Principle And Practice Of Hotwire Constant Temperature ...
Principle And Practice Of Hotwire Constant Temperature ...
Principle And Practice Of Hotwire Constant Temperature ...
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11 th Israeli Symposium on<br />
Jet Engines and Gas<br />
Turbines, October 2012<br />
Technion, Israel<br />
Sensitivity Analysis<br />
Logarithmic differentiation of Nu gives:<br />
Re f ( , U , T 0<br />
) M f( U , T 0<br />
)<br />
<br />
(Re, M, )<br />
1 logNu 1 log<br />
<br />
S<br />
<br />
2logRe logRe<br />
1 logNu 1 log<br />
<br />
Su<br />
S<br />
+ <br />
2<br />
logM logM<br />
<br />
K 1 1<br />
S K1n mS S S<br />
<br />
T0<br />
t t u<br />
Aw<br />
2 2<br />
11log<br />
logNu<br />
S<br />
<br />
2 <br />
<br />
K logRw<br />
logTw<br />
<br />
A logR logI<br />
w<br />
e' ρ' u'<br />
= S<br />
ρ<br />
+ S<br />
u<br />
+ S '<br />
E ρ U<br />
w<br />
nt logk logT0<br />
m log<br />
logT<br />
<br />
t 0<br />
<br />
<br />
e'<br />
1 ρ' <br />
E<br />
<br />
1 S1 Sρ1<br />
Su1 ρ <br />
- '=<br />
e' S<br />
<br />
S<br />
2 <br />
ρ2<br />
S<br />
<br />
u2<br />
u' <br />
E<br />
<br />
<br />
<br />
2 <br />
U<br />
<br />
∆ [S ρ /S u ] with ∆ is limited to 8 % [ ] ill-conditioned<br />
∆ [S ρ /S u ] with ∆d wire = 5μm to 9 μm up to 20 %<br />
Instantaneous Density AND Velocity Fluctuations can be Computed