  The description of hydrodynamic interactions between a particle and the
surrounding liquid, down to the nanometer scale, is of primary importance since
confined liquids are ubiquitous in many natural and technological situations.
In this paper, we combine three non-conventional atomic force microscopes to
study hydrodynamics around micro- and nano-cylinders. These complementary
methods allow the independent measurement of the added mass and friction terms
over a large range of probe sizes, fluid viscosities and solicitation
conditions. A theoretical model based on an analytical description of the
velocity field around the probe shows that the friction force depends on a
unique parameter, the ratio of the probe radius to the thickness of the viscous
boundary layer. We demonstrate that the whole range of experimental data can be
gathered in a master curve which is well reproduced by the model. This
validates the use of these AFM modes for a quantitative study of
nano-hydrodynamics, and opens the way to the investigation of other sources of
dissipation in simple and complex fluids down to the nanometer scale.
