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Transient temperature probe measurements in a Mach 4 nitrogen jet

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Abstract

Stagnation temperature measurements have been obtained in a Mach 4 free jet of nitrogen using a technique based on transient thin film heat flux probe measurements. The uncertainty in the stagnation temperature measurements depends on the probe location within the jet but is typically around ±5 K at the centre of the jet. The thin film heat flux probe technique also provides a measurement of the heat transfer coefficient of the thin film probes with an uncertainty of around ±4% at the centre of the jet. Pitot pressure measurements were also obtained within the jet. Analysis of the heat transfer coefficient results yields the Mach number and velocity profiles which are compared with results from the pitot probe measurements. Jet velocities identified using the thin film probe and the pitot probe techniques produce results with uncertainties of less than ±2% at the centre of the jet. Measurements of RMS stagnation temperature fluctuations indicate values of around 3 K at the centre of the jet to more than 10 K in the shear layer.

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Abbreviations

c p :

specific heat (assumed constant)

C :

Chapman-Rubesin parameter, Eq. 7

D :

probe diameter

h :

convective heat transfer coefficient

k :

conductivity

K :

stagnation point velocity gradient, Eq. 6

M :

Mach number

n :

exponent in power law viscosity and conductivity expressions

Nu :

Nusselt number, Eq. 3

p :

pressure

Pr :

Prandtl number, Eq. 4

q :

heat flux

R :

specific gas constant

Re :

probe Reynolds number, Eq. 5

T :

temperature

u :

velocity

x :

distance from jet exit, or distance along probe surface from stagnation

y :

distance from jet centre line

γ :

ratio of specific heats

μ :

viscosity

ρ :

density

e :

probe boundary layer edge

pit :

pitot

ref :

reference value in power law viscosity and conductivity expressions

w :

probe surface value

0:

stagnation

∞ :

free stream, undisturbed by probe

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Acknowledgement

The authors wish to acknowledge the EPSRC for the provision of a Visiting Fellowship to DRB.

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Authors and Affiliations

  1. Faculty of Engineering and Surveying, University of Southern Queensland, 4350, Toowoomba, Queensland, Australia

    D. R. Buttsworth

  2. Department of Engineering Science, University of Oxford, Oxford, OX1 3PJ, UK

    T. V. Jones

Authors
  1. D. R. Buttsworth
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  2. T. V. Jones
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Corresponding author

Correspondence to D. R. Buttsworth.

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Buttsworth, D.R., Jones, T.V. Transient temperature probe measurements in a Mach 4 nitrogen jet. Exp Fluids 37, 137–145 (2004). https://doi.org/10.1007/s00348-004-0793-3

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  • DOI: https://doi.org/10.1007/s00348-004-0793-3

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