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.

Document Type:

Conference or Workshop Item (Speech)

Title:

Hyperbolic heat conduction equation (HHCE)

Authors:

Authors	Institution or Email of Authors
Hüttner, Bernd

Date:

22 January 2006

Journal or Publication Title:

Proceedings of 19th Meeting on Mathematical Modelling of Materials Processing with Lasers

Editors:

Editors	Email
Kaplan, Alexander

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:

Aeronautics

HGF - Program Themes:

L - no assignement

DLR - Research area:

Aeronautics

DLR - Program:

L - no assignement

DLR - Research theme (Project):

["eprint_fieldopt_dlr_project_search_L000" not defined]

Location:

Lampoldshausen , Stuttgart

Institutes and Institutions:

Institute of Technical Physics

Deposited By:

Dr.rer.nat. Bernd Hüttner

Deposited On:

27 Feb 2007

Last Modified:

15 Jan 2010 00:23

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