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

•A generalized momentum transport model was developed in analogy to the thermomass model.•The nonlinear terms are apparent in nanoscale.•The molecular dynamics simulation for nanoscale flow matches the theoretical prediction. The transport of heat and momentum will exhibit non-linear and nonlocal be...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2021-01, Vol.164, p.120519, Article 120519
Main Authors: Dong, Ruo-Yu, Dong, Yuan, Sellitto, Antonio
Format: Article
Language:English
Subjects:
Channel flow
Conduction heating
Conductive heat transfer
Dimensional analysis
Molecular dynamics
Momentum
Nanochannels
Non Newtonian flow
Shear rate
Shear thinning (liquids)
Steady flow
Velocity gradient
Viscosity
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Summary:•A generalized momentum transport model was developed in analogy to the thermomass model.•The nonlinear terms are apparent in nanoscale.•The molecular dynamics simulation for nanoscale flow matches the theoretical prediction. 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.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2020.120519