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 (2005). Start-up of a Bingham fluid in a pipe. MECCANICA, 40, 49-63 [10.1007/s11012-004-4997-7].
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.File in questo prodotto:
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