MS387 Kuliah Aerodinamika I

,/ r(ol -) r!!"

'!ry\^*A

wt't/on

d'1"*' ^ t",',1"'"*

.'l
J

d.',i^

?d ll^

",.t^. Lrr*""f
.i,t-,lon^^
;
i,

^

L'l r^

i
,"/irr

^,ln^

rtrc',-".5 ?.tl r,/ cV d M^6

it^^-t/v' uw\^5 i4^^

d"^a^4"**-^^^{t,'
1V4 6,t^.,0

E


lll

' 9tlc^l^ fJ*"\^,.


5"-,. u*d"^"^i*

^llrl ,'.r"^d"*r,.Ar.. ^-^t5 "' $*t'

*4'^^
*t'ta^6t'nl^4,r"'

A oJa"v'g'"'gt-w-"e '^;!fd"
x ?u^r,,uloo^,^^.^,-.,
vu^."[*
:.ot
'Lj/r0d//\^dAa^^
' 'r
.l^a^3or,t J^
5tr,.^j

1^-,u*rU,l^uotlt" ***

VUJ^


ee (

yw'h*i^r'^

.2odas'Ta'f,
--'
o r
ti ,.t

*r"'^A^a\A
&L'"Y - r$t'^ril^L{M'L^L

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

*14 'tnkAq

J
(
%L,A^4
Lilux*aEa*+14-L
c-B-{^
,6"-^,1Lr,r,..,,6r^-^.
L
ln{""
I
r,.,...tn,L,.r
tra-B-{l
fJ^
"ilr,.

,-e'.A.:q)>

,t-t{r",lr-.

!


-, V"rli;4tr,l
oz 1 ?alc. "nJ , ow!,,, oi,tr^,r,r".41,.
!, ,* 4q4., v.[,nt {4rp6"[o*6^ .s^" -7c,x]"

e*u^+_lW,[ra.asbe.,lttr
r,-,a, hrU*&i*yy*
qr'n ah.\^^ sa^/,pt(,^'dr,^$';"n
' tl\i

dc".r,rEp: o, v\ aul
!i/t^L!
v")Yqa-a^ '
'i!
Pcr"^a+ g"da [wc\

j. T.-,t
tt +C,ria1g1

.
CPvv+!. nirunah


14 i&c\

.k: ,YI mTT;

d u"^t1u' 3u""- o ' *',*i

"-

I^',-cl q

&4,rLc",^,,

, JJ6'

h'a^'''t^ '

,a\u"1"

t- \il*C"-,

3 '

';:A

M^

IArJ\k^q

, zlY

'fu'

f ''rr'l' =('J')1"))(:!'l

*,,

^t

a> \\t'tryjt4


7W

1 tl'l^xa[^ 'u"^ /Lt*"+v"e')
' dt'n^n:/1

u'tl' d- ^ "JL-^fu^
to"^1
^'^ L"t"'
t'vui^
/Jl"d^^
&",]l't"'t^
l.,no'
t

€q^n.\

'

.


l. 3

tTA t, KE
^t

'
"tb' Y'{r^

d'

V;l^'k

LJ.3a
{ a^3 Kat

PLt.1'aL> i

'
\''eJ 1 AU/ c^'-'


\' tO

t (.p-J rwur.t,vt

M o La ;4". \-

r/s AL!v">"'

tr'e b: I

y: -*efl:"5
'/.''W+**;-r,u^.J
4M,,:*^f
*"y:*:tr^
d
##Y
i^d4\ A^I
Aft-{
F"ilAWr
*F^tu^iil

H.^r;
-,
v,r$Qml#ffiffi-j,fi:"",ryry{.^^
i.{rd'.^,eU,4,/
{*
ilrr. g",1,.k ^..drlA r"-ts
0r.^^ [ n.,>>air_ Atua_-:._._
A^.^h^t[r"^^dI ?Lw-,J&",.^ &nutilr-- bI i hdtl" k^ ;'!^',,^
'
t'
i /v\
r'0"^ V^+ *,'"ltl^'t
'1''r\'4 'il*^^
1,5 *rt.ol^io",-^.
i^ l'{'d td a"'\ 'U"k
l
dr^^^ @r
e^^-Yr":
.: Usn: - dit*J'\ 4l"b
&5".a5"Ja-

*.nlc-

;1tr4ferA

1.,

V6

',

V \ 5e o 1

- r..u\,

L"-

*'ta\aLr' '
*"'^^Efr't -> Wiap"l (*:\Lf:
s
rzuqo[
[h^lu
"
" **^---^
lcn^ ir'- 7"^, kw z^d^ h""'ai, l' U^4uAt^*-'
"i*-"t
\''?@A+u^
t'
;

Vr;";;

