Numerical Investigation of Incompressible Forced Convection in a Channel with a Rectangular Prism

Yıl 2020, Cilt: 24 Sayı: 1, 10 - 18, 01.02.2020

Mert Özsaban , Erman Aslan , Hasan Rıza Güven

https://doi.org/10.16984/saufenbilder.551492

Cited By: 1

Öz

The aim of
the present study is to investigate the effects of the rectangular prism on
forced convection in a channel with the Lattice Boltzmann Method (LBM). In this
context, numerical analysis of steady and unsteady incompressible flow and heat
transfer has been done in a two-dimensional straight parallel channel. Momentum
and energy transport are modelled with LBM. This study is used as a single
relaxation time rule with a uniform square lattice structure. Different
Reynolds numbers (50 and 1000) and constant Prandtl number value (0.7) have
been investigated. In this study Nusselt number has been calculated for channel
flow with rectangular prism and it was compared with an empty channel.
Streamlines and isotherms were presented for the above-mentioned cases. LBM
results were validated by commercial CFD code with the same conditions. It is
found from results that Nusselt number with a rectangular prism in a channel
was increased and the flow goes to transient form at Re=1000. Also, LBM code
results are similar accuracy with commercial CFD code.

Anahtar Kelimeler

Lattice Boltzmann Method, Nusselt number, incompressible forced convection, rectangular prism

Kaynakça

• M. H. H. Ishak, M. Z. Abdullah and A. Abas, “Lattice Boltzmann method study of effect three dimensional stacking-chip package layout on micro-void formation during encapsulation process”, Microelectronics Reliability, vol. 65, pp. 205-216, 2016.
• A. A. Mohammad, “Applied Lattice Boltzmann Method”, SURE Print, Dalbrent, Canada, 2007
• A. A. Mohammad, “Lattice Boltzmann Method – Fundamentals and Engineering Applications with Computer Codes”, Springer, London, 2011. ISBN: 978-0-85729-455-5.
• S. Succi, “The lattice Boltzmann equation for fluid dynamics and beyond”, Oxford University Press, Oxford, 2001.
• S. Chen and G.D. Doolen, “Lattice Boltzmann method for fluid flows”, Annual Review of Fluid Mechanics, vol. 30, pp. 329–364, 1998.
• M. Sukop and T. T. Daniel Jr, “Lattice Boltzmann Modelling – An Introduction for Geoscientists and Engineers”, Springer, Berlin, 2006.
• D. P. Ziegler, “Boundary conditions for the lattice Boltzmann simulations”, Journal of Statistical Physics, vol. 71, no. 5-6, pp. 1171–1177, 1998.
• Y. Liu, X. Guan and C. Xu, “A production limiter study of SST-SAS turbulence model for bluff body flows”, Journal of Wind Engineering & Industrial Aerodynamics, vol. 170, pp. 162–178, 2017.
• D. T. Prosser and M. J. Smith, “Characterization of flow around rectangular bluff bodies at angle of attack”, Physics Letters A, vol. 376, pp. 3204–3207, 2012.
• E. C. Joubert, T. M. Harms and G. Venter, “Computational simulation of the turbulent flow around a surface mounted rectangular prism”, Journal of Wind Engineering and Industrial Aerodynamics, vol. 142, pp. 173–187, 2015.
• F. B. Teixeira, G. Lorenzini, M. R. Errera, L. A. O. Rocha, L. A. Isoldi and E. D. dos Santos, “Constructal Design of triangular arrangements of square bluff bodies under forced convective turbulent flows”, International Journal of Heat and Mass Transfer, vol. 126, pp. 521–535, 2018.
• A. Cimarelli, A. Leonforte, D. Angeli, “Direct numerical simulation of the flow around a rectangular cylinder at a moderately high Reynolds number”, Journal of Wind Engineering & Industrial Aerodynamics, vol. 174, pp. 39–49, 2018.
• F. Kawamura, Y. Seki, K. Iwamoto, H. Kawamura, “DNS of heat transfer in turbulent and transitional channel flow obstructed by rectangular prisms”, International Journal of Heat and Fluid Flow, vol. 28, pp. 1291–1301, 2007.
• D. Rossinelli, M. Bergdorf, G. H. Cottet, P. Koumoutsakos, “GPU accelerated simulations of bluff body flows using vortex particle methods”, Journal of Computational Physics, vol. 229, pp. 3316–3333, 2010.
• Ansys-Fluent 12.0, User’s Guide, Ansys Inc. 2019.
• D. A. Perumal, G. V. S. Kumar, and A. K. Dass, “Numerical Simulation of Viscous Flow over a Square Cylinder Using Lattice Boltzmann Method,” ISRN Mathematical Physics, vol. 2012, Article ID 630801, 16 pages, 2012.
• S. U. Islam, C. Y. Zhou, A. Shah, “Numerical simulation of flow past rectangular cylinders with different aspect ratios using the incompressible lattice Boltzmann method”, Journal of Mechanical Science and Technology, vol. 26 no. 4, pp. 1027-1041, 2012.
• M. A. Moussaoui, A. Mezrhab, H. Naji, and M. E. Ganaoui, “Prediction of heat transfer in a plane channel built-in three heated square obstacles using an MRT lattice Boltzmann method”, Proc. 6th Int. Conf. on Computational Heat and Mass Transfer, Guangzhou, pp. 176–181, 2009.
• P. Bhatnagar, E. Gross, and M. Krook, “A model for collisional processes in gases I: Small amplitude processes in charged and neutral one-component system”, Physical Review, vol. 94, pp. 511–525, 1954.
• X. He and L. S. Luo, “Lattice Boltzmann model for the incompressible Navier–Stokes equation”, Journal of Statistical Physics, vol. 88, pp. 927–944, 1997.
• R.I. Issa, “Solution of the implicitly discretised fluid flow equations by operator splitting”, Journal of Computational Physic vol. 62, pp. 40–65, 1996.
• A. Bejan, Heat Transfer, New York: John Wiley & Sons, 1993.