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MANFIS–GA Heat Transfer Analysis and Optimization of Fins with Elliptical Perforation

  • C. Balachandar
  • S. Arunkumar
  • R. Madhumitha
  • M. VenkatesanEmail author
Research Paper

Abstract

In the present work, numerical heat transfer analysis of fins with elliptic perforations is performed and a soft computing-based optimization method is proposed for its design. The computational analysis is performed by solving coupled heat and flow transport equations after validating the numerical model with an existing experimental result. A parametric study is done based on the numerical model to examine the effects of fin spacing, fin height, fin perforation major axis, minor axis lengths and the number of perforations. The analyzed model results in an increased heat transfer rate with volume reduction of up to 72% when compared to a rectangular solid fin. But the best heat transfer rate and volume reduction are not achieved for the same set of fin parameters. A multiple response optimization technique needed to arrive at a fin configuration that provides considerable reduction in weight along with an increase in heat transfer is proposed. It is difficult to obtain reasonable approximations using mathematical regressions for such multiple response optimizations as the system response is highly nonlinear. An attempt is made to use multiple output adaptive neuro-fuzzy inference system coupled with genetic algorithm to optimize the parameters of the fins with elliptical perforation considering increased heat transfer and weight reduction. The proposed new optimization algorithm is found to be more effective in determining the optimal parameters when compared to existing regression and soft computing methods for optimization.

Keywords

Heat fin Elliptical perforation MANFIS–GA Computational analysis Optimization 

List of symbol

H

Convection heat transfer coefficient, W/(m−2 K)

A

Area, m2

Nu

Nusselt number

S

Fin spacing

H

Fin height

N

Number of fins

L

Fin length

W

Fin width

t

Fin thickness

d

Base plate thickness

Lp

Perforation major axis length

Lopt

Optimized major axis length

Wp

Perforation minor axis length

Wopt

Optimized minor axis length

N

Number of perforations

Ra

Rayleigh number

Tw

Average base plate temperature, °C

Ta

Ambient temperature, °C

T

Temperature, °C

ΔT

Base-to-ambient temperature diff., °C

k

Thermal conductivity, W/(m K)

