1228003 Pg Project Phase 1 Edit

8/13/2019 1228003 Pg Project Phase 1 Edit

1/22

NUMERICAL STUDIES ON COMBUSTION INSTABILITY

OF SOLID ROCKET MOTOR

A PROJECT REPORT-PHASE-I (AE1610)

Submitted by

GAUTHAM P

0001228003

in partial fulfillment for the award of the degree

of

MASTER OF TECHNOLOGYin

AERONAUTICAL ENGINEERING

DEPARTMENT OF AERONAUTICAL ENGINEERING

SCHOOL OF AERONAUTICAL SCIENCES

HINDUSTAN INSTITUTE OF TECHNOLOGY AND SCIENCE

PADUR CHENNAI - 603 103

NOVEMBER 2013


2/22

NUMERICAL STUDIES ON COMBUSTION INSTABILITY

OF SOLID ROCKET MOTOR

A PROJECT REPORT-PHASE-I (AE1610)

Submitted by

GAUTHAM P

(1228003)

in partial fulfillment for the award of the degree

of

MASTER OF TECHNOLOGYin

AERONAUTICAL ENGINEERING

DEPARTMENT OF AERONAUTICAL ENGINEERING

SCHOOL OF AERONAUTICAL SCIENCES

HINDUSTAN INSTITUTE OF TECHNOLOGY AND SCIENCE

PADUR, CHENNAI - 603 103

NOVEMBER 2013


3/22

HINDUSTAN UNI!ERSITY" PADUR CHENNAI - 603 103

BONAFIDE CERTIFICATE

Certified t!t ti" #r$%e&t re#$rt tit'ed #NUMERICAL STUDIES ON

COMBUSTION INSTABILITY OF SOLID ROCKET MOTOR$ i" te $!fide

*$r+ $f P%GAUTHAM (R&'*&+ N," 1228003)$*$ &!rried $t te #r$%e&t *$r+

der . "#er/i"i$ Certified frter t!t t$ te e"t $f . +$*'ede te *$r+

re#$rted ere d$e" $t f$r #!rt $f !. $ter #r$%e&t re"e!r& *$r+ $ te !"i" $f

*i& ! deree $r !*!rd *!" &$ferred $ ! e!r'ier $&&!"i$ $ ti" $r !. $ter&!did!te

HEAD OF THE DEPARTMENT SUPER!ISOR

Dr Di'i# A !, Mr 4!" P!'

A""i"t!t #r$fe""$r

De#!rtet $f Aer$!ti&!' De#!rtet $f Aer$!ti&!'Eieeri Eieeri

Hid"t! I"titte $f Hid"t! I"titte $f 5e&$'$.

5e&$'$. !d &ie&e, P!dr !d &ie&e, P!dr

5e Pr$%e&t P!"e I Vi/!-V$&e E!i!ti$ i" e'd $ 777777777777777

INTERNAL EAMINER ETERNAL EAMINER


4/22

ACKNO.LEDGEMENT

ir"t !d f$re$"t I *$'d 'i+e t$ t!+ te 9$rd A'it. f$r Hi" #re"e&e !d ie"e 'e""i"

tr$$t te #r$%e&t *$r+

It:" ! !tter $f #ride !d #ri/i'ee f$r e t$ e#re"" . dee# r!titde t$ te !!eet $f HI5

f$r #r$/idi e te e&e""!r. f!&i'itie" !d "##$rt

I ! i'. e'!ted i e#re""i . "i&ere !d !d!t re"#e&t t$ te Vi&e C!&e''$r

DrR!!&!dr! f$r i/i e ti" $##$rtit. t$ ri $t !d i#'eet . ide!" i ti"

#r$%e&t

I *i" t$ e#re"" . e!rtfe't r!titde t$ DrDi'i# A !, He!d $f te De#!rtet $f Aer$!ti&!'

Eieeri f$r & $f i" /!'!'e "##$rt e&$r!eet i &!rr.i $t ti" *$r+

I *$'d 'i+e t$ t!+ . iter!' ide Mr 4!" P!', f$r &$ti!''. idi !d !&ti/e'.