U rv - '

t i- ,,,tJw,J ^ t^r-k^lLu-Pi"it^,.//.,^',
PA.^M
tnvp,r*"l-" t..,t..
fiu"^ ..t..^..t,.r,.;11,,,t
144-1fi'u' 1]M/1i*'I
*,..'rt o , \t..-^.^.r-t
L od].^ 1r ,r^^^

0l;","^^,.^X'-*-+^1t''lt;'-'

i^d'" '4
$L yAu^-*""^

le\[

r,^
r.)nau^

,1",1-;l ,t^ eultAc-.

t,.,

L** l#* ( ['t'- lucx

Covpa,'sv'^L

t\ tg^z"-"x

-- p- d*-el. '*
0o^
M
9**5,J
\liJ,r
*
o
,*?^^
q" lq--lo*
A0^
lc,r,^^ ^*fu^i^Ju.0r^rt^^^ d^*d' 'rt,r|t

tl {ril"tr-M^^ 9J^,.
^r,,g A" l, ^J r^^

Wt\"
. ,.|^fuU't! 0' t-*

t'(' ^Jrat^ u^djtYtt'itt

3*5"^ Ilio*
$Jar' r]'tda','

-\

'ru)A"*t y,r*

\

\Aa/k..^"L

S"u4ltl^t*a

nLi,{wo

k^^^ tr'&^,*YY..,
t.tr. Cat zlev-' gelevrah' W' ^5"1T;
,.,
rlt^^
*t'\d1*
tss^"v
J/a
t^^,..'t'
- fu)u 4, yr*
1b^)':

^trry#dffi*#:W^a5www

1 tz'

y l n ^ nt ' t J t -

'T^J. 1MJ,', l'$, '&i:
n ibs""-.i{eq.L\^/,'
5.ry'

'

",',''

e^ u':

.

L'^ -'n"'"*

- (-"
e'l't\"e\
tut,-'
lt€
ra''
\ilr''
c1's\atu5' tu7 ' ': tr,)

(f,
-Cpi\xA
J,\'r'u'

f" I
/1F,

l::(

cr* -

l'

n-,"j
al . e^*, 1 " ' Y.
+'^<
44 ' @"^

"

_

(

I\ea.oD\\\r r\- |''r \r< A tr ,
r Ar\ T
K u tL t e - t

..

$uL':\r

UasLE-B
I 5qL^.6^5^1
* Ca^c{

h^r_^r

o.ln.,-lj1,.

(,^lr-,1,rloy^
idi,\ a- gi,lc,3rr,-

i ui,. au
r,t&r,v..:
r

-qI^

"L r,Jr^sr,,'rry

@^/'7''.t*,,^Wn
"k"^8-f u, dc.^ ^,n-,

,m:i:,#;'r:i,
u'L*tr;
trWi*/n ^rM:

, ,r,uatilna^-t-fu.gV^
n

2 rt1ryJ^n; ')r\itAl'.o b5^^@^

*a-,L

rAr^^5 t rn__),r

lu.la,p^kMoXr,^ ^"rl'J'I

tfu'-r"^'-itilaorX/a,t" uricu^r"
,tt,,"rd" eTt p
L, h^L;'hL^-'|" ",-,]tl"vb"Y

0

<

\N,t v4\j-J4i

\e1

1

*

,\

.nli,L'1,^

a t't'"^'

b@^

d.-t&-,-

,4

i

fuf,l'^

eLLLbAL

-t RLe..t a,.,-u = &: M

^f*

-=ffi+_art

: At

[q,t?'l :L -rA

I

t#^

^L

"**

t
€d

W9-'

tLo

/

.,^t"a"'W/

Y
&

,,

," 1 -; h"lu"

p\ ( d,i

Lo;'-

tv.(1.1r@,

!u^*r*-

C*-"te*
.,,,

(-_-":,-=

'._,k&a[)/-d"!,^dl

!+,lu[ rsZu
wup' n , Wet&|/ra^

^t^8-^. tul
" ,,
4.t^r.,{7-,Lba"l trYt'J^
wJ^^ltt/uj , 5^d'r ,

in

^[

t ,nul,- i"*l.nluti4,^.t

b ?6d,.^j"4

v tl,u,t V4lvt'.r c. \'rI1'

$

vtduuPt'^, +utt"s^

I

-)

.

->l
i

@

.

z/'

_^\-..,.-'9*t-nu-)lo,^

,y_,
"\i

i\ oc^

1
b:,J!h"4 J!?!!Y
.il

. AX""/c"^^ p' 6'qJJ
.lln

: e "^ dro- l4J4\-j:!u{ir,, , B ku

ta t'< '

\t

.y

A:i

r-.

'Y]il

Frr I ITR

MuF{Ar.1flAO K$5t!

