA: frst approxmato FOURIER ANALYIS OF HE URBULEN SPECRA FUURE WORK 8
9 Plasma assst combusto th trms of cotuum mchacs hrmoyamc systm s a small volum lmt of a mum tractg wth a lctromagtc fl by poromotv forc. Itral rgy of th lmt s th rgy of th tramolcular hat moto a polarzato rgy Gbbs rlato [] s u p p max E P kyk k k A k Y k. Groot S.D. Mazur P. Noqulbrum thrmoyamcs p. 9
10 Combusto procsss of th mult-compot mxtur th lctromagtc fl N э Y W Da E D v D v Sc t ~ ~ R ~ R ~ ~ R ~ R э Y W Da E D v k D v Sc t ~ ~ ~ R 3 E G E G B Al E G v p Eu t q k k 3 Y W Da Y D v Sc Y t Y ~ ~ R 4 m Y p 5
11 ~ N E v R B E m v B c t D c rot H 4 E rot t B c 7 8 k r Br Y W h Da E I B I E I Y D h Sc v v H t H ~ ~ ~ R ~ R Pr 6 Combusto procsss of th mult-compot mxtur th lctromagtc fl Nomsoal paramtrs of th systm R E G q 8 E G U R c R m D Sc H H E I B Al xp k Da xp k D E R B D Sc E 4 D D H H Pr H H 8 E I H H E I.
12 V эфф G Q Q G E G x t Pr R 5 ~ ~ R R Pr * * V r V V p Y W h Da Y h D Sc v G G t c эфф V V V h Q G D Sc t R 9 Combusto procsss of th mult-compot mxtur th lctromagtc fl E Q V V G
13 PRESENAION ONLINE INRODUCION PLASMA ASSISED COMBUSION IN ERMS OF CONIUNUUM MECHANICS CRIERIA ANALYIS: LIMIING CASES NANOSECOND PULSED DISCHARGE: LASER+MICROWAVE DISCHARGE LASER + DIREC CURREN DISCHARGE URBULEN COMBUSION ASSISED BY PLASMA: frst approxmato FOURIER ANALYIS OF HE URBULEN SPECRA FUURE WORK 3
14 Ma omsoal paramtrs G E E B G Al 8 q V V xp в m 4m k B E R m c Lmtg cass Al R G G q m V Flam th lctrc fl Al R G G q m V Combusto procsss assst by a plasma th local thrmoyamc qulbrum stat combusto procsss assst by hgh currt DC schargs 4
15 LIMIING CASES 3 Al R G G q m V Combusto procsss assst by oqulbrum plasma two-tmpratur approach combusto procsss assst by th DC scharg at low currts 4 Al R m R m G q G V V Combusto procsss assst by oqulbrum plasma wth tral grs of from thr-tmpratur approach Oly for lamar combusto assst by plasma combusto procsss assst by th aosco puls scharg 5
16 EVALUAION Naosco puls scharg mtha-ar.65.6?. mtha-ar.3? ar NP scharg.3? ar NRP glow.9? ar NRP flamtary ar trasvrsal arc scharg.6 7 V V [] [] [] [3] [4]. D. Mssa B. Attal rtout F. Grsch // Proc. of th Comb. Ist. 7. Vol.3. P D.Z. Pa G.D. Stacu D.A. Lacost C. Laux. Plasma Sourcs Sc. chol. 9. Vol pp. 3. G.D. Stacu F.Kaour D.A. Lacost C. Laux. J. Phys. D: Appl.Phys.. Vol pp. 4. V. Chryak L. Krazhtsky V. Naumov G. Puchkovska V. Yukhmko // Joural of Molcular Structur P
17 PRESENAION ONLINE INRODUCION PLASMA ASSISED COMBUSION IN ERMS OF CONIUNUUM MECHANICS CRIERIA ANALYIS: LIMIING CASES NANOSECOND PULSED DISCHARGE: LASER+MICROWAVE DISCHARGE LASER + DIREC CURREN DISCHARGE URBULEN COMBUSION ASSISED BY PLASMA: frst approxmato FOURIER ANALYIS OF HE URBULEN SPECRA FUURE WORK 7
18 Combusto procsss assst by oqulbrum plasma wth tral grs of from 4 Al R m R m G G V q IGNIION BY HE NANOSECOND PULSED DISCHARGE Ma physcal mchasms V Igto lay tm chag caus by th grato of lctrocally a vbratoally xct molculs Lamar flam sp hacmt; 3 Atoal mpuls trasfr whch ca caus th small-scal turbulc grato th scharg zo; 4 Ifluc of rgy sav th vbratoal grs of from o th mmum gto rgy a combusto procss; 5 Chag of th gto ktc mchasm; 6 Chag of th trasfr proprts of a mum. 8
