Heat transfer evaluation on curved boundaries in thermal lattice boltzmann equation method

Journal of Heat Transfer

Volumn 136, Issue 1, 2014, Pages

  Li, Like ^a   Mei, Renwei ^a   Klausner, James F ^a  

^a J Crayton Pruitt Family Department of Biomedical Engineering   (United States)

Author keywords

curved boundary; heat flux; heat transfer; thermal lattice Boltzmann equation

Indexed keywords

CURVED BOUNDARY; DISCRETE BOUNDARIES; EFFECTIVE SURFACE AREA; SEMI-INFINITE SOLIDS; STEADY-STATE NATURAL CONVECTION; THERMAL BOUNDARY CONDITIONS; THERMAL LATTICE BOLTZMANN EQUATION; TRANSIENT HEAT CONDUCTION;

CIRCULAR CYLINDERS; HEAT CONDUCTION; HEAT TRANSFER; LATTICE CONSTANTS; THREE DIMENSIONAL;

HEAT FLUX;

EID: 84887881246     PISSN: 00221481     EISSN: 15288943     Source Type: Journal    
DOI: 10.1115/1.4025046     Document Type: Article

References (57)

1. Faghri, A., and Zhang, Y., 2006, Transport Phenomena in Multiphase Systems, Elsevier, New York.
2. Sullivan, S. P., Sani, F. M., Johns, M. L., and Gladden, L. F., 2005, Simulation of Packed Bed Reactors Using Lattice Boltzmann Methods, Chem. Eng. Sci., 60, pp. 3405-3418. (Pubitemid 40554203)
3. Manjhi, N., Verma, N., Salem, K., and Mewes, D., 2006, Lattice Boltzmann Modelling of Unsteady-State 2D Concentration Profiles in Adsorption Bed, Chem. Eng. Sci., 61, pp. 2510-2521. (Pubitemid 43255106)
4. Verma, N., Salem, K., and Mewes, D., 2007, Simulation of Micro-And Macro-Transport in a Packed Bed of Porous Adsorbents by Lattice Boltzmann Methods, Chem. Eng. Sci., 62, pp. 3685-3698. (Pubitemid 46891456)
5. Verma, N., and Mewes, D., 2008, Simulation of Temperature Fields in a Narrow Tubular Adsorber by Thermal Lattice Boltzmann Methods, Chem. Eng. Sci., 63, pp. 4269-4279.
6. Kao, P. H., Ren, T. F., Yang, R. J., 2007, An Investigation Into Fixed-Bed Microreactors Using Lattice Boltzmann Method Simulations, Int. J. Heat Mass Transfer, 50, pp. 4243-4255.
7. Garimella, S. V., and Sobhan, C. B., 2003, Transport in Microchannels-A Critical Review, Annu. Rev. Heat Transfer, 13, pp. 1-50.
8. Kang, Q., Lichtner, P. C., and Zhang, D., 2006, Lattice Boltzmann Pore-Scale Model for Multicomponent Reactive Transport in Porous Media, J. Geophys. Res., 111, p. B05203.
9. Kang, Q., Lichtner, P. C., and Zhang, D., 2007, An Improved Lattice Boltzmann Model for Multicomponent Reactive Transport in Porous Media at the Pore Scale, Water Resour. Res., 43, p. W12S14.
10. Wang, M., Wang, J., Pan, N., and Chen, S., 2007, Mesoscopic Predictions of the Effective Thermal Conductivity for Microscale Random Porous Media, Phys. Rev. E, 75, p. 036702.
11. Chen, L., Kang, Q., He, Y. L., and Tao, W. Q. 2012, Pore-Scale Simulation of Coupled Multiple Physicochemical Thermal Processes in Micro Reactor for Hydrogen Production Using Lattice Boltzmann Method, Int. J. Hydrogen Energy, 37, pp. 13943-13957.
12. Maier, R. S., and Bernard, R. S., 2010, Lattice-Boltzmann Accuracy in Pore-Scale Flow Simulation, J. Comput. Phys., 229, pp. 233-255.
13. Chen, S., and Doolen, G. D., 1998, Lattice Boltzmann Method for Fluid Flows, Annu. Rev. Fluid Mech., 30, pp. 329-364.
14. Succi, S., 2001, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, Oxford University Press, New York.
15. Yu, D., Mei, R., Luo, L.-S., and Shyy, W., 2003, Viscous Flow Computations With the Method of Lattice Boltzmann Equation, Prog. Aerosp. Sci., 39, pp. 329-367.
16. Zheng, H. W., Shu, C., and Chew, Y. T., 2006, A lattice Boltzmann Model for Multiphase Flows With Large Density Ratio, J. Comput. Phys., 218, pp. 353-371. (Pubitemid 44364193)
