ㅇ缸→F.

다.5 ^Dimental Analysis ^{and similan.ly}

I Planning ^, pantatm.mterpetatmofexplCFD.ua

9, µ

ㅇ缸

FI_i.fi#^{' at}

쏌

stt0 ^"

(^{God V.} 9^. µ^{) (}E _points ^for b each ^L. V.

f.M.BAA ^{wereda are Nation to}

唜一 이땄

弑潞

Edi_meansmod

analysis ^,

〖%faae-stoexpsaiy.l.EE

Ref_Rm.ae ⁼ _RM^to_type ^{→ G mode = G.pro}

totpe.no/rmfelllf.Er5.2.Pmcrpleofdmensmalhomogenei

→ in ^{te same} of ^{, each adaHe term should}

have ^{are same dina위다.}

( ^ftftv.tt_go.tl^Ist_{[ ㄴ]} ^{Cha Falling)}

1 ¥ ^{.it gz = constant (Bernardi q)}

/ ^' iii] ^S

⇒ dimental ^{variable : S. V. t.pe z . .}

( ^a _constant ^{: So , 당 ,} g, ^{. . .}

- Pure ^{constants →}

nodimensia.eguatiin_dmsiadeeseguiuo.int_analysis

non^_dimental ^form

5.3 ^.

[email protected]^{ion in variable}

( ^{n : diMenand variable}

( ^{k : " loss variable ( TI )}

↳

j ^{= n - k < number of}

dimensrousnecessangtodescribed.imemotional variable

延

=f

G. ^{. g ( Re )}.fr?T=G.Tz=Re

② Find ^{The reaction}

Ni ⁼ fwz.rs^{. 다.V5 ) 7=5}

if ^{3 diMasters [ M.LT 〕} arevequired.kz?

⇒ T.wsask.US^{. 이 .me} i]

gdimen.si^예의s

E ⁼ www.iwaf ^{V5 = LM인0T에 1}

☆ I

form Pi Group by Power Product ^of

these variable that ^{to not form a} Pi

↳

receptor

a⁼ b ^{=C = 0}

di^Mensuit analysis ^{oilI tail .}

:

:

:

:

:

:

:

:

:

-choosedensity.ve/ocityadIengjodonotputturodependent^{variable as}

reaction variable

.

ex) E ⁼ ftp.L.U.ru ^{). N- 5 .}

F ⁼ [ MLFT

/

L ^{- 다}]

8.32.0 ^{4 kt 2.}

V2 CLI^{' 〕}

t.fi^{[ ME3]} _j ^{variableS .}

µ ^.fm 幽巧 _L

. V ^. 9 .

( ftp.CNET?a.b.C^? )

T.tt CE ^{= (LIKE 'J 〔 M} I[ ^MLE정

= [ int53

에

에

→ a-2.be ^{-2, C = - 1} .

i. T-T V29^{" F =}

唜泄

石一一 ☐ ftp.fmiija#=C-l_ee.

∴

石二唜 一恨

佑二

LG.ge?nedspractiee!fmi3S=fcPcL.E

에

豺 .it?.E.&SttnyfMLiI

( ^{j - 5 - k£3 . E32 .}

Can'tb ^{And to ㅠ} groupS ^{, because P and}

E ^contan M ^and F but also ^same Power

of ^{Mad T . ⇒}E230

T.ME^{" S}

(

퍄샤탸

恁悠

形二

池邨工

•

뛨

쀲

Earl^I _Group : T.it#dQ=CM ^F]

Q ⁼ AV d,

퍄 公器八

r T

M ⁼ HR

惚心

GQ.ci ^{.it (}

邨仙

- 9 ^Q _.

→ 9 ⁹

54 alon-dimeoodizatmofthebasiceqwtms.in

inwmpressibkflowi.wntmity.FI ^{= 0}

( ^{- its} _equation ^: 9

慶一加

a material ^denrate

IS_Non ^- dimensimdizo.tn ^{렁 i.}

→ characteristietalesneededl.LI_U )

,

5^. 4^. Non^- domensrnalizatoan ⁰f ^the 트basiiegn

mnompresibleftoror

↓

ontonuity ^: OO^{A- 브 = 0}

* ^{mtm : aptuO9 -}matewal^{OO- derivative}

오

we ^need charaoterstr ^{scale도 .}

b velocity ^, length^{, …}

A ( ^ω ₎ CL )

e ^- q ⁾ 브 ⁼

는

구

*

= ^-

또

보

,

E

*

= E ,

A

= P

t ^* = ⁼

단

- ⁽ 2^-=2α^((vuLx*← ) = ^{온 쳐 ⇒ 하 =} 1^{. 보한*}

9 - ^{( = -}_D^9D(^(t*UI

는

맨

I

어스

양

짜서르서

*_*

은

* =

-^[90^{중식 * tM않*}

르으

서

만

청

. ^{P =}

앓 홉

1

d ^{= -Mertia}

Nscousforc②

2

맡*^{+ (}

스

로서

ADomenstonal Parameters

. Re ^{= ~9}(^{압 Reynoldsmomker))}

. Fr = ^{CFroude number) ~} _ship^{river, sea}

We^{= - f람(}Weber^number)- interfacial^flowr

liqurd droplet ^.

- surface ^fenson

Maz ^남 ( ^Machnumber)

st= ^{- 참}( strmhalnumherx

오

O O

요 법

이

L Kanman ^vortex shedding

나스 W ^. coscft ⁾

.

남

대는

= cos ( ^{st. t* ) ,}

- pr ⁼

음

thermalconductivity g ^{= - k -}

업

다 =

불며

1 _Lift ( ^{(항력 ) .}

lift ₍양력₎ drag coeffrcieut

wefftcient

- → O^…~…

8_w C ^{" §}

P = ^P

- P

일

( pressure ^oefficiewA))

5^.5 ^{. Mo .}deling^{andSimplantyy ( 상사성)}

ππ= ^{f(π iπ 3 … )}

5π ^{2m= π p}_, ^{π 3m=π zp, … ⇒π im = πiP ,}

* GeometreEimilavity ^{[ L ]}

a mmodel and Protofype ^ane gmetically ^similan

ifand onlyif ^all body ^{dimensins in all three}

coordinates^{haethesamelMear -sealerato :}

> all angles ^{are presened, all flow} directronsane

preservedd

co~ ^-00…EX

* ^ㅡKinemafic ⁹imflarty ^{[ L . T ]}

themofions^offtwo systems ^{ane Simiplar→}

model ^ndfprofotype ^{hal tle same}

C

length^{- and fime - scale}

ratocC

-+^AP _나^(속도)

AM

사1 ^CM

~^Hp

Perod^: _Tp ^②

남

Froude ^{number , 2}

Fvm ⁼

했다

-. -₅

하

Dt ② ^: vm = VD ^{⇒ Vm = rav}

Tm ⁼ raTr

y ^{[ TJm, 다 .}

namme* similaity

- Same lenyth ^{- , fime - , and mass (force)}

-scale rattos,

동 _{P ∞}

> _ㅋm

; ^{Am, 9 m} O

남 ^{. 9}_p ^" 섬

∞ m

Renp OL'^=-fpvoplup,^{Rem =-µn/=σm}

[ f ^{dm = adp}_, ^{same fluid, 참 m =}

호

Real_ㅡ^{flows ~> lab tests . CCED , EXP)}

ㅡ *

nwmpressibe ^{flow . Reㅡ}

( compressibe ^{flow : Re & ㅡㅡMas}