Pith Number

pith:XY6J7PYN

pith:2026:XY6J7PYNRHHU3RYG3CVOUS6VZQ

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Nonlinear Multiphysics Modeling of Batch Digester Discharge Dynamics with Rheology-Driven Hydraulic Transport and Drainability Coupling

Jos\'e M. Campos-Salazar

A nonlinear model coupling non-Newtonian rheology and drainability enables sliding mode control of batch digester discharge flow.

arxiv:2605.14155 v1 · 2026-05-13 · math-ph · math.MP

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Claims

C1strongest claim

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.

C2weakest assumption

The model assumes that non-Newtonian rheology, consistency-dependent resistance, and drainability can be coupled into a tractable nonlinear dynamic description that remains controllable by sliding mode methods without dominant unmodeled effects.

C3one line summary

A nonlinear multiphysics model and sliding mode control strategy are introduced for regulating discharge flow in batch digesters by coupling rheology, hydraulic transport, and drainability.

References

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[1] Development of a comprehensive nonlinear dynamic model for batch digester blowdown operation incorporating multiphase transport, nonlinear rheology, dynamic drainage behavior, and consistency- depende

[2] Integration of channeling effects and drainability di sturbances into the nonlinear hydraulic transport formulation

[3] Formulation of a robust SMC arch itecture specifically designed for nonlinear discharge-flow regulation under severe rheological uncertainty and transport disturbances

[4] Implementation of numerical regularization and protection mechanisms enabling stable long-time simulation of the strongly nonlinear differential-algebraic process

[5] Evaluation of the proposed controller through transient simulations under severe nonlinear disturbances and evolving transport conditions. The obtained results demonstrate that the proposed nonlinear

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Receipt and verification

First computed	2026-05-17T23:39:11.543729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be3c9fbf0d89cf4dc706d8aaea4bd5cc1893e45320ff142b81725b5f77f2de20

Aliases

arxiv: 2605.14155 · arxiv_version: 2605.14155v1 · doi: 10.48550/arxiv.2605.14155 · pith_short_12: XY6J7PYNRHHU · pith_short_16: XY6J7PYNRHHU3RYG · pith_short_8: XY6J7PYN

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XY6J7PYNRHHU3RYG3CVOUS6VZQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: be3c9fbf0d89cf4dc706d8aaea4bd5cc1893e45320ff142b81725b5f77f2de20

Canonical record JSON

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    "abstract_canon_sha256": "130577ce51c7b2dbf56a2b111c86e3c26343f60fa50967202b59203b8f378536",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-05-13T22:09:38Z",
    "title_canon_sha256": "194bafefe8968ea9e180819cc4ea4a2b0af3cd9ecdf2397c1b000615d24a5e96"
  },
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  "source": {
    "id": "2605.14155",
    "kind": "arxiv",
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}