Random field sampling for a simplified model of melt-blowing considering turbulent velocity fluctuations
Mathematical Physics
2015-07-02 v1 math.MP
Probability
Data Analysis, Statistics and Probability
Fluid Dynamics
Abstract
In melt-blowing very thin liquid fiber jets are spun due to high-velocity air streams. In literature there is a clear, unsolved discrepancy between the measured and computed jet attenuation. In this paper we will verify numerically that the turbulent velocity fluctuations causing a random aerodynamic drag on the fiber jets -- that has been neglected so far -- are the crucial effect to close this gap. For this purpose, we model the velocity fluctuations as vector Gaussian random fields on top of a k-epsilon turbulence description and develop an efficient sampling procedure. Taking advantage of the special covariance structure the effort of the sampling is linear in the discretization and makes the realization possible.
Keywords
Cite
@article{arxiv.1208.6175,
title = {Random field sampling for a simplified model of melt-blowing considering turbulent velocity fluctuations},
author = {Florian Hübsch and Nicole Marheineke and Klaus Ritter and Raimund Wegener},
journal= {arXiv preprint arXiv:1208.6175},
year = {2015}
}