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
M. A. Mikheev, Fundamentals of Heat Transfer [in Russian], Gos. Énerg. Izd., Moscow (1956).
N. A. Yaryshev, Theoretical Principles of Nonsteady State Temperature Measurement [in Russian], Énergiya, Moscow (1967).
G. I. Marchuk, Methods of Numerical Mathematics, Springer-Verlag (1975).
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