Numerical and Experimental Determination of Wavy Fin-Tube Shape Factor

Authors

  • Yau Kar Hing O.Y.L Research and Development Center 47000 Sg. Buloh, Selangor, Malaysia
  • W.M. Chin O.Y.L Research and Development Center 47000 Sg. Buloh, Selangor, Malaysia
  • M.R. Heikal Universiti Teknologi PETRONAS, Bandar Seri Iskandar, 31750 Tronoh, Perak, Malaysia

DOI:

https://doi.org/10.15282/jmes.6.2014.15.0085

Keywords:

Heat transfer; fin shape factor; electrical analogy.

Abstract

This paper presents the numerical and experimental investigations of a wavy fin-tube heat exchanger aimed at correctly accounting for all factors influencing the thermal performance of the exchanger. The shape factor for the complex heat conduction path in the wavy fin is determined by using computational analysis and validated experimentally by utilizing electrical analogy to obtain the electric resistance across the fin. This is used to back-calculate the conduction shape factor. In the experimental study, the potential difference, V and current, I, was measured using a high precision data acquisition unit. The results were used to calculate the shape resistance which was compared with that obtained from the numerical model. Grid independence tests were performed on the model and several analytically derived standard shape factor formulae were also used for comparison with the model outputs. The deviation of the numerical results from the analytical formulae for the cases studied was less than +1.2%. The agreement between the experiments and the numerical model was within +3.5%. The results demonstrated the adequacy of the numerical approach to modeling the wavy fintube heat transfer. Effects such as differences in fin shape, fin length and waviness of the fin design on the shape factor were determined and discussed.

References

Al- Doori, W. H. A. R. (2011). Enhancement of natural convection heat transfer from the rectangular fins by circular perforations. International Journal of Automotive and Mechanical Engineering, 4, 428-436.

Bart, G. C. J., & Hanjalić, K. (2003). Estimation of shape factor for transient conduction. International Journal of Refrigeration, 26(3), 360-367.

Cengel, Y. A., Boles, M. A., & Kanoglu, M. (2007). Thermodynamics: An engineering approach (si units) (Vol. 6). Singapore: McGraw-Hill New York.

Fyrillas, M. M. (2008). Heat conduction in a solid slab embedded with a pipe of general cross-section: Shape factor and shape optimization. International Journal of Engineering Science, 46(9), Fyrillas, M. M. (2010). Shape factor and shape optimization for a periodic array of isothermal pipes. International Journal of Heat and Mass Transfer, 53(5–6), 982-989.

Incropera, F. P., & De Witt, D. P. (2002). Introduction to heat transfer. New York: John Wiley & Sons.

Ishak, M., Tahseen, T. A., & Rahman, M. M. (2013). Experimental investigation on heat transfer and pressure drop characteristics of air flow over a staggered flat tube bank in crossflow. International Journal of Automotive and Mechanical Engineering, 7, 900-911.

Madhusudana, C. V. (1996). Thermal contact conductance. New York: Springer-Verlag.

Negus, K. J., Yovanovich, M. M., & Beck, J. V. (1989). On the nondimensionalization of constriction resistance for semi-infinite heat flux tubes. Journal of Heat Transfer, 7(111), 804-807.

Salgon, J. J., Robbe-Valloire, F., Blouet, J., & Bransier, J. (1997). A mechanical and geometrical approach to thermal contact resistance. International Journal of Heat and Mass Transfer, 40(5), 1121-1129.

Shrivastava, D., & Roemer, R. (2003). A comparison between 2-d and 3-d conduction shape factors. Paper presented at the ASME 2003 Heat Transfer Summer Conference.

Shrivastava, D., & Roemer, R. (2005). An analytical study of 'poisson conduction shape factors' for two thermally significant vessels in a finite, heated tissue. Physics in Medicine and Biology, 50(15), 3627.

Sunderland, J. E., & Johnson, K. R. (1964). Shape factors for heat conduction through bodies with isothermal or convective boundary conditions. ASHRAE Trans, 70, 237-241.

Syam Sundar, L., & Sharma, K. V. (2011). Laminar convective heat transfer and friction factor of al2o3 nanofluid in circular tube fitted with twisted tape inserts. International Journal of Automotive and Mechanical Engineering, 3, 265-278.

Teertstra, P. M., Yovanovich, M. M., & Culham, J. R. (2005). Conduction shape factor models for three-dimensional enclosures. Journal of Thermophysics and Heat Transfer, 19(4), 527-532.

Yovanovich, M. M. (1973). A general expression for predicting conduction shape factors 11th aerospace sciences meeting (pp. 73-121): American Institute of Aeronautics and Astronautics.

Yovanovich, M. M. (1976). General expression for circular constriction resistances for arbitrary flux distributions. Progress in Astronautics and Aeronautics: Radiative Transfer and Thermal Control, 49, 381-396.907-916.

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Published

2014-06-30

How to Cite

[1]
Yau Kar Hing, W.M. Chin, and M.R. Heikal, “Numerical and Experimental Determination of Wavy Fin-Tube Shape Factor”, J. Mech. Eng. Sci., vol. 6, no. 1, pp. 889–900, Jun. 2014.

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