We measure the quality factor, Q for an oscillating membrane, which is in p
arallel with a superfluid He-3 weak link array. We have constructed an effe
ctive cell model to help explain these results and find reasonable agreemen
t between the experimental data and our theoretical model. The familiar eff
ects of first and second viscosity have been considered as well as a new in
trinsic dissipation that acts as a linear shunt conductance G across the we
ak link. Although the viscous terms dominate, as seen in single orifice wea
k links [1], the "shorting" effects of the shunt conductance noticably supp
ress the quality factor, especially at low temperatures. (C) 2000 Published
by Elsevier Science B.V. All rights reserved.