Numerical simulation of laminar convection heat transfer from an array of circular perforated fins


Department of Mechanical Engineering, Shahrekord University, Shahrekord, Iran


The present paper reports the laminar fluid flow and heat transfer of a heated array of circular-perforated and solid fins mounted over a flat surface using the finite-volume method. One to four circular cross-sectional perforations are made along the length of the fins. The SIMPLE algorithm is used for pressure-velocity coupling and the second order upwind technique is employed to discretize the governing equations. The simulations are done for a range of Reynolds number, 100 < Re < 350, corresponds to the flow velocity of 0.37-1.28 m/s. The average Nusselt number, the average friction factor coefficient, and the perforated-fin effectiveness are calculated. The results demonstrated that for any Reynolds number, the heat transfer decreases and the friction factor increases with the number of perforations. It was observed that the fin with circular perforation had a higher effectiveness in comparison with the rectangular-perforated fins.


[1] Dewan A., Mahanta P., Sumithr Raju K., Kumar S., Review of Passive Heat Transfer Augmentation Techniques, Journal of Power and Energy (2004) 218: 509-527.

[2] Kiwan S., Al-Nimr M. A., Using Porous Fins for Heat Transfer Enhancement, Journal of Heat Transfer(2001) 5: 123-790.

[3] Bilen K., Yapici S., Celik C. A., Taguchi Approach for Investigation of Heat Transfer from a Surface Equipped with Rectangular Blocks, Energy Conversion and Management (2001) 42: 951-961.

[4] EI-Sayed S. A., Mohamed Sh. M., Abouda A. L., Experimental Study of Heat Transfer and Fluid Flow in Longitudinal Rectangular-fin Array Located in Different Orientations in Fluid Flow, Experimental Thermal and Fluid Science (2004) 29: 113-128.

[5] Baskaya S., Sivrioglu M., Ozek M., Parametric Study of Natural Convection Heat Transfer from Horizontal Rectangular Fin Arrays, International 

Journal of Thermal Science (2000) 39: 797-805.

[6] Dijk A.V., Lange H. C., Compressible Laminar Flow Around a Wall–Mounted Cubic Obstacle, Journal of Computational Fluids (2007) 36: 949-960.

[7] Kundu B., Bhanja D., Lee  K.S. A Model on the Basis of Analytics for Computing Maximum Heat Transfer in Porous Fins, International Journal of Heat and Mass Transfer (2012) 55: 7611-7622.

[8] Kundu  B., Lee, K.S., Exact Analysis from Minimum Shape of Porous Fins under Convection and Radiation Heat Exchange with Surrounding, International Journal of Heat and Mass Transfer (2015) 81: 439-448.

[9] Velayati E., Yaghoubi M.,Numerical Study of Convective Heat Transfer from an Array of Parallel Bluff Plates, International Journal of Heat and Fluid Flow (2005) 26: 80-91.

[10] Molki M., Hashemi-Esfahanian A., Turbulent Convective Mass Transfer Downstream of a Perforated Baffle Blockage, International Journal of Heat and Fluid Flow (1992) 13: 116-123.

[11]Sara O.N., Pekdemir T., Yapici S., Yilmaz M., Heat-Transfer Enhancement in a Channel Flow with Perforated Rectangular Blocks, International Journal Heat and Fluid Flow (2001) 22: 509-518.

[12]Sahin, B., Demir A., Thermal Performance Analysis and Optimum Design Parameters of Heat Exchanger Having Perforated Pin Fins, Energy Conversion and Management (2008) 49: 1684-1695.

[13]Shaeri M.R., Yaghoubi M., Numerical Analysis of Turbulent Convection Heat Transfer from an Array of Perforated Fins, International Journal of Heat and Fluid Flow (2009) 30: 218-228.

[14] Igarashi T., Mayumi Y.,Fluid Flow and Heat Transfer Around a Rectangular 

Cylinder with Small Inclined Angle (the case of a width/height ratio of a section of 5), International Journal of Heat and Fluid Flow (2001) 22: 279-286.

[15]Karabacak R., Yakar G. ,Forced Convection Heat Transfer and Pressure Drop for a Horizontal Cylinder with Vertically Attached Imperforate and Perforated­ Circular Fins, Energy Conversion and Management (2011) 52: 2785-2793.

[16] Huang G. J., Wong S. C., Lin, C. P., Enhancement of Natural Convection Heat Transfer from Horizontal Rectangular Fin Arrays with Perforations in Fin Base, International Journal of Thermal Science (2014) 84: 164-174.