Design and thermal conductivity of 3D artificial cross-linked random fiber networks

Abstract

We propose a novel procedure to design three-dimensional (3D) printable cross-linked random fiber networks. Our procedure describes how to implement, in a novel way, a modified version of random-walk based algorithm using a combination of different free and open-source software programs. Second, we describe in detail a method based on an open-source finite-element software, to analyse the steady-state heat conduction and to compute the effective thermal conductivity for cross-linked fibrous structures immersed in vacuum. We apply this method to examine how the orientations of the fibers and the fiber volume fraction influence the effective thermal conductivity of 3D artificial cross-linked random glass fiber networks. Our numerical results show explicitly the direct link between the effective thermal conductivity and the percolating conduction paths through a 3D cross-linked fiber network. The proposed procedure for creating the 3D drawing and the one for volume meshing as well as the method for solving the steady-state heat conduction problem described in this paper can be extended to other 3D complex structures with closed surfaces.