Abstract
Determination of the effective viscosity in the Brinkman’s filtration equation by numerical simulation of an imagined physical experiment in volume flow rate viscometer is presented in this paper. Porous medium is modeled by the bundle of parallel fibers ordered in a regular square array. Such bundle is placed in a square duct. In the first step, a micro-structural flow problem is solved by the Trefftz method using special purpose Trefftz functions. In the second step the bundle of fibers is treated as a porous medium with the Brinkman’s filtration equation as governing equation. Comparison the volume flow rate of these two flows permits as to determine a effective viscosity in filtration equation.
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