View
218
Download
0
Category
Preview:
Citation preview
7/23/2019 Aero Engineering Thermodynamics 2
1/34
c0
.E
1
'hr
=
:'
I:
+a
:*
c
.:
:.
,J
OI
CO
-=
=.-
,J: -
c-.
--:
-:
z
':
i=.--
LJ:.i
.:?H iniF,
liar.
ct
' .:.2i,,Y:
-4Tc:
a'o :::
EbFEd.ii
9
{:>81t:
L:",'1or;t:=
-i,
: +
a-
3;
:
e
:
Z i
c
E b,E : ;
;.
V
H
:
: ;E
C-.
t
L
'.
;
"
T
.tg
O
.:
:
: > n
=.9
rr
cr I
:
dHO-
H Y
s
5
g
-s
E : i
,' / :
=
-z
-
. )
-
t E y y + :q -E 9 i
-(^-
d.:ot,:*
+ i >
3
.E 1i I
,J
E ,
tso,ooL
:;.ZEol:.Ezi1
j
; V
a
o
crrd:
r'
ii.'l
'.
''
'll
rr
;
6r
',
-j
'
4..
*rr
:
-
d
E
t
e
2
-
Ii'ir
l-i'l;r'i
,.1,t.:i
Io
I
ir:j
O
c
':.
:
ri,
N .
I
i,
j
P,i
Ea
cco
a
P.l
O;
tt?
i-l
-
t^
cl
.?a
t. .2
-"
:cv
z-cataa
lJ)ai_r
L
s
d
11
.)on
E
t I
o
r.l
cd
r,r
t'l
ri
E6
I
ry\ A'
s
aq
;1l{-.J
r.:
\a
q-
\-
:1 .P"
ql
\t/
\n
-J
C.a,
0,
7/23/2019 Aero Engineering Thermodynamics 2
4/34
.J-
lrr
6
q
5Ldl:
oo91--:
-1.
\J
a
\L-I
e3
'r.=
A-.Y:J
' hr{
{{2}
c*
cC,C)
n:
(-L
t
-
\/
r
v
+
^l J
|
I\J
\)l
.>
^l
/
rt
JI
.ol
}\
X
\J{
r\
rrl
cl
\re
A,U
Cc\
)U
.()C
")t
L\ }
9l^\
el
v\:
x\ r-
-o
-o
oJ
(
x\
:
3;
a
:
i
s
cl
-
d
\ C
;
L\
;
E\
K,S;
J
T-
\v(
\-lU)ro
C\
c
:
s
i
o
\R(v{ri-
^ \
J
$'q t
c{
r{-tp:c'
9\ .J
c
i
L
d
t
\)\""ott_A{
-t-1\tA
tz.l T
4
-r
\
"l
U.4w)'
'rl
d
c'-9 I
:
*\
sf,:
i.a
:
I
l
>v(
L'l
) O t :
\Ce-)Al*
+r n
't-
v
+-
e\
+
, d
o.
:
\c >:c;
-\
d
q'
I-.
.
3
.. 1
I
-
\C)i I U 6 q
2
r\
I
'e
e-
d
u
:\
V
: 9
C
Y
c\
S\ ?
F
J{-
cl i
'l
1
{
D
a_
ur)
-1_
G.-l
\
-f
J
r-.l
r
F--
x
F
o,i
o
ol3
g,sl
*\g
-,1
.,'
I
s
dlo
rt
F=
6l:
dJd
F
lr
A-
:t:
A_
O
u
\
A^
I
a.J
cl r
r
c-
L
q_
a
t\
rt
,,
0l
1^\
A-
O
U
tl
A-
n
7/23/2019 Aero Engineering Thermodynamics 2
6/34
i
-0'
e
g
\os
d
t"N
\-s
o.\
T)
E+
ts
e
.i-
A
/\,
N
c
)\,i
I
L
d-{
b-l
qc
{-
ts
S1)
7/23/2019 Aero Engineering Thermodynamics 2
7/34
t-:
I
\*
L
f,
-c
P
-t-
c
n
\:
a
oi
L
L
t
t-
i
3
+
g
"ci
F
t
I
t-.
t
c
\*
-(_
t-
AU
-q:
L'
l"r
l.- Ji
c
..r-
-C
A/
o
i
-qt
,v
u
-.
oF
a.\
,2\Jt
Yaw
al L,
vs-\-
).-
.i. v a\.
r\{O-/F
C
rJ-
r? ('
UC.OcJ
n
v
V
-lJ
q\-
-.11
ra
\-
+-
,(\
L
\r
n
tr
\--l
\Y
(\J
vi
, /\
a1-{-
\-/
-c
.\./\
\,
\-./
-
)
.t
t r
l)
\
a
_t
c
oJ
_i\
P,
s(vt
-,/
v
f"
tXr*
(,v
f\
u\-v
}.
