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Original Articles

A simulation model for settling tanks with varying cross-sectional area

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Pages 1270-1281 | Published online: 21 Sep 2017
 

ABSTRACT

A quasi-one-dimensional model of the process of continuous sedimentation in clarifier-thickeners (settlers) with variable cross-sectional area is presented. The partial differential equation (PDE) model extends the settler model advanced by Bürger et al. (Citation2013), which assumes a constant cross section. A reliable numerical method that handles the special features of the nonlinear PDE is presented along with an advantageous time-step condition for continuous and batch sedimentation under the condition of a variable cross-sectional area. Simulations of continuous sedimentation show the effect of change of cross-sectional area in the concentration inside the vessel and in the underflow. Simulations of batch settling in cones illustrate the versatility of the numerical scheme to include a vertex, where the area shrinks to zero.

Additional information

Funding

Raimund Bürger and Julio Careaga are supported by BASAL project CMM, Universidad de Chile and Centro de Investigación en Ingeniería Matemática (CI2MA), Universidad de Concepción. In addition Raimund Bürger is supported by Fondecyt project 1170473; Fondef project ID15I10291, and project CONICYT/FONDAP/15130015.

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