Characteristics of the Vortical Structure in a Square Cavity with a Central Obstacle at Different Reynolds Numbers
American Journal of Aerospace Engineering
Volume 5, Issue 1, June 2018, Pages: 39-46
Received: Feb. 1, 2018; Accepted: Feb. 16, 2018; Published: Mar. 15, 2018
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Mohammed Ahmed Boraey, Mechanical Power Engineering Department, Faculty of Engineering, Zagazig University, Zagazig, Egypt; Mechanical Engineering Department, School of Engineering, Nile University, Giza, Egypt
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Many researchers investigated different ways of improving the mixing inside a square lid-driven cavity by proper modification of the cavity geometric configuration. The present paper investigates the characteristics of the vertical structure inside a lid-driven square cavity with a central obstacle at different Reynolds numbers. The Multiple-Relaxation-Time Lattice Boltzmann Method (MRTLBM) is used to model the flow at Reynolds numbers between 100 and 1000. The results show that the position and shape of the main cavity is highly sensitive to the flow Reynolds number while the two lower side vortices are not affected by the change of the Reynolds number or the presence of the obstacle compared to the standard lid-driven cavity case. The reported results were verified against the standard lid-driven cavity case and showed good agreement. The results also show that adding a central obstacle to the standard cavity configuration can dramatically enhance its mixing capability. The reported results have significant importance for the enhancement of the mixing mechanisms inside the cavity for heat and mass transfer applications.
Square Cavity, Vortical Structure, Central Obstacle, Multiple-Relaxation-Time Lattice Boltzmann Method
To cite this article
Mohammed Ahmed Boraey, Characteristics of the Vortical Structure in a Square Cavity with a Central Obstacle at Different Reynolds Numbers, American Journal of Aerospace Engineering. Vol. 5, No. 1, 2018, pp. 39-46. doi: 10.11648/j.ajae.20180501.16
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Botella, O. and R. Peyret, Benchmark spectral results on the lid-driven cavity flow. Computers & Fluids,1998.27(4): p.421-433.
Schreiber, R. and H.B. Keller, Driven cavity flows by efficient numerical techniques. Journal of Computational Physics, 1983.49(2): p.310-333.
Mahmood, R., et al., Numerical Simulations of the Square Lid Driven Cavity Flow of Bingham Fluids Using Nonconforming Finite Elements Coupled with a Direct Solver. Advances in Mathematical Physics, 2017.
Hou, S.,et al., Simulation of Cavity Flow by the Lattice Boltzmann Method. Journal of Computational Physics, 1995.118(2): p.329-347.
Abu-Nada, E. and A.J. Chamkha, Mixed convection flow of a nano fluid in a lid-driven cavity with a wavy wall. International Communications in Heat and Mass Transfer, 2014.57: p.36-47.
Sheikholeslami, M. and A.J. Chamkha, Flow and convective heat transfer of a ferro-nano fluid in a double-sided lid-driven cavity with a wavy wall in the presence of a variable magnetic field. Numerical Heat Transfer, PartA: Applications, 2016.69(10): p.1186-1200.
Tuerke,F., et al., Experimental study of double-cavity flow. Experiments in Fluids, 2017. 58(7): p.76.
Sheikholeslami, M. andH.B. Rokni, Melting heat transfer influence on nano fluid flow inside a cavity in existence of magnetic field.I nternational Journal of Heat and Mass Transfer, 2017. 114: p.517-526.
Tang,W.,et al., Natural convection heat transfer in a nano fluid-filled cavity with double sinusoidal wavy walls of various phase deviations. International Journal of Heat and Mass Transfer, 2017. 115: p.430-440.
Hassanli, S.,et al., Utilizing cavity flow within double skin façade for wind energy harvesting in buildings. Journal of Wind Engineering and Industrial Aerodynamics, 2017. 167: p.114-127.
Hussain, S.,et al., Effects of inclination angle on mixed convective nano fluid flow in a double lid-driven cavity with discrete heat sources. International Journal of Heat and Mass Transfer, 2017. 106: p.847-860.
Boraey, M.A., Assessment of the Accuracy o fthe Multiple-Relaxation-Time Lattice Boltzmann Method for the Simulation of Circulating Flows. Mathematical Modelling and Applications, 2017. 2(5): p.45-71.
Gibanov, N.S.,et al.,Convective heat transfer in a lid-driven cavity with a heat-conducting solid backward step under the effect of buoyancy force. International Journal of Heat and Mass Transfer, 2017. 112: p.158-168.
Gibanov, N.S.,et al., Effect of uniform inclined magnetic field on mixed convection in a lid-driven cavity having a horizontal porous layer saturated with a ferro fluid. International Journal of Heat and Mass Transfer, 2017. 114: p.1086-1097.
Rahmati, A.R., A.Rayat Roknabadi, and M. Abbaszadeh, Numerical simulation of mixed convection heat transfer of nano fluid in a double lid-driven cavity using lattice Boltzmann method. Alexandria Engineering Journal, 2016. 55(4): p.3101-3114.
Bhatnagar, P.L.,E.P. Gross,and M. Krook, A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Physical review, 1954. 94(3): p.511.
Vanka, S.P., Block-implicit multigrid solution of Navier-Stokes equations in primitive variables. Journal of Computational Physics, 1986. 65(1): p.138-158.
Ghia, U.,K.N. Ghia, and C.T. Shin, High-Resolutions for incompressible flow using the Navier-Stokes equations and a multigrid method. Journal of Computational Physics, 1982. 48(3): p.387-411.
Gupta, M.M.and J.C. Kalita, A new paradigm for solving Navier–Stokes equations: stream function–velocity formulation. Journal of Computational Physics, 2005. 207(1): p.52-68.
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