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We investigate nanoflows through dilute disordered media by means of jointlattice Boltzmann (LB) and molecular dynamics (MD) simulations -- when the sizeof the obstacles is comparable to the size of the flowing particles -- forrandomly located spheres and for a correlated particle-gel. In both cases atsufficiently low solid fraction, $\Phi<0.01$, LB and MD provide similar valuesof the permeability. However, for $\Phi > 0.01$, MD shows that molecular sizeeffects lead to a decrease of the permeability, as compared to theNavier-Stokes predictions. For gels, the simulations highlights a surplus ofpermeability, which can be accommodated within a rescaling of the effectiveradius of the gel monomers.

Nanoflows through disordered media: a joint Lattice Boltzmann and Molecular Dynamics investigation