-F'
e
-e
C
p
tF
,c{
L
l--
\)
l,
a
J-(s
_r.
a
-
,\
:\-
.-
7/23/2019 Aero Engineering Thermodynamics 2
8/34
t
l^
lr
rl'
c
Y
e_
a
\j-
.--Poe
rtkl
a;frnl
o-{xr
e.\I)
ev:\)
-r-il:
nU
\l_
xc
L]LV
{-}
c
c'Nd
.l
[-,-O\'
q-0
+
Cc.I
-l
^
n
\
\- ai
( o'v
=JAl
c {
c
tl
tf)Uv
--
lcr
.J
._
coo+-\)
sci)xf
)O
-PEq/)o
a1
c-qb
^-o
c +
't-
C-
.\
:
a
L
r-
-
ri
\
q)
,r
N
t-
d
q)
'>
c
U
rP
r,-.1_
.ll
^l
Ql
FI
{l
'l
c
c
{
a\)
a,
LJ
A.
a
.
e-
Q_l
I
I
vl
^l
l
-'l
^t
l
cJl
JI
--t
-j-
I
- l
\il
't
ol
UI
I
.-.1
\,
I
-t:
j
i';"'3
\-J
csd
a- it
-:
v
n
:C:3
s
"t+
x
-+J
qJ
:\
sc-\'Y
s)qn
L\Jnl
qv
q":
L-i-C+
a-
c
aV
(\
,t
--
r(J
-l-c
.tt
\U
ua
e-u
'Cd
r-q
"
.U
.C(v
"a
^a
J
^ orz
_y
L_
-F
-i-
i
CO
rd
l
'|Ji
\ o
\
pl
Fj
oi
U
:
c
q
'c
"(
(.
i
=
:
T :-:
-,=8*
-r
e
-c
I
C
a
Yrs ::- ._:-.
:
frqJCtsat-
i
N
v1
SaL
t
: t:
.-
I
_
'
a-: t)
:
i
t
:
>
:r
J lt
^;
rc:J
:
:
3 Y
sl';
u
I
v
-
:
:
3-i9(3ii::;I::
g+:*sq,1
f
r.
r;
.,'.-t{s3;"i:r-L
;
g:.n.orEq7
is.:i
L
F
t:
[
$:
s
i
E
c
i
tt
+;5cI.L'td
qtlA\
i
:o
.,
t
I5S"i 9 P ;r
:
--\
)'
.P5
r,
't
|
-,
i
q
{ $"
E
L
;\
q;i:td$ttt:;;"\E
L,*q'Id(,
1,:{s)'t6-\
*
o^7;:e. :Psn,i
^(, F\p11U-r.=\-
s
-i)
LL
-\c
+
l_
FY
Ct-
+
rJ
J
,,o
et
a,
t-J
'-
,,1
l,
Y.
(
C'
0r
F:
^+-
I
(-j
v
\_
\'
-
eo
{--
-t
vsi
:?
.?
Li
-u
c
{n\
qa\
.^,
L-
q-
ol\
vl
a
ci
6
t
-
I t\,
) \ r 4
^\1'r
X
-l
-L
I
'F-
-i-\
\l
n,
IS
1.tsIF'i
-l
V
r, I
rlI
cl
-2
nl ri
\JI
\J
P
le \,
-\
*)
) t\ L)
-r,-
I I
/J
-
I
^t
-l
q
\
-
*-i
nl\l
-
t-t_
Pl
-
PI \
+t(
(nl
le,
nl
Y
\)o
("
i
Y
o
a\
+-
t)
s'
o
O
\
t-:
-\
-v
,
/'
,.J
-.
*
n,
--+1--
=-
I
I
i
L
\J
J]
-0
U
C
o
)+
V
F
O
?
ivt
q,q:-t-
P\JtX
i\
ralor
(s
v
.g
O-O-).\c
n\^
tJc
trt,
Q-CA
a\L
JVV,q
t+---J
^ v,-lr
t ) \
N: Y
-(_
f
od
'
eu,
o
-1
t
- l
^
t t 4
,rc
zttl
-$t,L
q\
qJv
c)
i--
[--t
CI
-r
i
r\c
a
F
^d
l^N
ul*
L
-ll
llc
cl
^d
ln*
r-
a\
I
t\\
L\_
I
r
I
r l^ \
cl
/\
^,\--
N-'\e-
a----
Ui
Ll-
l-
-l
l
l-lc
I
ll
l-----r
'\.
t
cr
^ml^ri
rL
j\
d
^c{
t\_
l^
-.lt
Ll
,^
l\
+
.
r--*-l
dl
t\c
al
^l
o_
r
,,
T
dlc
tLti
/>
I
\-
-rl
I
\_\r.
ll
1
J
c)
-c
I
c
qJ
-c
\--
.lr
-la
l*
ll
i
C-
L
,:
--_)
LJ
o
(_)
\)
..
d
c
-l
s
\,
-\-
.
