Geometrical Evaluation of a Pair of Elliptical Tubes Subjected to a Flow with Forced Convection Heat Transfer

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In the present work it is performed a study on the geometric evaluation of a pair of elliptical tubes subjected to external flow with forced convection by means of numerical approach. The objectives are the maximization of Nusselt number (NuD) and the minimization of drag coefficient (CD). The degrees of freedom for the pair of tubes arrangement are: the ratio between the transverse pitch and characteristic length of tubes (ST/D), where D = (A)1/2, the ratio of the main and secondary axes of the elliptical tube (a/b) and the angle of incidence of the flow on the pair of tubes (α). The simulations were carried out considering two-dimensional forced convective flows, in the laminar regime and incompressible conditions. For all configurations, Reynolds and Prandtl numbers are constant, ReD = 100 and Pr = 0.71. The Finite Volume Method (FVM) is used to solve conservation equations of mass, momentum and energy. The software Gmsh is used for creation of the geometries and generation of the meshes. Results showed that the degrees of freedom affected the fluid dynamic and thermal performance of the forced convective flow. According to the objectives outlined in this study, the best performance for the maximization of heat transfer was obtained when α = 0o, a/b = 1⁄2 and ST/D = 3.5. In the case of the fluid dynamics study, the optimal result for CD minimization occurred when α = 0o, a/b = 2.0 and ST/D = 4.0. Thus, the optimal geometry will depend on the indicator performance where the problem is evaluated.

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155-163

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August 2019

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© 2019 Trans Tech Publications Ltd. All Rights Reserved

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[1] S. Kakaç, H. Liu, Heat Exchanger: Selection, Rating and Thermal Design. 2nd ed. New York. CRC Press, (2002).

Google Scholar

[2] R.L.S. Mainardes, Optimization of Circular and Eliptical Finned Tubes Heat Exchangers in Turbulent Regime (in Portuguese). Energy and Thermal Sciences Doctorate Thesis, Universidade Federal do Paraná, (2007).

Google Scholar

[3] A.L. Razera, Numerical Study of Heat Transfer Density Maximization in Laminar Flows over Elliptical Cylinders Using Constructal Design Method (in Portuguese), Mechanical Engineering Dissertation, Universidade Federal do Rio Grande do Sul, (2016).

DOI: 10.29289/2594539420190000419

Google Scholar

[4] W.M. El-Maghlany, M.A. Alnakeeb, M.A. Teamah, M.M. Sorour, Experimental and Numerical Study of Laminar Mixed Convection from a Horizontal Isothermal Elliptic Cylinder. Int. J. Heat Mass Transf. 130 (2018) 116-127. https://doi.org/10.1016/j.ijthermalsci.2018.04.018.

DOI: 10.1016/j.ijthermalsci.2018.04.018

Google Scholar

[5] R.S. Matos, J.V.C. Vargas, T.A. Laursen, A. Bejan, Optimally staggered finned circular and elliptic tubes in forced convection, Int. J. Heat Mass Transf. 47 (2004) 1347–1359, http://dx.doi.org/10.1016/j.ijheatmasstransfer.2003.08.015.

DOI: 10.1016/j.ijheatmasstransfer.2003.08.015

Google Scholar

[6] T. Bello-Ochende, J.P. Meyer, O.I. Ogunronbi, Constructal multiscale cylinders rotating in cross-flow, Int. J. Heat Mass Transf. 54 (2011) 2568–2577, http://dx.doi.org/10.1016/j.ijheatmasstransfer.2011.02.004.

DOI: 10.1016/j.ijheatmasstransfer.2011.02.004

Google Scholar

[7] T. Bello-Ochende, A. Bejan, Constructal multi-scale cylinders with natural convection, Int. J. Heat Mass Transf. 48 (2005) 4300–4306, http://dx.doi.org/10.1016/j.ijheatmasstransfer.2005.05.023.

DOI: 10.1016/j.ijheatmasstransfer.2005.05.023

Google Scholar

[8] G.M. Barros, G. Lorenzini, L.A. Isoldi, L.A.O. Rocha, E.D. Dos Santos, Influence of mixed convection laminar flows on the geometrical evaluation of a triangular arrangement of circular cylinders, Int. J. Heat Mass Transf. 114 (2017) 1188–1200. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2017.07.010.

DOI: 10.1016/j.ijheatmasstransfer.2017.07.010

Google Scholar

[9] L.A.O. Rocha, M. das N. Gomes, A.F. Porte, M.M. Galarça, I.C. Acunha Jr., F.M.V. da Silva, L.A. Isoldi, E.D. Dos Santos, Constructal Design of Turbulent Forced Convective Flows over a Pair of Circular cylinders, in: Constr. Law Conf., Nanjing, 2013, p.174–184.

DOI: 10.5380/reterm.v11i1-2.62004

Google Scholar

[10] F.B. Teixeira, G. Lorenzini, M.R. Errera, L.A.O. Rocha, L.A. Isoldi, E.D. dos Santos, Constructal Design of Triangular Arrangements of Square Bluff Bodies under Forced Convective Turbulent Flows, Int. J. Heat Mass Transf. 126 (2018) 521 – 535. https://doi.org/10.1016/j.ijheatmasstransfer.2018.04.134.

DOI: 10.1016/j.ijheatmasstransfer.2018.04.134

Google Scholar

[11] L. Hermany, G. Lorenzini, R.J. Klein, F.F. Zinani, E.D. dos Santos, L.A. Isoldi, L.A.O. Rocha, Constructal Design Applied to Elliptic Tubes in Convective Heat Transfer Cross-Flow of Viscoplastic Fluids, Int. J. Heat Mass Transfer 116 (2018) 1054 – 1063. https://doi.org/10.1016/j.ijheatmasstransfer.2017.09.108.

DOI: 10.1016/j.ijheatmasstransfer.2017.09.108

Google Scholar

[12] H.K. Versteeg, W. Malalasekera, An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Pearson, (2007).

Google Scholar

[13] H. Schlichting, 1979, Boundary-layer Theory, McGraw-Hill, New York.

Google Scholar

[14] A. Bejan, Convection Heat Transfer, 4th Edition, Wiley, (2013).

Google Scholar

[15] ANSYS. 14.0. – FLUENT User's Guide, ANSYS Inc., (2011).

Google Scholar

[16] S.V. Patankar, Numerical Heat Transfer and Fluid Flow, McGraw Hill, New York, USA, (1980).

Google Scholar