Numerical simulation of duct flow in the presence of participating media radiation with total energy based entropic lattice Boltzmann method

Abstract

Consideration of the effect of participating media radiation becomes essential for industrial systems due to the increasing use of high temperature materials. Participating media radiation is present in these systems with all other modes of heat transfer. The Lattice Boltzmann method is emerging as a powerful technique to handle the heat flow problems involving participating media radiation. This work proposes a specific method for applying the total energy based formulation of the double population entropic Lattice Boltzmann method for flow problems with participating media. All flow variables are calculated by means of an integrated Lattice Boltzmann solver for mass, momentum, energy and radiative energy propagation. The formulation based on the total energy is modified to account for the effects of the participating media. The modification is verified by the Chapman–Enskog procedure. Reference cases are adopted for validation of the model and formulation. Detailed analyses of the physics involving the flow structure and radiation properties as well as the implementation details of the computation procedure are given. The interactions of the flow field with the participating media in duct flow are investigated varying Reynolds number, single scattering albedo and extinction coefficient values.

Keywords

• Total energy formulation
• Participating media radiation
• Duct flow
• Cavity
• Multi-mode heat transfer