Modelling Assignment: OpenFoam

8/15/2019 Modelling Assignment: OpenFoam

1/14

Jmfbaaknh emr NulabgrBnhknbbrs9 Vdbrjga Dyfrguakls

Gabxgnfrms Cbnkld


2/14

7 “ Kntrmfultkmn

Vdb b+ugtkmns hm,brnknh tdb -m.s me -ukfs kn tdb $dysklga .mraf grb

fk/luat tm sma,b kn gaa ut tdb jmst skj$ab me $rmabjs7 #t ks mnay

rblbntay .ktd tdb gf,bnt me lmj$utbrs tdgt slkbntksts gnf bnhknbbrs

dg,b bbn gab tm usb nujbrklga tbldnk+ubs tm skjuagtb -ukf -m.s

kn lmj$abx hbmjbtrkbs suld gs kn tdb $rkjgry amm$ me g $rbssurksbf

.gtbr rbgltmr 6(257 Vdbsb gahmrktdjs gnf nujbrklga tbldnk+ubs

bnlmj$gss g hrm.knh 8baf 4nm.n gs lmj$utgtkmnga -ukf fyngjkls

%";57

#n tdks rb$mrt sb,brga skj$ab %"; skjuagtkmns .brb lrbgtbf y usknhtdb m$bn"mgj $gl4ghb gnf tdb rbsuats .brb stufkbf kn mrfbr tm hgkn

gn unfbrstgnfknh me tdb strbnhtds gnf akjktgtkmns me tdbsb ty$bs me

smet.grb7 Vdrbb fkbrbnt bxbrlksbs .brb lmj$abtbf kn tdks ag9

• &gjkngr -m. kn g akf3frk,bn lg,kty tm gngaysb tdb bblts me

knlrbgsknh tdb jbsd rbsmautkmn gnf tdb 2bynmafs nujbr7

• &gjkngr -m. kn g fult .ktd g gl4.grf3eglknh stb$ tm gngaysb

tdb bblts me ldgnhknh tdb -m. ,kslmskty gnf jbsdknh

$grgjbtbrs7

• Vuruabnt -m. kn g fult .ktd g gl4.grf3eglknh stb$ tm

gngaysb tdb bblts me turuabnlb mn $rbssurb gnf ,bamlkty

fkstrkutkmns7

#n bgld lgsb lmn8fbnlb kn tdb rbsuats .gs bstgaksdbf y

$bremrjknh g$$rm$rkgtb jbsd lmn,brhbnlb stufkbs7

0 “ Jbtdmfmamhy

Gaa bxbrlksbs kn tdks ag .brb lmj$abtbf y usknh m$bn"mgj mn grbjmtb lmj$utbr7 Vdks lmj$utbr .gs lmnnbltbf tm y usknh g


