Heat Transmission to Fluids With Low Prandtl Numbers for Flow Through Tube Banks

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Abstract
Solutions for the over-all Nusselt number, previously obtained by the authors for the flow of a fluid with a low Prandtl number about a single cylinder, have been extended to include the case of flow through a bank of tubes. A conducting sheet analogy was used to determine the flow field through the tube banks, assuming inviscid irrotational flow, and solutions for the over-all Nusselt number were obtained for four basic tube-bank geometries. Various heat-flux and temperature distributions were considered for the surface of the tubes. A comparison of the analytical results with experimental results for mercury flowing through a staggered tube bank was made; the comparison showed a very good correlation between theory and experiment for moderate fluid velocities. For high velocities the theory will give low results as could be expected from the assumption that eddy conduction is negligible.

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