Abstract
The paper shows the semiempirical method of a numerical simulation of the low-Re flows in the packed bed technological apparatus. The proposed method is based on the Navier-Stokes equations modification by the linear momentum sources equations in the packed bed zones. It is found that the simulation error of the proposed method is not more than 6.2% for low-density finite element meshes. The average value of the simulation error is about 3.0% for all shown cases. It was found that the proposed method simulation error almost independents on the mesh density. In the main, the simulation error is determined by the linear momentum sources equations approximation error.
Highlights
Packed bed columns are widely used in the chemical industry
This paper proposes the stable semiempirical CFD simulation method of the low-Re flows in the packed bed equipment
In our work [14] we propose to approximate the experimental dependence of the packed bed hydraulic resistance on the effective velocity by the sequence of the linear equations
Summary
Many technological processes like a sorption, a chemisorption, an ion exchange, catalytic chemical reactions proceed on the contact surfaces of the packed bed particles and the technological gases and liquids flow. There Δp is the pressure drop, Pa; L is the packed bed layer height, m; μ is the liquid viscosity, Pa·s; ξ is the packed bed porosity; dp is the packed bed particle size (diameter), m; ueff is the fluid effective velocity, m/s; ρ is liquid density, kg/m3. In cases of the solid particle’s irregular or complex shape, the packed bed variable porosity and for the other special cases Ergun’s equation may be modified [2, 3, 4, 5, 6, 7].
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