3/14

sblurb sdbaa ,kg gny tbrjknga5 .dkab fkrbltmrkbs gnf 8abs .brb

,kb.bf usknh (kn'%67

0.7 “ Fbenknh tdb Hbmjbtry

G sbt me lmmrfkngtbs kn g hamga rbebrbnlb ergjb5 grb s$blk8bf kn tdb

aml4Jbsd;klt 8ab .dkld lmrrbs$mnf tm tdb ,brtklbs me tdb hbmjbtrkl

jmfba7 Vdbsb $mknts grb tdbn hrmu$bf tmhbtdbr tm fb8nb tdb ,grkmus

eglbs me tdb jmfba gnf gny munfgry lmnfktkmns gt tdbsb eglbs7 #n

tdb lgsb me tdb lg,kty bxbrlksb gaa eglbs grb stgtkl bxlb$t tdb tm$

eglb tdb akf5 .dkld ks hk,bn g ,bamlkty kn tdb x3fkrbltkmn7

0.0 - Jbsdknh

1bemrb $bremrjknh gny -m. lgaluagtkmns tdb ,maujb tdgt ks tm b

gngaysbf just 8rst b s$akt kntm juatk$ab fkslrbtb rbhkmns kn g

$rmlbss lgaabf jbsdknh7 Gn bxgj$ab me suld g jbsd .ktd gnf

.ktdmut lbaa hrgfknh lgn b sbbn kn "khurb 7 Vdb lbaa sk:b kn tdb

jbsd kn-ubnlbs tdb gllurgly me tdb rbsuats .ktd sjgaabr lbaas

hbnbrgaay abgfknh tm jmrb gllurgtb smautkmns gt tdb bx$bnsb me

hrbgtbr lmj$utgtkmnga lmsts7 #n mrfbr tm jgkntgkn nujbrklga stgkakty

kn tdb skjuagtkmn g +ugntkty 4nm.n gs tdb %murgnt nujbr just b

abss tdgn mr b+uga tm 7 Vdb %murgnt nujbr ks fb8nbf gs9

Lm:ζt

ζx∤R ∤½ 075

(dbrb ζt ks tdb tkjb stb$ ½R ∤½ ks tdb jghnktufb me tdb

,bamlkty gnf ζx ks tdb lbaa sk:b kn tdb ,bamlkty fkrbltkmn7 #e g 8nbr

jbsd ks fbskrbf sjgaabr ζx 5 tdb %murgnt nujbr .kaa knlrbgsbunabss tdb tkjb stb$ ks gasm fblrbgsbf y tdb sgjb $rm$mrtkmn7

Dkhdbr rbsmautkmn jbsdbs .kaa metbn rb+ukrb ,bry sjgaa tkjb stb$s kn

mrfbr tm jgkntgkn g %murgnt nujbr abss tdgn rbsuatknh kn

skjuagtkmns .dkld tg4b skhnk8lgnt tkjb gnf>mr lmj$utgtkmnga

rbsmurlbs tm lmj$abtb =O7


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Ekhurb 7 - 02x02 jbsd m lgkty hbmjbtry. !bt jbsd ks unkmrj "dkab rkhdt kshrgfbf.

0.# “ $unnknh %m&s

Vdb nbxt stb$ ks tm sujkt tdb m tm tdb rbjmtb lmj$utbr runnknh

m$bn"mgj ,kg tdb sujkt@emgj lmjjgnf7 Lnlb tdb m ks lmj$abtb

tdb rbab,gnt 8abs grb mut$ut kn tdb lurrbnt fkrbltmry7 Vdbsb grb tdbn

lm$kbf mntm tdb amlga jgldknb kn mrfbr tm ,ksugaksb tdb rbsuats kn tdb

6grgFkb. $rmhrgj7

0.' “ (grg)kb" Vdb 8nga stb$ ks tm $rmlbss tdb rbsuats kn 6grgFkb. tm $rmfulb

rbab,gnt $amts gnf jg4b sbnsb me tdb fgtg7 6grgFkb. gaam.s tdb usbr

tm sbb g ,ksugaksgtkmn me tdb ,maujb jbsd gnf gny jbsd hrgfknh

.dkld .gs g$$akbf kn tdb 8rst stb$7 'lgagr slbnbs grb gasm $rmfulbf

tm gngaysb tdb b,mautkmn me -m. bdg,kmur m,br tdb abnhtd me tdb

skjuagtkmn7

# “ $bsuats gnf Fkslusskmn

#.7 “ !kf-frkbn *gkty

Vdb 8rst bxbrlksb emaam.bf tdb akf3frk,bn lg,kty tutmrkga gs fbslrkbf

kn tdb m$bn"mgj hukfb7 "khurb 0 sdm.s sb,brga ,ksugaksgtkmns


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lrbgtbf gs $grt me tdb tutmrkga tm hgkn g ebba emr smjb me tdb

lg$gkaktkbs me 6grgFkb.7

Ekhurb 0 “tm+ abt tm &mttmj rkhdt, (rbssurb jg+ bamlkty grrm"s strbgj trglbrhrgfbf jbsd.

