Densities rho and viscosities eta, for the binary mixture triethylamine-water have been measured over the entire range of mole fractions at different temperatures, both near and far away from the critical temperature T-c (0.076 K <= (T- T-c) <= 8.276 K). By calculating the corresponding activation parameters Delta H* and Delta S*, it has been shown that a possible connection may be presented between the evolution of these parameters and the critical region. Furthermore, in the one-phase region just below T-c of the critical (TEA-W) binary fluid, the viscosity measurements yield an enhancement as expected for Ising criticality with a crossover to regular behaviour. The regular background is obtained by interpolation from the measurements at non-critical concentrations. Shear viscosity data are consistent with a power law divergence eta = eta(0)(Q xi(0))(2)t(-y)F predicted by the mode-coupling and the dynamic renormalization group theories. Different equations are used in order to determine the critical exponenty, the obtained values are in good agreement with the renormalization group-predicted value. The best fit gives y = vz = 0.0391 +/- 0.0002 (i.e., z = 0.0679). Moreover, the resulting value for the wave number Q = 1.0152 +/- 0.0016 nm(-1) is in the region found for many other systems. (C) 2009 Elsevier B.V. All rights reserved.