aerodinamika 2

25
,/ r(ol -) r!!" '!ry\^*A wt't/on .'l J d.',i^ ?d ll^ d'1"*' ^ t",',1"'"* rtrc',-".5 ?.tl r,/ cV d M^6 it^^-t/v' uw\^ 5 i4^^ ",.t^. Lrr*""f ^,ln^ .i,t-,lon^^ 1V4 6,t ^.,0 d"^a^4"**-^^^{t, ' ' 9tlc^l^ fJ*"\^,. 5"-,. u*d"^"^i* *t'ta^6t'nl^4,r"' *4'^^ ^llrl ,'.r"^ d"*r,.Ar.. ^-^t5 "' $*t' x ?u^r,,uloo^,^^.^,-., vu^."[* :.ot A oJa"v' g'"'gt -w-"e '^;!fd" yw'h*i^r'^ ' 'r ^ 'Lj/r0d//\^dAa^^ VUJ^ ee ( --' .2odas'T a'f, 5tr,.^j .l^a^3or,t J o r ti ,.t 1^-,u*rU,l^uotlt" *** &L'"Y - r$t'^ril^ L{M'L^L *r"'^A^a\A tr^ft"4d ft,Jr^j. ary* n,nnn4n &€J :' * fA53 -) .a^^4. w,,{r^2t-'d^[ttJ]',fu"^' r*k ]*4f *14 - ln{"" .tn,L,.r ,,6r^-^. L r,.,..-I c-B-{^ ( J %L,A^4 fJ^ "ilr,. ,6"-^,1Lr,r,..- tra-B-{l Lilux*aEa*+14-L 'tnkAq ; ^ i i, L'l r^ ,"/irr lll E

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Page 1: Aerodinamika 2

,/ r(ol -) r!!" '!ry\^*A wt' t /on

. ' lJ d.',i^

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tr^ft"4d ft,Jr^j. ary* n,nnn4n &€J:' * fA53 -) .a^^4. w,,{r^2t-'d^[ttJ]',fu"^' r*k ]*4f *14 -

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Page 2: Aerodinamika 2

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Page 3: Aerodinamika 2

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Page 5: Aerodinamika 2

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Page 10: Aerodinamika 2

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Page 11: Aerodinamika 2

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Page 12: Aerodinamika 2

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Page 14: Aerodinamika 2

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Page 15: Aerodinamika 2

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Page 16: Aerodinamika 2

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Page 17: Aerodinamika 2

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Page 19: Aerodinamika 2

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( i l = '= i r \ s . A t " t "= t . " i r i ng ! i as ) 3pa va r .q d im" l l ' ; s l rd denqsn l ' r t r nd i5 i EL r t r -a '

L,n"t*t nelL-. la panel (v.ang ande bLLat) dengan di-qt l . i l r l .Ls t

v , : r r t e : : , l a n L t r n d i s i b a t a s V . n = n ! s e b e l L r m d i s L r e t i q a s i

di lsf ; , -1f i3.n ! tJ. lqaimsn-r l ' .3h Landisi l ' :L l t t ts in i dielspresi [ in ?

?

F'endErl ' ratan nLlmeri l , ; (Lrnt '1l ' i ja!" 'ahan b) - iepert i apal ' :ah y:ng

and. i imbi 1 LLn tL!1,r . memenuhi !Dndigi t i { t la r-ersFbLLl ?

a . A F . l Z a n q . l i n a k s l r d d e n g a n t e o r e n t s E i t _ L L ! 1 a s i t : : e l v i n ?

b , U r a i ! : a n s e . 4 F a r i n ! ! : a s ' l e n j e l - ! - { t r * g ; i m 3 n a t E n r e m a

€ i r k u 1 a 5 i l . : e l v r n d a p € t $ F n e r a n g l ' ; a n f e n o n F n a t - P r j e d a n i s

s i r l , i L L l a e . i d i = e h r t 3 r a i r l o i l b l = r g a y a a n q l ' : a t '

f '- (Voo /t + (uu.'\ -f ,^u

fv oo

4.xJ-"-"-l t a'

d'4 \

Ap3l.3i-r nedan ! :P.epsts.n ini f i ,er- !enLrhi FerEarn3an l ' iDnl inLl i taq ?

A p R ! , : a h a l i r a n i n i r a L i s i t r n a l a t s u i r o t a ' < l o n e l ?

a<-\ ] t r , -J-J l . . DaFat- l iah f l - ln ls i F* tensia l f ierPp3lsn dadEf ln is i l ian

a l r r a n i n i ?

