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A new method for measuring time constants of a thermocouple wire in varying flow states

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Abstract

A new measuring method is suggested for determining the time constant of a thermocouple wire to be applied for the measurement of the true fluid temperatures in varying flow states. Based on the techniques of internal heating which are commonly used to measure mean time constants, we extend the existing method to measure instantaneous time constants continuously. A method of measurement and analysis is presented and verified experimentally.

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Abbreviations

A s :

surface area [m2]

c :

specific heat [J/kg K]

D :

diameter [m]

h :

heat transfer coefficient [W/m2 K]

I :

current [A]

k :

thermal conductivity [W/m K]

L :

length [m]

r :

resistance per unit length [Ω/m]

T :

temperature [°C]

t :

time [s]

t c :

characteristic time to reach uniform state [s]

u :

velocity of stream [m/s]

V :

volume [m3]

x :

axial coordinate [m]

α:

thermal diffusivity [m2/s]

θ :

normalized temperature (≡TθT )/(T RθT ))

ϱ :

density [kg/m3]

τ:

time constant [s]

ω :

angular velocity [rad/s]

a :

amplitude

i :

initial condition

j :

junction of thermocouple

R :

reference point

∞:

surrounding

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Additional information

The work was supported by Turbo and Power Machinery Research Center at Seoul National University and the authors are grateful to Mr. M. H. Yang for his assistance in the experiment.

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Park, S.J., Ro, S.T. A new method for measuring time constants of a thermocouple wire in varying flow states. Experiments in Fluids 21, 380–386 (1996). https://doi.org/10.1007/BF00189059

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  • DOI: https://doi.org/10.1007/BF00189059

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