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The Eckert number phenomenon: Experimental investigations on the heat transfer from a moving wall in the case of a rotating cylinder

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Abstract.

The Eckert number phenomenon was investigated theoretically by Geropp in 1969 and describes a reversal in heat transfer from a moving wall at an Eckert number Ec ≈ 1. In this report the Eckert number phenomenon is confirmed experimentally for the first time. For that purpose the heat transfer from a heated, vertically rotating cylinder in a crossflow was investigated. In order to perform the experiments in a range where the predicted phenomenon occurs, extreme rotational speeds were necessary. A heating concept had to be developed which allowed an input of heating power independent of the speed and which therefore had to be contact-free. The results show, among other things, that the temperature difference between the wall and the surrounding fluid has a significant effect on the predicted reversal of heat transfer at the wall. Moreover, maximum heat transfer occurs at an Eckert number Ec ≈ 0.3, which is of great importance for the cooling of hot surfaces in a gas-flow.

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Abbreviations

A :

Area

c f :

Friction coefficient

c p :

Specific isobaric heat capacity

c 1 ... 5 :

Constants

D :

Cylinder diameter

Ec :

Eckert number

h :

Heat transfer coefficient

k :

Thermal conductivity

l :

Cylinder length

Nu :

Nusselt number

P :

Power

Pr :

Prandtl number

Q̇ :

Heat flow

Re :

Reynolds number

T :

Temperature

ΔT :

Temperature difference

Tu :

Degree of turbulence

v :

Velocity

W :

Width of wind-tunnel

δ:

Boundary layer thickness

ϕ:

Angle

ad :

Adiabatic

corr :

Corrected

cs :

Cross-sectional

el :

Electric

t :

Turbulent

W :

Wall

h :

Convective

Ω:

Rotational

∞:

Main flow

References

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Acknowledgements.

The work was carried out at the University of the Federal Armed Forces of Germany in Munich. The author wants to thank D Straub and R Waibel for the initiation of this work. Their assistance has been greatly appreciated. Furthermore, many thanks to Alan Tucker for his valuable assistance in proof-reading and discussing various aspects of this paper.

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Authors and Affiliations

  1. University of Canterbury, Canterbury, New Zealand

    M. A. Gschwendtner

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  1. M. A. Gschwendtner
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Correspondence to M. A. Gschwendtner.

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Gschwendtner, M.A. The Eckert number phenomenon: Experimental investigations on the heat transfer from a moving wall in the case of a rotating cylinder. Heat and Mass Transfer 40, 551–559 (2004). https://doi.org/10.1007/s00231-003-0437-9

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  • DOI: https://doi.org/10.1007/s00231-003-0437-9

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