Lattice Boltzmann Simulation of Conduction-radiation Heat Transfer in a Planar Medium

Lattice Boltzmann Simulation of Conduction-radiation Heat Transfer in a Planar Medium

Imen Mejri Ahmed Mahmoudi Mohamed Ammar Abbassi Ahmed Omri

UR:Unité de Recherche Matériaux, Energie et Energies Renouvelables (MEER), Faculté des Sciences de, Gafsa, B.P.19, Zarroug, Gafsa, 2112, Tunisia

Page: 
213-218
|
DOI: 
https://doi.org/10.18280/ijht.320131
Received: 
N/A
| |
Accepted: 
N/A
| | Citation

OPEN ACCESS

Abstract: 

In this paper, the 1-D conduction-radiation problem is solved by the lattice Boltzmann method. The effects of various parameters such as the scattering albedo, the conduction-radiation parameter, and the wall emissivity are studied. In order to check on the accuracy of the numerical technique employed for the solution of the considered problem, the present numerical code was validated with the published study. The found results are in good agreement with those published.

1. Introduction
2. Mathematical Formulation
3. Results and Discussion
4. Conclusions
Nomenclature
  References

1. Yuen, W.W., Takara, E.E. Analysis of combined conductive-radiative heat transfer in a two-dimensional rectangular enclosure with a gray medium. (1988). Journal of Heat Transfer, 110 (2), pp. 468-474.

2. Taik Young Kim, Seung Wook. BaekAnalysis of combined conductive and radiative heat transfer in a two-dimensional rectangular enclosure using the discrete ordinates method. (1991). International Journal of Heat and Mass Transfer, 34 (9), pp. 2265-2273.

3. Askri, F., Salah, M.B., Nasrallah, S.B. Numerical prediction of coupled conduction, convection and radiation heat transfer. (2009). International Journal of Heat and Technology, 27 (1), pp. 81-88.

4. Chaabane, R., Askri, F., Nasrallah, S.B. Numerical modelling of boundary conditions for two dimansional conduction heat transfer equation using lattica boltzmann method. (2010). International Journal of Heat and Technology, 28 (2), pp. 53-59.

5. Ebrahimkhah, S., Alizadeh, M., Sh Mazidi, M. Estimation of the unknown boundary heat flux in the inverse heat conduction problems(2010) International Journal of Heat and Technology, 28 (2), pp. 25-33.

6. King, A.J.C., Narayanaswamy, R. Radiative effects on natural convection heat transfer in an enclosure with multiple partitions. (2009). International Journal of Heat and Technology, 27 (2), pp. 3-9.

7. He, X., Chen, S., Doolen, G.D. A Novel Thermal Model for the Lattice Boltzmann Method in Incompressible Limit. (1998). Journal of Computational Physics, 146 (1), pp. 282-300.

8. Wolf-Gladrow, D.A. (2000). Lattice-Gas Cellular Automata Lattice Boltzmann Models: An Introduction.

9. Succi, S. (2001). The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, Oxford.

10. Ho, J.-R., Kuo, C.-P., Jiaung, W.-S., Twu, C.-J. Lattice Boltzmann scheme for hyperbolic heat conduction equation. (2002). Numerical Heat Transfer, Part B: Fundamentals, 41 (6), pp. 591-607.

11. Ho, J.-R., Kuo, C.-P., Jiaung, W.-S. Study of heat transfer in multilayered structure within the framework of dual-phase-lag heat conduction model using lattice Boltzmann method. (2003). International Journal of Heat and Mass Transfer, 46 (1), pp. 55-69.

12. Jiaung, W.-S., Ho, J.-R., Kuo, C.-P. Lattice Boltzmann method for the heat conduction problem with phase change. (2001). Numerical Heat Transfer, Part B: Fundamentals, 39 (2), pp. 167-187.

13. Srinivasan, S., Miller, R.S., Marotta, E.Parallel computation of the Boltzmann transport equation for microscale heat transfer in multilayered thin films. (2004). Numerical Heat Transfer, Part B: Fundamentals, 46 (1), pp. 31-58.

14. Guo, Z., Zhao, T.S. Lattice Boltzmann simulation of natural convection with temperature-dependent viscosity in a porous cavity. (2005). Progress in Computational Fluid Dynamics, 5 (1-2), pp. 110-117.

15. Jami, M., Mezrhab, A., Bouzidi, M., Lallemand, P. Lattice-Boltzmann computation of natural convection in a partitioned enclosure with inclined partitions attached to its hot wall. (2006). Physica A: Statistical Mechanics and its Applications, 368 (2), pp. 481-494.

16. Chatterjee, D., Chakraborty, S.An enthalpy-based lattice Boltzmann model for diffusion dominated solid-liquid phase transformation. (2005). Physics Letters, Section A: General, Atomic and Solid State Physics, 341 (1-4), pp. 320-330.

17. Raj, R., Prasad, A., Parida, P.R., Mishra, S. Analysis of solidification of a semitransparent planar layer using the lattice Boltzmann method and the discrete transfer method. (2006). Numerical Heat Transfer; Part A: Applications, 49 (3), pp. 279-299.

18. Mishra, S.C., Roy, H.K. Solving transient conduction and radiation heat transfer problems using the lattice Boltzmann method and the finite volume method. (2007). Journal of Computational Physics, 223 (1), pp. 89-107.

19. Mondal, B., Mishra, S.C.Application of the lattice Boltzmann method and the discrete ordinates method for solving transient conduction and radiation heat transfer problems. (2007). Numerical Heat Transfer; Part A: Applications, 52 (8), pp. 757-775.

20. Chaabane, R., Askri, F., Nasrallah, S.B. Analysis of two-dimensional transient conduction-radiation problems in an anisotropically scattering participating enclosure using the lattice Boltzmann method and the control volume finite element method. (2011). Computer Physics Communications, 182 (7), pp. 1402-1413.

21. Talukdar, P., Mishra, S.C. Analysis of conduction-radiation problem in absorbing, emitting and anisotropically scattering media using the collapsed dimension method. (2002). International Journal of Heat and Mass Transfer, 45 (10), pp. 2159-2168.

22. Mishra, S.C., Talukdar, P., Trimis, D., Durst, F. Computational efficiency improvements of the radiative transfer problems with or without conduction - a comparison of the collapsed dimension method and the discrete transfer method. (2003). International Journal of Heat and Mass Transfer, 46 (16), pp. 3083-3095.

23. Sutton, W.H. A Short time solution for coupled conduction and radiation in a participating slab geometry. (1986). Journal of Heat Transfer, 108 (2), pp. 465-466.

24. Tsai, J.-H., Lin, J.-D. Transient combined conduction and radiation with anisotropic scattering(1990) Journal of Thermophysics and Heat Transfer, 4 (1), pp. 92-97.