17. Premnath, K. N., and Abraham, J., 2007, Three-Dimensional Multi-Relaxation-Time (MRT) Lattice-Boltzmann Models for Multiphase Flow, J. Comput. Phys., 224, pp. 539-559.
18. Luo, L.-S., and Girimaji, S. S., 2003, Theory of the Lattice Boltzmann Method: Two-Fluid Model for Binary Mixtures, Phys. Rev. E, 67, p. 036302.
19. Asinari, P., 2008, Asymptotic Analysis of Multiple-Relaxation-Time Lattice Boltzmann Schemes for Mixture Modeling, Comput. Math. Appl., 55, pp. 1392-1407. (Pubitemid 351273555)
20. Aidun, C. K., and Clausen, J. R., 2010, Lattice-Boltzmann Method for Complex Flows, Annu. Rev. Fluid Mech., 42, pp. 439-472.
21. Latt, J., Chopard, B., Succi, S., and Toschi, F., 2006, Numerical Analysis of the Averaged Flow Field in a Turbulent Lattice Boltzmann Simulation, Physica A, 362, pp. 6-10. (Pubitemid 43189982)
22. Yu, H., Luo, L.-S., and Girimaji, S. S., 2006, LES of Turbulent Square Jet Flow Using an MRT Lattice Boltzmann Model, Comput. Fluids, 35, pp. 957-965.
23. Guo, Z., Zhao, T. S., and Shi, Y., 2006, Physical Symmetry, Spatial Accuracy, and Relaxation Time of the Lattice Boltzmann Equation for Microgas Flows, J. Appl. Phys., 99, p. 074903.
24. Guo, Z., and Zhao, T. S., 2002, Lattice Boltzmann Model for Incompressible Flows Through Porous Media, Phys. Rev. E, 66, p. 036304.
25. Pan, C., Luo, L.-S., and Miller, C. T., 2006, An Evaluation of Lattice Boltzmann Schemes for Porous Medium Flow Simulation, Comput. Fluids, 35, pp. 898-909.
26. Alexander, F. J., Chen, S., and Sterling, J. D., 1993, Lattice Boltzmann Thermohydrodynamics, Phys. Rev. E, 47, pp. R2249-R2252.
27. Shan, X., 1997, Solution of Rayleigh-Benard Convection Using a Lattice Boltzmann Method, Phys. Rev. E, 55, pp. 2780-2788. (Pubitemid 127607657)
28. Chen, Y., Ohashi, H., and Akiyama, M., 1994, Thermal Lattice Bhatnagar-Gross-Krook Model Without Nonlinear Deviations in Macrodynamic Equations, Phys. Rev. E, 50, pp. 2776-2783.
29. Lallemand, P., and Luo, L.-S., 2003, Theory of the Lattice Boltzmann Method: Acoustic and Thermal Properties in Two and Three Dimensions, Phys. Rev. E, 68, p. 036706.
30. He, X., Chen, S., and Doolen, G. D., 1998, A Novel Thermal Model for the Lattice Boltzmann Method in Incompressible Limit, J. Comput. Phys., 146, pp. 282-300. (Pubitemid 128347125)
31. Guo, Z., Zheng, C., and Shi, B., 2007, Thermal Lattice Boltzmann Equation for Low Mach Number Flows: Decoupling Model, Phys. Rev. E, 75, p. 036704.
32. Shi, B., and Guo, Z., 2009, Lattice Boltzmann Model for Nonlinear Convection-Diffusion Equations, Phys. Rev. E, 79, p. 016701.
33. Mezrhab, A., Moussaoui, M. A., Jami, M., Naji, H., and Bouzidi, M., 2010, Double MRT Thermal Lattice Boltzmann Method for Simulating Convective Flows, Phys. Lett. A, 374, pp. 3499-3507.
34. Yoshida, H., and Nagaoka, M., 2010, Multiple-Relaxation-Time Lattice Boltzmann Model for the Convection and Anisotropic Diffusion Equation, J. Comput. Phys., 229, pp. 7774-7795.
35. Ginzburg, I., 2013, Multiple Anisotropic Collisions for Advection-Diffusion Lattice Boltzmann Schemes, Adv. Water Resour., 51, pp. 381-404.
36. Soe, M., Vahala, G., Pavlo, P., Vahala, L., and Chen, H., 1998, Thermal Lattice Boltzmann Simulations of Variable Prandtl Number Turbulent Flows, Phys. Rev. E, 57, pp. 4227-4237. (Pubitemid 128595863)
37. Vahala, L., Wah, D., Vahala, G., Carter, J., and Pavlo, P., 2000, Thermal Lattice Boltzmann Simulation for Multispecies Fluid Equilibration, Phys. Rev. E, 62, pp. 507-516.
