Diffusive-Ballistic Heat Transport in Thin Films Using Energy Conserving Dissipative Particle Dynamics

Author(s):  
Toru Yamada ◽  
Sina Hamian ◽  
Keunhan Park ◽  
Yutaka Asako ◽  
Mohammad Faghri

Diffusive-ballistic heat transport in thin films was simulated using energy conserving dissipative particle dynamics (DPDe). The solution domain was considered to be two-dimensional and DPD particles were distributed in the solution domain uniformly under constant temperature boundary conditions at the top and bottom walls and periodic boundary at the side walls. The effects of phonon mean free path was incorporated by its relation to the cutoff radius of energy interaction. This cutoff radius was obtained based on Knudsen number using the existing phonon-boundary scattering models. The simulations for 0.1 < Kn < 10 were conducted with the different modifications of the cutoff radius. The results were presented in form of temperature profile across the thin film and were compared with the semi-analytical solution of the equation of phonon radiative transport (EPRT). The discrepancy of the simulations without the phonon mean free path modification was less than 15% with EPRT. Good agreement with EPRT to within 5% was obtained when the phonon-boundary scattering effects were included.

Author(s):  
Toru Yamada ◽  
Keunhan Park ◽  
Yutaka Asako ◽  
Mohammad Faghri ◽  
Bengt Sundén

Diffusive-ballistic heat transport in a two-dimensional square plate was simulated using energy conserving dissipative particle dynamics (DPDe). The solution domain was considered to be a two-dimensional square plate surrounded by walls at constant temperatures, where DPD particles are uniformly distributed. The effects of phonon mean free path was incorporated by its relation to the cutoff radius of energy interaction. This cutoff radius was obtained based on Knudsen number (Kn) using the existing phonon-boundary scattering models. The simulations for 0.1 < Kn < 10 were conducted with different modifications of the cutoff radius. The results are presented in form of temperature distributions in the solution domain and the effect of Knudsen number is discussed.


Author(s):  
Toru Yamada ◽  
Keunhan Park ◽  
Yutaka Asako ◽  
Mohammad Faghri ◽  
Bengt Sundén

The heat conduction in a two-dimensional square plate at nano/micro scales is investigated using numerical and semi-analytical methodologies which are energy conserving dissipative particle dynamics (DPDe) and Boltzmann transport equation (BTE) with the gray relaxation time approximation. The solution domain was considered to be a two-dimensional square plate surrounded by walls having constant temperatures. The numerical and semi-analytical results for different Knudsen numbers ranging from 0.1 to 10 are presented in form of temperature distributions in the solution domain. These results are compared with each other and the applicability of the DPDe model to two-dimensional structures is discussed.


RSC Advances ◽  
2016 ◽  
Vol 6 (96) ◽  
pp. 94193-94199 ◽  
Author(s):  
A. Makris ◽  
T. Haeger ◽  
R. Heiderhoff ◽  
T. Riedl

Today, different theoretical models exist to describe heat transport in ultra-thin films with a thickness approaching the phonon mean free path length.


Author(s):  
M. S. Zaman ◽  
M. G. Satish

It is crucial to understand how one fluid is displaced by another at different temperature through a capillary, as many industrial and reservoir enhanced recovery methods fall into this category. Dissipative particle dynamics (DPD) method has been successfully applied to model mesoscale behaviors of many processes. In this paper, DPD method with energy conservation has been applied to model non-isothermal fluid displacement in capillary tube. Validation of the in-house computer code written in C# is carried out by modeling isothermal no-slip fluid flow. Simulation of non-isothermal fluid displacement using energy conserving DPD gives insight about the parameters affecting the flow.


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