Investigation of transient conduction–radiation heat transfer in a square cavity using combination of LBM and FVM

Keshtkar, Mohammad Mehdi; Talebizadehsardari, Pouyan

Abstract

In this paper, the effect of surface radiation in a square cavity containing an absorbing, emitting and scattering medium with four heated boundaries is investigated, numerically. Lattice Boltzmann method (LBM) is used to solve the energy equation of a transient conduction–radiation heat transfer problem and the radiative heat transfer equation is solved using finite-volume method (FVM). In this work, two different heat flux boundary conditions are considered for the east wall: a uniform and a sinusoidally varying heat flux profile. The results show that as the value of conduction–radiation decreases, the dimensionless temperature in the medium increases. Also, it is clarified that, for an arbitrary value of the conduction–radiation parameter, the temperature decreases with decreasing scattering albedo. It is observed that when the boundaries reflect more, a higher temperature is achieved in the medium and on boundaries.

Citation

Keshtkar, M. M., & Talebizadehsardari, P. (2018). Investigation of transient conduction–radiation heat transfer in a square cavity using combination of LBM and FVM. Sadhana, 43(4), Article 64. https://doi.org/10.1007/s12046-018-0854-6

• Journal Article Type: Article
• Acceptance Date: Nov 10, 2017
• Online Publication Date: Apr 17, 2018
• Publication Date: Apr 17, 2018
• Deposit Date: Dec 18, 2018
• Publicly Available Date: Dec 19, 2018
• Journal: S?dhan?
• Print ISSN: 0256-2499
• Electronic ISSN: 0973-7677
• Publisher: Indian Academy of Sciences
• Peer Reviewed: Peer Reviewed
• Volume: 43
• Issue: 4
• Article Number: 64
• DOI: https://doi.org/10.1007/s12046-018-0854-6
• Keywords: Conduction–radiation heat transfer; transient, surface radiation; lattice Boltzmann method; finite volume method; sinusoidal heating boundary.
• Public URL: https://nottingham-repository.worktribe.com/output/1422584
• Publisher URL: https://link.springer.com/article/10.1007%2Fs12046-018-0854-6