An analogy analysis between one-dimensional non-Fourier heat conduction and non-Newtonian flow in nanosystems

The transport of heat and momentum will exhibit non-linear and nonlocal behavior in extreme conditions, including the limited spatial scale in nanosystems. In this work, we present an analogy analysis between non-Fourier heat conduction and non-Newtonian momentum transport. Similar to the key assumptions in the thermomass model, we derived a new governing equation for momentum transport in nanosystems, which predicts the varying effective viscosity in steady flow. This shear thinning effect will be apparent in nano-channel flow where the velocity gradient and the momentum transport flux are huge. Molecular dynamics simulation is further performed in Lennard-Jones fluid and hard sphere gas at the nanoscale. The calculated viscosity decreases with the shear rate, agreeing with the prediction of our proposed model.