!!Lg

rfu :.-*t 1

a { - N ' J d . - e r " . L r l . . d n

F , - - , n ' l s i d r ' - L s _ ] 1 F '

- ' 4 . , t 1 - - j - J . - l I e , T e n t u l : F . n E i F t i L , I a = i E l i s e l e l r l r r , q = e E i e m p a t d i b a l j a h i n i :

:L I

( o,o)

:

v- r11t'

,tv--'t-'a ' ^

d ! a m h i 1 d 3 1 - i . m

t.7 . - l- xq"

- 1 4 .

" x { . ' - q

-)

5lI[v.,-.- ,u't * ,( , ' , L . l t ,

Page 21: Aerodinamika 2

' . f - \

UJIAN TENGAH bEHESTER

AERADINA}4II4A I

9 Novenber !9Bg

>\

Iw a k t u : O 7 - O O - 0 9 . Q O

ruanq : Fuang kul iah Tek. Pealei_tra{_}qan

i)( l t . ^ .r .

l-{,'Atiran-aLiran yang bagaimanakeh yang dapsi diLatsl . :an ser lrPa

( s i m i l a r ) ?

J e l a s k a f t ( r i n q l i a s I ) F r i n = i p

I eorema t - i l JUct i lnghaf i -

anai i=is d i f ien6i onal dengan

yanq o l mar.sua oenqan :

A a l i ran kont inum (ccnt j . nu l rn)

,q.

b e b a 6 ( + r e e m o l e c l a r )

a n g m a n a k a h ( 1 . i h a t p e r t a n y a a n z a . )

f - a l i r en me leku l

A-b. Fendekatan al iran y

anda guna| an dslrm

vans

I-s- t"'

m e n u r u n i ' a n p e r s a m a t s n a t L r r N a v i p r - S i o k e s ,

S e b u t k a n t i q a p r i n 5 i F d a s a r y a n q d i p e r l u k a n u n t u k

pengaoatan/anal is is tEnomena al i ran udara.

4

, \ '

b. Jelaskan seEara r ingkae pendekatan model ber ik{-r t inr :

- Fini te control v(Jl ume

- I n f i n i t e g i m a l + 1 u i d e l e m e n t

c. Berial iu unt l rk al i ran yan,q bageimanakah pprsamaan*persaotair

b e r i l i u t i n i :

- FFrsamaan Navi er-Stokeg

- Persamaan Eul er

- Fereamaan Laplace

lJ o. .. AFa yanq di f taksud dPngan- St l .Faml ine

_ : t ; r 5 n

- al i ran i Fctasi onal.- =i rkul as, i

1

:

Page 22: Aerodinamika 2

)*1

T u l i s k a n d e + i n i s i

y6ng b69ai manahah

d i d e { i n i E i k a n ?

(+ ) . un tuk a l i r :n

te.sebut daF; i

o

d4Ll;.

:

JA\

rr1

, \ iV1\/. 11,.

I\ r /"

Jw oQ:)

e, iarak a deri suatu

arah gaya yang

d vA .-71

fr)

Oiber iken suetu f tedan keEepatan d im

a d a l a h s b b . :

L { = C y / ( x + y }

v = - c ) j . , t l i + y )

Tentukan persamaan gsr is ; rusnys.

l = e b B a h s l r m b e r ( s B u r c F ) d i l e t a i . t a n s

i l i h ; i q a m t r a r ) . T e n t u k a n b e e a F d E n

0/ - _ S {

e p " p P n q P r t i a n + i 5 i s d e f i n i E t F u n q € i A r r E ( S t r e a o { u n . t 1 o n }

Cst;ten r ,A

u d t s r t s d j . - e b e i a r . l : a n a n d j n d i n q

- . - _ - . . - - n q -

I

t .

? .

4 .

treFada dal am

suatu cernln

sl i ran yang

da/,"x I ?/r,A \, ^ \

J.t'

It_----..-

:LA

kA x.9 xv

t t :r/. Vtub

d,< d5 J'zdJ

v/- vgv $ a{ - Vr rt4: o

o\ vvL< t<

ri%-l/ - -

;

LM

Vx-2

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Page 23: Aerodinamika 2

l \auas. : ML\H- | (L1

r { -Re . . 1> Bc Z\cJl l r R - . M € S r . u .

sr l r (

li

l

nu 1 I ( 19 l 10 /AA l,7

, " E "'s

& . . U n t ' , , a l . r a n v r r \ , - o " r a ; . . 1 m . . r n R l , : . " h F - F | . s : l , n a 6 n L - . p L - L P r J P r L r l i u ;

o.a\- ,.^- *, .1q4(n poteng3i.al keceFat; tn (Ol

, 6 ^ b . t i a r l a r r n a n : , l l a ! L a n s L - . r e a m + u n c t i s n t V l ) d f r n g a n E t r e a i n l i n E ?

