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< "*" VV
V
+((+
L*:4M
L*:6M
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-H 3 Z H Z $H 8 2 Z !H # "> <O
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8C !H $ H +(() Y )(4:
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= 8 AC . . . *
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a
aij
at
b
cp
d
dh,0
[m2 /s]
[Ns/m]
[m2 /s]
[m]
[kJ/kgK]
[m]
[m]
dh,B
dh,c
[m]
[m]
dh,i
dh,k
dh,tot
[m]
[m]
[m]
e
eA
eL
eN
eT
fB
fBlasius
fi
fk
[−]
[−]
[−]
[−]
[−]
[−]
[−]
[−]
[−]
fGS
[−]
fRehme
g
h
[−]
[m/s2 ]
[kJ/kg]
4"
# D 2 $ 8> /
# D . /
!0B . / 0 C / C 3'
C / C / C / C /
C / /
/ > / / / //O0 3'
//O0 3 //O0 / //O0 / C /
//O0 2 ! //O0 *45
@/ 0
k
ki
l
m
mi
n
n0
[m2 /s2 ]
[W/m2 K]
[m]
[−]
[kg/m2 s]
[m]
[m]
nChiu
nO
nW and⊥
[−]
[−]
[−]
p
pSystem
pW and
q
s
t
u, v, w
v v
vax,0
vax,B
vax,c
vax,i
vax,k
vef f
vi,AH
vn
vN
vquer
vquer
vquer,max
vquer,Zentral
vquer,x
vquer,y
vres
vs
[P a]
[P a]
[P a]
[W/m2 ]
[m]
[s]
[m/s]
[m/s]
[m/s]
[m/s]
[m/s]
[m/s]
[m/s]
[m/s]
[m/s]
[m/s]
[m/s]
[m/s]
[m/s]
[m/s]
[m/s]
[m/s]
[m/s]
[m/s]
[m/s]
[m/s]
vSpalt
vW and||
[m/s]
[m/s]
w
[−]
# / . /O0 / >
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8 ! / n$ 0
/ 8
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/ =0 . / /
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/
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wij
x, y, z
y+
yij
[kg/ms]
[−]
[−]
[m]
8 > $ . 8 0 "/ 0 / A
A0 − A3
Aax,0
Aax,B
Aax,c
Aax,i
Aax,k
Aax,tot
[m2 ]
[−]
[m2 ]
[m2 ]
[m2 ]
[m2 ]
[m2 ]
[m2 ]
ADraht
ADraht,ell.
[m2 ]
[m2 ]
ADraht⊥
Af f
[m2 ]
[m2 ]
An
Aneu
ASpalt
B1 − B5
C
CChiu
Cf,k
C1 , C2
Cμ
[m]
[m2 ]
[m2 ]
[−]
[−]
[−]
[−]
[−]
[−]
C1 − C5
[−]
CN L1
−
CN L7
CN inokata
D
F
FDraht
N
FDraht
[−]
9? $ Cμ
9? / 9? 3'
9? / 9? / 9? / C /
9? / 9? E? 0 !
E? / !
