The recent development of opto-mechano-fluidic resonators has provided -- by
harnessing photon radiation pressure -- a new microfluidics platform for the
optical sensing of fluid density and bulk modulus. Here we show that fluid
viscosity can also be determined through optomechanical measurement of the
vibrational noise spectrum of the resonator mechanical modes. A linear
relationship between the spectral linewidth and root-viscosity is predicted and
experimentally verified in the low viscosity regime. Our result is a step
towards multi-frequency measurement of viscoelasticity of arbitrary fluids,
without sample contamination, using highly sensitive optomechanics techniques.Comment: 4 pages, 4 figures, 1 tabl