Using the recently developed thermal neutron scattering kernels for water and heavy water, which incorporate both the collective and the molecular modes present in water and heavy water, the thermal neutron transport studies of asymptotic decay constants λ0, diffusion coefficient D0, diffusion cooling coefficient C, and the transport mean-free-path tr are studied for liquid H2O-D2O mixtures with varying molecular contents and for various assembly sizes at 21 and 5°C. The calculated values of the physical constants, λ0, D0, C, and tr are found to be in good agreement with the corresponding experimental results. Both the collective motion and the molecular modes present in the liquid H2O-D2O mixtures play significant roles in the thermal neutron transport processes.