) z Q b3 '
MFSrnl

\3. i-\3t
i! ,, ,.

i;!-4 \a \\

AE AO Nlouf \ K

M 5 -281

l:.r'IC1:1UT UiIAr\

-fiA^r-^J,.oX o,i,,l''l^
A'^^r'j. ll-u

An -.o,^,^

u,k

PA
",uv'"b^

"1Sri

ritt p(
l C^tu4..

dur* Itrct MrJ

}1\-'
4^ajt
.t).

qq5ci5cv.
flA

tv\,\

g.qj^" gi^fur,^ t5tx'^a fu-ad)an
.?cr,- !tn^-4rr.,.r^ , ofS .
\

l

*oL.^ ls?f fa c- ilJ I
| - d..lr,x

t -,

-t&
6,r{^.tJ.cr,r,,
tlL.,t\S
.

- fuec4(\rl,..!xl
- lL^i^^
.
")\^ul
- rq,-L[.]^ix,[

ililff I ffitry|1

*^...*ol*ut
-.^.t0,.
-^^.Lrh

gtltugi" t h,-rrr \
4,{ eNJ

- Aalria*4*L
f.b^*rt
-

r

'
,@,a,.an'^.
'!--'l
-r{"J

^ -,

1lrq-.J

!,t;*o l" ,t@q,h"^,"i'

, -,+sc^taf c^,[r^,^,-1r""""&dJ.cr*"*T
/l^o\ st,r."U6d
5
-.

'^"',-{.,.
,Arr*, tor*i.

-Y
t,

t

3buo"p

'.9.}..

I
i

$

. .JgJt..))
qP
r?"

- A.,,ilf
rh'

,,'-;.*v

v:

rl

c\A/g\k
,v!. r"[1"!A

^.vYrV{/V\

( \{!^Xpcuor1,\ rz\

li,^.em,1".p.,ro"*,.-;
o"J,J,'L.
,-!^qp+ +,,

eX-3

Lr40,x-r ' \-d, ?ol" Ve
Ii

3ap

{i,tu - vt" W7
6ru^q 1't-oa

Yq,

U'JIAN A I.:FIIF

{
!

Ael.odinanilia
Senin,
!-L1ang :

I,

I.a/al:Ler

islrl.

91:1

lo.!l

-i'

I

.h

paEi

liF

Je;

Fnr

lin

sayrp

L(rr,

ts

Lqvel-

19Aq

r

$aL:tu

i

f'ls-IiB7

.lanllari

14,' O

--l

rFr-4rnn

-

ln

cho|d

I

'tr'L'r

PFo

I
1

:.

li

r

n

Lir ryr.rnE,rn
rl-"rn

=:lfE

B

= \.d2:.2

r!e-!

.lFnnrn

hFrlp.lFh

r,L, ran

anqrr

=

T

= ?sa F:

Sea

= 1
":?5 !.,:/o= :I4O m,/E
= 1,:E94

s I i rsn

,..!.-qJ+-dl

nE,r:n

Trn j

b,

in l,:DrnFrFE i bE I

rc'

rcL(t

dsn

'

i{ .1l]-5 !iE1m/=

ir-ois=ion:1

dengan

vl^
I' -,

:

L5-r-5+i-

rrnir

l.:t,..r.n b . r h ! . r EE l . r r a n
ri-flr!:f

n,rl_F.q

I

lerseh|rt
r/d!

rru.5

rt

i-.tn

.----1
{,n^ \i yr15z

t-r'qFb,rt.

iFotasiDn"at
:r.EL:J

nrr;q

'

)d-}!

Leve I

tfl

U

!rFJ.F

I rt i nami L l

tFroL,{onqar

h

n1-<

1-;3rl.rtsLrnt4

tli--,r:fer

nr

rn:5F
rlr

,n

Fnr] ' r

!

:

Esl-i

Lr-

:.-qin.

drl:r'

= ::t-rr-lll rr

h

l,ei.n.rri_n

t r.tt
!,'

F=E.1i4'ai_.',^

t'

rlinFFlrrLrh
d 1tlp r i kan

i

-L.ctL

'-'

I oc@Frt_ar

rJrn

'rodFl

m1

n,'c

., !.',nfln' 'hn J:
lEa.{ri-

17.ilo

:.5

Lcho,'d

,r-rru
,lEnf,

I

Fl

.
Jrli-,;4r

!-rr:>

ir,ntFnqi:lnv:

lflrFiq

,lFr

fl

r,

,lin-tFF Bc Z\cJ
llr R

-. M€

o " r a ; . . 1 m . . r n R l , : . "Fh- F | . s : l , n a 6 n L - . p L - L P

rJPrLrliu

( 19l 10/AAl

nu1I

S r.u.

,7 E
"
"'s

,
Unt',,

&..

al .ran

vrr\,-

o
.a\-

,.^-

,6^b.

tiarlar rnan:, lla!Lan

.

