THERMAL SCIENCE

International Scientific Journal

VALIDATION OF ACCURACY AND STABILITY OF NUMERICAL SIMULATION FOR 2-D HEAT TRANSFER SYSTEM BY AN ENTROPY PRODUCTION APPROACH

ABSTRACT
The entropy production in 2-D heat transfer system has been analyzed systematically by using the finite volume method, to develop new criteria for the numerical simulation in case of multidimensional systems, with the aid of the CFD codes. The steady-state heat conduction problem has been investigated for entropy production, and the entropy production profile has been calculated based upon the current approach. From results for 2-D heat conduction, it can be found that the stability of entropy production profile exhibits a better agreement with the exact solution accordingly, and the current approach is effective for measuring the accuracy and stability of numerical simulations for heat transfer problems.
KEYWORDS
PAPER SUBMITTED: 2017-03-15
PAPER REVISED: 2017-05-01
PAPER ACCEPTED: 2017-05-10
PUBLISHED ONLINE: 2017-12-02
DOI REFERENCE: https://doi.org/10.2298/TSCI17S1097B
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Supplement 1, PAGES [S97 - S104]
REFERENCES
  1. Versteeg, H. K., Malalasekera, W., An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Pearson Education Limited, London, 2007
  2. Yang, X. J., Gao, F., A New Technology for Solving Diffusion and Heat Equations, Thermal Science, 21 (2017), 1A, pp.133-140
  3. Gao, F., et al., Exact-Traveling-Wave Solutions for Linear and Nonlinear Heat-Transfer Equations, Thermal Science, 2017, On-line first, doi.org/10.2298/TSCI161013321G
  4. Gu, Y. X., et al., A Sensitivity Analysis Method for Linear and Nonlinear Transient Heat Conduction with Precise Time Integration, Structural and Multidisciplinary Optimization, 24 (2002), 1, pp. 23-37
  5. Tomasiello, S., DQ-Based Simulation of Weakly Nonlinear Heat Conduction Processes, Communications in Numerical Methods in Engineering, 24 (2008), 11, pp. 1523-1532
  6. Zhang, H. C., Tan, H. P., Evaluation of Numerical Scattering in Finite Volume Method for Solving Radiative Transfer Equation by a Central Laser Incidence Model, Journal of Quantitative Spectroscopy and Radiative Transfer 110 (2009), 18, pp. 1965-1977
  7. Zhang, H. C., et al., Numerical Uncertainty for Radiative Transfer Equation by an Information Entropy Approach, Journal of Thermophysics and Heat Transfer, 25 (2011), 4, pp. 635-638
  8. Bejan, A., Entropy Generation Through Heat and Fluid Flow, John Wiley and Sons, New York, USA, 1982
  9. Bejan, A., Advanced Engineering Thermodynamics. John Wiley and Sons, New York, USA, 1997
  10. Bejan, A., Entropy Generation Minimization, in: Advanced Engineering Thermodynamics, John Wiley and Sons, New York, USA, 2016
  11. Herwig, H., Kock, F., Direct and Indirect Methods of Calculating Entropy Generation Rates in Turbulent Convective Heat Transfer Problems, Heat and Mass Transfer, 43 (2007), 3, pp. 207-215
  12. Zhang, H., et al., An Entropy Production Method to Investigate the Accuracy and Stability of Numerical Simulation of One-Dimensional, Heat Transfer Research, 43 (2012), 7, pp. 669-693
  13. Mamourian, M., et al., Optimization of Mixed Convection Heat Transfer with Entropy Generation in a Wavy Surface Square Lid-Driven Cavity by Means of Taguchi Approach, International Journal of Heat and Mass Transfer, 102 (2016), Nov., pp. 544-554
  14. Ji, Y., et al., Entropy Assessment on Direct Contact Condensation of Subsonic Steam Jets in a Water Tank through Numerical Investigation, Entropy, 18 (2016), 1, pp.1-21
  15. Torabi, M., Zhang, K., Classical Entropy Generation Analysis in Cooled Homogenous and Functionally Graded Material Slabs with Variation of Internal Heat Generation with Temperature, and Convective-Radiative Boundary Conditions, Energy, 65 (2014), 65, pp. 387-397

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence