Modeling, approximation, and time optimal temperature control for binder removal from ceramics
Open accessAbstract
The process of binder removal from green ceramic components-a reaction-gas transport problem in porous media-has been analyzed with a number of mathematical techniques: 1) non-dimensionalization of the governing decomposition-reaction ordinary differential equation (ODE) and of the reaction gas-permeability partial differential equation (PDE); 2) development of a pseudo steady state approximation (PSSA) for the PDE, including error analysis via \begin{document}$ L^2 $\end{document} norm and singular perturbation methods; 3) derivation and analysis of a discrete model approximation; and 4) development of a time optimal control strategy to minimize processing time with temperature and pressure constraints. Theoretical analyses indicate the conditions under which the PSSA and discrete models are viable approximations. Numerical results indicate that under a range of conditions corresponding to practical binder burnout conditions, utilization of the optimal temperature protocol leads to shorter cycle times as compared to typical industrial practice.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
The citation lists haven’t been fetched yet
References 26 · Cited by 2
- Authors
- Chicone, C., Lombardo, S. J., & Retzloff, D. G.
- Affiliations
- University of Missouri (US)
- Corresponding author
- Lombardo, Stephen J.
- Venue
- Discrete and Continuous Dynamical Systems - B
- Published
- 2022
- Volume
- 27
- Issue
- 1
- Pages
- 103-140
- ISSN
- 1531-3492 (ISSN-L)
- 1553-524X
- OpenAlex
- W3126849094
- Cited by
- 2
- References
- 26
- Citations by year
- 2026: 1 · 2024: 1
- FWCI
- 0.20
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Locations
- Discrete and Continuous Dynamical Systems - B (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Numerical Analysis › Differential Equations and Numerical Methods
- Physical Sciences › Mathematics › Applied Mathematics › Differential Equations and Boundary Problems
- Physical Sciences › Engineering › Computational Mechanics › Heat and Mass Transfer in Porous Media
- Keywords
- debinding, green ceramics, porous media, quasi-steady-state approximation, singular perturbation, error analysis, time-optimal control, temperature control, pressure constraints, binder burnout, cycle time reduction
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
