Convective heat transfer over two blocks arbitrary located in a 2D plane channel using a hybrid lattice Boltzmann-finite difference method

Heat and Mass Transfer/Waerme- und Stoffuebertragung

Volumn 45, Issue 11, 2009, Pages 1373-1381

  Moussaoui, Mohammed Amine ^a   Jami, Mohammed ^a   Mezrhab, Ahmed ^a   Naji, Hassan ^b  

^a FACULTÉ DES SCIENCES   (Morocco)

^b UNIV LILLE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

A-PLANE; ARBITRARY POSITIONS; BOTTOM WALL; COMPLEX FLOW; CONVECTIVE HEAT TRANSFER; DISTRIBUTION PATTERNS; HYBRID LATTICE; LAMINAR FLUID FLOW; LATTICE BOLTZMANN EQUATIONS; LOCAL NUSSELT NUMBER; MULTIPLE-RELAXATION TIME; NUMERICAL INVESTIGATIONS; NUMERICAL MODELS; PLANE CHANNELS; TIME-AVERAGED; VERTICAL SEPARATION;

BOLTZMANN EQUATION; DROP FORMATION; FLOW PATTERNS; HEAT CONVECTION; HEAT EXCHANGERS; INCOMPRESSIBLE FLOW; NUSSELT NUMBER;

FINITE DIFFERENCE METHOD;

EID: 70350545663     PISSN: 09477411     EISSN: 14321181     Source Type: Journal    
DOI: 10.1007/s00231-009-0514-9     Document Type: Article

References (34)

