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The dynamic properties of fluid, including density, surface tension,diffusivity and viscosity, are temperature-dependent and can significantlyinfluence the flow dynamics of mesoscopic non-isothermal systems. To capturethe correct temperature-dependence of a fluid, a many-body dissipative particledynamics model with energy conservation (mDPDe) is developed by combining thetemperature-dependent coefficient of the conservative force and weighting termsof the dissipative and random forces. The momentum and thermal diffusivity,viscosity, and surface tension of liquid water at various temperatures rangingfrom 273 K to 373 K are used as examples for verifying the proposed model.Simulations of a periodic Poiseuille flow driven by body forces and heatsources are carried out to validate the diffusivity of the present model. Also,a steady case of heat conduction for reproducing the Fourier law is used tovalidate the thermal boundary conditions. By using this mDPDe simulations, thethermocapillary motion of liquid water nanodroplets on hydrophobic substrateswith thermal gradients is investigated. The migration of the droplet isobserved on flat substrates with gradient temperature. The velocity of themigration becomes larger for higher temperature difference, which is inagreement with the present theoretical analysis and DVDWT simulations. Theresults illustrate that the modified model can be used to study Marangonieffect on a nanodroplet and other heat and mass transfer problems with freeinterface.

Temperature-dependent properties of liquid-vapour coexistence system with many-body dissipative particle dynamics with energy conservation