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
THERMAL SCIENCE YEAR
2017, VOLUME
21, ISSUE
Supplement 1, PAGES [S97 - S104]
- Versteeg, H. K., Malalasekera, W., An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Pearson Education Limited, London, 2007
- Yang, X. J., Gao, F., A New Technology for Solving Diffusion and Heat Equations, Thermal Science, 21 (2017), 1A, pp.133-140
- 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
- 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
- Tomasiello, S., DQ-Based Simulation of Weakly Nonlinear Heat Conduction Processes, Communications in Numerical Methods in Engineering, 24 (2008), 11, pp. 1523-1532
- 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
- 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
- Bejan, A., Entropy Generation Through Heat and Fluid Flow, John Wiley and Sons, New York, USA, 1982
- Bejan, A., Advanced Engineering Thermodynamics. John Wiley and Sons, New York, USA, 1997
- Bejan, A., Entropy Generation Minimization, in: Advanced Engineering Thermodynamics, John Wiley and Sons, New York, USA, 2016
- 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
- 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
- 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
- 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
- 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