*,.1q4(n poteng3i.al

rrLi.s.1flrran

:d.113h

dua"

Sji{at

heff.Lldahen

nie lbt9ri.k.iin

Laplace

Fer.-t.

; r n i { 1 .i s ; a

terhi{dap

?

dr r.-ae niiJl

Fsr E;{,naRn

{r,anaqah

t':rnq

Aerodin;{fiI:lia{

M,rnq.rpa ?
rl i pe,:rI uk,:rr urntrrl.: mendapat

k'oo

';J

so1|rsi.

p erEatllaan

Lapl.ace

!

Si1bLrtiraLr

n
b{nr,rl,x-b.}ndr berl..-q:ry!ranqlt:it

be|.i l.:Lit I

(d I
tresaran

ap3!:an
eliran

BFird.1{i"?r Lafi
lonLii

si

yang

ftenLlrLrr
itr)

f .+n(:rinena

7,,

al. i r'an

iaJ

?

f isi.s

yanq

tpr.jadi.

( seLJFnarnYa

) I

nyiltal,:itf1

F:Ltt1'.4 I

U ; I n c i j . r , q l l r ( nj : \ w a h a f l a n d a u n t u k
yane

m(rnLredaltan

dapaL .itnclalsrik

no"4

d3n fio"51

i.H>r,r!rL'r

dr I

l

SiarbLrlk!rr1 l,:en,sElku€:n€i. |ronLl i.5i

l'j:LLtts yerflq

ancier kelahLti

!'

i

l

;

(Ol

tVl) dfrngan EtreainlinE

s L - . r e a m+ u n c t i s n

L-.rpi,.Lir

orde

1j.ne1ar

keceFat;tn

l

qtJran qr )

lJ,

F':Ll(ii,'.:iIiI

f1*:{:t-pj]h.afl

15nr.Ll vor

cji

{:ci:a :

Pr>

,tt]

UuVo" l-.v;-l ,rt

{ .>
.l\t
f l u r n L r $ h a np o t - . e r l i e i a 1 I l e c e p a t a n

\vrW

d'i tili.t:

piicla erlemun d"-1, tr11a y riiclc-,{:i.nisilian
p e r s a t - L L 3 r l F a n l a r _ r l l1 ; :
O.

---+ 8.. -t

h di 6tr i busi

vorte:{

i

v$r'Le:L{

lxe!,:$i{Lan

y
T
u)

At"

I

6

/

dd

R
/.o

7,vQ

P!

ds

$
-'':-.r

',{XfL

sAtLL;rri

('

'

'^
t')

Y

dltsrjrieial

n.J h L l s u r

---:r

di

i':tlcepiita
hiLa

ii-b)

DLt.iur

i y - / t t : , )t

E

c l:ln

.7

-io=eG\
fL"

[

r0

-

----4--A-

I '. U

1"1".a

l , i F cr1€lh cli r-.tri brrni

d 1 d € . f i r r isi.l,:.rn

f

pa\nJ;rnq

titi

u A\7-:--

seba!]a:i

barvsr

i a$i

l.r.rLLr3ti:|rl
$apanjencJ

,l'- _l- u
',6^
l6 "t''lo-

^

4
L

4

, - .- l

.'&' (f>Jb

J)

"ztr

' r 1,,

sr1t

' 'la

r9+x*'
Q),

:.i

vert€:lr

pcrt€n-jia1
1t:,, RLrmLrGf..:.ari
!Jr '..i: Frnq

pancr

vor'tE-':r p€lreaLuan
FanRl

j

kec.-.Fatan
Elli

-lj

f

pnfljang

di

p

titik

{:l.L-h

d.dL,:{lnrsi I'an
dan

Fj.1ne1

distribLlEi

behqoar

hq,l.harga

I,ekraLan

kcr ELan

FraLla

Ldrseirut "

f

'j-""1

:

I L*ha

i

| ,.

/.{4

...-.^A

V t"
z'tf I tt

hl panel

n. {

tx

fi.

, -\- 1l'' -o""'
E i . la t e r d a p A t

(j

=

-' !)-!
I -

1,:,,

at

x-

", ,N).r ir'aka

. r .t .-

,-1:.,
-*"
dl
-o^-'
'e"--!u.1.,.
'Jit

)1,, r '

-J

Ca^a

t-y*

)e

2-

---il
-21
ur,

e=frn - t

.

'- lt

"-,r^ r,^-(,, y1^^l1a

/a';',w r g-,L

/u.J -

/c..-

a,"u^
{u1o 11'.*1,.
V.^ --o al*,

l*'.ri'.., x"-.t/(/

)

)n

,,r'tL,

9'$k-

\$
,t

I

-v

\trq.

/\.4

r-($
\,/

> 0'\"
'
\"!

4

N

J*^
\(

"Vc
-/

\-

a"4

,ua( ul.L"l ,t.L?n,al7
t.(.
,\

t::