Flow Past Periodic Arrays of Spheres
نویسندگان
چکیده
(Received ?? and in revised form ??) We calculate the force on a periodic array of spheres in a viscous ow at small Reynolds number and for small volume fraction. This generalizes the known results for the force on a periodic array due to Stokes ow (zero Reynolds number) and the Oseen correction to the Stokes formula for the force on a single sphere (zero volume fraction). We use a generalization of Hasimoto's approach that is based on an analysis of periodic Green's functions. We compare our results to the phenomenological ones of Kaneda for viscous ow past a random arrays of spheres.
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تاریخ انتشار 2007