Abstract
The mean porosity within a micro-unit should be properly calculated in discrete element simulation of gas-solid fluidization systems. This article presents a three-dimensional porosity model for fine grid calculation. All nine cases of particle-grid overlap are considered in the model. The three-dimensional porosity is analytically expressed, employing a series of volume formulas for pertinent curved top cylinders. The double integrals involved in the volume expressions are numerically calculated according to compound trapezoid formula. The adopted integral scheme and numerical method can be easily realized, which are suitable for complicated three-dimensional fine grid calculation.
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