Abstract
An approximate method is proposed to predict Nusselt number for turbulent flow in a tube with an arbitrary axially varying heat flux distribution. Evaluation of sums of infinite series with poor convergency is required for this method and done correctly. The predicted results by the proposed method were examined experimentally with air for uniform heat flux, exponentially varying heat flux and rectilinearly varying heat flux. The experimental apparatus was so constructed that heat flux could distribute in the prescribed manner by changing axially the cross sectional area of the tube wall conducted low voltage a.c. Predicted Nusselt numbers are in good agreement with the experimental data. The conditions for heat flux distributions which have the fully developed situation with generalized temperature profile invariant in the axial direction were analysed theoretically. As the result, it is found the exponentially varying heat flux alone can realize the fully developed situation. Both cases of uniform heat flux and uniform wall temperature, which have been well known to realize the fully developed situation, correspond to the special cases of exponentially varying heat flux.
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