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Measurement of temperature in a non-steady-state gas flow

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Abstract

A method is described for measuring the temperature of a non-steady-state gas flow with a thermocouple which is an inertial component of the first order.

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Abbreviations

T*f :

non-steady-state gas flow temperature

Tt :

thermosensor temperature

ɛ:

thermal inertia factor of thermosensor

τ:

time

C:

total heat capacity of thermosensor sensitive element

S:

total heat-exchange surface between sensitive element and flow

α:

heat-liberation coefficient

ψ:

temperature distribution nonuniformity coefficient in sensitive element

Re, Nu, Pr, Bi, Pd:

hydromechanical and thermophysical similarity numbers

P* :

total flow pressure

P:

static flow pressure

T* :

total flow temperature

dt :

sensitive element diameter

w:

gas flow velocity

ρ:

flow density

μ:

flow viscosity

λf :

flow thermal conductivity

k:

gas adiabatic constant

R:

universal gas constant

M:

Mach number

T:

thermodynamic flow temperature

μo, λo :

μ and λ values at T=288°K

A, m, n, p, r:

coefficients

αc :

heat-liberation coefficient due to colvection

αr :

heat-liberation coefficient due to radiation

ϕb :

emissivity of sensitive element material

σ:

Stefan-Boltzmann constant

Te :

temperature of walls of environment

ɛc, ɛr, ɛtc :

thermosensor thermal inertia factors due to convective, radiant, and conductive heat exchange

L:

length of sensitive element within flow

a :

thermal diffusivity of sensitive element material

λt :

thermal conductivity of sensitive element material

Literature cited

  1. M. A. Mikheev, Fundamentals of Heat Transfer [in Russian], Gos. Énerg. Izd., Moscow (1956).

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  2. N. A. Yaryshev, Theoretical Principles of Nonsteady State Temperature Measurement [in Russian], Énergiya, Moscow (1967).

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  3. G. I. Marchuk, Methods of Numerical Mathematics, Springer-Verlag (1975).

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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 47, No. 1, pp. 59–64, July, 1984.

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Domovtsev, V.A. Measurement of temperature in a non-steady-state gas flow. Journal of Engineering Physics 47, 787–790 (1984). https://doi.org/10.1007/BF00832593

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  • DOI: https://doi.org/10.1007/BF00832593

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