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An inflow-outflow characterization of inhomogeneous permeable beds
Authors:Mihir Sen  K. T. Yang
Affiliation:(1) Department of Aerospace and Mechanical Engineering, University of Notre Dame, 46556 Notre Dame, IN, USA
Abstract:It is proposed that the inflow to and outflow from a permeable bed be related by an integral. For vanishing fluid velocities, it is linear and its kernel is a material property characterizing the bed. Some of the properties of the kernel are considered here. The approach is particularly useful for tilted, fractured and other inhomogeneous beds, since no continuum characteristics need be assumed. The effects of nonlinearity are also discussed.
Keywords:Integral representation  heterogeneous beds
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