A numerical investigation of the fluid mechanical sewing machine

作者：Brun P T^*; Ribe N M; Audoly B

来源：Physics of Fluids, 2012, 24(4): 043102.

DOI：10.1063/1.3703316

• deformation
• flow simulation
• jets
• pattern formation
• sewing machines

A thin thread of viscous fluid falling onto a moving belt generates a surprising variety of patterns depending on the belt speed, fall height, flow rate, and fluid properties. Here, we simulate this experiment numerically using the discrete viscous threads method that can predict the non-steady dynamics of thin viscous filaments, capturing the combined effects of inertia and of deformation by stretching, bending, and twisting. Our simulations successfully reproduce nine out of ten different patterns previously seen in the laboratory and agree closely with the experimental phase diagram of Morris [Phys. Rev. E 77, 066218 (2008)]. We propose a new classification of the patterns based on the Fourier spectra of the longitudinal and transverse motion of the point of contact of the thread with the belt.

• 出版日期2012-4