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Licensed Unlicensed Requires Authentication Published by De Gruyter July 6, 2019

Numerical Investigation on Metrological Fidelity of a Shielded Thermocouple Probe and the Effects of Geometrical Parameters

  • Zahir Ummer , Weihao Zhang EMAIL logo , Weiping Yang , Zhengping Zou and Jian Zhao

Abstract

Proper design optimization and precise error characterization of temperature sensing-elements are rudimentary in the field of high accuracy gas temperature measurements. The intricate flow structures and heat transfer mechanisms related to a shielded thermocouple probe are studied in this paper using computational fluid dynamics and conjugate heat transfer (CFD/CHT) simulation tools. Owing to the probe’s novel geometry, it was a pre-requisite to characterize the metrological fidelity of the probe and the steady-state errors were determined from the simulations. The influence of certain geometrical parameters on the error characteristics of the probe was also investigated. The characteristic variation of the metrological fidelity of the probe with respect to those geometrical parameters should facilitate the optimization of the probe design.

Nomenclature

T f

Average flow temperature around the shield, K

T g

Static temperature of the flow in the vicinity of the thermocouple, K

T j , 1

Volume average temperature of junction in Y V simulation, K

T j , 2

Volume average temperature of junction in Y C simulation, K

T j , 3

Volume average temperature of junction in Y R simulation, K

T r

Temperature of the mounting-base, K

T t , 1 m m

Volume-average total temperature of a region of 1 mm thickness from the surface of the junction, K

Y C

Conduction error, K

Y R

Radiation error, K

Y V

Velocity error, K

λ

Thermal conductivity, W / m . K

h

Convective heat transfer coefficient, W / m 2 . K

A

Area, m 2

D

Diameter, m

L

Length, m

M

Mach number

N u

Nusselt number

P r

Prandtl number

R e

Reynolds number

T

Temperature, K

k

Specific heat ratio

q M

Mass-flow function, k g / s

ε

Emissivity

σ

Stefan-Boltzmann constant

Subscripts
b

Bleed-hole

e

Shield inlet

f

Free-stream property

g

Gas

i s

Inner-wall of the shield

j

Thermocouple junction domain

m

Mounting-base

s

Static condition

t

Stagnation condition

v s

Virtual-section

w

Thermocouple wire

Acknowledgements

This study is supported by the National Natural Science Foundation of China (No.51406003) and the Aeronautical Science Foundation of China (No.20155651028).

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Received: 2019-06-06
Accepted: 2019-06-11
Published Online: 2019-07-06
Published in Print: 2022-08-26

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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