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Hüttner, Bernd (2006) Hyperbolic heat conduction equation (HHCE). In: Proceedings of 19th Meeting on Mathematical Modelling of Materials Processing with Lasers. M4Pl 19, 2006-01-21 - 2006-01-23, Igls, Austria.
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Abstract
It is shown that for ultra short time scales the parabolic heat conduction equation fails and, therefore, the hyperbolic heat conduction equation must be used. Furthermore, a derivation of the HHCE is given in the frame of the extended thermodynamics. A simple and easy to understand explanation of the physical meaning of the temperature relaxation time is given.
| Item URL in elib: | https://elib.dlr.de/47461/ | ||||||||
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| Document Type: | Conference or Workshop Item (Speech) | ||||||||
| Title: | Hyperbolic heat conduction equation (HHCE) | ||||||||
| Authors: |
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| Date: | 22 January 2006 | ||||||||
| Journal or Publication Title: | Proceedings of 19th Meeting on Mathematical Modelling of Materials Processing with Lasers | ||||||||
| Open Access: | Yes | ||||||||
| Gold Open Access: | No | ||||||||
| In SCOPUS: | No | ||||||||
| In ISI Web of Science: | No | ||||||||
| Editors: |
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| Status: | Published | ||||||||
| Keywords: | hyperbolic heat conduction equation, temperature relaxation time, extended thermodynamics, Maxwell-Cattaneo equation, electron temperature, phonon temperature | ||||||||
| Event Title: | M4Pl 19 | ||||||||
| Event Location: | Igls, Austria | ||||||||
| Event Type: | international Conference | ||||||||
| Event Start Date: | 21 January 2006 | ||||||||
| Event End Date: | 23 January 2006 | ||||||||
| Organizer: | Luela university | ||||||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||||||
| HGF - Program: | other | ||||||||
| HGF - Program Themes: | other | ||||||||
| DLR - Research area: | Aeronautics | ||||||||
| DLR - Program: | L - no assignment | ||||||||
| DLR - Research theme (Project): | L - no assignment (old) | ||||||||
| Location: | Lampoldshausen , Stuttgart | ||||||||
| Institutes and Institutions: | Institute of Technical Physics | ||||||||
| Deposited By: | Hüttner, Dr.rer.nat. Bernd | ||||||||
| Deposited On: | 27 Feb 2007 | ||||||||
| Last Modified: | 24 Apr 2024 19:09 |
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