  The critical dynamics of Model H with a conserved order parameter coupled to
a transverse momentum density which describes the gas-liquid or binary-fluid
transitions is investigated within the functional renormalization group
approach formulated on the closed time path. According to the dynamic scaling
analysis, Model H and QCD critical end point belong to the same dynamic
universality class in the critical region. The higher-order correction of the
transport coefficient $\bar\lambda$ and shear viscosity $\bar\eta$ arising from
mode-couplings are obtained by calculating the two-point correlation functions.
The flow equation of a dimensionless coupling constant for nondissipative
interactions is derived to look for the fixed-point solution of the system. The
scaling relation between the critical exponent of the transport coefficient and
that of the shear viscosity is estimated. Finally, the dynamic critical
exponent $z$ is obtained as a function of the spatial dimension $d$.
