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Joule‐Thomson effects on turbulent graetz problem for gas flows in pipes with uniform wall temperature
Author(s) -
Cheng K. C.,
Ou JennWuu
Publication year - 1978
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450560105
Subject(s) - nusselt number , prandtl number , reynolds number , joule–thomson effect , heat transfer , thermodynamics , mechanics , joule heating , turbulence , turbulent prandtl number , physics , film temperature , materials science , quantum mechanics
The Joule‐Thomson effect is known to be important in arctic gas pipelines. The Joule‐Thomson effects on forced convective heat transfer in the thermal entrance region of pipes with uniform wall temperature are studied for steady fully developed turbulent gas flows by the Graetz method. Thermal entrance heat transfer results are presented for Prandtl number 0.72, Reynolds number 10 5 and Brinkman number ± 0.1, ± 1.0 with Joule‐Thomson parameter Jμ ranging from 0 to 1.0 to cover the possible range in practical applications. Bulk temperatures and Nusselt numbers are also presented for fully developed flow with Reynolds numbers from 5 × 10 3 to 10 6 . For given Prandtl and Reynolds numbers, the asymptotic Nusselt number is found to be dependent on the Joule‐Thomson parameter only and is independent of Brinkman number. The fully developed bulk temperature is a linear function of Brinkman number and a linear relationship exists between the bulk temperature parameter (‐θ bf /Br) and the Joule‐Thomson parameter Jμ for given Prandtl and Reynolds numbers.