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Start-up Flow of a Bingham Fluid in a Pipe

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Abstract

We present an analytical solution of axisymmetric motion for a Bingham fluid initially at rest subjected to a constant pressure gradient applied suddenly. Using the Laplace transform, we obtain expressions which allow the calculation of the instantaneous velocity, plug radius and rate of flow as a function of time. We also give a relation for the shear stress in the plug and in the region where the behaviour of the fluid is Newtonian.

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Authors and Affiliations

  1. DISTART – University of Bologna, Via Risorgimento 2, 40136, Bologna, Italy

    I. Daprà & G. Scarpi

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  1. I. Daprà
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  2. G. Scarpi
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Correspondence to I. Daprà.

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Daprà, I., Scarpi, G. Start-up Flow of a Bingham Fluid in a Pipe. Meccanica 40, 49–63 (2005). https://doi.org/10.1007/s11012-004-4997-7

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  • DOI: https://doi.org/10.1007/s11012-004-4997-7

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