Abstract
In this paper, an exergo-economic criterion, i.e. the net profit per unit transferred heat load, is established from the perspective of exergy recovery to evaluate the performance of finned tube used in waste heat recovery. Also, the dimensionless exergy change number is introduced to investigate the effect of the flow (mechanical) exergy loss rate on the recovered thermal exergy. Selecting R245fa as a working fluid and exhaust flue gas as a heat source, the effects of the internal Reynolds number Re i, the external Reynolds number Re o, the unit cost of thermal exergy ɛ q, the geometric parameter of finned tube η o β and the phase change temperature T v etc. on the performance of finned tube are discussed in detail. The results show that the higher T v and η o β, and lower Re i may lead to the negligible flow (mechanical) exergy loss rate. There exists an optimal value of Re i where the net profit per unit transferred heat load peaks, while the variations of Re o, ɛ q and T v cause monotonic change of the net profit per unit transferred heat load. The phase change temperature exerts relatively greater influence on the exergo-economic performance of finned tube in comparison with other parameters. And there exists a critical phase change temperature, where the net profit per unit transferred heat load is equal to zero.
Similar content being viewed by others
References
Y. Ammar, S. Joyce, R. Norman, Y. Wang and A. P. Roskilly, Low grade thermal energy sources and uses from the process industry in the UK, Applied Energy, 89(1) (2012) 3–20.
E. H. Wang, H. G. Zhang, B. Y. Fan and Y. T. Wu, Optimized performances comparison of organic Rankine cycles for low grade waste heat recovery, Journal of Mechanical Science and Technology, 26(8) (2012) 2301–2312.
M. S. Soylemez, On the thermo-economical optimization of fin sizing for waste heat recovery, Energy Conversion and Management, 44(6) (2003) 859–866.
M. S. Soylemez, Optimum length of finned pipe for waste heat recovery, Energy Conversion and Management, 49(1) (2008) 96–100.
D. Poulikakos and A. Bejan, Fin geometry for minimum entropy generation in forced convection, ASME Journal of Heat Transfer, 104(4) (1982) 616–623.
W. W. Lin and D. J. Lee, Second-law analysis on a pin-fin array under crossflow, International Journal of Heat and Mass Transfer, 40(8) (1997) 1937–1945.
W. W. Lin and D. J. Lee, Second-law analysis on a flat plate-fin array under crossflow, International Communication in Heat and Mass Transfer, 27(2) (2000) 179–190.
O. N. Sara, S. Yapici, M. Yilmaz and T. Pekdemir, Second law analysis of rectangular channels with square pin-fins, International Communication in Heat and Mass Transfer, 28(5) (2001) 617–630.
B. N. Taufiq, H. H. Masjuki, T. M. I. Mahlia, R. Saidur, M. S. Faizul and E. Niza Mohamad, Second law analysis for optimal thermal design of radial fin geometry by convection, Applied Thermal Engineering, 27(8–9) (2007) 1363–1370.
S. Y. Wu, Y. L. Zhang and Y. R. Li, Exergy transfer analysis of a pin fin in external flow, International Journal of Exergy, 6(6) (2009) 761–777.
S. Z. Shuja and S. M. Zubair, Thermoeconmic optimization of constant cross-sectional area fins, ASME Journal of Heat Transfer, 119(4) (1997) 860–863.
S. Z. Shuja, S. M. Zubair and M. S. Khan, Thermoeconomic design and analysis of constant cross-sectional area fins, Heat and Mass Transfer, 34(5) (1999) 357–364.
S. Z. Shuja, Optimal fin geometry based on exergoeconomic analysis for a pin-fin array with application to electronic cooling, Exergy, An International Journal, 2(4) (2002) 248–258.
J. Y. San, Second-law performance of heat exchangers for waste heat recovery, Energy, 35(5) (2010) 1936–1945.
V. Gnielinski, New equations for heat mass transfer in turbulent pipe and channel flow, International Chemical Engineering, 16(2) (1976) 359–368.
Y. W. Ma, H. P. Tan, X. Y. Shang and G. Q. Chi, Experimental research about heat transfer performance of a single finned tube, Journal of Engineering Thermophysics, 5(4) (1984) 378–380. (In Chinese)
S. W. Churchill and M. Bernstein, A correlation equation for forced convection from gases and liquids to a circular cylinder in cross flow, ASME Journal of Heat Transfer, 99(1) (1977) 300–306.
S. Y. Wu, Y. Chen, Y. R. Li and D. L. Zeng, Exergy transfer characteristics of forced convective heat transfer through a duct with constant wall heat flux, Energy, 32(5) (2007) 686–696.
W. M. Rohsenow, J. P. Hartnett and Y. I. Cho, Handbook of heat transfer, McGraw-Hill Companies, Inc., New York (1998).
A. L. London and R. K. Shah, Costs of irreversibilities in heat exchanger design, Heat Transfer Engineering, 4(2) (1983) 59–73.
S. M. Zubair, P. V. Kadaba and R. B. Evans, Second-law-based thermoeconomic optimization of two-phase heat exchangers, ASME Journal of Heat Transfer, 109(2) (1987) 287–294.
S. Y. Wu, X. F. Yuan, Y. R. Li and L. Xiao, Exergy transfer effectiveness on heat exchanger for finite pressure drop, Energy, 32(11) (2007) 2110–2120.
A. Bejan, The concept of irreversibility in heat exchanger design: counterflow heat exchangers for gas-to-gas applications, ASME Journal of Heat Transfer, 99(3) (1977) 374–380.
A. Z. Sahin, S. M. Zubair, A. Z. Al-Garni and R. Kahraman, Effect of fouling on operational cost in pipe flow due to entropy generation, Energy Conversion and Management, 41(14) (2000) 1485–1496.
Z. W. Ni, Second law analysis of thermodynamics and evaluation method of heat exchanger, Journal of Engineering Thermophysics, 6(4) (1985) 311–314 (in Chinese).
E. W. Lemmon, M. O. McLinden and M. L. Huber, NIST Standard Reference Database 23, Version 7.0, Physical and chemical properties, National Institute of Standard and Technology (2002).
S. M. Yang and W. Q. Tao, Heat transfer (Fourth Edition), Higher Education Press, Beijing (2006) (In Chinese).
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Ji Hwan Jeong
Shuang-Ying Wu received his MS degree in College of Power Engineering from Chongqing University, Chongqing, P. R. China, in 1994, obtained his Ph.D. degree in Engineering Thermophysics from Chongqing University in 2004, and worked as a visiting scholar from June 2008 to June 2009 in Department of Mechanical and Materials Engineering, Florida International University, USA. Currently, he is a professor at Chongqing University. His major interests are heat transfer, thermodynamics and its engineering application, energy conversion and saving, etc.
Rights and permissions
About this article
Cite this article
Wu, SY., Jiu, JR., Xiao, L. et al. Exergo-economic analysis of finned tube for waste heat recovery including phase change heat transfer. J Mech Sci Technol 27, 3513–3523 (2013). https://doi.org/10.1007/s12206-013-0877-1
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-013-0877-1