vo-2
solve
Exact
solutions
idealized
conditions
equations
or
for
answers
10
-
4
(s
+
]
((t)
[E]
=
+
the
while
,
real
flows.
exactly
under
simplify the
obtain
practical
solutions
methods
to
*
( ** 5 ) **
*
=
-
CEuT5*** + (E)g + (ie]]***
+
#
characteristic flow time
-
-
=
period
of
oscillation
difference
[]
dynamic pressure
sure
=
N-S equations
approximate
numerical
use
(4)
full
#
-
inertial force
[Fr] [i] =
uravitation force
(re] [ =
tialfora X
=
=
(St) small
&
:
is
flow
is
The
large ?
or
The flow
fluctuation
flow
mean
(En] small : This
.
very
in
velocity
often
occurs
low
.
. Oscillation
by unsteadiness
rapidly
relative
flows
with
the
to
high resistence
.
in
high-velocity gas
flow
where
the
dynamic pressure
larger
than
the
static
[Fr] small : Supercritical
flow
large Subcritical flow #
:
quasi-steady
*
typically
is
large : This
dominated
occurs
speed
but
considered
is
much
pressure drop
.
#
[Re] small : Turbulent
flow
Stokes
large :
flow
#
10-35
p( E 5)t]
-
+
-
=
-
5p + 19
#M N-S
,
equation , E N EX ,
DXEtt FAR *
It
Euler
#
10-34
Component
1. The r
+ Ur ++u *
component
2 .
The
O
3
.
The
E
+ Uro-
#
component
+ Uru
10-38
u5V
=
0
+
&v =
MS" v
:
=
=
0
inviscid
0 +0
=
0
+
97
#
10 4)
-
component
r
=wir
2
=
-
component
z
0
--S
=
P(u z)
,
egz + f(r)
-
=
fir) :
=
p(r z)
,
V= 0
,
Sour dr
=
=
=
=
Pghc + Of C
Patm + 99h
-
Patr =
Patr
+ C
xx
z = he
P(r , z)
Enth
Pgz + &Wi
-
C
=
Patm + Pg(hc -z) + epwir
Matr + 09/hc
hc
=
0
Esurface
=
-
Esurface) + Ohr2
Ex
10-67
& Jets
& Mixing layers
the flow
t
the velocity gradients across
: SDL
much larger than gradients along the flow (t) . This allow
are
in the streamwise
to neglect the viscous diffusion terms
us
direction reducing them to the simpler boundary layer equations .
@ Wakes
-
,
,
#
10-15
s
=
% % 11-E) by
↳
S
Su
5)]
*
thickness &
Boundary-layer
for
a
flat-plate boundary layer
laminar
10-19
(a) False
(b) False
,
,
SE
:
=
#
ReDo
St
,
:
.
O
Mix
* critical = 0 055m
2
6 <m
.
34100 :
!
I
Xturb
=
1
.
66m
.
S
Vit , SE
.
, Ja ,.: M
:
,
,
i
,
.
·
ex
(d) False ,
10
&
:
(c) True
10-78
always larger than displacement thickness
is
22 Mxx
xx
bt
,
,
S
#
10-83
= 105960
5
Re
=
8
=
0
.
< SX105
00
Wout /R-5 *)" = Vin TRY
·
:
Wout
Win(x)
=
=
- W
=
2
118 2
.
-
2
2x(ix)
=
0
.
118 m/s
16 %
10-97
Pi + zovi
& Pu
Un
=
=
Pr + U
=
:
P -E2 + E PU Y
,
N#
P2-P , =
-
PU /Vz-V)
,
U2-VinUn = U ,
+
=
2
.
118
m/s