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International Journal of Fluid Mechanics Research
ESCI SJR: 0.22 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v25.i1-3.320
pages 363-375

Heat Transfer to Low Prandtl Number Fluids in Turbulent Pipe Flow: a Simple but Accurate Application of Reynolds Analogy

D. R. H. Beattie
Australian Atomic Energy Commission, Research Establishment Lucas Heights Research Laboratories Private Mail Bag, Sutherland, 2232, NSW Australia

ABSTRACT

Squire's (1948) model of turbulence is extended via Reynolds analogy to provide simple expressions for temperature profiles and heat transfer coefficients for developed heated turbulent pipe flows with Prandtl numbers less than one. The analysis uses a semi-empirical turbulent Prandtl number, based on thermal and drag losses for an eddy, and which is structured to retain the simplicity of the Squire turbulence model. Derived expressions agree satisfactorily with available data, including heat transfer data in the usually-neglected region Pr ∼ 0.4.


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