LB simulation of heat transfer in flow past a square unit of four isothermal cylinders

Javad Abolfazli Esfahani; Ahmadreza Vasel-Be-Hagh

doi:10.1016/j.crme.2012.03.011

LB simulation of heat transfer in flow past a square unit of four isothermal cylinders

Javad Abolfazli Esfahani ¹ ; Ahmadreza Vasel-Be-Hagh ¹

¹ Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad 91775-1111, Iran

Comptes Rendus. Mécanique, Analytical and innovative solutions for heat transfer problems involving phase change and interfaces, Volume 340 (2012) no. 7, pp. 526-535.

Résumé

The lattice Boltzmann method is applied to simulate heat transfer in flow past a square unit of four circular cylinders which its spacing ratio is fixed at $L / D = 2$ . The cylinders are isothermal and also equal-diameter. The simulation is carried out at a fixed Prandtl number of 0.71, however, the Reynolds number takes three different values; $Re = 80$ , 120 and 200. The D2Q9 model is chosen to simulate fluid flow and the D2Q5 model is employed to simulate heat transfer. It is found that the predictions from the present simulation are excellently in accordance with results obtained from finite element solution of Navier–Stokes and energy equation.

Publié le : 2012-05-15

DOI : 10.1016/j.crme.2012.03.011

Mots-clés : Thermal lattice Boltzmann, Low Reynolds number flow, Convection heat transfer, Flow past cylinders, In-line square configuration

Affiliations des auteurs :

Javad Abolfazli Esfahani ¹ ; Ahmadreza Vasel-Be-Hagh ¹

¹ Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad 91775-1111, Iran

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     author = {Javad Abolfazli Esfahani and Ahmadreza Vasel-Be-Hagh},
     title = {LB simulation of heat transfer in flow past a square unit of four isothermal cylinders},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {526--535},
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     volume = {340},
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     year = {2012},
     doi = {10.1016/j.crme.2012.03.011},
     language = {en},
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Javad Abolfazli Esfahani; Ahmadreza Vasel-Be-Hagh. LB simulation of heat transfer in flow past a square unit of four isothermal cylinders. Comptes Rendus. Mécanique, Analytical and innovative solutions for heat transfer problems involving phase change and interfaces, Volume 340 (2012) no. 7, pp. 526-535. doi : 10.1016/j.crme.2012.03.011. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.03.011/

Bibliographie
Cité par

[1] Y. Li; R. Zhang; R. Shock Prediction of vortex shedding from a circular cylinder using a volumetric lattice-Boltzmann boundary approach, European Physical Journal Special Topics, Volume 171 (2009), pp. 91-97

[2] A. Dupuis; P. Chatelain; P. Koumoutsakos An immersed boundary–lattice-Boltzmann method for the simulation of the flow past an impulsively started cylinder, Journal of Computational Physics, Volume 227 (2008), pp. 4486-4498

[3] Y. Xia; D.T. Lu; Y. Liu; Y.S. Xu Lattice Boltzmann simulation of the cross flow over a cantilevered and longitudinally vibrating circular cylinder, Chinese Physics Letters, Volume 26 (2009), p. 034702 (4 pp.)

[4] S. Ul-Islam; C.Y. Zhou Characteristics of flow past a square cylinder using the lattice Boltzmann method, Information Technology Journal, Volume 8 (2009), pp. 1094-1114

[5] A. Mussa; P. Asinari; L.S. Luo Lattice Boltzmann simulations of 2D laminar flows past two tandem cylinders, Journal of Computational Physics, Volume 228 (2009), pp. 983-999

[6] Y. Xu; Y. Liu; Y. Xia; F. Wu Lattice-Boltzmann simulation of two dimensional flow over two vibrating side-by-side circular cylinders, Physical Review E, Volume 78 (2008), p. 046314 (12 pp.)

