Volume of Suspension That Flows through a Small Orifice Before It Clogs
نویسنده
چکیده
We consider the following experiment. A container is filled with a suspension consisting of particles immersed in an incompressible liquid. An opening is made on the container wall and the suspension flows through the opening. We develop a mathematical model to compute the expected volume of suspension extracted before particles clog the opening. Our studies are relevant to the understanding of clogging of pore throats in porous media, which plays an important role in geomaterials, biological systems, and industrial applications.
منابع مشابه
Suspension extraction through an opening before clogging
Fluids with particles in suspension can be extracted through an orifice until particles bridge across the opening and clog it. We derive and study a mathematical model to predict the volume of fluid that can be extracted before clogging. Numerical simulations and closed-form upper and lower bound solutions show the dependency of the expected extracted volume on the volume fraction of particles ...
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ورودعنوان ژورنال:
- SIAM Journal of Applied Mathematics
دوره 66 شماره
صفحات -
تاریخ انتشار 2005