19 O FORMULAION OF HE PROBLEM Plasma composto 4 3 P N S O a O b N D O D N P g Exct partcls g 3 3 N A u N B g N a u N C Postv os N4 N NO N O4 NON N3 NO NO O Ngatv os a lctros O O NO O3 NO3 O4 NO NO otal umbr of spcs for th ful-ar plasma 3 u O C mchasm 9: utrals8 charg a xct partcls3 NO mchasm 8 GRI 3. mchasm -89: utrals 53 charg a xct partcls 3 NO mchasm 4 N X v g 9
20 FORMULAION OF HE PROBLEM: Ma ractos Exctato of lctroc stats structo a ozato of utrals by lctro mpact Assocatv ozato Rcombato of lctros a postv os Elctro attachmt a tachmt procsss Ractos wth partcpato of grou lctroc stats partcls Ractos wth partcpato of lctrocally xct partcls Postv a gatv os ractos Rcombato of postv a gatv os Racto wth partcpato of vbratoally xct partcls Quchg of O DO 3 P N PN DO 3 P o utrals Combusto ractos for utral spcs. ropa A.A. t all. IEEE ras. o Plasma Sc.. Vol.39. No.. P
21 FORMULAION OF HE PROBLEM: Plasma proprts Spcfc hat corrcto u to th vbratoal xctato c pm F xp N Cz E / c p C p c N V * pm cpm Rat costats of ozato ssocato a ssocatv attachmt cras ffct of o-zro vbratoal tmpratur V [] z xp E N / k v Formato thalpy corrcto for th compots th xct stats H * H m R Ergy of th xctato lvl. Matsakaya A. Nas G. Rvws o Plasma Chmstry99 Vol..NY:Cosultats Burau P.59
22 IGNIION DELAY IME ANALYSIS P= atm aosco puls scharg Iput of th vbratoal xctato: Igto lay tm cras - % Hat capacty chag.-.5 % Fg.. O atoms coctrato pc o tm mtha-ar mxtur. Ma os O4 O O NO Fg.. h gto lay tm pc o th ruc lctrc fl valu.. M.M. Holto P. Gokulakursha M.S. Klass R.J. Roby. Joural of Egrg for gas turbs a powr.. Vol.3. P
23 Mmum gto rgy Fg.. Mmum gto rgy as a fucto of th plasma rgo raus. Fg.. Mmum gto rgy a tral rgy as a fucto of th puls wth.. Fr A. Sbulk M. Combusto Scc a chology V.73. P Fg.3. Mmum gto rgy as a fucto of E/N.
24 Elctro mpact rat costats pc o th ful cott th mxtur P= atm a b 4 Fg.. Normalz rat costats pc o th ruc lctrc fl valu a mtha-ar mxtur b tha-ar mxtur.
25 PRESENAION ONLINE INRODUCION PLASMA ASSISED COMBUSION IN ERMS OF CONIUNUUM MECHANICS CRIERIA ANALYIS: LIMIING CASES NANOSECOND PULSED DISCHARGE: KINEIC ANALYSIS LASER+MICROWAVE DISCHARGE LASER + DIREC CURREN DISCHARGE URBULEN COMBUSION ASSISED BY PLASMA: frst approxmato FOURIER ANALYIS OF HE URBULEN SPECRA FUURE WORK
26 Lasr+mcrowav schargs Rmot Powr Dlvry for Plasma Assst Combusto Gug mcrowav Hybr schms: fs lasr + mcrowav [] Fg. h gto lay tm pc o th quvalc rato mtha-ar mxtur mcrowav puls urato s μs. Fg.3. h gto lay tm pc o th mcrowav rgy put tm: la mxtur.5. Mchal J. Dogaru A. Shr M.N. Mls R.B. Joural of appl physcs Vol.8 p A.A. ropa J. Mchal M. Shr R. Mls. AIAA papr--. 6
27 s V s a xp xp s V b b s b s V b b a Z R E R E z W z z W c H H Q u p b u u V Ifluc of rgy sav th vbratoal grs of from o th flam ormal vlocty s - Zl ovch soluto []. Fg.. Dpc of paramtr o th omsoal vbratoal tmpratur.. Barblatt G.I Zl ovch Ya.B. h mathmatcal thory of combusto a xplosos ropa A.A. Mchal J. Shr M. Mls R. IEEE ras. o Plasma Sc...Vol.4. P [] b z z s R E / b p b z z p z Bs z s xp z a k c Wzz c 7
28 Ifluc of rgy sav th vbratoal grs of from o th flam ormal vlocty Ф.7 Fg.. h ormal flam vlocty pc o th o-msoal vbratoal tmpratur mtha-ar mxtur Evaluato of th vbratoal tmpratur rag - 3 K V.56. V. J.Mchal M.Ewars A. Doraru R.B. Mls. APWIP for rgy chologs Flow cotrol a Matrals Procssg Prcto NJ-3 August. 8
