Viscosity and effusion rate identification from free surface data
Based on new explicit expressions for sensitivity coefficients, this study proposes a new method to solve two inverse problems in time-dependent three-dimensional gravity-driven thin film flow down an inclined plane governed by free-surface lubrication approximation. The flow is developed by time-de...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-08-01
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| Series: | International Journal of Thermofluids |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666202722000489 |
| _version_ | 1818513414764363776 |
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| author | Farzad Mohebbi Mathieu Sellier |
| author_facet | Farzad Mohebbi Mathieu Sellier |
| author_sort | Farzad Mohebbi |
| collection | DOAJ |
| description | Based on new explicit expressions for sensitivity coefficients, this study proposes a new method to solve two inverse problems in time-dependent three-dimensional gravity-driven thin film flow down an inclined plane governed by free-surface lubrication approximation. The flow is developed by time-dependent injection through a circular hole in the plane. The first inverse problem, a parameter estimation problem, consists in simultaneously estimating the temperature-dependent viscosity and a constant injection. The second inverse problem, a function estimation problem, involves the determination of the time-dependent injection. It is shown here that using the derived sensitivity coefficients, a parameter estimation approach can still be used for the second inverse problem, efficiently and accurately, and without the need to solve the adjoint and sensitivity problems as well as additional direct problem solutions. |
| first_indexed | 2024-12-11T00:00:59Z |
| format | Article |
| id | doaj.art-4650bd42bc5146969bc059c47721bf27 |
| institution | Directory Open Access Journal |
| issn | 2666-2027 |
| language | English |
| last_indexed | 2024-12-11T00:00:59Z |
| publishDate | 2022-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | International Journal of Thermofluids |
| spelling | doaj.art-4650bd42bc5146969bc059c47721bf272022-12-22T01:28:28ZengElsevierInternational Journal of Thermofluids2666-20272022-08-0115100184Viscosity and effusion rate identification from free surface dataFarzad Mohebbi0Mathieu Sellier1Corresponding author.; Department of Mechanical Engineering, University of Canterbury, Private Bag 4800, Christchurch 8140, New ZealandDepartment of Mechanical Engineering, University of Canterbury, Private Bag 4800, Christchurch 8140, New ZealandBased on new explicit expressions for sensitivity coefficients, this study proposes a new method to solve two inverse problems in time-dependent three-dimensional gravity-driven thin film flow down an inclined plane governed by free-surface lubrication approximation. The flow is developed by time-dependent injection through a circular hole in the plane. The first inverse problem, a parameter estimation problem, consists in simultaneously estimating the temperature-dependent viscosity and a constant injection. The second inverse problem, a function estimation problem, involves the determination of the time-dependent injection. It is shown here that using the derived sensitivity coefficients, a parameter estimation approach can still be used for the second inverse problem, efficiently and accurately, and without the need to solve the adjoint and sensitivity problems as well as additional direct problem solutions.http://www.sciencedirect.com/science/article/pii/S2666202722000489Gravity-driven flowLubrication approximationTemperature-dependent viscosityInverse problemParameter estimationSensitivity analysis |
| spellingShingle | Farzad Mohebbi Mathieu Sellier Viscosity and effusion rate identification from free surface data International Journal of Thermofluids Gravity-driven flow Lubrication approximation Temperature-dependent viscosity Inverse problem Parameter estimation Sensitivity analysis |
| title | Viscosity and effusion rate identification from free surface data |
| title_full | Viscosity and effusion rate identification from free surface data |
| title_fullStr | Viscosity and effusion rate identification from free surface data |
| title_full_unstemmed | Viscosity and effusion rate identification from free surface data |
| title_short | Viscosity and effusion rate identification from free surface data |
| title_sort | viscosity and effusion rate identification from free surface data |
| topic | Gravity-driven flow Lubrication approximation Temperature-dependent viscosity Inverse problem Parameter estimation Sensitivity analysis |
| url | http://www.sciencedirect.com/science/article/pii/S2666202722000489 |
| work_keys_str_mv | AT farzadmohebbi viscosityandeffusionrateidentificationfromfreesurfacedata AT mathieusellier viscosityandeffusionrateidentificationfromfreesurfacedata |