g

Gravitational acceleration, m/s2

β

Volumetric thermal expansion coefficient, 1/K

ν

Kinematic viscosity, m2/s

α

Thermal diffusivity, m2/s

References

  1. Alessa AH, Al-Hussien FMS (2004) The effect of orientation of square perforations on the heat transfer enhancement from a fin subjected to natural convection. Heat Mass Transfer 40:509–515Google Scholar
  2. Akyol Ugur, Bilen Kadir (2006) Heat transfer and thermal performance analysis of a surface with hollow rectangular fins. Appl Therm Eng 26:209–216CrossRefGoogle Scholar
  3. Al Essa AH, Al-Odat MQ (2009) Enhancement of natural Convection heat transfer from a fin by triangular perforations of bases parallel and toward its base. Arb J Sci En 34(2B):531–544Google Scholar
  4. Al Essa AH, Al-Widyan MI (2008) Enhancement of natural convection heat transfer from a fin by triangular perforations of bases parallel and toward its tip. Appl Math Mech 29(8):1033–1044CrossRefzbMATHGoogle Scholar
  5. Al Essa AH, Maqableh AM, Ammourah S (2009) Enhancement of natural convection heat transfer from a fin by rectangular perforations with aspect ratio of two. Int J Phys Sci 4(10):540–547Google Scholar
  6. Al-Essa AH (2012) Augmentation of heat transfer of a fin by rectangular perforations with aspect ratio of three. Int J Mech Appl 2(1):7–11Google Scholar
  7. ANSYS (2008) Fluent 12.0 User’s manual, ANSYS, Inc.Google Scholar
  8. Balachandar C, Arunkumar S, Venkatesan M (2015) Computational heat transfer analysis and combined ANN–GA optimization of hollow cylindrical pin fin on a vertical base plate. Sadhana 40(6):1845–1863CrossRefGoogle Scholar
  9. Çakar KM (2009) Numerical investigation of natural convection from vertical plate finned heat sinks. M.S. Thesis, Middle East Technical University, AnkaraGoogle Scholar
  10. Chambers JM (1992) Linear models. In: Chambers JM, Hastie TJ (eds) Chapter 4 of statistical models in S. Wadsworth & Brooks/Cole, Pacific GroveGoogle Scholar
  11. Churchill SW, Chu HHS (1975) Correlating equations for laminar and turbulent free convection from a vertical plate. Int J Heat Mass Transf 18:1323–1329CrossRefGoogle Scholar
  12. Culliere Th, Titli A, Corrieu JM (1995) Neuro-fuzzy modeling of nonlinear systems for control purposes. Fuzzy systems. In: International joint conference of the 4th IEEE international conference on fuzzy systems and the second international fuzzy engineering symposium, Proceedings of 1995 IEEE international, vol 4. IEEEGoogle Scholar
  13. Dorignac E, Vullierme JJ, Broussely M, Foulon C, Mokkadem M (2005) Experimental heat transfer on the windward surface of a perforated flat plate. Int J Therm Sci 44:885–893CrossRefGoogle Scholar
  14. Güvenç A, Yüncü H (2001) An experimental investigation on performance of fins on a horizontal base in free convection heat transfer. Heat Mass Transf 37(4):409–416Google Scholar
  15. Huang CH, Liu YC, Ay H (2015) The design of optimum perforation diameters for pin fin array for heat transfer enhancement. Int J Heat Mass Transf 84:752–765CrossRefGoogle Scholar
  16. Kutscher CF (1994) Heat exchange effectiveness and pressure drop for air flow through perforated plates with and without crosswind. J Heat Transfer 116:391–399CrossRefGoogle Scholar
  17. Leung CW, Probert SD (1987) Natural-convective heat exchanger with vertical rectangular fins and base: design criteria. IMechE Proc 201:365–372Google Scholar
  18. Leung CW, Probert SD (1989) Thermal effectiveness of short protrusion rectangular, heat exchanger fins. Appl Energy 34:1–8CrossRefGoogle Scholar
  19. Leung CW, Probert SD, Shilston MJ (1985) Heat exchanger: optimal separation for vertical rectangular fins protruding from a vertical rectangular base. Appl Energy 19:77–85CrossRefGoogle Scholar
  20. McAdams WH (1954) Heat transmission. McGraw-Hill, New YorkGoogle Scholar
  21. Prasad BVSSS, Gupta AVSSKS (1998) Note on the performance of an optimal straight rectangular fin with a semicircular cut at the tip. Heat Transfer Eng 14(1):53–57CrossRefGoogle Scholar
  22. Sahin Bayram, Demir Alparslan (2008a) Performance analysis of a heat exchanger having perforated square fins. Appl Therm Eng 28(5/6):621–623CrossRefGoogle Scholar
  23. Sahin B, Demir A (2008b) Performance analysis of a heat exchanger having perforated square fins. Appl Therm Eng 28:621–632CrossRefGoogle Scholar
  24. Shaeri MR, Jen TC (2012) The effects of perforation sizes on laminar heat transfer characteristics of an array of perforated fins. Energy Convers Manag 64:328–334CrossRefGoogle Scholar
  25. Shaeri MR, Yaghoubi M, Jafarpur K (2009) Heat transfer analysis of lateral perforated fin heat sinks. Appl Energy 86(10):2019–2029CrossRefGoogle Scholar
  26. Souidi N, Bontemps A (2001) Countercurrent gas–liquid flow in plate-fin heat exchangers with plain and perforated fins. Int J Heat Fluid Flow 22:450–459CrossRefGoogle Scholar
  27. Sparrow EM, Oritz Carranco M (1982) Heat transfer coefficient for the upstream face of a perforated plate positioned normal to an oncoming flow. Int J Heat Mass Transfer 25(1):127–135CrossRefGoogle Scholar
  28. Tari I, Mehrtash M (2013) Natural convection heat transfer from inclined plate-fin heat sinks. Int J Heat Mass Transf 56:574–593CrossRefGoogle Scholar
  29. Welling JR, Wooldridge CV (1965) Free convection heat transfer coefficient from rectangular fin arrays. J Heat Transfer 87:439–444CrossRefGoogle Scholar
  30. Wessa P (2015) Multiple regression (v1.0.38) in free statistics software (v1.1.23-r7). Office for Research Development and Education. http://www.wessa.net/rwasp_multipleregression.wasp/. Accessed Dec 2015
  31. Yazicioğlu B, Yüncü H (2007) Optimum fin spacing of rectangular fins on a vertical base in free convection heat transfer. Heat Mass Transf 44:11–21CrossRefGoogle Scholar
  32. Zimmermann H-J (1978) Fuzzy programming and linear programming with several objective functions. Fuzzy Sets Syst 1(1):45–55MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Shiraz University 2018

Authors and Affiliations

  1. 1.School of Mechanical EngineeringSASTRA Deemed UniversityThanjavurIndia

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