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Numerical simulation of thermal boundary layer profile measurement

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Abstract

Heat transfer rates from a surface can be determined from the slope of the temperature profile measured with a thermocouple wire traversing within a boundary layer. However, accuracy of such measurement can suffer due to flow distortion and conduction through the thermocouple wire. The present numerical study consists of two parts—a 2D simulation of flow distortion due to a cylinder in cross flow near a solid wall and a 3D simulation defined as a fin problem to calculate the thermal profile measurement error due to conduction through the thermocouple wires. Results show that the measured temperature is lower than the true temperature resulting in a 5% under-prediction of local heat transfer coefficient. A parametric study shows that low thermal conductivity thermocouple (E type) with a small wire diameter (76 micron) is desirable to reduce the measurement error in local Nusselt number.

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Abbreviations

BL:

Boundary layer

d :

Cylinder diameter

δ99 :

Boundary layer thickness

H :

Distance between thermocouple junction and supports

h TC :

Heat transfer coefficient using simulated temperature

h BL :

Heat transfer coefficient using theoretical temperature

k :

Thermal conductivity

L :

Distance from the wall

Nu :

Nusselt number

\( N\bar{u} \) :

Average Nusselt number

R :

Thermocouple wire arc radius

Re :

Reynolds number

Sh :

Sherwood number

TC:

Thermocouple

T w :

Wall temperature

T ∞ :

Free stream temperature

x :

Streamwise coordinate

y :

Normal coordinate

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Author information

Author notes

  1. K. S. Kulkarni

    Present address: , 12801 Flat Creek Dr., Pearland, TX, 77584, USA

Authors and Affiliations

  1. Mechanical Engineering Department, University of Minnesota, 111 Church St. SE, Minneapolis, MN, 55455, USA

    K. S. Kulkarni & R. J. Goldstein

  2. Department of Mechanical Engineering, Seoul National University of Science and Technology, Seoul, South Korea

    S. Han

Authors
  1. K. S. Kulkarni
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  2. S. Han
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  3. R. J. Goldstein
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Corresponding author

Correspondence to S. Han.

Additional information

Dedicated to Prof. Dr.-Ing. Dr.-Ing. E.h. mult. Franz Mayinger on the occasion of his 80th birthday.

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Kulkarni, K.S., Han, S. & Goldstein, R.J. Numerical simulation of thermal boundary layer profile measurement. Heat Mass Transfer 47, 869–877 (2011). https://doi.org/10.1007/s00231-011-0833-5

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  • DOI: https://doi.org/10.1007/s00231-011-0833-5

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