#.7.7 “ Knlrbgsknh $bynmafs uj&br

Vdb 2bynmafs nujbr ks hk,bn y9

ℑ: FRχ α


6/14

rbfulbf tdb fb$td gt .dkld tdb bblts me tdb jm,knh akf .brb ebat y

tdb -m.7 Dkhdbr 2bynmafs nujbrs jbgn tdgt tdb knbrtkga emrlbs me

tdb -m. blmjb jmrb $rmnmunlbf tdgn tdb ,kslmus emrlbs gnf

tdbrbemrb tdb munfgry agybr tdkl4nbss g $dbnmjbnmn kn-ubnlbfy ,kslmskty5 ks rbfulbf7 6bg4 $rbssurbs ga.gys mllurrbf gt tdb tm$

abet gnf tm$ rkhdt lmrnbrs gs sdm.n kn "khurb 07 6bg4 ,bamlktkbs

ga.gys mllurrbf gt tdb jm,knh .gaa fub tm tdb nm3sak$ lmnfktkmn7

#.7.0 “ (bg/ ?dbgr ?trbssbs

Vdb $bg4 sdbgr strbssbs mllur gt tdb .gaa7 Vdks ks blgusb tdb sdbgr

strbss ks g eunltkmn me tdb ,bamlkty hrgfkbnt gs emaam.s =


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tdks kntbreglb gaam.s hrbgtbr dbgt fkuskmn kntm tdb lmmagnt ,kg tdb

kntbrgltkmn me gtmjs7

#.7.# “ *mnefbnlb kn $bsuats

%mn8fbnlb kn tdb rbsuats .gs gldkb,bf y $bremrjknh g

lmn,brhbnlb stufy me tdb jgxkjuj $rbssurb .ktd knlrbgsknh jbsd

rbsmautkmn gs sdm.n kn "khurb H7

? !?? ??? !?? 0???

?

0

H

K

?

0

uj&br m *baas

(bg/ (rbssurb (g

Ekhurb ' - (amt m +bg/ +rbssurb ghgknst nuj&br m lbaas sdm"knh lmnbrhbnlb.

#t .gs emunf tdgt tdb $bg4 $rbssurb lmn,brhbf tm.grfs g ,gaub me

?76g emr g H?xH? jbsd7

#.7.' “ Jbsd Hrgfknh

Vdb ty$b me hrgfbf jbsd usbf emr tdb lg,kty bxbrlksb .gs sdm.n

bgrakbr kn "khurb 07 Vdb hrgfknh usbf kn tdks lgsb .gs ?70 kn tdb y

fkrbltkmn7 Vdks emlusbf mn kj$rm,knh tdb lbaa fbnskty lamsbr tm tdb

jm,knh .gaa blgusb tdks ks tdb rbhkmn .dbrb tdb hrbgtbst ldgnhbs

kn $rbssurb gnf ,bamlkty mllurrbf gnf tdbrbemrb rb8nbjbnt .gs

rb+ukrbf tm kj$rm,b gllurgly me tdb rbsuats7


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#.0 “


9/14

Ekhurb ; - (rbssurb fkstrk&utkmns mr 5 8 74js-7 gnf 5 8 744js-7 rbs+bltkbay.

#.0.0 “ *mnefbnlb kn $bsuats

Vdb lmn,brhbnlb stufy emr tdks bxbrlksb .gs $bremrjbf y amm4knh

gt tdb $bg4 $rbssurb gs g eunltkmn me tdb nujbr me lbaas gs sdm.n

kn "khurb K7 Vdb knktkga ,bamlkty usbf .gs js3 kn mrfbr tm 4bb$ tdb

%murgnt nujbr am.7 #n tdks lgsb tdb am.bst rbsmautkmn 0?x0?5K

jbsd .gs garbgfy lamsb tm lmn,brhbnlb .ktd mnay g ?70Afb,kgtkmn ermj tdb lmn,brhbnt ,gaub me


10/14

Ekhurb 3 - Hrgfbf jbsd mr tdb &gl/"grf-glknh stb+.

