Random field sampling for a simplified model of melt-blowing considering turbulent velocity fluctuations

Hübsch F, Marheineke N, Ritter K, Wegener R (2013)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2013

Journal

Journal of Statistical Physics Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 150

Pages Range: 1115-1137

Journal Issue: 6

DOI: 10.1007/s10955-013-0715-y

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 (thinning). 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-ε{lunate} 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. Numerical results are discussed for a simplified melt-blowing model consisting of a system of random ordinary differential equations. © 2013 Springer Science+Business Media New York.

Authors with CRIS profile

Nicole Marheineke Professur für Wissenschaftliches Rechnen

Involved external institutions

Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM) / Fraunhofer Institute for Industrial Mathematics DE Germany (DE) Technische Universität Kaiserslautern DE Germany (DE)

How to cite

APA:

Hübsch, F., Marheineke, N., Ritter, K., & Wegener, R. (2013). Random field sampling for a simplified model of melt-blowing considering turbulent velocity fluctuations. Journal of Statistical Physics, 150(6), 1115-1137. https://doi.org/10.1007/s10955-013-0715-y

MLA:

Hübsch, Florian, et al. "Random field sampling for a simplified model of melt-blowing considering turbulent velocity fluctuations." Journal of Statistical Physics 150.6 (2013): 1115-1137.

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