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Dynamic behaviour of cold wires in heated airflows (300 < T < 600 K)

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Abstract

A theoretical and experimental investigation of cold wire frequency response is presented for the case of heated airflows (T < 600 K). Experiments using an external heating technique have been carried out for sensors in different flow situations. Particular attention has been paid to the influence of temperature on cold wire transfer function characteristics (time-constant and plateau level).

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Abbreviations

a :

thermal diffusivity

c :

specific heat d diameter

dZ :

Fourier transform of θ′

f :

frequency

H :

amplitude transfer function of the wire

k :

characteristic of the thickness of transient boundary layer

l :

length

l b :

thickness of transient boundary layer

lc :

cold length

M :

time-constant

Nu :

Nusselt number

P :

amplitude transfer function of the calibration system

U :

velocity

η =:

/l b l c

λ:

thermal conductivity

μ:

viscosity

ω:

angular frequency

θ′:

temperature fluctuation

Q:

density

a:

ambient temperature

g:

gas

s:

support

sw:

source wire

T:

temperature

w:

wire

References

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Petit, C., Paranthoen, P., Lecordier, J.C. et al. Dynamic behaviour of cold wires in heated airflows (300 < T < 600 K). Experiments in Fluids 3, 169–173 (1985). https://doi.org/10.1007/BF00280455

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