The paper features the mathematical model of calculation of thermal conductivity and viscosity for nanofluids on the basis of statistical nanomechanics. Calculation of transport properties for nanofluids for real substances is possible by the classical and statistical mechanics. Classical mechanics has no insight into the microstructure of the substance. The equations obtained by means of classical thermomechanics are empirical and apply only in the region under observation. Contrary to classical mechanics, statistical mechanics calculates the thermomechanic properties of state on the basis of intermolecular and intramolecular interactions between particles in the same system of molecules. It deals with the systems composed of a very large number of particles. For the first time in scientific literature are presented the analytical results for viscosity and thermal conductivity for nanofluids on the basis of statistical nanomechanics. The analytical results obtained by statistical mechanics are compared with the experimental data and show relatively good agreement.

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