A Numerical Study of Forced Convection Heat Transfer over a Series of Flat Tubes between Parallel Plates

Tahseen A.  Tahseen; M.  Ishak; M.M.  Rahman

doi:10.15282/jmes.3.2012.3.0025

Authors

Tahseen A. Tahseen Faculty of Mechanical Engineering, University Malaysia Pahang 26600 Pekan, Pahang, Malaysia
M. Ishak Faculty of Mechanical Engineering, University Malaysia Pahang 26600 Pekan, Pahang, Malaysia
M.M. Rahman Faculty of Mechanical Engineering, University Malaysia Pahang 26600 Pekan, Pahang, Malaysia

DOI:

https://doi.org/10.15282/jmes.3.2012.3.0025

Keywords:

Cross-flow; finite volume; forced convection; in-line flat tube; body-fitted coordinates.

Abstract

This paper presents the numerical study on two-dimensional forced convection heat transfer across three in-line flat tubes confined in a channel under incompressible, steady-state conditions. This system is solved in body-fitted coordinates (BFC) using the finite volume method (FVM). The constant heat flux is imposed on the surface of the tubes as the thermal boundary conditions. The range of the longitudinal pitch-todiameter ratio (SL/Ds) of 2.0–4.0 is considered, the Reynolds number varies within the range 25–300, and the Prandtl number is taken as 0.7. The temperature contours, local Nusselt number distributions at the tube surface and mean Nusselt number were analyzed. The strength of the heat transfer between the surface of the tubes and the air flow increases with an increase in Reynolds number and pitch-to-diameter ratio.

References

Achaichia, A., & Cowell, T. A. (1988). Heat transfer and pressure drop characteristics of flat tube and louvered plate fin surfaces. Experimental Thermal and Fluid Science, 1, 147-157.

Bahaidarah, H. M. S., Ijaz, M., & Anand, N. K. (2006). Numerical study of fluid flow and heat transfer over a series of in-line noncircular tubes confined in a parallel-plate channel. Numerical Heat Transfer: Part B, 50, 97-119.

Beale, S. B., & Spalding, D. B. (1999). A numerical study of unsteady fluid flow in in-line and staggered tube banks. Journal of Fluids and Structures, 13, 723-754.

Bejan, A. (2004). Convection heat transfer. New York, John Wiley and Sons.

Benarji, N., Balaji, C., & Venkateshan, S. P. (2008). Unsteady fluid flow and heat transfer over a bank of flat tubes. Heat and Mass Transfer, 44, 445-461.

Chen, Y., Fiebig, M., & Mitra, N. K. (1998a). Conjugate heat transfer of a finned oval tube part B: heat transfer behaviors. Numerical Heat Transfer: Part A, 33, 387-401.

Chen, Y., Fiebig, M., & Mitra, N. K. (1998b). Conjugate heat transfer of a finned oval tube part A: flow patterns. Numerical Heat Transfer: Part A, 33, 371-385.

Fowler, A. J., & Bejan, A. (1994). Forced convection in banks of inclined cylinders at low Reynolds numbers. International Journal of Heat and Fluid Flow, 15, 90-99.

Jayavel S., & Tiwari S. (2009). Numerical study of heat transfer and pressure drop for flow past inline and staggered tube bundles. International Journal of Numerical Methods for Heat and Fluid Flow, 19, 931-949.

Kundu, D. (1989). Computational and experimental studies of flow field and heat transfer from a row of in-line cylinders centered between two parallel plates. PhD Thesis, University of Texas at Arlington, USA.

Kupprn, T. (2000). Heat exchanger design handbook. New York: Madison Avenue.

Mandhani, V. K., Chhabra, R. P., & Eswaran, V. (2002). Forced convection heat transfer in tube banks in cross flow. Chemical Engineering Science, 57, 379-391.

Marchi, C. H., & Hobmeir, M. A. (2007). Numerical solution of staggered circular tubes in two-dimensional laminar forced convection. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 29, 42-48.

Matos, R. S., Vargas, J. V. C., Laursen, T. A., & Bejan, A. (2004). Optimally staggered finned circular and elliptic tubes in forced convection. International Journal of Heat and Mass Transfer, 47,1347-1359.

Patankar, S. V. (1980). Numerical heat transfer and fluid flow. Washington DC: Hemisphere.

Rahmani, R., Mirzaee, I., & Shirvani, H. (2005). Computation of a laminar flow and heat transfer of air for staggered tube arrays in cross-flow. Iranian Journal of Mechanical Engineering, 6, 19-33.

Rosdzimin, A. R. M., Zuhairi, S. M., & Azwadi, C. S. N. (2010). Simulation of mixed convective heat transfer using lattice boltzmann method. International Journal of Automotive and Mechanical Engineering, 2, 130-143.

Sumner, D. (2010). Two circular cylinders in cross-flow: a review. Journal of Fluids and Structures, 26, 849-899.

Suryanarayana, K. V., Srinivasa Rao, G., Reddy Prasad, D. M., Sharma, K. V., & Sarma, P. K. (2011). Experimental Analysis of Heat and Mass Transfer In a Packed Bed. Journal of Mechanical Engineering and Sciences, 1, 124-132.

Thompson, J. R., Warsi, Z. U. A., & Martin, C. W. (1997). Numerical grid generation, foundations and applications. New York: North-Holland.

Vijaya Lakshmi, B., Subrahmanyam, T., Dharma Rao, V., & Sharma, K. V. (2011). Turbulent film condensation of pure vapors flowing normal to a horizontal condenser tube - constant heat flux at the tube wall. International Journal of Automotive and Mechanical Engineering, 4, 455-470.

Wang, Y. Q., Penner, L. A., & Ormiston, S. J. (2000). Analysis of laminar forced convection of air for crossflow in banks of staggered tubes. Numerical Heat Transfer: Part A, 38, 319-345.

Webb, R. L. (1993). Principles of enhanced heat transfer. New York: John Wiley.

Wilson, A. S., & Bassiouny, M. K. (2000). Modeling of heat transfer for flow across tube banks. Chemical Engineering and Processing, 39, 1-14.

Zukauskas, A. (1972). Heat transfer from tubes in crossflow. Advances in Heat Transfer, 8, 93-115.