Computational study of the axial instability of rimming flow using Arnoldi method

Axial instability of rimming flow has been investigated by solving a linear generalized eigenvalue problem that governs the evolution of perturbations of two-dimensional base flow. Using the Galerkin finite element method, full Navier-Stokes equations were solved to calculate base flow and this base flow was perturbed with three-dimensional disturbances. The generalized eigenproblem formulated from these equations was solved by the implicitly restarted Amoldi method using shift-invert technique. This study presents instability curves to identify the critical wavelength of the neutral mode and the critical beta, which measures the importance of gravity relative to viscosity. The axial instability of rimming flow is examined and three-dimensional flow was reconstructed by using eigenvector and growth rate at a critical wave number. The critical beta value in the axial instability analysis was observed to be comparable to the onset beta value of the transition between the bump and the homogeneous film state in 2-D base flow calculations. Copyright (c) 2006 John Wiley & Sons, Ltd.
Publisher
JOHN WILEY & SONS LTD
Issue Date
2007-02
Language
ENG
Keywords

ROTATING HORIZONTAL CYLINDER; FINITE-ELEMENT-METHOD; FREE-SURFACE FLOW; RUN-OFF CONDITION; COATING FLOWS; LINEAR-STABILITY; LIQUID-FILM; FLUID-FLOW; THIN-FILM; STEADY

Citation

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, v.53, no.4, pp.691 - 711

ISSN
0271-2091
DOI
10.1002/fld.1300
URI
http://hdl.handle.net/10203/9447
Appears in Collection
CBE-Journal Papers(저널논문)
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