Viscous sheet retraction

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Viscous Sheet Retraction Citation

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We present the results of a combined theoretical and numerical investigation of the rim-driven retraction of flat f...

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Viscous sheet retraction

We present the results of a combined theoretical and numerical investigation of the rim-driven retraction of flat fluid sheets in both planar and circular geometries. Particular attention is given to the influence of the fluid viscosity on the evolution of the sheet and its bounding rim. In both geometries, after a transient that depends on the sheet viscosity and geometry, the film edge eventu...

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Singular thin viscous sheet.

The evolution of a thin viscous layer is usually smooth. Here we conduct an experiment where the layer adopts a singular shape. Using the analogy between the flow of a viscous liquid and the deformation of an elastic solid, the theoretical analysis predicts a conical shape for the sheet and is in quantitative agreement with the experiment.

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Viscous Flow Due to a Shrinking Sheet

The viscous flow induced by a shrinking sheet is studied. Existence and (non)uniqueness are proved. Exact solutions, both numerical and in closed form, are found.

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Viscous Flow over Nonlinearly Stretching Sheet with Effects of Viscous Dissipation

The flow and heat transfer characteristics of incompressible viscous flow over a nonlinearly stretching sheet with the presence of viscous dissipation is investigated numerically. The similarity transformation reduces the time-independent boundary layer equations for momentum and thermal energy into a set of coupled ordinary differential equations. The obtained equations, including nonlinear eq...

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ژورنال

عنوان ژورنال: Journal of Fluid Mechanics

سال: 2009

ISSN: 0022-1120,1469-7645

DOI: 10.1017/s0022112009005795