Inverse analysis for estimating the timewise and spacewise variation of the wall heat flux in a parallel plate channel
Solves the inverse problem of estimating the wall heat flux in a parallel plate channel, by using the conjugate gradient method with adjoint equation. The unknown heat flux is supposed to vary in time and along the channel flow direction. Examines the accuracy of the present function estimation appr...
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| Published in: | International journal of numerical methods for heat & fluid flow Vol. 7; no. 7; pp. 696 - 710 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Bradford
MCB UP Ltd
01-11-1997
Emerald Group Publishing Limited |
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| Online Access: | Get full text |
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| Abstract | Solves the inverse problem of estimating the wall heat flux in a parallel plate channel, by using the conjugate gradient method with adjoint equation. The unknown heat flux is supposed to vary in time and along the channel flow direction. Examines the accuracy of the present function estimation approach, by using transient simulated measurements of several sensors located inside the channel. The inverse problem is solved for different functional forms of the unknown wall heat flux, including those containing sharp corners and discontinuities, which are the most difficult to be recovered by an inverse analysis. Addresses the effects on the inverse problem solution of the number of sensors, as well as their locations. |
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| AbstractList | Solves the inverse problem of estimating the wall heat flux in a parallel plate channel, by using the conjugate gradient method with adjoint equation. The unknown heat flux is supposed to vary in time and along the channel flow direction. Examines the accuracy of the present function estimation approach, by using transient simulated measurements of several sensors located inside the channel. The inverse problem is solved for different functional forms of the unknown wall heat flux, including those containing sharp corners and discontinuities, which are the most difficult to be recovered by an inverse analysis. Addresses the effects on the inverse problem solution of the number of sensors, as well as their locations. This study solves the inverse problem of estimating the wall heat flux in a parallel plate channel, by using the conjugate gradient method with adjoint equation. The unknown heat flux is supposed to vary in time and along the channel flow direction. It examines the accuracy of the present function estimation approach, by using transient simulated measurements of several sensors located inside the channel. The inverse problem is solved for different functional forms of the unknown wall heat flux, including those containing sharp corners and discontinuities, which are the most difficult to be recovered by an inverse analysis. The study also addresses the effects on the inverse problem solution of the number of sensors, as well as their locations. |
| Author | Machado, H.A Orlande, H.R.B |
| Author_xml | – sequence: 1 givenname: H.A surname: Machado fullname: Machado, H.A organization: Department of Mechanical Engineering, PEM COPPE, Federal University of Rio de Janeiro, Brazil – sequence: 2 givenname: H.R.B surname: Orlande fullname: Orlande, H.R.B organization: Department of Mechanical Engineering, PEM COPPE, Federal University of Rio de Janeiro, Brazil |
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| Snippet | Solves the inverse problem of estimating the wall heat flux in a parallel plate channel, by using the conjugate gradient method with adjoint equation. The... This study solves the inverse problem of estimating the wall heat flux in a parallel plate channel, by using the conjugate gradient method with adjoint... |
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| SubjectTerms | Channel flow Conjugate gradient method Fluctuations Fluid dynamics Heat Heat conduction Heat transfer Inverse problems Mathematical analysis Mathematical models Sensors Studies Wall heat flux |
| Title | Inverse analysis for estimating the timewise and spacewise variation of the wall heat flux in a parallel plate channel |
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