Modeling and Estimation of Thermal Flows Based on Transport and Balance Equations
Heat transfer in counterflow heat exchangers is modeled by using transport and balance equations with the temperatures of cold fluid, hot fluid, and metal pipe as state variables distributed along the entire pipe length. Using such models, boundary value problems can be solved to estimate the temper...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/9621308 |
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| author | Angelo Alessandri Patrizia Bagnerini Roberto Cianci Roberto Revetria |
| author_facet | Angelo Alessandri Patrizia Bagnerini Roberto Cianci Roberto Revetria |
| author_sort | Angelo Alessandri |
| collection | DOAJ |
| description | Heat transfer in counterflow heat exchangers is modeled by using transport and balance equations with the temperatures of cold fluid, hot fluid, and metal pipe as state variables distributed along the entire pipe length. Using such models, boundary value problems can be solved to estimate the temperatures over all the length by means of measurements taken only at the boundaries. Conditions for the stability of the estimation error given by the difference between the temperatures and their estimates are established by using a Lyapunov approach. Toward this end, a method to construct nonlinear Lyapunov functionals is addressed by relying on a polynomial diagonal structure. This stability analysis is extended in case of the presence of bounded modeling uncertainty. The theoretical findings are illustrated with numerical results, which show the effectiveness of the proposed approach. |
| format | Article |
| id | doaj-art-db4fab7ea9f9474a9298a5cd73375eda |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-db4fab7ea9f9474a9298a5cd73375eda2025-02-03T01:26:56ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/96213089621308Modeling and Estimation of Thermal Flows Based on Transport and Balance EquationsAngelo Alessandri0Patrizia Bagnerini1Roberto Cianci2Roberto Revetria3University of Genoa (DIME), Via Opera Pia 15, I-16145 Genoa, ItalyUniversity of Genoa (DIME), Via Opera Pia 15, I-16145 Genoa, ItalyUniversity of Genoa (DIME), Via Opera Pia 15, I-16145 Genoa, ItalyUniversity of Genoa (DIME), Via Opera Pia 15, I-16145 Genoa, ItalyHeat transfer in counterflow heat exchangers is modeled by using transport and balance equations with the temperatures of cold fluid, hot fluid, and metal pipe as state variables distributed along the entire pipe length. Using such models, boundary value problems can be solved to estimate the temperatures over all the length by means of measurements taken only at the boundaries. Conditions for the stability of the estimation error given by the difference between the temperatures and their estimates are established by using a Lyapunov approach. Toward this end, a method to construct nonlinear Lyapunov functionals is addressed by relying on a polynomial diagonal structure. This stability analysis is extended in case of the presence of bounded modeling uncertainty. The theoretical findings are illustrated with numerical results, which show the effectiveness of the proposed approach.http://dx.doi.org/10.1155/2020/9621308 |
| spellingShingle | Angelo Alessandri Patrizia Bagnerini Roberto Cianci Roberto Revetria Modeling and Estimation of Thermal Flows Based on Transport and Balance Equations Advances in Mathematical Physics |
| title | Modeling and Estimation of Thermal Flows Based on Transport and Balance Equations |
| title_full | Modeling and Estimation of Thermal Flows Based on Transport and Balance Equations |
| title_fullStr | Modeling and Estimation of Thermal Flows Based on Transport and Balance Equations |
| title_full_unstemmed | Modeling and Estimation of Thermal Flows Based on Transport and Balance Equations |
| title_short | Modeling and Estimation of Thermal Flows Based on Transport and Balance Equations |
| title_sort | modeling and estimation of thermal flows based on transport and balance equations |
| url | http://dx.doi.org/10.1155/2020/9621308 |
| work_keys_str_mv | AT angeloalessandri modelingandestimationofthermalflowsbasedontransportandbalanceequations AT patriziabagnerini modelingandestimationofthermalflowsbasedontransportandbalanceequations AT robertocianci modelingandestimationofthermalflowsbasedontransportandbalanceequations AT robertorevetria modelingandestimationofthermalflowsbasedontransportandbalanceequations |