Bending Boundary Layers in a Moving Strip |
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| Authors: | Stump DM Fraser WB |
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| Institution: | (1) Department of Mathematics, The University of Queensland, St. Lucia, QLD, 4072, Australia;(2) School of Mathematics and Statistics, The University of Syndey, Sydney, NSW 2006, Australia |
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| Abstract: | The high-speed transport of thin-sheet materials occurs in avariety of industrial processes. In this paper the method of matchedasymptotic expansions is used to solve the low tension, large-deflectionshape of a convected strip hanging under gravity. To leading order theequations for the deflection in the boundary layer and in the centre ofthe span are nonlinear. Previous treatments of this problem have notaccurately solved the leading-order equation within the boundary layer.The composite analytic solution of the full nonlinear equation isobtained and compares well with numerical solutions. |
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| Keywords: | matched asymptotic expansions boundary layers catenary planar rods |
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