8 ? ' = 0 0 $
8/ RE 9? 9? ! $ # $ $ ' / C /
$ 2
$ 1 1/
=/ / #0
$ #0
[−]
[m]
[N]
[N]
[N]
$ ! $ /
1 ' $ @ / $ *4)
'
@/ 0
T
FDraht
[N]
F
Druck
FF eder
Fin
F
Reib
FRehme
FStab
A
FStab
L
FStab
[N]
[N]
[N]
[N]
[−]
[N]
[N]
[N]
F
Struktur
FW and
G
[N]
[N]
[m]
Geg
H
Href
Hyp
K 1 , K2
L
LP r
Max
[m]
[m]
[m]
[m]
[−]
[m]
[m]
[kg/s]
Mi
Mi,quer
Mi,quer,ref
[kg/s]
[kg/s]
[kg/s]
Mi,quer,max
[kg/s]
Mij,quer,turb
[kg/s]
MBE
M 1 BE
4
M 1 M od
4
M 1 Spalt
4
Mtot
NDraht
Nk
O
ODraht
[kg/s]
[kg/s]
[kg/s]
[kg/s]
[kg/s]
[−]
[−]
[m2 ]
[m2 ]
# / '
$ 1/ // =/ 8
$ 1/ / 2
/
1 ! ' $ 8> / ! ' $ / ! '
$ 1/ !/ ' $ 1 2 = ' $ 8 0 "/ ! 'H ! E
2/ 2 ;
0 ;
C
$ 30 Q "
" 7 / >
" / 2 9 / 0 ' 9 / " > 9 / # 9 / / K
" 3
" 13
" 1" / " 1! " / / 80 / #C /
A? ? *44
@/ 0
Of s
[m2 ]
Oi,ab
OStab
OW and
[m2 ]
[m2 ]
[m2 ]
P
Pel
P rt
Q
Qdif f
Qkonv
Qi,ab
Qi,aus
Qi,ein
Qi,quer
Qi,quer,turb
Qi,zu
Qi, 1 Stab
[m]
[W ]
[−]
[W/m3 ]
[W ]
[W ]
[W ]
[W ]
[W ]
[W ]
[W ]
[W ]
[W ]
QStab
R(vres )
Res
Sij
Sk
[W/m]
[N]
[−]
[1/s]
[−]
Ti
Ti,aus
Ti,ein
Ti,Start
T∞
[K]
[K]
[K]
[K]
[K]
Ube,B
Ube,i
Ube,Stab&Draht
V
Xi
Xk
[m]
[m]
[m]
[m3 ]
[−]
[−]
4
$ /? 0 = 3 / A? 0 . / ! ? A? =0 $ / . ! / # 0 . E
D . $/ . 8
' . 8 . . 2 8 # 8 7
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9? # / 8 / / ! / $ " 0 ! 30 3'
30 / 30 ! 1
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α
αi
[]
[W/m2 K]
αM od
[W/m2 K]
αSpalt
[W/m2 K]
βth
βturb
βDraht
[1/K]
[−]
[−]
γ
δ
δij
∗
h
M
∗M
ζax
ζlat
η
ηlat
κ
λ
λt
λStruktur
μ
μt
ν
ξ
π
ρ
ρStruktur
σ
σk
σ
σt
τW and
ϕ
[]
[−]
[−]
[m2 /s3 ]
[−]
[m2 /s]
[m2 /s]
[−]
[−]
[−]
[−]
[m]
[−]
[W/mK]
[W/mK]
[W/mK]
[kg/ms]
[kg/ms]
[m2 /s]
[−]
[−]
[kg/m3 ]
[kg/m3 ]
[N/m2 ]
[−]
[−]
[N/m2 ]
[N/m2 ]
[]
4"
./
. ' /O0 $'
. ' /O0 " . ' /O0 ! # 8/O0
# 8 /O0
8 /O0 3 0 9 /
D/ $/
#0
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/
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$0 !/
! $ k 2
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@/ 0
ω
[1/s]
=E0
Δpax/Href
[P a]
ΔpB
Δpi
Δpk
Δplateral
Δt
ΔT
ΔTB |L0
Δzax
Θ
ΞAH
[P a]
[P a]
[P a]
[P a]
[s]
[K]
[K]
[m]
[]
[−]
Υax
[−]
Υlat
[−]
Φ
Ψ
Ψ
[−]
[−]
[−]
Ψ
[−]
Ψ̂
[−]
Ψ̌
[−]
Ψ̂
[−]
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[−]
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∇
[1/s]
[−]
" 0 ; /
8> / 3'
8> / / 8> / / C /
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%92& '% 9
(=
*,)
8 O '% <9 (=
ρ(h)
8 *
ρ1 (25kJ/kg ≤ h ≤ 2000kJ/kg) = 1, 013213864371110 · 103
−1, 417624235598870 · 10−2 · h − 2, 430971206074500 · 10−4 · h2
+1, 316420741686870 · 10−7 · h3 − 4, 427539089369680 · 10−11 · h4