#!rti&i#!ti i . #r$%e&t, i/i /!'!'e "e"ti$" t$ &$#'ete te #r$%e&t *$r+

I *$'d 'i+e t$ t!+ !'' te te&i&!' !d te!&i "t!ff $f te Aer$!ti&!' Eieeri

De#!rtet, *$ eteded dire&t'. $r idire&t'. !'' "##$rt

9!"t, t $t te 'e!"t, I ! dee#'. ideted t$ . #!ret" *$ !/e ee te re!te"t "##$rt *i'e

I *$r+ed d!. !d it f$r te #r$%e&t t$ !+e it ! "&&e""


5/22

LIST OF FIGURES

F'/+& 1%1 - S, +,&* +, &*,4

F'/+& 1%2 - K5+54 !,+*&7 S*+&&*F'/+& 2%1%1 - M,& '&,&*+ ,9 SRM

F'/+& 2%1%2 - C,:/*;*,4; ,;4 ,/4;+ ,4*,4

F'/+& 2%1%3 - C,4*,/+ ,9 ?,+** ;'4*/& 9,+ 9/ */+>/&4* ;/;*,4

F'/+& 2%1%@ - T/+>/&4* :+,/*,4 ;>& ,4&

F'/+& 2%2%1 - G&4&+; ?&< ,9 *=& A+;4& , +,&* ,*,+ (P230)%

F'/+& 2%2%2 - T:; +&/* 9,+ *=& P230%

F'/+& 2%2%3 - T:; &* ,9 &7:&+&4*; +&/* ,>*;4& *


6/22

LIST OF TABLES

T;>& 3%1 - D&4,4 9,+ ,& '&,&*+ 4 -Y +&*,4%

T;>& 3%2 - BOUNDARY CONDITIONS"


7/22

ABSTRACT

$'id r$&+et" !re +$* t$ e #r$e t$ f'id d.!i& !d &$"ti$ i"t!i'itie" 5e &$#'i $f

f'$* i"t!i'itie" *it !&$"ti& re"$!&e i iter!' f'$*" &! re"'t i "e'f ""t!ied $"&i''!ti$"

5e "e!r '!.er eer!ted i te &$rer $f te re!r*!rd-f!&i "te# i" "t!'e !d 'e!d" t$ #eri$di&

/$rte "eddi *i& i" te #ri!r. &!"e $f !er$ !&$"ti& $"&i''!ti$" i te r$&+et $t$r If

fre;e&. $f ti" "eddi &$i&ide" *it te !tr!' !&$"ti& $de" $f te e$etr., te te

$"&i''!ti$" *$'d e "e'f-""t!ii !d te !#'itde" $f te"e $"&i''!ti$" *$'d r$* 5e

$%e&ti/e $f ti" #r$%e&t i" t$ i/e"ti!te te fre;e&ie" $f te $"&i''!ti$" i &$"ti$ &!er $f

"$'id r$&+et $t$r 5e Neri&!' "i'!ti$ *i'' e &!rried $t i f'et !d re#$rted re"'t" *i''

e &$#!red *it e#eriet!' $de' $f !$e et !'


8/22

TABLE OF CONTENTS

C=;:*&+-1

INTRODUCTION

CHAPTER

NO%

TITLE PAGE NO%

9i"t $f ire"

9i"t $f 5!'e"

A"tr!&t

i/

/

/i

1 INTRODUCTION

2 LITERATURE SUR!EY

3 METHODOLOGY

> FUTURE ENHANCEMENT AND CONCLUSION

References


9/22

I4*+,/*,4 ;>,/* ,>/*,4 *;>*

T:& ,9 ,>/*,4 *;>*

5e $#er!ti$ $f ! "$'id r$&+et $t$r i" iiti!ted . iiti te r!i, *i& trier"

&$"ti$ O&e &$"ti$ ei", te $t !"e" f'$* r!di!''. $##$"ite t$ te dire&ti$ $f r!irere""i$ 5e"e !"e" tr!/e' !'$ te 'et $f te $t$r !d !re fi!''. e#!ded i te $??'e

Dri te ri #r$&e"", de t$ te differi ri r!te", "te#(") !re f$red i te ri

fr$t 5e "!r# &$rer $f te "te# id&e" te f$r!ti$ $f "e!r '!.er" i te f'$*i $t !"e"

5e"e "e!r '!.er" !re i'. "t!'e !d t" r$'' # it$ /$rti&e" 5e"e /$rti&e" !re !d/e&ted

t$*!rd" te $??'e ed !d i#ie $ te *!'' 5i" #eri$di& "eddi $f te /$rti&e" !d teir

i#ieet $ te *!''" *iti te &$fied &!er i/e" ri"e t$ f'$* $"&i''!ti$" !d !&$"ti&

#e$e! A "e&ti$!' /ie* $f ! t.#i&!' "$'id r$&+et $t$r i" "$* i te fire 1

ire 1 $'id r$&+et &r$"" "e&ti$

Dri te de/e'$#et $f "$'id r$&+et $t$r" i te '!te 1@30" !d e!r'. 1@0", te"t firi"

