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Hyperbolic heat conduction equation (HHCE)

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/
Document Type:Conference or Workshop Item (Speech)
Title:Hyperbolic heat conduction equation (HHCE)
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Hüttner, BerndUNSPECIFIEDUNSPECIFIED
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:
EditorsEmail
Kaplan, AlexanderUNSPECIFIED
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 Dates:2006-01-21 - 2006-01-23
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:31 Jul 2019 19:19

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