+2, 750398881714410 · 10−15 · h5 − 5, 964121238264560 · 10−19 · h6
%<*&
8 +
ρ2 (2000kJ/kg < h ≤ 4025kJ/kg) = 7, 494265748483390 · 103
−7, 834813416766480 · h + 2, 600004742099660 · 10−3 · h2
+5, 104453257850380 · 10−8 · h3 − 2, 238948898704290 · 10−10 · h4
+4, 941652932312460 · 10−14 · h5 − 3, 479873079706500 · 10−18 · h6
*,4
%<+&
8 O# 1%& '% <9 (=
μ(h)
8 *
μ1 (25kJ/kg ≤ h < 1000kJ/kg) = 2, 062002274297360 · 10−3
−1, 508669727117510 · 10−5 · h + 6, 169610820265700 · 10−8 · h2
−1, 452266644022530 · 10−10 · h3 + 1, 923654027180750 · 10−13 · h4
−1, 323959609227680 · 10−16 · h5 + 3, 671355094073410 · 10−20 · h6
%<5&
8 +
μ2 (1000kJ/kg ≤ h ≤ 4025kJ/kg) = 5, 621462482040420 · 10−4
−1, 195536212281610 · 10−6 · h + 1, 368785071392200 · 10−9 · h2
−8, 607281185261640 · 10−13 · h3 + 2, 917575200268330 · 10−16 · h4
−4, 987833389736260 · 10−20 · h5 + 3, 377395648033300 · 10−24 · h6
*,6
%<:&
8 O* &
&% '% <9 (=
λ(h)
8 *
λ1 (25kJ/kg ≤ h ≤ 2100kJ/kg) = 5, 564692735232980 · 10−1
+6, 139505024977470 · 10−4 · h − 9, 757747625202190 · 10−7 · h2
+8, 182580039822050 · 10−10 · h3 − 4, 568815661172040 · 10−13 · h4
+1, 114824654501870 · 10−16 · h5 − 4, 642152735888360 · 10−21 · h6
%<)&
8 +
λ2 (2100kJ/kg < h ≤ 4025kJ/kg) = −1, 500942983538990 · 102
+3, 086262935074840 · 10−1 · h − 2, 587071194695360 · 10−4 · h2
+1, 137713313362030 · 10−7 · h3 − 2, 776948775010820 · 10−11 · h4
+3, 574292811392010 · 10−15 · h5 − 1, 898013575118270 · 10−19 · h6
*,,
%<4&
8 O( 9
'% <9 (=
T (h)
T (25kJ/kg ≤ h ≤ 4025kJ/kg) = 2, 690708886807660 · 102
+2, 407635528363740 · 10−1 · h − 6, 608612361022410 · 10−5 · h2
+1, 641150566193040 · 10−7 · h3 − 1, 385406874285900 · 10−10 · h4
+4, 158420951530710 · 10−14 · h5 − 4, 088115919609840 · 10−18 · h6
*,-
%<6&
' 2 7 Gr g · βth · ΔT · l3
Auf triebskraf t
=
V iskositätskraf t
ν2
%*&
Konvektiver W ärmetransport
α·l
=
Dif f usiver W ärmetransport
λ
%+&
ρ · v · dh
T rägheitskräf te
=
Reibungskräf te
μ
%5&
wij
Dynamik eines P rozesses
=
F ähigkeit, Energie zu speichern
s · mi
%:&
Gr =
@7 Nu
Nu =
C7 Re
Re =
! 7 St
St =
F7 P e
Pe =
ρ · v · cp · l
Konvektiver W ärmetransport
=
W ärmetransport durch W ärmeleitung
λ
%)&
7 P r Pr =
ν
μ · cp
Dif f usiver Impulstransport
= =
Dif f usiver W ärmetransport
a
λ
*-(
%4&
7 0 +(() 8 +((, ' $ / %$#& =0 $ 2
3 / H ' $
C %$& ! H / 0
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" 3 8 2 < I; ! ? 2' 2;0 / ' 3
0 ; 3H J 0 2 8 818 A / ' @ 0 '0 I
/ ' /
8 $#H .# H /
H 0 ! // / ' 8 3 ; H ! 2J
' / / '0 8 / " = " / ' 8 ; 8 8
$ 8 +((,
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