*ere $fte !r+ed . err!ti& e!/i$r 5i" i&'ded e#e&ted "ift" i te e! #re""re,

"tr&tr!' /ir!ti$" !d /i"i'e &!e" i te e!"t #'e 5!t te"e !$!'ie" *ere "$e$*

te re"'t $f acoustic waves i te !"e$" #r$d&t" $f &$"ti$ *!" .#$te"i?ed (e, B$." !d

&$fie'd


10/22

*!." t$ iti!te te effe&t" $f, te"e "$-&!''ed combustion instabilities i'e "iifi&!t #r$re""

!" ee !de, te &$tied !ife"t!ti$ $f te"e eer!''. *!ted #re""re $"&i''!ti$" i all

t.#e" $f &$"t$r", fr$ !fterrer" !d r!%et" t$ !" trie" "e"t" t!t & *$r+ re!i"

!ORTE SHEDDING"!,+*&7 =&4' i" ! $"&i''!ti f'$*t!t t!+e" #'!&e *e ! f'id "& !" !ir $r *!ter

f'$*" #!"t ! &.'idri&!' $d. !t &ert!i /e'$&itie", de#edi $ te "i?e !d "!#e $f te $d. I

ti" f'$*, /$rti&e" !re &re!ted !t te !&+ $f te $d. !d det!& #eri$di&!''. fr$ eiter "ide $f te

$d. ee V$ FrF V$rte treet 5e f'id f'$* #!"t te $%e&t &re!te" !'ter!ti '$*-#re""re

/$rti&e"$ te d$*"tre! "ide $f te $%e&t 5e $%e&t *i'' ted t$ $/e t$*!rd te '$*-#re""re

?$e V$rte "eddi eid ! &ir&'!r &.'ider i" "$* i te f$''$*i fire

ire2 FrF /$rte "treet

V$rte "eddi !" ! "$r&e $f $"&i''!t$r. e!/i$r $f "$'id #r$#e''!t r$&+et $t$r" !"

ee "tdied f$r te #!"t 2G .e!r" 5e fir"t e/ide&e $f /$rte dri/e $"&i''!ti$" *!" e&$tered

i $t$r" *it &$#'e r!i e$etr., "ed i te ##er "t!e" $f !''i"ti& i""i'e" If te e!t

re'e!"e dri te &$"ti$ #r$&e"" f'&t!te", it &$'d &$#'e $r '$&+-$ *it $ter f'&t!ti$",

tere. iiti!ti ! feed!&+ &.&'e 5i" &$'d !/e ! !d/er"e effe&t $ te $#er!ti$ $f! RM,

e&!"e te &!er #re""re i" de#edet $ te &$"ti$ #r$&e"", !d ti" i tr, i" re'!ted t$

te tr"t $t#t

He&e, !. $"&i''!t$r. &$"ti$ t$ ei *it, *$'d !'ter te tr"t 'e/e' 5e"e

$"&i''!ti$" !re "!''. "ee i te iiti!' "t!e $f &$"ti$ !d !" &$"ti$ #r$&eed", te"e

$"&i''!ti$" r!d!''. die $t 5" te et effe&t *$'d e t$ &!"e f'&t!ti$" i te e!t re'e!"e

!d te tr"t '!dr$ !d !&$"


11/22

'i+ed t$ te .dr$d.!i& i"t!i'it. $f te e! f'$* "e!red rei$" '!dr$


12/22

i&$#re""i'e i te eri&!' "i'!ti$" It "t e &'e!r'. der"t$$d t!t te f'$*-!&$"ti&

&$#'i *i& i" $f #ri!r. itere"t i te &$tet $f r$&+et $t$r i"t!i'itie" &!$t e "i'!ted

etire'. . i&$#re""i'e f'$* &!'&'!ti$" !'$e Neri&!' &!'&'!ti$" !/e ee &!rried $t t$

deterie te /$rte "eddi fre;e&. !d te effe&t $f /!r.i te f'$* r!te $ ti" fre;e&.

5e eri&!' "i'!ti$ i" &!rried $t "i &$er&i!' &$de 9UEN5 5e $t!ied re"'t" !re

&$#!red *it te e#eriet!' /!'e" $t!ied fr$ e#eriet!' #r$%e&t d$e . !$e et

!'


13/22

LITERATURE RE!IE.

