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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 />

e' ρ' u'<br />

0<br />

=S<br />

ρ<br />

+S<br />

u<br />

+S<br />

T<br />

+S '<br />

0<br />

0<br />

E ρ U T<br />

Conventional Methodology<br />

T'<br />

<br />

In supersonic flow S =S u ;<br />

<br />

e'<br />

ρu'<br />

T'<br />

0<br />

=S<br />

ρ<br />

+ S<br />

T<br />

+S '<br />

0<br />

0<br />

E ρU T<br />

<br />

logE<br />

S(ρ,U,T<br />

ρ 0<br />

, ) =<br />

log <br />

logE<br />

S(ρ,U,T<br />

u 0, ) =<br />

logU<br />

logE<br />

S<br />

T<br />

(ρ,U,T<br />

0 0, )=<br />

logT<br />

S(ρ,U,T , ) =<br />

<br />

0<br />

logE<br />

<br />

U=const., T =const.,<br />

0<br />

0<br />

const.<br />

=const., T =const., const.<br />

0 =const., U=const., const.<br />

=const., U=const., T const.<br />

0<br />

Not True for<br />

Subsonic & Transonic<br />

• Parameterizing one parameter at a time while others remain constant<br />

Impractical Non-Physical (Purely Empirical) Not Reliable

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