Mathematical models for the simulation of combined depth and cake filtration processes.
Seiten
2018
Fraunhofer Verlag
978-3-8396-1297-2 (ISBN)
Fraunhofer Verlag
978-3-8396-1297-2 (ISBN)
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This work deals with combined depth and cake filtration. Mathematical models are derived and the solution is analyzed. For a further investigation, model reduction and parameter identification are used. The models are compared to experimental data, which can be reproduced by the models. In particular, it is shown that a nonlinear pressure drop arising in cake filtration can be explained by the model without considering compression of the cake.
In this work, mathematical models for combined depth and cake filtration are developed. Their formulation is either based on a moving or free boundary description. For the free boundary model existence and uniqueness of the solution is shown. To study the influence of the model parameters, two different tools are introduced, namely model reduction and parameter identification. Model reduction is used to study the sensitivity of the parameters and to accelerate the solution procedure. Multiple ways to construct a projection basis are discussed and reviewed. For parameter identification, an optimization framework for the free boundary problem is derived. Therefore a gradient algorithm in combination with an adjoint formulation is used. The models are compared to several experimental data and different mathematical aspects of the problem are tested, too. The results show that it is possible to reproduce the experimental data. It is further shown that a nonlinear pressure drop, often arising in cake filtration, can be explained by the model without considering compression of the cake.
In this work, mathematical models for combined depth and cake filtration are developed. Their formulation is either based on a moving or free boundary description. For the free boundary model existence and uniqueness of the solution is shown. To study the influence of the model parameters, two different tools are introduced, namely model reduction and parameter identification. Model reduction is used to study the sensitivity of the parameters and to accelerate the solution procedure. Multiple ways to construct a projection basis are discussed and reviewed. For parameter identification, an optimization framework for the free boundary problem is derived. Therefore a gradient algorithm in combination with an adjoint formulation is used. The models are compared to several experimental data and different mathematical aspects of the problem are tested, too. The results show that it is possible to reproduce the experimental data. It is further shown that a nonlinear pressure drop, often arising in cake filtration, can be explained by the model without considering compression of the cake.
| Erscheinungsdatum | 29.05.2019 |
|---|---|
| Zusatzinfo | num., mostly col. illus. and tab. |
| Verlagsort | Stuttgart |
| Sprache | englisch |
| Maße | 148 x 210 mm |
| Themenwelt | Mathematik / Informatik ► Informatik |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Schlagworte | chemical engineering • Chemieingenieur • Chemieingenieure • Combined depth and cake filtration • differential calculus & equation • Entwicklungsingenieur • Entwicklungsingenieure • fluid mechanics • Fraunhofer ITWM • Free boundary problem • industrial applications of scientific research & technological innovation • Industrial applications of scientific research and technological innovation • industrial chemistry & chemical engineering • Mathematical Analysis • Mathematical Modeling • Mathematiker • Verfahrensingenieur • Verfahrensingenieure • Verfahrenstechniker |
| ISBN-10 | 3-8396-1297-7 / 3839612977 |
| ISBN-13 | 978-3-8396-1297-2 / 9783839612972 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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