M;& 4;& >, &**&+ ,9 ;/*=,+

T+ 4,* *, :/* 9'/+& 4 *&+;*/+& =;:*&+%

M;& *;>& ,9 ,4*&4* ;,+4' *, ,/+ =;:*&+

S% A>/ R;=&&


14/22

5e &$#t!ti$!' d$!i *it $d!r. &$diti$" i" "$* i i 2 At te i'et, te

!/er!e /e'$&it. !"ed $ te f'$* r!te fr$ te e#eriet" i" #re"&ried I !dditi$, f$r tr'et

&!'&'!ti$", te i'et tr'e&e ite"it. i" "et t$ 3K 5i" /!'e !" ee e"ti!ted !"ed $ te

re'!ti$"i#, f$r f''. de/e'$#ed #i#e f'$*"

5$ deterie te "e"iti/it. $f te "$'ti$ t$ ti" /!'e, &!'&'!ti$" *ere !'"$ d$e *it ti"

/!'e "et t$ >K 5e &$#t!ti$!' d$!i i" "$* i te f$''$*i fire

ire 2 C$#t!ti$!' d$!i" *it $d!r. &$diti$"

C$t$r" $f /$rti&it. !itde f$r f''. tr'et &!'&'!ti$", i i 3 &'e!r'. "$* t!t te "ed

/$rti&e" !re $t r$*i !d !d/e&ti

ire 3 C$t$r" $f /$rti&it. !itde f$r f''. tr'et &!'&'!ti$"

ire "$*" te rei$ i ti" *$r+, &!'&'!ti$" *ere te tr'et #r$d&ti$ ter i"

"*it&ed $ff 5ere !re $ &riteri! . *i& te etet $f "& rei$" &! e deteried I te

#re"et *$r+, ti" rei$ eid te !&+*!rd f!&i "te# !" ee &$"e t$ e $e i *i& te

/e'$&itie" !re 'e"" t! 10 K $f te !/er!e i'et /e'$&it.


15/22

ire 5r'et #r$d&ti$ di"!'ed ?$e

5e f'$* i" &$"idered ere i" &$'d f'$* *i& i" *it$t te effe&t $f *$r+i f'id t i .

#r$%e&t te f'$* i" &$"idered !" $t f'$* 5e $de' "ed i ti" #r$%e&t i" te "&!'e $de'

e#eriet!''. "tdied . !$e et !' i . #r$%e&t I !/e t!+e ! differet "&!'e $de' $f

!$e et !'

I ti" #!#er 4/e" !i$


16/22

t*$ e&!i"" "ee t$ e ! i#$rt!t #$teti!' "$r&e $f i"t!i'itie" !d #r$/ide ! e* /i"i$ $f

te P230 "t!i'it.

S;4&&? M;=,*+;


17/22


18/22

C=;:*&+-3

METHODOLOGY

I ti" #r$%e&t, te $de' $f te $'id R$&+et M$t$r i" t!+e fr$ te e#eriet!' $de' $f

!$e et !' & 1" D&4,4 9,+ ,& '&,&*+ 4 -Y +&*,4

De&$#'er Die"i$" P$rt Die"i$" D$*"tre! #!rt

Die"i$"

91i D1 i 92i D2i 9di D3i

>3 61 2G0 1G 3G 31

I ti" #r$%e&t, te "&!'e $de' #r$/ided !$/e i" de"ied i AMBI5 !d te e"i i" d$e !d

te #re""re i"t!i'itie" !re &!'&'!ted !d eri&!''. "tdied "i te "$ft*!re &!''ed 9UEN5

5e $%e&ti/e $f ti" #r$%e&t i" t$ i/e"ti!te te fre;e&ie" $f te $"&i''!ti$" i &$"ti$

&!er $f "$'id r$&+et $t$r 5e Neri&!' "i'!ti$ *i'' e &!rried $t i f'et !d re#$rted

re"'t" *i'' e &$#!red *it e#eriet!' $de' $f !$e et !'


19/22

5e &$#t!ti$!' d$!i i" dr!* r$'. !d te $d!r. &$diti$" !re !""ied f$r te "&!'e

$de'

ire 2 C$#t!ti$!' d$!i" *it $d!r. &$diti$"

BOUNDARY CONDITIONS"

!'' N$ "'i#

I'et Ve'$&it.

Ot'et Otf'$*

Iter!' "ide .etr.

5e $de' de"ied i te !it i" "$* i te f$''$*i fire

F'% 3 M,& &'4& 4 G;>*

M;& * 4 9/*/+& &4*&4&

Ve'$&it. i'et Ai"

!''

