Theoretical Analysis of the Turbulent Prandtl Number by the Integral Transform Technique

Research Area: Volume 8,Issue 2,Mar.,2019 Year: 2019
Type of Publication: Article Keywords: Turbulent Prandtl Number, Integral Transform Technique, Thermal Entrance Region, Internal Forced Convection
Authors:
  • Elcio Nogueira
  • Luiz Claudio Gomes Pimentel
Journal: IJEIR Volume: 8
Number: 2 Pages: 68-77
Month: March
ISSN: 2277-5668
Abstract:
A comparative study is performed on different models currently employed for turbulent Prandtl number. The analytic nature of the solution methodology here utilized, the integral transform technique, associated to two-distinct solution procedure for fully developed turbulent flow, allowed to isolate the turbulent Prandtl number as mains source of discrepancies between measured and calculated values for the Nusselt number. This study permits the establishment, within a compatible error criterion with those inherent to experimental correlations, of those models that present best performance in simulations of different fluids of interest in engineering practice. The correlations evaluated are the result of experimental data, and the theoretical models were developed for compatible situations. This is therefore a theoretical-experimental evaluation for the turbulent Prandtl number in internal forced convection in ducts. The computational implementations were performed in Fortran language [Direct implementation: - Microsoft Fortran PowerStation Version 4.0 (1995), and through IMSL routines]

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