To the top

Page Manager: Webmaster
Last update: 9/11/2012 3:13 PM

Tell a friend about this page
Print version

Analytical solution for h… - University of Gothenburg, Sweden Till startsida
Sitemap
To content Read more about how we use cookies on gu.se

Analytical solution for heat conduction due to a moving Gaussian heat flux with piecewise constant parameters

Journal article
Authors Robert Forslund
A. Snis
Stig Larsson
Published in Applied Mathematical Modelling
Volume 66
Pages 227-240
ISSN 0307-904X
Publication year 2019
Published at Department of Mathematical Sciences
Pages 227-240
Language en
Links dx.doi.org/10.1016/j.apm.2018.09.01...
Keywords Analytical solution, Three-dimensional, Moving heat flux, Powder bed fusion, Electron beam melting
Subject categories Mathematics

Abstract

We provide an analytical solution of the heat equation in the half-space subject to a moving Gaussian heat flux with piecewise constant parameters. The solution is of interest in powder bed fusion applications where these parameters can be used to control the conduction of heat due to a scanning beam of concentrated energy. The analytical solution is written in a dimensionless form as a sum of integrals over (dimensionless) time. For the numerical computation of these integrals we suggest a quadrature scheme that utilizes pre-calculated look-up tables for the required quadrature orders. Such a scheme is efficient because the required quadrature orders are strongly dependent on the parameters in the heat flux. The possibilities of using the obtained computational technique for the control and optimization of powder bed fusion processes are discussed.

Page Manager: Webmaster|Last update: 9/11/2012
Share:

The University of Gothenburg uses cookies to provide you with the best possible user experience. By continuing on this website, you approve of our use of cookies.  What are cookies?