A methodology to calculate the friction coefficient in the transition regime: Application to straight chains

摘要: Abstract A methodology is introduced, the Collision Rate Method (CRM), to calculate friction coefficient of power-law aggregates across entire momentum-transfer regime. The calculated via ratio two fictitious particle-aggregate collision rates evaluated in continuum and slip-flow regimes. effective are obtained from numerical solution Laplace equation with Robin boundary condition. was justified by comparing slip correction factor straight-chains composed up 50 spherical monomers literature results. We determined validity CRM lie an extended regime, maximum monomer Knudsen number being 2. adjusted-sphere radius, radius a sphere same as chain, flow. found it be weakly dependent on flow conditions, specified carrier-gas mean free path, dependence that leads weak effect factors. combined Adjusted-Sphere extend its all numbers. Excellent agreement calculated, straight-chain, factors values for numbers 100. Various characteristic length scales, geometric (equivalent volume gyration) dynamic hydrodynamic mobility radii), were calculated.