Numerical investigation of convective heat transfer and friction factor of laminar air flow in a perforated trapezoid-shaped plate-fin channel in 3 dimensions with geometric analysis (A new achievement)

Document Type : Article

Authors

Department of Mechanical Engineering, Faculty of Engineering, Urmia University, Urmia, Iran

Abstract

The aim of this study is to develop a unique perforated trapezoid-shaped plate-fin channel. So, a numerical simulation is performed on the mentioned plates with different geometries. The laminar airflow (10≤Re≤1000) passes through the inter-fin passages with perforated fins, whose perforations are distributed equally throughout the duct. The effects of corrugation angle (ϕ), cross-section aspect ratio (α=H/Savg), and cross-section inclination angle (Ψ) are studied. This study has identified the improved performance of the Nusselt number and the Fanning friction factor (f) in a variety of Reynolds. A quantitative assessment of the improvement is done by measuring the area goodness factor (j/f) compared with a plain flat channel. Based on the results, with increasing ϕ from 30˚ to 45˚, the mentioned channel's performance improves. However, as the angle increases more, performance begins to decrease. The channel's performance improves with increasing α. Also, the performance improves by changing Ψ from 90˚ to 76.60˚. Based on the results, for a perforated case with ϕ=45˚, α=10, and Ψ=90˚ at Re=200, versus the non-perforated fin, f decreases ~9%, and j/f increases ~61%. Also, for the above-mentioned perforated case, when Ψ is changed from 90˚ to 76.60˚, at Re=200, f decreases ~1.3%, and j/f increases ~8.2%.

