Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 63, 2013 - Issue 1
135
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Nonlinear Electron Heat Conduction Equation and Self-Similar Method for 1-D Thermal Waves in the Laser Heating of Solid Density DT Fuel

, &
Pages 55-73 | Received 20 Jan 2012, Accepted 21 Jul 2012, Published online: 20 Nov 2012
 

Abstract

Electron heat conduction is one way that energy transports in laser heating of fusible target material. The aim of inertial confinement fusion (ICF) is to show that the thermal conductivity is strongly dependent on temperature and the equation of electron heat conduction is a nonlinear equation. In this article, we solve the one-dimensional (1-D) nonlinear electron heat conduction equation with a self-similar method (SSM). This solution has been used to investigate the propagation of 1-D thermal wave from a deuterium-tritium (DT) plane source, which occurs when a giant laser pulse impinges onto a solid DT target. It corresponds to the physical problem of rapid heating of a boundary layer of material, in which the energy of a laser pulse is released in a finite initial thickness.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.