-
Pd
'
1{
JO
,o
x
J
A
4
\)
^ts
\
N
-b
Q)
--{
,-\'-,-1
\
-i\-
I
c,
a\
\
.c
c-
i'
alld
.JLi\-:
{'airf:
llqdq
/
o
o:
-a
n-L}J^fl
-irvLLaJ
i-:
f-
/rl
I
|
-lc
t'"s
---.-1+
a'n
t-.
d
rl
---.}--
c_
,C
vY
.o
\-
f--
e
ev
-{r
c
qv
q
\.,{J
s3Ac-
-Jr\
a\V
.J
,^\{\
W-LJ
a^ .SId
Nc-c
rt"J'5
,v
-l
^c.
a*
) $
-Jki-]]\u
do--
r9"ard
Q
*c
.L
L
rJ
a
+
L)
al
c
o.-
7/23/2019 Aero Engineering Thermodynamics 2
26/34
Jr
a
t
-L
-
o
a-,
\.
"q
LT
.L
e
J
oi
ul
;
t
\-
c
+
e
c,
(.
,a
u-c
i
:-
Lld
r
a
(dii
c)
i
t
".rld
C
-t-
\.
"ll
\.t_
'a^.>
J;
-
A
'-\-
LC
:.
?
E
,r
t(-
U'\
1
I
rj{
1
o\
T\
c\
)1
c\
I
,\
Nl
3r
5
z
J,
oi
{
q
^ts
r,cl
G_
\tu
^l
'I
iLdl\
_+-1.
.^/
-
i+ r
-\
-1
*l
''{LV^q
N
r\-
G
^ai a
^oi
L
)
\)
-F
e
T-)
^N
_
{
ll
ci
{
\J,^
d-
^
l\
L*.\
r)
u_
A---
.-/
il
(I
]
l(
{
v
a\
lo-
I
1 1-
\; \ .t
-\v
Ia-
\ cS
,,,
c
c.{
o_
I
- -
^N
t\-
$
cq
L\-
N
.(\d
lf
+
o
c
q
.t.\
x
oq
ds
it
c\,
$e
{
cr
\c
-l-
.
7/23/2019 Aero Engineering Thermodynamics 2
27/34
I
It
a6
cr
*
-t-
o
Jt
.c,
c,
_vl
r-*l
Ic,)
l-
-l
a
1d
-\
U
1*___J
A*
16
r-r
cln
crl
l
L_)
6i
T\U
-
lo-
0\
t,
rri
u
q-i\
-tt
ur
w
d
U
..l
'.,
\A-
-t
qla
a_
p
e
aV
"
7/23/2019 Aero Engineering Thermodynamics 2
28/34
il
c{
a
7"
j
O
,c,
.,
\)
a
\, 7,
./ hn
v.l
-ri
"1
C
J t)
Ja
l+
r-_]
, lc.l
',1
6
c,
I
'
:
c'J
^
lq,
\t
-
iQ-
0\
7/23/2019 Aero Engineering Thermodynamics 2
29/34
0-
.I
{
t
-(
(
t
v
6
l_l
J
P
a
ti,
--
L.
o:
(
-ll
J/
\
(v,
.J
a2
N
a
AJ
a
a'
q,
F,L
;
\
g/
' (/g
.tO
.Y
\s
,.:
/
a"
C.
r,
.L
a
r
U
^t
,\
4?
.
- -\
c JO'v
a ,.1
\a
-P.
v
vr
--
d- .) ,
l
JA
\iqx
'J^\\
..\u(-c
^
-a
\/-
-a^'4
\4J
t.1
q
F.S
-
\-J
J
/\
v
{J-L\
'.t,
\L
\a
-f"i
^l
r(
L-
vJn*O
t,
U\-
v9
7/23/2019 Aero Engineering Thermodynamics 2
30/34
:-
j
c
I
i2
't
l\
^\id
Yl^
:IJ
Jle
o\o
^lA
l
1\\
\
U
\J
q
C
Yb
cL
\"r
a
{
4_o
.i.-
\-l
\,
T
U
E
J
o
\-)_
Q()
.-
7^
J
7/23/2019 Aero Engineering Thermodynamics 2
31/34
c.J
e
-r
c
c
*
-
7/23/2019 Aero Engineering Thermodynamics 2
32/34
.{
ca
m
/l
A.
L\/
/
/
i
^\
\
-
u-
a-
-?
t
s
llr
o
e)
(
a
o
a
c
-a
q
t:
J
A
a--
\
{-
I'
,l
I{,
v.*U
"
-c
\-a
=r
"oc
7nv
.
7/23/2019 Aero Engineering Thermodynamics 2
34/34
I
-s
v
t
d
1r-..
c0
{l
q
c3
q
C
p
ll
5
o
O
Cq
tI
tl
\./
ql
"?
U
s
\a
'
fLl
U)
, -
(t
,\
\'J
0-
\v
c
j
uL
a-
v
\{
ca
\r
Recommended