Keywords

Main Subjects

References

References:
1. Kays, W.M. and London, A.L., Compact Heat Exchangers, McGraw-Hill, New York (1984). 
2. Bergles, A.E. "Techniques to enhance heat transfer", In Handbook of Heat Transfer, W.M. Rohsenow, J.P. Hartnett, and Y.I. Cho, Ed., Chapter 11, McGraw- Hill, New York (1998).
3. Shah, R.K. and Sekulic, D.P., Fundamentals of Heat Exchanger Design, John Wiley and Sons, New York (2003).
4. Manglik, R.M. "Heat transfer enhancement", In Heat Transfer Handbook, A. Bejan, and A.D. Kraus, Ed., Chapter 14, Wiley, Hoboken, NJ (2003).
5. Webb, R.L. and Kim, N.H. "Principles of enhanced heat transfer", Taylor and Francis, Boca Raton, FL (2005).
6. London, A.L. "A Brief history of compact heat exchanger technology", In Compact Heat Exchangers - History, Technological Advancement and Mechanical Design Problems, pp. 1-4, ASME, New York (1980).
7. Manglik, R.M. and Bergles, A.E. "The thermal hydraulic design of the rectangular offset strip-fin compact heat exchanger", Compact Heat Exchangers: A Festschrift for A.L. London, pp. 123-149 (1990).
8. Bergles, A.E., Jensen, M.K., Sommerscales, E.F.C., et al. "Literature review of heat transfer enhancement technology for heat exchangers in gas-fired applications", Report No. GRI 91-0146 (1991).
9. Manglik, R.M. and Bergles, A.E. "Heat transfer and pressure drop correlations for the rectangular offset strip fin compact heat exchanger", Experimental Thermal and Fluid Science, 10(2), pp. 171-180 (1995). DOI: 10.1016/0894-1777(94)00096-Q.
10. Zhang, J., Kundu, J., and Manglik, R.M. "Effect of fin waviness and spacing on the lateral vortex structure and laminar heat transfer in wavyplate- fin cores", International Journal of Heat and Mass Transfer, 47(8-9), pp. 1719-1730 (2004). DOI: 10.1016/j.ijheatmasstransfer.2003.10.006.
11. Manglik, R.M., Zhang, J., and Muley, A. "Low Reynolds number forced convection in threedimensional wavy-plate-fin compact channels: fin density effects", International Journal of Heat and Mass Transfer, 48(8), pp. 1439-1449 (2005). DOI: 10.1016/j.ijheatmasstransfer.2004.10.022.
12. Shah, R.K. and London, A.L., Laminar Flow Forced Convection in Ducts, Academic Press, New York (1978).
13. Manglik, R.M. and Bergles, A.E. "Enhanced heat and mass transfer in the new millennium: A review of the 2001 literature", Journal of Enhanced Heat Transfer, 11(2), pp. 87-118 (2004). DOI: 10.1615/JEnhHeat- Transf.v11.i2.10.
14. Shah, R.K. and Bhatti, M. "Laminar convective heat transfer in ducts", In Handbook of Single-Phase Convective Heat Transfer, S. Kakac, R.K. Shah, and W. Aung, Ed., pp. 3.1-3.137 (1987).
15. Sadasivam, R., Manglik, R.M., and Jog, M.A. "Fully developed forced convection through trapezoidal and hexagonal ducts", International Journal of Heat and Mass Transfer, 42, pp. 4321-4331 (1999). DOI: 10.1016/S0017-9310(99)00091-5.
16. Petkov, V.M., Zimparov, V.D., and Bergles, A.E. "Performance evaluation of ducts with non-circular shapes: Laminar fully developed  flow and constant wall temperature", International Journal of Thermal Sciences, 79, pp. 220-228 (2014). DOI: 10.1016/j.ijthermalsci.2013.12.005.
17. Reis, M.C., Sphaier, L.A., Alves, L.S., et al. "Approximate analytical methodology for calculating friction factors in flow through polygonal cross section ducts", Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40(76) (2018). DOI: 10.1007/s40430- 018-1019-6.
18. Abed, AlKareem, S.S., Khudheyer, A.F., and Mustafa, F.F. "Numerical investigation of turbulent air Flow convective heat transfer through a trapezoidal duct", Journal of Mechanical Engineering Research and Developments, 43(7), pp. 100-108 (2020). 
19. Fujii, M., Seshimo, Y., and Yamanaka, G. "Heat transfer and pressure drop of perforated surface heat exchanger with passage enlargement and contraction", International Journal of Heat and Mass Transfer, 31(1), pp. 135-142 (1988). DOI: 10.1016/0017- 9310(88)90230-x.
20. Fujii, M., Seshimo, Y.U., Ueno, S., et al. "Forced air heat sink with new enhanced fins", Heat Transfer, Japanese Research, 18(6), pp. 53-65 (1989).
21. Ji, T.H., Kim, S.Y., and Hyun, J.M. "Pressure drop and heat transfer correlations for triangular folded fin heat sinks", IEEE Transactions on Components and Packaging Technologies, 30, pp. 3-8 (2007). DOI: 10.1109/TCAPT.2006.885943.
22. Ganorkar, A.B. and Kriplani, V.M. "Experimental study of heat transfer rate by using lateral perforated fins in a rectangular channel", MIT International Journal of Mechanical Engineering, 2(2), pp. 91-96 (2012).
23. Shahdad, I. and Fazelpour, F. "Numerical analysis of the surface and geometry of plate fin heat exchangers for increasing heat transfer rate", International Journal of Energy and Environmental Engineering, 9, pp. 155-167 (2018). DOI: 10.1007/s40095-018-0270-z.
24. Mohammad, M., Talukder, M.P.H., Rahman, K.A., et al. "Experimental investigation on the effect of different perforation geometry of vertical fins under forced convection heat transfer", International Conference on Mechanical Engineering and Renewable Energy, Chittagong, Bangladesh (2019).
25. Kumar, B., Patil, A.K., Kumar, M., et al. "Performance enhancement by perforated twisted tape tube insert with single and double V cuts in heat exchanger tube", Heat Transfer Research, 51(5), pp. 395-406 (2020). DOI: 10.1615/HeatTransRes.2019029789.
26. Noorbakhsh, M., Zaboli, M. and Mousavi, S.S. "Numerical evaluation of the effect of using twisted tapes as turbulator with various geometries in both sides of a double pipe heat exchanger", Journal of Thermal Analysis and Calorimetr, 140(1), pp. 1341-1353 (2020). DOI: 10.1007/s10973-019-08509-w.
27. Pradeep, H., Pramoda, B.S., Shivakumar, H.S., et al. "Design and analysis on effects of different fin perforations", International Journal of Future Generation Communication and Networking, 13(3), pp. 1141-1152 (2020).
28. Srivastava, G.P., Patil, A.K., and Kumar, M. "Parametric effect of diverging perforated cones on the thermo-hydraulic performance of a heat exchanger tube", Heat and Mass Transfer, 57, pp. 1425-1437 (2021). DOI: 10.1007/s00231-021-03035-8.
29. Rauber, W.K., Silva, U.F., Vaz Jr., M., et al. "Investigation of the effects of fin perforations on the thermal-hydraulic performance of Plate-Finned heat exchangers", International Journal of Heat and Mass Transfer, 187, (2022). DOI: 10.1016/j.ijheatmasstransfer.2022.122561.
30. Piradl, M. and Pesteei, S.M. "Numerical study of heat transfer of laminar air  flow in perforated trapezoidal corrugated plate-fin ducts", Journal of Mechanical Engineering Science, 236(6), pp. 3216-3229 (2022). DOI: 10.1177/09544062211034544.
31. Chen, Y., Chen, H., Zeng, H., et al. "Structural optimization design of sinusoidal wavy plate fin heat sink with crosscut by Bayesian optimization", Applied Thermal Engineering, 213, (2022). DOI: 10.1016/j.applthermaleng.2022.118755.
32. Towsyfyan, H., Freegah, B., Hussain, A.A., et al. "Novel design to enhance the thermal performance of plate-fin heat sinks based on CFD and artificial neural networks", Applied Thermal Engineering, 219 (2023). DOI: 10.1016/j.applthermaleng.2022.119408.
33. Eiamsa-ard, S., Phila, A., Wongcharee, K., et al. "Thermal evaluation of flow channels with perforated baffles", Energy Reports, 9(3), pp. 525-532 (2023). DOI: 10.1016/j.egyr.2023.01.064.
34. Ferziger, J.H. and Peric, M., Computational Methods for Fluid Dynamics, Springer, 3rd Edition (2002). 
35. Richardson, L.F. "The approximate arithmetical solution by finite differences of physical problems including differential equations, with an application to the stresses in a masonry dam", Philosophical Transactions of the Royal Society A, 210(459-470), pp. 307-357 (1911). DOI: 10.1098/rsta.1911.0009.
36. Richardson, L.F. and Gaunt, J.A. "The deferred approach to the limit", Philosophical Transactions of the Royal Society A., 226(636-646), pp. 299-349 (1927). DOI: 10.1098/rsta.1927.0008.
Scientia Iranica
Volume 31, Issue 20
Transactions on Mechanical Engineering (B)
November and December 2024
Pages 1889-1905

Files

History

  • Receive Date: 06 April 2022
  • Revise Date: 15 September 2023
  • Accept Date: 27 November 2023

Share

How to cite

Statistics