Correlations for Laminar Forced Convection with Uniform Heating in Flow over a Plate and in Developing and Fully Developed Flow in a Tube

Abstract

Asymptotic solutions for Pr → 0 and Pr → ∞ and numerical solutions for intermediate Pr were obtained for a uniformly heated flat plate. The method of Churchill and Usagi was utilized to construct a simple correlation for these values. The same method was used to develop simple correlations for plug flow and fully developed flow in a uniformly heated tube. These correlations were in turn combined to develop correlations for the available experimental data and computed values for developing flow in a uniformly heated tube. Derivations and test calculations in which convection normal to the wall was neglected reveal that this error is significant but insufficient to explain all of the discrepancies in the computed values.