Otf'$*


20/22

G?& 9'/+& 4/>&+ & 9'/+&%%4,* & 9' +&,?& >, %%

C=;:*&+-@

FUTURE ENHANCEMENT AND CONCLUSION

5e !i $%e&ti/e $f te #re"et *$r+ i" t$ eri&!''. "i'!te te f'$* i"t!i'itie" i "$'id

r$&+et $t$r" H$t f'$* i" &$"idered i ti" i/e"ti!ti$ 5e f'$* i" !""ed t$ e

i&$#re""i'e i te eri&!' "i'!ti$" It "t e &'e!r'. der"t$$d t!t te f'$*-!&$"ti&

&$#'i *i& i" $f #ri!r. itere"t i te &$tet $f r$&+et $t$r i"t!i'itie" &!$t e "i'!ted

etire'. . i&$#re""i'e f'$* &!'&'!ti$" !'$e Neri&!' &!'&'!ti$" !/e ee &!rried $t t$

deterie te /$rte "eddi fre;e&. !d te effe&t $f /!r.i te f'$* r!te $ ti" fre;e&.

5e eri&!' "i'!ti$ i" &!rried $t "i &$er&i!' &$de 9UEN5 5e $t!ied re"'t" !re

&$#!red *it te e#eriet!' /!'e" $t!ied fr$ e#eriet!' #r$%e&t d$e . !$e et

!'


21/22

REFERENCES

1 !$e, R I %it !d R C!+r!/!rt., Aer$ !&$"ti&" $f r$&+et $t$r" *it

INOC49 r!i, AIAA P!#er2003-632, 3@t AIAAAMEAEAEE $it Pr$#'"i$C$fere&e !d Eiit, 2003

2 A '!dr$ !d HR !&$", V$rte-eer!ted $d i C!/itie", AIAA P!#er >3-

101, 1@>3

3 A '!dr$, V$rte Dri/i Me&!i" i O"&i''!t$r. R$&+et '$*", $r!' $f

Pr$#'"i$ !d P$*er, V$' 2, N$ 3, 1@86, ## 1@6 Q 206

!d 9 C , Deteri!ti$ $f 5rieri C$diti$ $f V$rte-Dri/eA&$"ti& C$"ti$ I"t!i'it. i R$&+et M$t$r", $r!' $f Pr$#'"i$ !d P$*er, V$'

16, N$ 6, 2000, ## 1022-102@

G P M R!d!/i& !d A e'!et, A &$#t!ti$!' !##r$!& f$r f'$*-!&$"ti& &$#'i i

&'$"ed "ide r!&e", $r!' $f A&$"ti&!' $&iet. $f Aeri&!, V$' 10@, N$ , 2001, ##

133-13G3

6 Me$, Neri&!' i'!ti$" $f O"&i''!t$r. C$'d '$*" i ! Ai-".etri& R!%et

C$"t$r, $r!' $f Pr$#'"i$ !d P$*er, V$' 6, N$ G, 1@@0, ## G2G-G3

> !i'!"!!t, H !rder, P B$ri", !d EOr!, Neri&!' i'!ti$" $f A&$"ti&-

V$rte Iter!&ti$" i ! Cetr!'-D# R!%et C$"t$r, $r!' $f Pr$#'"i$ !d

P$*er, V$' 3, N$ 6, 1@8>, ## G2G-G33

8 B$.", !d &$fie'd, A (1@3) I/e"ti!ti$" $f e&$d!r. Pe!+", Pr$#'"i$

De/e'$#et E"t!'i"et, Re#$rt 1@3G, Ae"#$rt, E'!d, U

@ r!d, H (1@@) Re"$!&e Bri i R$&+et M$t$r", Communications on Pure and

Applied Mathematics, V$' 2, ## >@-102

10 *!"$, CD (1@G1) Re"$!&e Bri i R$&+et r!i", U N!/!' Ordi!&e 5e"t

t!ti$, NO5 5M 3@


22/22

11 it, RP !d #reer, D (1@G3) C$"ti$ I"t!i'it. i $'id Pr$#e''!t R$&+et",

Proceedings of the Fourth Symposium (International on Combustion, i''i!" !d i'+i",

B!'ti$re MD, # 8@3

12 Ad' R!ee A*!d, NUMERICA9 IMU9A5ION O UN5EAD4 9O IN

O9ID ROCE5 MO5OR, AIAA 200-28>8

13 4/e" !i$! "I"t!i'itie" !d #re""re $"&i''!ti$" i "$'id r$&+et $t$r", Aer$"#!&e

&ie&e !d 5e&$'$. > (2003) 1@1Q200

1 !%ee/ M!'$tr!, O C$"ti$ I"t!i'it. i $'id R$&+et M$t$r", C!'if$ri! I"titte

$f 5e&$'$. P!"!de!, C!'if$ri! 200

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