BEJAN'S CONSTRUCTAL THEORY AND OVERALL PERFORMANCE ASSESSMENT: THE GLOBAL OPTIMIZATION FOR HEAT EXCHANGING FINNED MODULES

Abstract

Bejan's Constructal theory has provided a dramatic contribution to the design of natural and industrial systems, mainly because all sort of flows tend to follow precise rules which Bejan was able to explain. Recently, for what concern heat removal systems, the Authors have extended the classical Constructal optimization to a broad range of 3-D geometries, also applying such results to the optimal choice of the suitable thermal carrier fluid. The definition of the Global Optimization was centred on the concepts of Relevance and Overall Performance Coefficient, which are technical parameters. This paper follows the principle of Constructal theory in the assessment of the Global Optimization to highlight how the coupling of the two may provide a tool becoming part of everyday decision making processes in future design. The results show not only which is the best performing module but also proves that, via the superimposition of a suitable Relevance value, the Overall Performance Coefficient allows for the correct characterization of the whole heat transfer process, so confirming the interesting perspective of the novel approach proposed.

Keywords

Dates

  • Submission Date2013-02-11
  • Revision Date2013-10-26
  • Acceptance Date2013-10-30
  • Online Date2013-11-16

DOI Reference

10.2298/TSCI130211146L

References

  1. Bejan, A., Almogbel, M., Constructal T-shaped Fins, International Journal of Heat and Mass Transfer, 43 (12) (2000), pp. 2101-2115
  2. Lorenzini, G., Rocha, L.A.O., Constructal design of Y-shaped assembly of fins, International Journal of Heat and Mass Transfer, 49 (23 - 24) (2006), pp. 4552-4557
  3. Lorenzini, G., Rocha, L.A.O., Constructal design of T-Y assembly of fins for an optimized heat removal, International Journal of Heat and Mass Transfer, 52 (5-6) (2009), pp. 1458-1463
  4. Lorenzini, G., Rocha, L.A.O., Geometric optimization of T-Y-shaped cavity according to Constructal design, International Journal of Heat and Mass Transfer, 52 (21-22), (2010), pp. 4683-4688
  5. L. A. O. Rocha et al., Constructal design of a cavity cooled by convection", International Journal of Design & Nature and Ecodynamics, 5 (3) (2010), pp. 1-9
  6. Lorenzini, G. et al., Constructal design of complex assembly of fins, ASME Journal of Heat Transfer, 133 (8) (2011), pp. 1-7
  7. Lorenzini, G. et al., Geometric optimization of isothermal cavities according to Bejan's theory, International Journal of Heat and Mass Transfer, 54 (17-18) (2011), pp. 3868-3873
  8. Lorenzini, G. et al., Costructal design applied to the geometric optimization of y-shaped cavities embedded in a conducting medium, ASME Journal of Electronic Packaging, 133 (4) (2011), pp. 1-8
  9. Lorenzini, G. et al., Constructal design applied to the optimization of complex geometries: T-Y-shaped cavities with two additional lateral intrusions cooled by convection, International Journal of Heat and Mass Transfer, 55 (5-6) (2012), pp. 1505-1512
  10. Lorenzini, G. et al., Constructal design of cavities inserted into a cylindrical solid body, ASME Journal of Heat Transfer, 134 (7) (2012), pp. 1-6
  11. Conti A., Lorenzini G., Jaluria Y., "Transient conjugate heat transfer in straight microchannels", International Journal of Heat and Mass Transfer, 55 (25-26), 7532-7543, 2012
  12. Lorenzini G., Biserni C., Rocha L.A.O., "Constructal design of X-shaped conductive pathways for cooling a heat-generating body", International Journal of Heat and Mass Transfer, 58 (1-2), 513 - 520, 2013.
  13. Lorenzini G., Biserni C., Rocha L.A.O., "Constructal design of non-uniform X-shaped conductive pathways for cooling", International Journal of Thermal Sciences, 71 (September), 140 - 147, 2013.
  14. Lorenzini G., Conti A., De Wrachien D., "Computational Fluid Dynamics (CFD) picture of water droplet evaporation in air", Journal of Irrigation and Drainage Systems Engineering, 1 (1), 1- 12, 2012.
  15. De Wrachien D., Lorenzini G., "Quantum mechanics applied to the dynamic assessment of a cluster of water particles in sprinkler irrigation", Journal of Engineering Thermophysics, 21 (3), 1 - 5, 2012
