Name
Title | ||
|---|---|---|
A Heat Equation For Freezing Processes With Phase Change: Stability Analysis And Applications |
Abstract | ||
|---|---|---|
In this work, the stability properties as well as possible applications of a partial differential equation (PDE) with state-dependent parameters are investigated. Among other things, the PDE describes freezing of foodstuff, and is closely related to the (potential) Burgers' equation. We show that for certain forms of coefficient functions, the PDE converges to a stationary solution given by (fixed) boundary conditions that make physical sense. These boundary conditions are either symmetric or asymmetric of Dirichlet type. Furthermore, we present an observer design based on the PDE model for estimation of inner-domain temperatures in block-frozen fish and for monitoring freezing time. We illustrate the results with numerical simulations. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1080/00207179.2015.1102327 | INTERNATIONAL JOURNAL OF CONTROL |
Keywords | Field | DocType |
freezing process, observer design, Distributed parameter systems, stability analysis | Boundary value problem,Mathematical optimization,Control theory,Phase change,Heat equation,Distributed parameter system,Dirichlet distribution,Observer (quantum physics),Frost (temperature),Partial differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
89 | 4 | 0020-7179 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Christoph Josef Backi | 1 | 1 | 1.83 |
| Jan Dimon Bendtsen | 2 | 46 | 22.56 |
| jorgen o leth | 3 | 0 | 0.34 |
| Jan Tommy Gravdahl | 4 | 327 | 43.60 |