[7] H. Nemati; K. Sedighi; M. Farhadi; P.M. Mohammadi; E. Fattahi Numerical simulation of fluid flow of two rotating side-by-side circular cylinders by lattice Boltzmann method, International Journal of Computational Fluid Dynamics, Volume 24 (2010), pp. 83-94

[8] Y. Rao; Y. Ni; C. Liu Flow effect around two square cylinders arranged side by side using lattice Boltzmann method, International Journal of Modern Physics C, Volume 19 (2008), pp. 1683-1694

[9] S.R. Kumar; A. Sharma; A. Agrawal Simulation of flow around a row of square cylinders, Journal of Fluid Mechanics, Volume 606 (2008), pp. 369-397

[10] J.A. Esfahani, A.R. Vasel-Be-Hagh, A lattice Boltzmann simulation of cross-flow around four cylinders in a square arrangement, in: ASME 10th Biennial Conference on Engineering Systems Design and Analysis, 2010, p. 24628 (7 pp.).

[11] C.K. Chen; T.S. Yen; Y.T. Yang Lattice Boltzmann method simulation of a cylinder in the backward-facing step flow with the field synergy principle, International Journal of Thermal Sciences, Volume 45 (2006), pp. 982-989

[12] Y.Q. Zu; Y.Y. Yan; W.P. Shi; L.Q. Ren Numerical method of lattice Boltzmann simulation for flow past a rotating circular cylinder with heat transfer, International Journal of Numerical Methods for Heat & Fluid Flow, Volume 18 (2008), pp. 766-782

[13] Y.Y. Yan; Y.Q. Zu Numerical simulation of heat transfer and fluid flow past a rotating isothermal cylinder – A LBM approach, International Journal of Heat and Mass Transfer, Volume 51 (2008), pp. 2519-2536

[14] T.H. Yen; J.K. Kuo; Y.T. Yang Comparison of heat transfer coefficient in the backward-facing step flow with the LBM and field synergy principle, Journal of the Chinese Society of Mechanical Engineers, Volume 30 (2009), pp. 125-134

[15] L. Djenidi; R.A. Antonia Momentum and heat transport in a three-dimensional transitional wake of a heated square cylinder, Journal of Fluid Mechanics, Volume 640 (2009), pp. 109-129

[16] Y.T. Yang; C.K. Chen; S.C. Chang; S.Y. Sun LBM simulations of channel flow with a cylinder by the field synergy principle, Progress in Computational Fluid Dynamics, Volume 9 (2009)

[17] M. Moussaoui; M. Jami; A. Mezrhab; H. Naji Convective heat transfer over two blocks arbitrary located in a 2D plane channel using a hybrid lattice Boltzmann-finite difference method, Heat Mass Transfer, Volume 45 (2009), pp. 1373-1381

[18] X.Y. Kang; X. Zhu; Q. Liao Simulation of fluid flow and heat transfer around a cylinder by lattice Boltzmann method, Huaxue Gongcheng/Chemical Engineering (China), Volume 30 (2010), pp. 21-24

[19] J. Ghasemi; S.E. Razavi On the finite-volume lattice Boltzmann modeling of thermo-hydrodynamics, Computers and Mathematics with Applications, Volume 60 (2010), pp. 1135-1144

[20] M. Moussaoui; M. Jami; A. Mezrhab; H. Naji MRT-lattice Boltzmann simulation of forced convection in a plane channel with an inclined square cylinder, International Journal of Thermal Sciences, Volume 49 (2010), pp. 131-142

[21] M. Sukop; D. Thorne Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers, Springer-Verlag, Berlin, Heidelberg, 2006

[22] M. Sukop; D. Or Invasion percolation of single component, multiphase fluids with lattice Boltzmann models, Physica B, Volume 338 (2003), pp. 298-303

[23] Z. Guo, C. Zheng, An extrapolation method for boundary conditions in lattice Boltzmann method, Physics of Fluids (2002), . | DOI

[24] Q. Zou; X. He On pressure and velocity boundary conditions for the lattice Boltzmann BGK model, Physics of Fluids, Volume 9 (1997), pp. 1591-1598

[25] E. Buyruk Numerical study of heat transfer characteristics on tandem cylinders, in-line and staggered tube banks in cross flow of air, International Communications in Heat and Mass Transfer, Volume 29 (2002), pp. 355-366

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