Radiation Adhered with Conduction Heat Transfer Adopting Finite Volume Method

Abstract:

This article considers a radiative transport problem coupled with conduction in the one dimensional slab in the presence of participating media. The finite volume method of computation is presented to discretize the radiative transfer equation over the control volume and by using the error function, conduction term is being computed. In the mathematical derivation the RTE is integrated with respect to control volume and control angles with the freedom in choosing number of angular nodes. The results reveals that the proposed method is a promising alternative to the well-established practices like the discrete ordinates method (DOM), discrete transfer method (DTM), monte-carlo method and many more.

• Periodical: Applied Mechanics and Materials (Volumes 592-594)
• Pages: 1746-1750
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.592-594.1746
• Online since: July 2014
• Authors: Prerana Nashine*, Ashok Kumar Satapathy
• Keywords: Finite Volume Method (FVM), Participating Media, Radiation Coupled with Conduction

References

[1] S.C. Mishra, and M. Prasad, Radiative Heat Transfer in Participating Media—A Review, Sadhana: Proc., Indian Acad. Sci., Vol. 23(2) (1998), p.213–232.

DOI: 10.1007/bf02745682

[2] R. Viskanta, and M.P. Menguc, Radiation Heat Transfer in Combustion Systems, Prog. Energy Combust. Sci., Vol. 13(2) (1987), p.97–160.

[3] R. Viskanta, Computation of Radiative Transfer in Combustion Systems, Int. J. Numer. Methods Heat Fluid Flow, Vol. 18 (2008), p.415–442.

DOI: 10.1108/09615530810853664

[4] K.D. Lathrop , Ray Effects in Discrete Ordinates Equations, Nucl. Sci. Eng., Vol. 32(1968), pp.357-369.

[5] S. Chandrasekhar, Radiative Transfer, (1960) Dover, New York.

[6] B. Davison, Neutron Transport Theory, (1958) Clarendon, Oxford.

[7] S.C. Mishra, M. Prasad, Radiative heat transfer in absorbing-emitting-scattering gray media inside 1-D gray Cartesian enclosure using the collapsed dimension method, Int. J. Heat Mass Transfer 45 (2002), p.697–700.

DOI: 10.1016/s0017-9310(01)00153-3

[8] P. Talukdar, S.C. Mishra, Analysis of conduction–radiation problem in absorbing, emitting and anisotropically scattering media using the collapsed dimension method, Int. J. Heat Mass Transfer 45 (2002), p.2159–2168.

DOI: 10.1016/s0017-9310(01)00305-2

[9] S.C. Mishra, P. Talukdar, D. Trimis, F. Durst, Computational efficiency improvements of the radiative transfer problems with or without conduction– a comparison of the collapsed dimension method and the discrete transfer method, Int. J. Heat Mass Transfer 46 (2003).

DOI: 10.1016/s0017-9310(03)00075-9

[10] S.C. Mishra, A. Lankadasu, K. Beronov, Application of the lattice Boltzmann method for solving the energy equation of a 2-D transient conduction-radiation problem, Int. J. Heat Mass Transfer 48 (2005), p.3648–3659.

DOI: 10.1016/j.ijheatmasstransfer.2004.10.041

[11] S.C. Mishra, N. Kaur, H.K. Roy, The DOM approach to the collapsed dimension method for solving radiative transport problems with participating media, Int. J. Heat Mass Transfer 49 (2006), p.30–41.

DOI: 10.1016/j.ijheatmasstransfer.2005.07.038

[12] J. C. Chai , One-dimensional transient radiation heat transfer modeling using a finite-volume method, Numer. Heat Transf., 44(2003), pp.187-208.

DOI: 10.1080/713836346