Numerical investigation on incompressible fluid flow and heat transfer of porous media using Lattice Boltzmann method
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Fluid flow and heat transfer in porous media are critical in many industrial applications; therefore, insight into problems associated with porous media is important for understanding their characteristics. In this study, the Lattice Boltzmann equation is combined with the Brinkman–Forcheimer equation, which contains a forcing term including porosity, to predict fluid flow and heat transfer in porous media. For a two-dimensional square porous cavity, parameters such as the Reynolds, Darcy, and Rayleigh numbers are considered to analyze fluid flow and heat transfer characteristics. The results show that variations in the Darcy number significantly affect the natural convective flow structure, heat transfer characteristics, and boundary layer thickness. Meanwhile, a high Rayleigh number significantly affects the fluid flow and heat transfer when the Darcy number is relatively small.
Abstract
Fluid flow and heat transfer in porous media are critical in many industrial applications; therefore, insight into problems associated with porous media is important for understanding their characteristics. In this study, the Lattice Boltzmann equation is combined with the Brinkman–Forcheimer equation, which contains a forcing term including porosity, to predict fluid flow and heat transfer in porous media. For a two-dimensional square porous cavity, parameters such as the Reynolds, Darcy, and Rayleigh numbers are considered to analyze fluid flow and heat transfer characteristics. The results show that variations in the Darcy number significantly affect the natural convective flow structure, heat transfer characteristics, and boundary layer thickness. Meanwhile, a high Rayleigh number significantly affects the fluid flow and heat transfer when the Darcy number is relatively small.
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