{"paper":{"title":"Nonlinear Multiphysics Modeling of Batch Digester Discharge Dynamics with Rheology-Driven Hydraulic Transport and Drainability Coupling","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A nonlinear model coupling non-Newtonian rheology and drainability enables sliding mode control of batch digester discharge flow.","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Jos\\'e M. Campos-Salazar","submitted_at":"2026-05-13T22:09:38Z","abstract_excerpt":"Batch digester blowdown operations exhibit highly nonlinear hydraulic transport dynamics due to evolving slurry consistency and rheological uncertainty. This work presents a nonlinear dynamic model and a robust Sliding Mode Control (SMC) strategy for discharge-flow regulation in industrial batch digester systems. The proposed framework incorporates non-Newtonian slurry rheology, consistency-dependent hydraulic resistance, drainability effects, channeling phenomena, and nonlinear hydraulic transport behavior."},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"This work presents a nonlinear dynamic model and a robust Sliding Mode Control (SMC) strategy for discharge-flow regulation in industrial batch digester systems. 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