Axisymmetric simulation of viscoelastic filament thinning with the Oldroyd-B model
نویسندگان
چکیده
منابع مشابه
Numerical approximation of viscoelastic Oldroyd-B flows in curved pipes
The aim of this paper is to study a finite element numerical approximation of steady flows of an incompressible viscoelastic Oldroyd-B fluid in curved pipes of arbitrary cross-section and curvature ratio. Using rectangular toroidal coordinates, existence and uniqueness of approximated solutions are proved as well as a priori error estimates, under a natural restriction on the pipe curvature ratio.
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The spatiotemporal evolution of a viscoelastic jet depends on the relative magnitude of capillary, viscous, inertial and elastic stresses. The interplay of capillary and elastic stresses leads to formation of very thin and stable filaments between drops, or to ‘beadson-a-string’ structure. We show that by understanding the physical processes that control different stages of the jet evolution it...
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We apply the continuous interior penalty method to the three fields Stokes problem. We prove an inf-sup condition for the proposed method leading to optimal a priori error estimates for smooth exact solutions. Moreover we propose an iterative algorithm for the separate solution of the velocities and the pressures on the one hand and the extra-stress on the other. The stability of the iterative ...
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2018
ISSN: 0022-1120,1469-7645
DOI: 10.1017/jfm.2018.514