Frequency response of certain temporal and complex transfer functions for the Interfacial 1D temperature wave
This note is concerned with the dynamics of 1D temperature waves generated by time modulation of a boundary heat flux. It demonstrates how a certain temporal transfer function of both parabolic and low frequency hyperbolic interfacial temperature waves happens to be frequency semi-invariant with a v...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2023-11-01
|
| Series: | Comptes Rendus. Mécanique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.197/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825205985107509248 |
|---|---|
| author | Haidar, Nassar |
| author_facet | Haidar, Nassar |
| author_sort | Haidar, Nassar |
| collection | DOAJ |
| description | This note is concerned with the dynamics of 1D temperature waves generated by time modulation of a boundary heat flux. It demonstrates how a certain temporal transfer function of both parabolic and low frequency hyperbolic interfacial temperature waves happens to be frequency semi-invariant with a vibrating boundary heat flux. It is proved that only high frequency hyperbolic interfacial temperature waves can have a fully frequency-invariant temporal transfer function relative to such a vibrating boundary. The frequency response of an associated complex transfer function is also studied and demonstrated to behave, at low frequencies, as fixed lag compensator. Only according to hyperbolic theory of heat conduct, this compensator converts, at high frequencies, to a fixed gain amplifier. |
| format | Article |
| id | doaj-art-21e8a80a812c4fda93fcce90224991ff |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-21e8a80a812c4fda93fcce90224991ff2025-02-07T13:47:16ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-11-01351G256357510.5802/crmeca.19710.5802/crmeca.197Frequency response of certain temporal and complex transfer functions for the Interfacial 1D temperature waveHaidar, Nassar0Euclidean Press LLC, 77 Ibrahim Abdul Al Str, Hamra, Beirut, LebanonThis note is concerned with the dynamics of 1D temperature waves generated by time modulation of a boundary heat flux. It demonstrates how a certain temporal transfer function of both parabolic and low frequency hyperbolic interfacial temperature waves happens to be frequency semi-invariant with a vibrating boundary heat flux. It is proved that only high frequency hyperbolic interfacial temperature waves can have a fully frequency-invariant temporal transfer function relative to such a vibrating boundary. The frequency response of an associated complex transfer function is also studied and demonstrated to behave, at low frequencies, as fixed lag compensator. Only according to hyperbolic theory of heat conduct, this compensator converts, at high frequencies, to a fixed gain amplifier.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.197/Temporal transfer functionTemperature waveFrequency invarianceComplex transfer functionInterfacial solutionsHyperbolic heat conduction |
| spellingShingle | Haidar, Nassar Frequency response of certain temporal and complex transfer functions for the Interfacial 1D temperature wave Comptes Rendus. Mécanique Temporal transfer function Temperature wave Frequency invariance Complex transfer function Interfacial solutions Hyperbolic heat conduction |
| title | Frequency response of certain temporal and complex transfer functions for the Interfacial 1D temperature wave |
| title_full | Frequency response of certain temporal and complex transfer functions for the Interfacial 1D temperature wave |
| title_fullStr | Frequency response of certain temporal and complex transfer functions for the Interfacial 1D temperature wave |
| title_full_unstemmed | Frequency response of certain temporal and complex transfer functions for the Interfacial 1D temperature wave |
| title_short | Frequency response of certain temporal and complex transfer functions for the Interfacial 1D temperature wave |
| title_sort | frequency response of certain temporal and complex transfer functions for the interfacial 1d temperature wave |
| topic | Temporal transfer function Temperature wave Frequency invariance Complex transfer function Interfacial solutions Hyperbolic heat conduction |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.197/ |
| work_keys_str_mv | AT haidarnassar frequencyresponseofcertaintemporalandcomplextransferfunctionsfortheinterfacial1dtemperaturewave |