Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30135
Conduction Accompanied With Transient Radiative Heat Transfer Using Finite Volume Method

Authors: A. Ashok, K.Satapathy, B. Prerana Nashine

Abstract:

The objective of this research work is to investigate for one dimensional transient radiative transfer equations with conduction using finite volume method. Within the infrastructure of finite-volume, we obtain the conservative discretization of the terms in order to preserve the overall conservative property of finitevolume schemes. Coupling of conductive and radiative equation resulting in fluxes is governed by the magnitude of emissivity, extinction coefficient, and temperature of the medium as well as geometry of the problem. The problem under consideration has been solved, for a slab dominating radiation coupled with transient conduction based on finite volume method. The boundary conditions are also chosen so as to give a good model of the discretized form of radiation transfer equation. The important feature of the present method is flexibility in specifying the control angles in the FVM, while keeping the simplicity in the solution procedure. Effects of various model parameters are examined on the distributions of temperature, radiative and conductive heat fluxes and incident radiation energy etc. The finite volume method is considered to effectively evaluate the propagation of radiation intensity through a participating medium.

Keywords: Radiative transfer equation, finite volume method, conduction, transient radiation.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1123544

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1056

References:


[1] M.F. Modest.,“ Radiative equilibrium in a rectangular enclosure bounded by gray walls”, JQSRT, Vol. 15,1975, pp. 445-461
[2] M.M. Raszaque, D.E. Klein and J.R. Howell, “Finite element solution of radiative heat transfer in a two-dimensional rectangular enclosure with gray particrpating media”, Journal of Heat Transfer, Vol. 105,1983, pp. 933-936
[3] W.A. Fiveland , “Discrete-ordinates solutions of the radrative transport equation for rectangular enclosures”, Journal of Heat Transfer, Vol. 106, 1984, pp. 699-706
[4] L.H. Liu, “Least-squares finite element method for radiative heat transfer ingraded index medium”, J. Quant. Spectrosc. Radiative Transfer,Vol.103, 2007,pp.536–544
[5] J.N. Reddy, D.K. Gartling, “The Finite Element Method in Heat Transfer and Fluid Dynamics”, second ed., CRC Press, Boca Raton, FL, 2001
[6] V. Pareek, S. Chong , M. Tade, A.A. Adesina, “Light intensity distribution in heterogenous photocatalytic reactors”, Asia-Pacific, Journal of Chemical Engineering, Vol. 3 (2),2008,pp.171–201
[7] J.E.Duran , F. Taghipour, M. Mohseni, “Irradiance modeling in annular photoreactors using the finite-volume method”, Journal of Photochemistry and Photobiology A: Chemistry,Vol. 215 (1),2010,pp.81–89
[8] S.Elyasi, F. Taghipour, “Simulation of UV photoreactor for degradation of chemical contaminants: model development and evaluation” Environmental Science & Technology, Vol.44 (6), 2010, pp.2056–2063.
[9] G.D. Raithby, E.H. Chui E.H.,” A finite-volume method for predicting a radiant heat transfer in enclosures with participating media”, J.Heat Transfer,Vol-112, 1990,pp. 415–423
[10] E.H. Chui ,G.D. Raithby, and P.M.J. Hughes, “Prediction of Radiative Transfer in Cylindrical Enclosures with the Finite Volume Method ”, Journal of Thermo physics and Heat Transfer,Vol.6,No.4,1992, pp.605- 611
[11] E.H. Chui,and G.D. Raithby ,"Computation of Radiant Heat Transfer on a Nonorthogonal Mesh Using the Finite-Volume Method”, NumericalHeatTransfer,Vol.23,1993, pp.269-288
[12] G.D. Raithby , E.H. Chui, “A finite-volume method for predicting a radiant heat transfer in enclosures with participating media”, Journal of Heat Transfer, Vol.112, 1990,pp.415–423
[13] J.C. Chai, S.V. Patankar, “Finite volume method for radiation heat transfer”, Adv. Numer. Heat Transfer, Vol.2, 2000,pp.110–135
[14] W.A. Fiveland, “Three-dimensional radiative e heat-transfer solutions by the discrete-ordinates method”, J. Thermophys. Heat Transfer,Vol.2, 1988,pp.309–316
[15] M.N. Borjini, C. Mbow,M. Daguenet,” Numerical analysis of combined radiation and unsteady natural convection within a horizontal annular space”, Int. J. Numer. Methods Heat Fluid Flow ,Vol.9 ,1999,pp.742– 764
[16] C.Y. Han, S.W. Baek , “The effects of radiation on natural convection in a rectangular enclosure divided by two partitions”, Numer. Heat Transfer Vol. 37A, 2000, pp. 249–270.
[17] J. C. Chai, “One-dimensional transient radiation heat transfer modeling using a finite-volume method,” Numer. Heat Transf., vol-44, pp.187- 208, 2003.