  16. De Wrachien D., Lorenzini G., "Water drops kinematic analysis: the classic-quantum and single-multiparticle viewpoints", Central European Journal of Engineering, 3 (1), 121 - 125, 2013.
  17. De Wrachien D., Lorenzini G., Mambretti S., "Water particle kinematics quantum approach: a challenge for sprinkler irrigation systems" , Irrigation and Drainage (ICID), 62 (2), 156 - 160, 2013
  18. De Wrachien D., Lorenzini G., Mambretti S., "Water droplet trajectories in a sprinkler spray flow: the classic versus quantum and single versus multi-droplet pictures" International Journal of Computational Methods and Experimental Measurements (CMEM), 1 (2), 164 - 172, 2013.
  19. Xie G., Liu J., Zhang W., Lorenzini G., Biserni C., "Simulation and Improvement of Temperature Distributions of a Framed Mould during the Autoclave Composite Curing Process", Journal of Engineering Thermophysics, 22 (1), 43 -61, 2013.
  20. Lorenzini G., Saro O., "Thermal fluid dynamic modelling of a water droplet evaporating in air", International Journal of Heat and Mass Transfer, 62 (C), 323 - 335, 2013.
  21. Dogan, M., Sivrioglu, M., Experimental investigation of mixed convection heat transfer from longitudinal fins in a horizontal rectangular channel, International Journal of Heat and Mass Transfer, 32 (9) (2005), pp. 1244-1251
  22. Guvenc, A., Yuncu, H., An experimental investigation on performance of fins on a horizontal base in free convection heat transfer, Heat and Mass Transfer, 37 (4-5) (2001), pp. 409-416
  23. Yazicioglu, B., Yuncu, H., Optimum fin spacing of rectangular fins on a vertical base in free convection heat transfer, Heat and Mass Transfer 44 (1) (2007), pp. 11-21
  24. Marthinuss, J. et al., Air cooled compact heat exchanger design for electronics cooling, Electronics Cooling Magazine, 10 (1), www.electronics-cooling.com/html/2004_february_a3.html
  25. Minichiello, A., Effective thermal design for electronic systems, Electronics Cooling Magazine, 9 (2) (2003), www.electronics-cooling.com/html/2003_may_a1.html
  26. Lorenzini, G., A numerical approach to the problem of conjugate heat transfer in turbulent forced convection for a fluid in a pipe with internal longitudinal fins, Proceedings, 1st Int. Conf. on Engin. Thermophysics, Beijing, China, 2007, pp. 194-203
  27. Horvat, A., Catton, I., Numerical technique for modeling conjugate heat transfer in an electronic device heat sink, International Journal of Heat and Mass Transfer, 46 (12) (2003), pp. 2155-2168
  28. Lorenzini, G., Moretti, S., Numerical analysis on heat removal from Y-shaped fins: efficiency and volume occupied for a new approach to performance optimization, International Journal of Thermal Sciences, 46 (6) (2007), pp. 573-579
  29. Lorenzini, G., Moretti, S., A CFD application to optimise T-shaped fins: comparisons with Constructal theory's results, ASME Journal of Electronic Packaging 129 (3) (2007), pp. 324-327
  30. Lorenzini, G., Moretti, S., Numerical heat transfer optimization in modular systems of Y-shaped fins, ASME Journal of Heat Transfer, 130 (8) (2008), pp. 1-5
  31. Lorenzini, G., Moretti, S., Numerical analysis of heat removal enhancement with extended surfaces, International Journal of Heat and Mass Transfer, 50 (3-4) (2007), pp. 746-755
  32. Lorenzini, G., Moretti, S., Numerical performance analysis of Constructal I and Y finned heat exchanging modules, ASME Journal of Electronic Packaging, 131(3) (2009), pp. 1-10
  33. Lorenzini, G., Moretti, S.,, Thermofluid dynamic performances numerical-constructal analysis of heat exchangers with standard and optimized profiles, International Journal of Heat and Technology, 27 (1) (2009), pp. 145-149
  34. Lorenzini G., Moretti S., A Bejan's Constructal Theory approach to the Overall Optimization of heat exchanging finned modules with air in forced convection and laminar flow condition, ASME Journal of Heat Transfer, 131 (8) (2009), pp. 1-18
  35. Lorenzini, G., Moretti, S., Bejan's Constructal theory analysis of gas-liquid cooled finned modules, ASME Journal of Heat Transfer, 133 (7) (2011), pp. 1-10
  36. "Comsol Multiphysics - version 3.5a - Users' Manuals", 2009
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