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The role of the polymer volume fraction, $\phi$, on steady state slippage andinterfacial friction is investigated for a semi-dilute polystyrene solutions indiethyl phthalate in contact with two solid surfaces. Signicant slippage isevidenced for all samples, with slip lengths b obeying a power law dependence.The Navier's interfacial friction coecient, k, is deduced from the slip lengthmeasurements and from independent measurements of the solutions viscosity$\eta$. The observed scaling of k versus $\phi$ clearly excludes a molecularmechanism of friction based on the existence of a depletion layer. Instead, weshow that the data of $\eta$($\phi$) and k($\phi$) are understood when takinginto account the dependence of the solvent friction on $\phi$. Two models,based on the friction of blobs or of monomers on the solid surface, welldescribe our data. Both points out that the Navier's interfacial friction is asemi-local phenomenon.

Slip and friction mechanisms at polymer semi-dilute solutions / solid interfaces