The influence of Reynolds number upon the apparent permeability of spatially periodic arrays of cylinders

TY - JOUR

T1 - The influence of Reynolds number upon the apparent permeability of spatially periodic arrays of cylinders

AU - Edwards, D. A.

AU - Shapiro, M.

AU - Bar-Yoseph, P.

AU - Shapira, M.

PY - 1990

Y1 - 1990

N2 - Flow fields within spatially periodic arrays of cylinders arranged in square and hexagonal lattices are calculated, with microscale Reynolds number ranging between zero and 200, employing a finite element numerical scheme. The terminology of an "apparent permeability" is introduced to establish a relationship existing between mean velocity and macroscopic pressure gradient characterized by a finite Reynolds number flow. In contrast with the low Reynolds number "true" permeability, the apparent permeability is shown here to generally depend upon the direction of the applied pressure gradient, owing to nonlinearities existing within the local fluid motion. The orientation-dependent permeabilities of both square and hexagonal monodisperse arrays are observed to diminish with increasing Reynolds number. Similar behavior is also observed for a bidisperse square array, though the apparent permeability of the latter is shown less sensitive to Darcy velocity orientation at large Reynolds numbers in comparison to the corresponding monodisperse square array, for all cylinder concentrations examined.

AB - Flow fields within spatially periodic arrays of cylinders arranged in square and hexagonal lattices are calculated, with microscale Reynolds number ranging between zero and 200, employing a finite element numerical scheme. The terminology of an "apparent permeability" is introduced to establish a relationship existing between mean velocity and macroscopic pressure gradient characterized by a finite Reynolds number flow. In contrast with the low Reynolds number "true" permeability, the apparent permeability is shown here to generally depend upon the direction of the applied pressure gradient, owing to nonlinearities existing within the local fluid motion. The orientation-dependent permeabilities of both square and hexagonal monodisperse arrays are observed to diminish with increasing Reynolds number. Similar behavior is also observed for a bidisperse square array, though the apparent permeability of the latter is shown less sensitive to Darcy velocity orientation at large Reynolds numbers in comparison to the corresponding monodisperse square array, for all cylinder concentrations examined.

UR - http://www.scopus.com/inward/record.url?scp=22044456743&partnerID=8YFLogxK

U2 - 10.1063/1.857691

DO - 10.1063/1.857691

M3 - 文章

AN - SCOPUS:22044456743

SN - 0899-8213

VL - 2

SP - 45

EP - 55

JO - Physics of fluids. A, Fluid dynamics

JF - Physics of fluids. A, Fluid dynamics

IS - 1

ER -