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All bent out of shape: buckling of sheared fluid layers

  • Neil M. Ribe (a1)
Abstract
Abstract

Buckling instabilities of thin sheets or plates of viscous fluid occur in situations ranging from food and polymer processing to geology. Slim, Teichman & Mahadevan (J. Fluid Mech., this issue, vol. 694, 2012, pp. 5–28) study numerically the buckling of a sheared viscous plate floating on a denser fluid using three approaches: a classical ‘thin viscous plate’ model; full numerical solution of the three-dimensional Stokes equations; and a novel ‘advection-augmented’ thin-plate model that accounts (in an asymptotically inconsistent way) for the advection of perturbations by the background shear flow. The advection-augmented thin-plate model is markedly superior to the classical one in its ability to reproduce the predictions of the Stokes solution, illustrating the utility of judicious violations of asymptotic consistency in fluid-mechanical models.

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Copyright
Corresponding author
Email address for correspondence: ribe@fast.u-psud.fr
Linked references
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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.




7.F. I. Niordson 1985 Shell Theory. North-Holland.


9.N. M. Ribe 2003 Periodic folding of viscous sheets. Phys. Rev. E 68, 036305.

10.M. Skorobogatiy & L. Mahadevan 2000 Folding of viscous sheets and filaments. Europhys. Lett. 52, 532538.


12.S. M. Suleiman & B. R. Munson 1981 Viscous buckling of thin fluid layers. Phys. Fluids 24 (1), 15.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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