Effect of porous screen on flow stabilization and heat transfer in a channel using variable porosity model by the lattice Boltzmann method

Boltzmann method. The flow in the porous screen was simulated by the Brinkman-Forchheimer model. Numerical solutions were obtained for variable porosity models, and the effect of the Darcy number and porosity were studied in detail. Results showed that the stabilization of the flow field and heat transfer were dependent on the Darcy number. Distribution of the stream field became more stable when the Darcy number decreased. Moreover, the temperature distribution was more homogeneous at lower Darcy numbers and porosity values. Results showed that the effect of variable porosity was significant in the neighborhood of the solid boundary. In addition, dissimilarity between constant and variable porosity models was decreased by Darcy number reduction