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- W2067255711 abstract "The variational principle is applied to trial functions containing infinite series or orthogonal functions, in order to describe Stokes flow through systems with a symmetry too low to permit an exact analytical solution of the flow equation. The problem of Poiseuille flow between two laminae is solved exactly by this method, to illustrate its power. The method is then applied to the problem of flow through a two-dimensional symmetrical fibrous filter, where it results in a many-fibre model of a filter with a continuous stream function, and can be used to calculate the pressure drop across the filter. The model is limited to fibres that are flattened in the flow direction. Finally, the principle is applied to a description of the macroscopic flow pattern through a filter pleat. Reasonable agreement with simple analogue methods is found both for the pressure drop and the flow pattern." @default.
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- W2067255711 date "1983-05-14" @default.
- W2067255711 modified "2023-10-17" @default.
- W2067255711 title "The use of the variational principle in the solution of Stokes flow problems in fibrous filters" @default.
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- W2067255711 doi "https://doi.org/10.1088/0022-3727/16/5/007" @default.
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