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 wich 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.

Start-up of a Bingham fluid in a pipe

DAPRA', IRENE;SCARPI, GIANBATTISTA
2005

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 wich 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.
I. Daprà; G. Scarpi
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/10939
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