International Scientific Journal


Currently, two basic measures performance models are conventionally defined to evaluate the performance of the extended surfaces or the fins. First is the fin efficiency that is defined as the ratio of actual heat transferred by a fin to heat that would be transferred if the entire fin were at base temperature. Second is the fin effectiveness that is defined as the ratio of heat flux from the wall with the fin to heat flux from the wall without the fin. In the present work, a new criterion is proposed to measure the performance of the fins. The new criterion is defined as the ratio of exergy of convective heat transferred by the fin to the irreversibility of the fin. The new criterion named fin ecological coefficient of performance (ECOPf) based on the second law of thermodynamics whereas the fin efficiency and fin effectiveness carried out by the first law of thermodynamics. A code has been developed using these models to compare the performances of a typical fin with respect to the fin parameters and cooling fluid. According to the results, it can be concluded that the ECOPf model is a rational criterion rather than two other models. In addition, since ECOPf model considers the irreversibility of the control surface so it is a better measuring performance model in new fin design.
PAPER REVISED: 2017-10-10
PAPER ACCEPTED: 2017-11-01
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THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 2, PAGES [509 - 523]
  1. Pashah, S., Moinuddin, A., Zubair, S.M., Thermal performance and optimization of hyperbolic annular fins under dehumidifying operating conditions - analytical and numerical solutions, International Journal of Refrigeration 65 (2016),pp. 42-54.
  2. Kraus, A.D., Aziz, A., Welty, J., Extended Surface Heat Transfer, John Wiley and Sons, New York, 2001.
  3. Yovanovich, M.M., Heat balance method for spines, longitudinal and radial fins with contact conductance and end cooling. 37th AIAA Thermophysics Conference Portland, Oregon: AIAA-(2004), pp. 2004-2569.
  4. Ullmann, A., Kalman, H., Efficiency and optimized dimensions of annular fins of different cross-section shapes. International Journal of Heat and Mass Transfer 32 (1989), pp. 1105-1110.
  5. Maday, C. J., The minimum weight one dimensional straight fin, ASME Journal of Engineering for Industry 96 (1974), pp.161-165.
  6. Guceri, S., Maday, C. J., A least weight circular cooling fin, ASME Journal of Engineering for Industry 97 (1975), pp. 1190-1193.
  7. Razelos, P., Imre, K., The optimum dimensions of circular fins with variable thermal parameters, ASME Journal of Heat Transfer 102 (1980), pp. 420-425.
  8. Poulikakos, D., Bejan, A., Fin geometry for minimization entropy generation in forced convection, Journal of Heat Transfer 104 (1982), pp. 616-623.
  9. Laor, K. , Kalman, H., The effect of tip convection on the performance and optimum dimensions of cooling fins, Int. Commun. Heat Mass Transfer 19 (1992), pp. 569-584
  10. Bahadur R., Bar-Cohen, A., Orthotropic thermal conductivity effect on cylindrical pin fin heat transfer. International Journal of Heat and Mass Transfer 50 (2007), pp. 1155-1162.
  11. Zubair, S.M., Arif, A.F.M., Sharqawy, M.H., Thermal Analysis and Optimization of Orthotropic Pin Fins: A Closed-Form Analytical Solution. Journal of Heat Transfer 132 (2010), pp. 031301-1-031301-8.
  12. Mustafa, M., Zubair, S.M., Arif, A., Thermal analysis of orthotropic annular fins with contact resistance: A closed-form analytical solution. Applied Thermal Engineering 31 (2011), pp. 937-945.
  13. Medrano, M., Yilmaz, M.O., Nogués, M., Martorell, I., Roca, J., Cabeza, L.F., Experimental evaluation of commercial heat exchangers for use as PCM thermal storage systems, Applied Energy 86 (2009), pp. 2047-2055.
  14. Velmurugan, V., Deenadayalan, C.K., Vinod, H., Srithar, K., Desalination of effluent using fin type solar still, Energy 33 (2008), pp. 1719-1727.
  15. Velmurugan, V., Gopalakrishnan, M., Raghu, R., Srithar, K., Single basin solar still with fin for enhancing productivity, Energy Convers. Manag. 49 (2008), pp. 2602-2608.
  16. El-Sebaii, A.A., Ramadan, M.R.I., Aboul-Enein, S., El-Naggar, M., Effect of fin configuration parameters on single basin solar still performance, Desalination 365 (2015), pp.15-24.
  17. Rajaseenivasan, T., Srithar, K., Performance investigation on solar still with circular and square fins in basin with CO2 mitigation and economic analysis, Desalination 380 (2016), pp. 66-74.
  18. Li, B., Byon, C., Experimental and numerical study on the heat sink with radial fins and a concentric ring subject to natural convection Applied Thermal Engineering 90 (2015), pp. 345-351.
  19. Almendros-Ibanez, J.A., Belmonte, J.F., Molina, A.E., Fins with a prescribed temperature at the tip: Efficiency and effectiveness expressions Applied Thermal Engineering 91 (2015), pp. 447-455.
  20. Sadollah A., Choi Y., Yoo, D.G., Kim, J.H., Metaheuristic algorithms for approximate solution to ordinary differential equations of longitudinal fins having various profiles, Applied Soft Computing 33 (2015), pp. 360-379.
  21. Kundu, B., Lee, K.S., A proper analytical analysis of annular step porous fins for determining maximum heat transfer, Energy Conversion and Management 110 (2016), pp. 469-480.
  22. Lee, M., Kim, H.J., Kim, D.K., Nusselt number correlation for natural convection from vertical cylinders with triangular fins, Applied Thermal Engineering 93 (2016), pp. 1238-1247.
  23. Bejan, A., Heat Transfer, John Wiley and Sons, 1993.
  24. Holman, J.P., Heat Transfer, 10th edition, McGraw Hill, 2010.
  25. Nellis, G., Klein, S., Heat Transfer, Cambridge University Press, New York, 2008.
  26. Bejan, A., Kraus, A.D., Heat Transfer Handbook, John Wiley & Sons Inc., New York, 2003, pp.161-260.
  27. Han, J.C., Analytical Heat Transfer, CRC Press, New York, 2012.
  28. Incropera, F.P. , Dewitt, D.P., Bergman, T.L., Lavine, A.S., Principles of Heat and Mass Transfer, International Student Version, 7th edition, John Wiley and Sons, 2012.
  29. Kreith F., R. Manglik, M. Bohn, Principles of Heat Transfer 7th edition, Cencage Learning, 2011.
  30. Lienhard IV, J.H., Lienhard V, J.H, A heat transfer textbook, Phlogiston Press Cambridge Massachusetts, USA, 2000.
  31. Kotas, T.J., The Exergy Method of Thermal Plant Analysis, Department of Mechanical Engineering, Queen Mary College, University of London, 1985.
  32. A. Bejan, Entropy generation through Heat and fluid flow, John Wiley and Sons, 1982.
  33. Seyyedi, S.M., Ajam, H., Farahat, S., A new criterion for the allocation of residues cost in exergoeconomic analysis of energy systems, Energy 35 (2010),8, pp. 3474-3482.
  34. B. Gebhart, Heat Transfer, McGraw Hill, New York, 1971, pp.212-214.

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