Year 2020, Volume 24 , Issue 1, Pages 10 - 18 2020-02-01

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

Mert ÖZSABAN [1] , Erman ASLAN [2] , Hasan Rıza GÜVEN [3]


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.

Lattice Boltzmann Method, Nusselt number, incompressible forced convection, rectangular prism
  • 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.
Primary Language en
Subjects Engineering, Mechanical
Published Date February 2020
Journal Section Research Articles
Authors

Orcid: 0000-0001-6818-6428
Author: Mert ÖZSABAN (Primary Author)
Institution: Recep Tayyip Erdogan University
Country: Turkey


Orcid: 0000-0001-8595-6092
Author: Erman ASLAN
Institution: İSTANBUL ÜNİVERSİTESİ - CERRAHPAŞA

Orcid: 0000-0002-0820-4927
Author: Hasan Rıza GÜVEN
Institution: İSTANBUL ÜNİVERSİTESİ - CERRAHPAŞA

Dates

Application Date : April 9, 2019
Acceptance Date : July 4, 2019
Publication Date : February 1, 2020

Bibtex @research article { saufenbilder551492, journal = {Sakarya University Journal of Science}, issn = {1301-4048}, eissn = {2147-835X}, address = {}, publisher = {Sakarya University}, year = {2020}, volume = {24}, pages = {10 - 18}, doi = {10.16984/saufenbilder.551492}, title = {Numerical Investigation of Incompressible Forced Convection in a Channel with a Rectangular Prism}, key = {cite}, author = {ÖZSABAN, Mert and ASLAN, Erman and GÜVEN, Hasan Rıza} }
APA ÖZSABAN, M , ASLAN, E , GÜVEN, H . (2020). Numerical Investigation of Incompressible Forced Convection in a Channel with a Rectangular Prism. Sakarya University Journal of Science , 24 (1) , 10-18 . DOI: 10.16984/saufenbilder.551492
MLA ÖZSABAN, M , ASLAN, E , GÜVEN, H . "Numerical Investigation of Incompressible Forced Convection in a Channel with a Rectangular Prism". Sakarya University Journal of Science 24 (2020 ): 10-18 <http://www.saujs.sakarya.edu.tr/en/issue/49430/551492>
Chicago ÖZSABAN, M , ASLAN, E , GÜVEN, H . "Numerical Investigation of Incompressible Forced Convection in a Channel with a Rectangular Prism". Sakarya University Journal of Science 24 (2020 ): 10-18
RIS TY - JOUR T1 - Numerical Investigation of Incompressible Forced Convection in a Channel with a Rectangular Prism AU - Mert ÖZSABAN , Erman ASLAN , Hasan Rıza GÜVEN Y1 - 2020 PY - 2020 N1 - doi: 10.16984/saufenbilder.551492 DO - 10.16984/saufenbilder.551492 T2 - Sakarya University Journal of Science JF - Journal JO - JOR SP - 10 EP - 18 VL - 24 IS - 1 SN - 1301-4048-2147-835X M3 - doi: 10.16984/saufenbilder.551492 UR - https://doi.org/10.16984/saufenbilder.551492 Y2 - 2019 ER -
EndNote %0 Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi Numerical Investigation of Incompressible Forced Convection in a Channel with a Rectangular Prism %A Mert ÖZSABAN , Erman ASLAN , Hasan Rıza GÜVEN %T Numerical Investigation of Incompressible Forced Convection in a Channel with a Rectangular Prism %D 2020 %J Sakarya University Journal of Science %P 1301-4048-2147-835X %V 24 %N 1 %R doi: 10.16984/saufenbilder.551492 %U 10.16984/saufenbilder.551492
ISNAD ÖZSABAN, Mert , ASLAN, Erman , GÜVEN, Hasan Rıza . "Numerical Investigation of Incompressible Forced Convection in a Channel with a Rectangular Prism". Sakarya University Journal of Science 24 / 1 (February 2020): 10-18 . https://doi.org/10.16984/saufenbilder.551492
AMA ÖZSABAN M , ASLAN E , GÜVEN H . Numerical Investigation of Incompressible Forced Convection in a Channel with a Rectangular Prism. SAUJS. 2020; 24(1): 10-18.
Vancouver ÖZSABAN M , ASLAN E , GÜVEN H . Numerical Investigation of Incompressible Forced Convection in a Channel with a Rectangular Prism. Sakarya University Journal of Science. 2020; 24(1): 18-10.