1. M Hayashi A Sakurai 1986 Wake interference of a row of normal flat plates arranged side by side in a uniform flow J Fluid Mech 164 1 25 10.1017/S0022112086002446
2. S Nakagawa M Senda A Hiraide S Kikkawa 1999 S Heat transfer characteristics in a channel flow with a rectangular cylinder JSME Int J Ser B 42 188 196
3. Bosch G (1995) Experimentelle and theoretische Untersuchung der instationaren Stromung um zylindrische Strukturen. Ph. D. Dissertation, Universität Fridericiana zu Karlsruhe, Germany
4. A Valencia 1999 Heat transfer enhancement due to self-sustained oscillating transverse vortices in channels with periodically mounted rectangular bars Int J Heat Mass Transf 42 2053 2062 0977.76015 10.1016/S0017-9310(98)00295-6 (Pubitemid 29253059)
5. A Agrawal L Djenidi RA Antonia 2006 Investigation of the flow around a pair of side-by-side square cylinders using the lattice Boltzmann method Comput Fluids 35 1093 1107 10.1016/j.compfluid.2005.05.008 (Pubitemid 44283539)
6. Y Xu Y Liu Y Xia F Wu 2008 Lattice-Boltzmann simulation of two-dimensional flow over two vibrating side-by-side circular cylinders Phys Rev E 78 046314 10.1103/PhysRevE.78.046314
7. RK Tatsutani R Devarakonda JAC Humphrey 1993 Unsteady flow and heat transfer for cylinder pairs in a channel Int J Heat Mass Transf 36 3311 3328 10.1016/0017-9310(93)90013-V (Pubitemid 23711536)
8. JL Rosales A Ortega JAC Humphrey 2001 A numerical simulation of the convective heat transfer in confined channel flow past square cylinders: comparison of inline and offset tandem pairs Int J Heat Mass Transf 44 587 603 0990.76053 10.1016/S0017-9310(00)00113-7
9. S Bhattacharyya S Dhinakran 2008 Vortex shedding in shear flow past tandem square cylinders in the vicinity of a plane wall J Fluids Struct 24 3 400 417 10.1016/j.jfluidstructs.2007.09.002 (Pubitemid 351598009)
10. P Lallemand LS Luo 2003 Theory of the lattice Boltzmann method: acoustic and thermal properties in two and three dimension Phys Rev E 68 3 036706 10.1103/PhysRevE.68.036706 2037607
11. P Lallemand L-S Luo 2003 Hybrid finite-difference thermal lattice Boltzmann equation Int J Modern Phys B 17 1/2 41 47
12. A Mezrhab M Bouzidi P Lallemand 2004 Hybrid lattice Boltzmann finite-difference simulation of convective flows Comput Fluids 33 623 641 1071.76044 10.1016/j.compfluid.2003.05.001 (Pubitemid 37365576)
13. Succi S (2001) The lattice Boltzmann equation: for fluid dynamics and beyond. Oxford University Press, Series Numerical Mathematics and Scientific Computation. Oxford, New York
14. I Ginzburg F Verhaeghe D d'Humières 2008 Two-relaxation-time lattice Boltzmann scheme: about parametrization, velocity, pressure and mixed boundary conditions Commun Comput Phys 3 2 427 478 2389807
15. I Ginzburg F Verhaeghe D d'Humières 2008 Study of simple hydrodynamic solutions with the two-relaxation-times lattice Boltzmann scheme Commun Comput Phys 3 3 519 581 2401077
16. T Inamuro T Ogata S Tajima N Konishi 2004 A lattice Boltzmann method for incompressible two-phase flows with large density differences J Comput Phys 198 628 644 1116.76415 10.1016/j.jcp.2004.01.019 (Pubitemid 38999055)
17. E Semma M El Ganaoui R Bennacer AA Mohamad 2008 Investigation of flows in solidification by using the lattice Boltzmann method Int J Therm Sci 47 3 201 208 10.1016/j.ijthermalsci.2007.02.010 (Pubitemid 350300028)
18. B Mondal SC Mishra 2007 Application of the lattice Boltzmann method and the discrete ordinates method for solving transient conduction and radiation heat transfer problems Numer Heat Transf Part A Appl 52 8 757 775 10.1080/10407780701347663 (Pubitemid 350021233)
19. M Sukop HB Huang CL Lin MD Deo K Oh JD Miller 2008 Distribution of multiphase fluids in porous media: comparison between lattice Boltzmann modeling and micro-X-ray tomography Phys Rev E 77 026710 10.1103/PhysRevE.77.026710
20. S Marié D Ricot P Sagaut 2009 Comparison between lattice Boltzmann method and Navier-Stokes high order schemes for computational aeroacoustics J Comput Phys 228 4 1056 1070 05526718 10.1016/j.jcp.2008.10.021 2489943
21. Mohamad AA, El-Ganaoui M, Bennacer R (2009) Lattice Boltzmann simulation of natural convection in an open ended cavity. Int J Therm Sci, Corrected Proof, available online 14 March 2009 (in press)
22. A Niavarani-Kheiri M Darbandi GE Schneider 2004 Parallelization of the lattice Boltzmann model in simulating buoyancy-driven convection heat transfer ASME Int Mech Eng Congress and Exposition, IMECE 61871 305 312
23. PV Leemput C Vandekerckhove W Vanroose D Roose 2007 Accuracy of hybrid lattice Boltzmann/finite difference schemes for reaction-diffusion systems Multiscale Model Simul 6 3 838 857 1151.76559 10.1137/060675113 2368969
24. CV Treeck E Rank M Krafczyk J Tolke B Nachtwey 2006 Extension of a hybrid thermal LBE scheme for large-eddy simulations of turbulent convective flows Comput Fluids 35 863 871 10.1016/j.compfluid.2005.03.006 (Pubitemid 43758531)
25. Z Guo H Liu LS Luo K Xu 2008 A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows J Comput Phys 227 4955 4976 05276057 10.1016/j.jcp.2008.01.024 2414843
26. M Bouzidi M Firdaouss P Lallemand 2001 Momentum transfer of Boltzmann-lattice fluid with boundaries Phys Fluids 13 3452 3459 10.1063/1.1399290 (Pubitemid 33066941)
27. M Jami A Mezrhab M Bouzidi P Lallemand 2006 Lattice-Boltzmann computation of natural convection in a partitioned enclosure with inclined partitions attached to its hot wall Phys A 368 2 481 494 10.1016/j.physa.2005.12.029 (Pubitemid 43831489)
28. A Mezrhab MA Moussaoui H Naji 2008 Lattice Boltzmann simulation of surface radiation and natural convection in a square cavity with an inner cylinder J Phys D Appl Phys 41 551 5517
29. S Chen G Doolen 1998 Lattice Boltzmann method for fluid flows Annu Rev Fluid Mech 30 329 364 10.1146/annurev.fluid.30.1.329 1609606
30. S Succi I Karlin H Chen 2002 Role of the H theorem in lattice Boltzmann hydrodynamic simulations Rev Mod Phys 74 4 1203 1220 10.1103/RevModPhys.74.1203 (Pubitemid 36116700)
31. PL Bhatnagar EP Gross M Krook 1954 A model for collision processes in gases. 1. Small amplitude processes in charged and neutral one-component systems Phys Rev 94 511 525 0055.23609 10.1103/PhysRev.94.511
32. d'Humières D (1992) Generalized lattice Boltzmann equations. In: Shizgal BD, Weaver DP (eds) Rarefied gas dynamics: theory and simulations. Prog Aeronaut Astronaut 159:450-58
33. P Lallemand LS Luo 2000 Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, galilean invariance and stability Phys Rev E 61 6546 6562 10.1103/PhysRevE.61.6546 1789024 (Pubitemid 30895319)
34. S Turki H Abbassi SB Nasrallah 2003 Two-dimensional laminar fluid flow and heat transfer in a channel with a built-in heated square cylinder Int J Therm Sci 42 12 1105 1113 10.1016/S1290-0729(03)00091-7 (Pubitemid 37306167)