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Abstract Local and over-all heat-transfer coefficients were determined analytically for one and two-dimensional flow of a fluid with small Prandtl number, such as a liquid metal, across a flat plate and cylinders of various cross section. The possibility of heat generation within the fluid was considered. Certain of the results were simplified for convenient calculation, and the approximations investigated. A comparison of the results with those of Pohlhausen and Squire showed good agreement. The procedure for obtaining these coefficients rested upon a consideration of forced convection in a fluid with small Prandtl number which implied that inviscid flow can be assumed, and eddy transport of heat is negligible in comparison to molecular conduction for flows with small or moderate Peclet numbers. The analysis was simplified greatly by means of a transformation and certain results due to Boussinesq (1). The agreement of the analytical results with those obtained experimentally by Hoe (2) for mercury flowing through tube banks and the method for calculating heat-transfer rates in tube banks will be described in a later paper.
Grosh et al. (Tue,) studied this question.