#.0.' “ !kjktgtkmns m tdb 1ngaysks

Vdks gngaysks dgs akjktgtkmns gs g rbsuat me tdb -m. rbhkjb lmnstrgknt

agjkngr57 Vdb suffbn knlrbgsb kn lrmss3sbltkmnga grbg gs tdb -m.

rbgldbs tdb stb$ .kaa nmrjgaay knlrbgsb tdb amlga 2bynmafs nujbr

sknlb tdb ldgrgltbrkstkl abnhtd dgs knlrbgsbf7 Vdb -m. ,bamlkty fmbs

fblrbgsb ut kn g jmrb rbgakstkl jmfba .b .muaf sbb g jmrb

lmj$aklgtbf -m. $gttbrn tdgn tdgt kn "khurb ! kjjbfkgtbay getbr tdb

stb$ fub tm tdks trgnsktkmn =


11/14

Ekhurb 74 - >khd gnf am" $bynmafs nuj&br bamlkty fkstrk&utkmns rbs+bltkbay.

#.#.0 “ (rbssurb *dgnhb

Vdb $rbssurb ldgnhb emr tdb am. 2bynmafs nujbr lgsb .gs ghgkn

,bry skjkagr tm tdb agjkngr lgsb gs sdm.n kn "khurb 7 Vdb dkhd

2bynmafs nujbr lgsb dm.b,br $rmfulbf g amlgaksbf am.3$rbssurb

sknhuagrkty $msskay knfklgtknh tdb emrjgtkmn me g ,mrtbx7

Ekhurb 77 - >khd gnf am" $bynmafs nuj&br +rbssurb fkstrk&utkmns rbs+bltkbay.

#.#.# “ *mnefbnlb kn $bsuats

Vm gldkb,b lmn8fbnlb kn tdb rbsuats g jbsd lmn,brhbnlb stufy .gs

fmnb emr tdb am. 2bynmafs nujbr lgsb 4knbjgtkl ,kslmskty M ?75

blgusb $rbssurb ,gaubs emr tdb turuabnt lgsb .brb un$rbfkltgab7

G H?xH?5K jbsd .gs nmt tbstbf blgusb me tdb tkjb tg4bn tm

$rmfulb tdb jbsd bknh tmm hrbgt7 G $amt me tdb lmn,brhbnlb me

$bg4 $rbssurb ks sdm.n kn "khurb 07

? !??? ???? !???

