Abstract
Performance evaluation of heat transfer devices can be based on the overall entropy production in these devices. In our study we therefore provide equations for the systematic and detailed determination of local entropy production due to dissipation of mechanical energy and due to heat conduction, both in turbulent flows. After turbulence modeling has been incorporated for the fluctuating parts the overall entropy production can be determined by integration with respect to the whole flow domain. Since, however, entropy production rates show very steep gradients close to the wall, numerical solutions are far more effective with wall functions for the entropy production terms. These wall functions are mandatory when high Reynolds number turbulence models are used. For turbulent flow in a pipe with an inserted twisted tape as heat transfer promoter it is shown that based on the overall entropy production rate a clear statement from a thermodynamic point of view is possible. For a certain range of twist strength there is a decrease in overall entropy production compared to the case without insert. Also, the optimum twist strength can be determined. This information is unavailable when only pressure drop and heat transfer data are given.
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References
Bejan, A. Entropy Generation Minimization. New York: Boca Raton, CRC Press, 1996
Bejan, A. Second Law Analysis in Heat Transfer. Energy, 1980, 5: 721–732
Bejan, A. A Study of Entropy Generation in Fundamental Convective Heat Transfer. Transactions of the ASME, 1979, 101: 718–725
Bejan, A. General Criterion for Rating Heat-exchanger Performance. International Journal of Heat and Mass Transfer, 1978, 21: 655–658
Onsager, L. Reciprocal Relations in Irreversible Processes. I. Phys. Rev., 1931, 37: 405–426. Reciprocal Relations in Irreversible Processes. II. Phys. Rev., 1931, 38: 2265–2279
Prigogine, I. Time Structure and Fluctuations. Science, 1978, 201: 777–785.
Mahulikar, S P, Herwig, H. Conceptual Investigation of Entropy Principle for Identification of Directives for Creation, Existence and Total Destruction of Order. Physica Scripta, 2004, 20: 1–10
Zimparov, V. Extended Performance Evaluation Criteria for Enhanced Heat Transfer Surfaces. International Journal of Heat and Mass Transfer, 2000, 43: 3137–3155
Sasikumar, M, Balaji, C. Optimization of Convective Fins Systems: A Holistic Approach. Heat and Mass transfer, 2002, 39: 57–68
Gerdov, G. Second Law Analysis of Convective Heat Transfer in Flow through a Duct with Heat Flux as a Function of Duct Length. HVAC & R Research, 1996, 2: 149–157
Sahin, A Z. Second Law Analysis of Laminar Viscous Flow through a Duct Subjected to Constant Wall Temperature. Transactions of the ASME, 1998, 102: 76–83
Abu-Hijleh, B A, Heilen, W N. Entropy Generation Due to Laminar Natural Convection Over a Heated Rotating Cylinder. International Journal of Heat and Mass Transfer, 1999, 42: 4225–4233
Abu-Hijleh, B A, Abu-Qudais, M, Nada, E A. Numerical Prediction of Entropy Generation Due to Natural Convection from a Horizontal Cylinder. Energy, 1999, 24: 327–333
Shuja, S Z, Yilbas, B S, Budair, M O, et al. Entropy Analysis of a Flow Past a Heat-Generated Bluff Body. International Journal of Energy Research, 1999, 23: 1133–1142
Sciubba, E. A Minimum Entropy Generation Procedure for the Discrete Pseudo-Optimization of Finned-Tube Heat Exchangers. Rev Gen Therm, Elsevier, Paris, 1996, 35: 517–525
Sciubba, E. Calculation Entropy with CFD. ASME Mechanical Engineering, 1997, 119: 86–88
Perng, C Y, Chu, D. Entropy Production and Loss Evaluation in Flow Fields. Technical Report 95-WA/HT-13, ASME, 1995
Benedetti, P L, Sciubba, E. Numerical Calculation of the Local Entropy Generation in the Flow Around a Heated Finned Tube. Technical Report AES-3, ASME, 1993
Drost, M K, White, M D. Numerical Predictions of Local Entropy Generation in an Impinging Jet. Journal of Heat Transfer, 1991, 113: 823–829.
Spurk, J H. Strömungslehre. Berlin: Springer-Verlag, Berlin: Heidelberg, New York, 1989
Kock, F. Bestimmung der Lokalen Entropieproduktion in Turbulenten Strömungen und deren Nutzung zur Bewertung konvektiver Transportprozesse: [Dissertation]. Hamburg: TU Hamburg-Harbur, 2003
Herwig, H, Kock, F. Direct and Indirect Methods of Calculating Entropy Generation Rates in Turbulent Convective Heat Transfer Problems. to be published in. Heat and Mass Transfer, 2006
Gersten, K, Herwig, H. Strömungsmechanik. Braunschweig: Vieweg-Verlag, 1992
Mathieu, J, Scott, J. An Introduction to Turbulent Flow. 1 Edition. Cambridge: Cambridge University Press, 2000
Nagano, Y, Kim, C. A Two-Equation Model for Heat Transport in Wall Turbulent Shear Flows. Journal of Heat Transfer, 1988, 110: 583–589
Kawamura, H A, Matsuo, Y. DNS of Turbulent Heat Transfer in Channel Flow with Respect to Reynolds and Prandtl Number Effects. International Journal of Heat and Fluid Flow, 1999, 20: 196–207
Zhang, Y M, Han, J, Lee, C. Heat Transfer and Friction Characteristics of Turbulent Flow in Circular Tubes with Twisted-Tape Inserts and Axial Interrupted Ribs. Enhanced Heat Transfer, 1997, 4: 297–308
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Herwig, H., Kock, F. Local entropy production in turbulent shear flows: A tool for evaluating heat transfer performance. J. of Therm. Sci. 15, 159–167 (2006). https://doi.org/10.1007/s11630-006-0159-7
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DOI: https://doi.org/10.1007/s11630-006-0159-7