Asymptotic analysis: Bingham fluid how through a perforated wall

Miguel Lobo Hidalgo

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Start-up of channel-flow of a Bingham fluid initially at rest

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We present an analytical solution of plane motion for a Bingham fluid initially at rest subjected to a suddenly applied constant pressure gradient. Using the Laplace transform we obtain expressions which allow a direct easy calculation of the velocity, of the plug thickness and of the rate of flow as function of time.