. r r L i . s . 1 f l r r a n L - . r p i , . L i r : d . 1 1 3 h F s r E ; { , n a R n d r r . - a e n i i J l

1 j . n e 1 a r o r d e d u a " S j i { a t F e r . - t . L a p l a c e { r , a n a q a h t ' : r n q

nie lb t9r i .k . i in hef f .L ldahen terh i {dap ; rn i {1. i s ;a Aerodin; { f i I : l ia{

M,rnq.rpa ?

rl i pe,:r I uk,:rr urntrrl.:';J Si1bLrtiraLr !

mendapat so1|rsi . p erEat l laan Lapl.ace

b{nr,r l ,x-b.}ndr berl . . -q:ry!r anqlt : i t be|. i l . :L i t I

k'oo

n

tresaran

(d I

ap3! :an f tenLl rLrr

e l i r a n i t r ) ?

yang m(rnLredaltan al . i r 'an iaJ

( seLJFnarnYa ) I ny i l ta l , : i t f1BFird.1{i"?r Lafi f .+n(:rinena

lonLi i s i F:Lt t1 ' .4 I

f i s i . s y a n q t p r . j a d i .

U ; I n c i j . r , q l l r ( n j : \ w a h a f l a n d a u n t u k n o " 4 d 3 n f i o " 5 1

y a n e d a p a L . i t n c l a l s r i k l

i . H > r , r ! r L ' r d r I q t J r a n q r )

7, , SiarbLr lk ! r r1 l , :en,sElku€:n€i . | ronLl i .5 i l ' j :LLt ts yer f lq ancier ke lahLt i ! '

Page 24: Aerodinamika 2

l J , F ' :L l ( i i , ' . : i I i I f1* : { : t -p j ]h .a f l c j i 15n r. Ll vor {:ci:a :

Pr>,tt]

Uu Vo " l-.v;--l ,rt\vrW

h d i 6 t r i b u s i v o r t e : {

i lxe!, :$i{Lan v$r 'Le:L{

y At"

/dd 7,vQ

{ .>.l \t

f l u r n L r $ h a n p o t - . e r l i e i a 1 I l e c e p a t a n d ' i t i l i . t :

p i i c l a e r l e m u n d " - 1 , t r 1 1 a y r i i c l c - , { : i . n i s i l i a n

p e r s a t - L L 3 r l F a n l a r _ r l l 1 ; :

O. ---+ 8.. -t 6

Tu)IR

/.o

P !

ds

$ ' , {XfL - - - : r ( '- ' ' :-.r Y '^' t ' )

d l tsr j r ie ia l i ' : t lcepi i ta d i t i t i l , i

h L l s u r i i - b ) h i L a f d 1 d € . f i r r

sAtLL;r r i pa\nJ;rnq DLt . iur E c l

i y - / t t : , ) t . 7

-io=eG\f L "

[ - ----4--A- ^

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u A\7 - : - - I ' . U

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1"1".aF cr1€lh cl i r - . t r i brrni vert€: l r

is i . l , : . rn seba!]a: i l . r . rLLr3t i : | r l

: ln barvsr i a$i $apanjencJ

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Page 25: Aerodinamika 2

1t: , , RLrmLrGf.. : .ar i pcrt€n- j ia1 kec.- .Fatan di t i t ik p { : l .L-h distr ibLlEi

! J r ' . . i : F r n q p a n c r - l j E l l i f d . d L , : { l n r s i I ' a n b e h q o a r I , e k r a L a n

vor ' tE- ' : r p€lreaLuan pnf l jang Fj.1ne1 dan hq, l .harga kcr ELan FraLla

F a n R l j L d r s e i r u t "

f

: 'j-""1I L*ha | , . ) e

2 -

{u1 o 11'. *1,. l*'.ri'.., x"-.t-

e=frn - t t -y*

i. . . - . ^ A

--- i l V t" f i . txur, -21

, -\- 1l'' -o"- -' !)-! atz ' t f I t t " ' I - x -

a p A t h l p a n e l ( j = 1 , : , , " , , N ) . r i r ' a k a

n{ . .. . r t - , - * " d l .'e"--!u .1.,. -o^-' -1:.,

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r ' -J)1,,/c..-

a,"u^V.^ -- o

,, r' tL,

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