38. Rong, F., Guo, Z., Chai, Z., and Shi, B., 2010, A Lattice Boltzmann Model for Axisymmetric Thermal Flows Through Porous Media, Int. J. Heat Mass Transfer, 53, pp. 5519-5527.
39. Zhao, C. Y., Dai, L. N., Tang, G. H., Qu, Z. G., and Li, Z. Y., 2010, Numerical Study of Natural Convection in Porous Media (Metals) Using Lattice Boltzmann Method (LBM), Int. J. Heat Fluid Flow, 31, pp. 925-934.
40. dHumières, D., and Lallemand, P., 1987, Numerical Simulations of Hydrodynamics With Lattice Gas Automata in Two Dimensions, Complex Syst., 1, pp. 599-632.
41. Cornubert, R., dHumières, D., and Levermore, D., 1991, A Knudsen Layer Theory for Lattice Gases, Physica D, 4, pp. 241-259.
42. Ziegler, D. P., 1993, Boundary Conditions for Lattice Boltzmann Simulations, J. Stat. Phys., 71, pp. 1171-1177.
43. Li, L., Mei, R., and Klausner, J. F., 2013, Boundary Conditions for Thermal Lattice Boltzmann Equation Method, J. Comput. Phys., 237, pp. 366-395.
44. Ladd, A. J. C., 1994, Numerical Simulations of Particulate Suspensions via a Discretized Boltzmann Equation. Part 2. Numerical Results, J. Fluid Mech., 271, pp. 311-339.
45. Behrend, O., 1995, Solid-Fluid Boundaries in Particle Suspension Simulations via the Lattice Boltzmann Method, Phys. Rev. E, 52, 1164-1175.
46. Mei, R., Yu, D., Shyy, W., and Luo, L.-S., 2002, Force Evaluation in the Lattice Boltzmann Method Involving Curved Geometry, Phys. Rev. E, 65, p. 041203.
47. Yin, X., Le, G., and Zhang, J., 2012, Mass and Momentum Transfer Across Solid-Fluid Boundaries in the Lattice-Boltzmann Method, Phys. Rev. E, 86, p. 026701.
48. He, X., and Doolen, G., 1997, Lattice Boltzmann Method on Curvilinear Coordinates System: Flow Around a Circular Cylinder, J. Comput. Phys., 134, pp. 306-315. (Pubitemid 127170405)
49. Filippova, O., and Hanel, D., 1998, Grid Refinement for Lattice-BGK Models, J. Comput. Phys., 147, pp. 219-228. (Pubitemid 128344818)
50. Hahn, D. W., and Ozisik, M. N., 2012, Heat Conduction, John Wiley & Sons, New York.
51. Shu, C., and Zhu, Y. D., 2002, Efficient Computation of Natural Convection in a Concentric Annulus Between an Outer Square Cylinder and an Inner Circular Cylinder, Int. J. Numer. Methods Fluids, 38, pp. 429-445. (Pubitemid 34137745)
52. Peng, Y., Chew, Y. T., and Shu, C., 2003, Simplified Thermal Lattice Boltzmann Model for Incompressible Thermal Flows, Phys. Rev. E 67, p. 026701.
53. Kim, B. S., Lee, D. S., Ha, M. Y., and Yoon, H. S., 2008, A Numerical Study of Natural Convection in a Square Enclosure With a Circular Cylinder at Different Vertical Locations, Int. J. Heat Mass Transfer, 51, pp. 1888-1906. (Pubitemid 351308016)
54. Jeong, H. K., Yoon, H. S., Ha, M. Y., and Tsutahara, M., 2010, An Immersed Boundary-Thermal Lattice Boltzmann Method Using an Equilibrium Internal Energy Density Approach for the Simulation of Flows With Heat Transfer, J. Comput. Phys., 229, pp. 2526-2543.
55. Moukalled, F., and Acharya, S., 1996, Natural Convection in the Annulus Between Concentric Horizontal Circular and Square Cylinders, J. Thermophys. Heat Transfer, 10, pp. 524-531. (Pubitemid 126669660)
56. Lallemand, P., and Luo, L.-S., 2000, Theory of the Lattice Boltzmann Method: Dispersion, Dissipation, Isotropy, Galilean Invariance, and Stability, Phys. Rev. E, 61, pp. 6546-6562.
57. Mei, R., Luo, L.-S., and Shyy, W., 1999, An Accurate Curved Boundary Treatment in the Lattice Boltzmann Method, J. Comput. Phys., 155, pp. 307-330.