Taguchi optimization of combined radiation/natural convection of participating medium in a cavity with a horizontal fin using LBM

• Published in: Physica A Vol. 509; pp. 1062 - 1079
• Main Authors: Sobhani, Masoud, Tighchi, Hashem Ahmadi, Esfahani, Javad Abolfazli
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.11.2018
• Subjects: Lattice Boltzmann method; Natural convection; Nusselt number; Taguchi method; Volumetric radiation; Volumetric radiation; Natural convection; Nusselt number; Lattice Boltzmann method; Taguchi method
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2018.06.056

In this paper, the Taguchi method was performed to determine the optimum values of the design parameters of the combined volumetric radiation and natural convection heat transfer in a square cavity with a horizontal fin on the hot wall. The radiative equation, like flow and energy equations, of the physical model containing participating medium, is solved by separate distribution functions in the novel lattice Boltzmann method (LBM). The effects of the five design parameters such as Rayleigh number, extinction coefficient, scattering albedo, fin length and height are investigated. In the Taguchi design method, the total Nusselt number on the cold wall is considered as a performance parameter. The levels of each parameter were set as 3 levels and the L27 orthogonal array was used for optimization. The results of the LBM-Taguchi combined method showed that the optimal condition was achieved at the maximum Rayleigh number, extinction coefficient, fin length and height, and minimum scattering albedo in the range of design factors. However the most important parameter affecting the total Nusselt number was the Rayleigh number, while the fin length and height had a minor effect. •Behavior of the design parameters on volumetric radiation/natural convection heat transfer is assessed.•The cavity with a horizontal fin containing participating fluid performance is optimized by Taguchi method.•The lattice Boltzmann method is used to solve the flow, energy and radiative equations.•Rayleigh number, extinction coefficient and scattering albedo have the most important effect on heat transfer.