29 PRESENAION ONLINE INRODUCION PLASMA ASSISED COMBUSION IN ERMS OF CONIUNUUM MECHANICS CRIERIA ANALYIS: LIMIING CASES NANOSECOND PULSED DISCHARGE: KINEIC ANALYSIS LASER+MICROWAVE DISCHARGE LASER + DIREC CURREN DISCHARGE URBULEN COMBUSION ASSISED BY PLASMA: frst approxmato FOURIER ANALYIS OF HE URBULEN SPECRA FUURE WORK
30 LASER +DIREC CURREN DISCHARGE P= atm =3 K O. 3 m 3 N 4.8 m m 3 Rmot Powr Dlvry for Plasma Assst Combusto Gug mcrowav Hybr schms: fs lasr + Drct Currt scharg Fg.. h tmporal voluto of xct spcs of trog. Fg.. mporal voluto of xct compots o th flamt axs a o th bouary of th flamt at t=5 s th DC scharg rgy put starts. 3
31 Igto by th comb schargs LASER PULSE AILORED BY HE DIREC CURREN DISCHARGE Fg.. mporal voluto of charg spcs o th flamt axs. Fg.. mporal voluto of mthyl a hyrog o th flamt axs. 3
32 PRESENAION ONLINE INRODUCION PLASMA ASSISED COMBUSION IN ERMS OF CONIUNUUM MECHANICS CRIERIA ANALYIS: LIMIING CASES NANOSECOND PULSED DISCHARGE: KINEIC ANALYSIS LASER+MICROWAVE DISCHARGE LASER + DIREC CURREN DISCHARGE URBULEN COMBUSION ASSISED BY PLASMA: frst approxmato FOURIER ANALYIS OF HE URBULEN SPECRA FUURE WORK
33 URBULEN COMBUSION assst by plasma Ifluc of lctromagtc fl pulsatos o th combusto procsss Ifluc of turbult pulsatos of utral a charg compots o plasma paramtrs Atoal mchasm of th plasma ozato qulbrum sturbac wh th tal plasma stat s a qulbrum stat. 33
34 Aalyss of turbult pulsatos fluc Pulsatos of th lctro compot ar cotroll by th pulsatos of th lctro grato sourc: R k k * * plasma quasutralty * a R ~ ~ ~ k * ~ * ~ ~ ~ a a ~ ~ ~ ~ turbult pulsatos of lctro compot hav a local sotropc structur [] R ~ ~ ~ ~ ~ ~ ~ ~ * ~ * ~ a a a a. Skvch O.A. Chkuov S.E. Isakav E.Kh. Crtro for trasto from lamar to turbult flows of argo plasmatros // Hgh mpratur Matral Procsss. 3. V. 7. Issu. Р
35 Ifluc of turbult pulsatos of charg compots o plasma paramtrs a attachmt mo V b tachmt mo V c trastoal mo 9 V ~ 5% Fg.. Dpc of R ~ o th pulsato lvl of th lctro tmpratur. 35
36 Dpc o prssur Fg.. h lctro tmpratur pc o prssur trastoal mo of th scharg Fg.. h lctro tmpratur pulsatos lvl pc o prssur trastoal mo of th scharg O of th rasos of th scharg rgy cras at th hgh tsty of turbult pulsatos? 36
37 PRESENAION ONLINE INRODUCION PLASMA ASSISED COMBUSION IN ERMS OF CONIUNUUM MECHANICS CRIERIA ANALYIS: LIMIING CASES NANOSECOND PULSED DISCHARGE: KINEIC ANALYSIS LASER+MICROWAVE DISCHARGE LASER + DIREC CURREN DISCHARGE URBULEN COMBUSION ASSISED BY PLASMA: frst approxmato FOURIER ANALYSIS OF HE URBULEN SPECRA FUURE WORK
38 FOURIER ANALYSIS OF HE URBULEN SPECRA [] Icomprssbl flu No-soloal xtral forc P lm lm k l k m k. V.N.Dsask E.A. Novkov. PMM Vol.38No p
39 CASCADE PROCESS Fg.. h turbult spctra at t=.5. Soloal xtral forc at ffrt harmocs. Fg.. Ifluc of th o-soloalty of th xtral forc o th turbult spctra. 39
40 COMPESSIBILIY EFFEC Cotuty quato 4
41 FUURE WORK. Comprssblty ffcts o th turbult casca procss wth xtral forc.. Ifluc of turbulc grat by th comb schargs o th chmcal racto rats. 3. Stuy of th swrlg combusto assst by plasma. 4
42 Ackowlgmts
Statistical Thermodynamics Essential Concepts. (Boltzmann Population, Partition Functions, Entropy, Enthalpy, Free Energy) - lecture 5 -
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