NUMERICAL ANALYSIS OF COSSERAT ROD AND STRING MODELS FOR VISCOUS JETS IN ROTATIONAL SPINNING PROCESSES

DOI10.1142/S0218202510004738zbMath1376.76012OpenAlexW2015922054MaRDI QIDQ3063648

Nicole Marheineke, Walter Arne, Andreas Meister, Raimund Wegener

Publication date: 15 December 2010

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202510004738

zbMATH Keywords

boundary value problemrotational spinning processasymptotic Cosserat modelscurved viscous fibersexistence of numerical solutions

Mathematics Subject Classification ID

Related Items (13)

ASYMPTOTIC TRANSITION FROM COSSERAT ROD TO STRING MODELS FOR CURVED VISCOUS INERTIAL JETS ⋮ An alternative choice of the boundary condition for the arbitrary Lagrangian-Eulerian method ⋮ Asymptotic Models of Different Complexity for Viscous Jets and Their Applicability Regimes ⋮ Fluid-fiber-interactions in rotational spinning process of glass wool production ⋮ Finite volume approach for the instationary Cosserat rod model describing the spinning of viscous jets ⋮ On mathematical approaches to modelling slender liquid jets with a curved trajectory ⋮ Whipping of Electrified Visco-Capillary Jets in Airflows ⋮ Regularized string model for nanofibre formation in centrifugal spinning methods ⋮ Random field sampling for a simplified model of melt-blowing considering turbulent velocity fluctuations ⋮ On simulations of spinning processes with a stationary one-dimensional upper convected Maxwell model ⋮ Asymptotics and numerics for the upper-convected Maxwell model describing transient curved viscoelastic jets ⋮ Buckling of chiral rods due to coupled axial and rotational growth ⋮ Centrifugal spinning of viscoelastic nanofibres

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