0

0K


12/14

Vdb $rbssurb lgn b sbbn tm g$$rmgld g lmn,brhbnt ,gaub ut g

8nbr jbsd just b usbf bemrb .b lgn b su/lkbntay lmn8fbnlb

tdgt tdb rbsuats $rmfulbf grb euaay lmn,brhbf7

#.#.' “ ?+blkga :rbgtjbnts gt =gaas

"mr tdb turuabnt lgsb s$blkga trbgtjbnts grb usbf gt tdb .gaas

blgusb turuabnt -m.s lgn hbnbrgtb ,bry agrhb ,bamlkty hrgfkbnts

gnf tdbrbemrb sdbgr strbssbs nbgr tdb .gaas =O7 Vdbsb just b

akjktbf tm g,mkf knstgkaktkbs grksknh kn tdb skjuagtkmn7

#.' “ Juatk+dgsb Eam"s

Juatk$dgsb -m.s grb bnlmuntbrbf kn nulabgr rbgltmrs .dbrb,br

nulabgtb mkaknh mr dkhdbr mkaknh rbhkjbs5 ks kn,ma,bf suld gs kn g

mkaknh .gtbr rbgltmr 1(257 #n tdks lgsb tdb -m. lmnsksts me tdb

ak+ukf $dgsb gnf tdb hgs $dgsb7 'uld g systbj lgn b jmfbaabf y

lmnstrultknh fb8nktkmns me tdb -m. gsbf mn tdb ,mkf ergltkmn gnf

g$$rmxkjgtkmns suld gs g t.m3$dgsb fbnskty7 'uld g t.m3$dgsb

fbnskty lgn tdbn b usbf tm mtgkn fbrk,bf +ugntktkbs suld gs tdb

2bynmafs nujbr =!O7

' “ *mnlauskmn

"aukf -m. kn g akf3frk,bn lg,kty gnf g fult .ktd g gl4.grf3eglknh

stb$ .gs jmfbaabf usknh tdb m$bn"mgj smet.grb $gl4ghb .ktd

turuabnt -m. gasm bknh jmfbaabf emr tdb gl4.grf3eglknh stb$7 #t

.gs emunf tdgt kn tdb akf3frk,bn lg,kty bxbrlksb agrhbr 2bynmafsnujbrs .muaf fblrbgsb tdb sk:b me tdb munfgry agybr7 Dkhdbr

rbsmautkmn jbsdbs .brb gasm emunf tm $rm,kfb bttbr3lmn,brhbf

smautkmns gt tdb bx$bnsb me amnhbr lmj$utgtkmn tkjbs7

Vdb agjkngr lgsb emr tdb fult bxbrlksb sdm.bf tdgt gt am. s$bbfs

tdb -m. .kaa 8rst ebba g fksturgnlb gt tdb stb$ .dkld fkslmnnblts

tdb munfgry agybr gnf tdbn rbgld g stbgfy stgtb ,bamlktyfkstrkutkmn kn tdb agrhbr fult .ktd g nb. munfgry agybr emrjbf7 #n


13/14

g sjgaa rbhkmn grmunf tdb stb$ tdb amlga $rbssurb ebaa bam. hguhb

gnf smjb gl4-m. .gs msbr,bf7 Gt dkhdbr s$bbfs tdb -m. fkf nmt

dg,b bnmuhd tkjb tm rbgld g nb. stbgfy stgtb ,bamlkty fkstrkutkmn

kn tdb agrhbr fult gnf g agrhb rbhkmn me am. $rbssurb .gs msbr,bfgetbr tdb stb$7

Vdb turuabnt lgsb emr tdb fult sdm.bf tdgt am. 2bynmafs nujbrs

$rmfulb rbsuats skjkagr tm tdmsb kn tdb agjkngr lgsb gs .muaf b

bx$bltbf7 Gt dkhd 2bynmafs nujbrs dm.b,br tdb -m. blmjbs

ldgmtkl getbr tdb stb$ gnf nm amnhbr rbsbjabs tdb agjkngr lgsb

.ktd g labgr munfgry agybr7

"urtdbr stufkbs sdmuaf b fmnb tm m$tkjksb hrgfknh gnf jbsd sk:bs

gs tdbsb .muaf skhnk8lgntay dba$ rbfulb tdb lmj$utgtkmnga lmsts me

tdb skjuagtkmns $grtkluagray tdb turuabnt -m. slbngrkm .dbrb

$rbssurb gnf ,bamlkty fkstrkutkmns grb jmrb lmj$abx7 Ltdbr

kj$rm,bjbnts knlaufb usknh lmj$rbsskab jmfbas tm gngaysb tdb

bblt me ldm4knh gnf gasm stufyknh tdb bblt me g emr.grf3eglknh

stb$7

2 “ $bbrbnlbs

=O 1aul47 J _Jmfbaaknh emr Nulabgr Bnhknbbrs9 VdbrjgaDyfrguakls‚ 0?H

=0O Dg$$ba Imdn gnf Dm.grf 1rbnnbr bfs7 Amw Pbynmafs nuj`br

dyfrmfyngjkls9 wktd spblkga gppaklgtkmns tm pgrtkluagtb jbfkg7Fma7 7 '$rknhbr 'lkbnlb W 1usknbss Jbfkg K


14/14

ldgnnbas7P #ntbrngtkmnga Imurnga me Juatk$dgsb "am.

Modelling Assignment: OpenFoam

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Transcript of Modelling Assignment: OpenFoam