Physical Review E, ( ISI ), Volume (85), No (5), Year (2012-5) , Pages (1-11)

Title : ( Thermal and second-law analysis of a micro- or nanocavity using direct-simulation Monte Carlo )

Authors: Alireza Mohammadzadeh , Ehsan Roohi , Hamid Niazmand , Stefan Stefanov , Rho Shin Myong ,

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In this study the direct-simulationMonteCarlo (DSMC) method is utilized to investigate thermal characteristics of micro- or nanocavity flow. The rarefied cavity flow shows unconventional behaviors which cannot be predicted by the Fourier law, the constitutive relation for the continuum heat transfer. Our analysis in this study confirms some recent observations and shows that the gaseous flow near the top-left corner of the cavity is in a strong nonequilibrium state even within the early slip regime, Kn = 0.005. As we obtained slip velocity and temperature jump on the driven lid of the cavity, we reported meaningful discrepancies between the direct and macroscopic sampling of rarefied flow properties in the DSMC method due to existence of nonequilibrium effects in the corners of cavity. The existence of unconventional nonequilibrium heat transfer mechanisms in the middle of slip regime,Kn = 0.05, results in the appearance of cold-to-hot heat transfer in themicrocavity. In the current study we demonstrate that existence of such unconventional heat transfer is strongly dependent on the Reynolds number and it vanishes in the large values of the lid velocity. As we compared DSMC solution with the results of regularized 13 moments (R13) equations, we showed that the thermal characteristic of the microcavity obtained by the R13 method coincides with the DSMC prediction. Our investigation also includes the analysis of molecular entropy in the microcavity to explain the heat transfer mechanism with the aid of the second law of thermodynamics. To this aim, we obtained the two-dimensional velocity distribution functions to report the molecular-based entropy distribution, and show that the cold-to-hot heat transfer in the cavity is well in accordance with the second law of thermodynamics and takes place in the direction of increasing entropy. At the end we introduce the entropy density for the rarefied flow and show that it can accurately illustrate departure from the equilibrium state.


, 47.61.−k, 47.45.−n, 05.70.−a, 02.70.−c
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author = {Mohammadzadeh, Alireza and Roohi, Ehsan and Niazmand, Hamid and Stefan Stefanov and Rho Shin Myong},
title = {Thermal and second-law analysis of a micro- or nanocavity using direct-simulation Monte Carlo},
journal = {Physical Review E},
year = {2012},
volume = {85},
number = {5},
month = {May},
issn = {2470-0045},
pages = {1--11},
numpages = {10},
keywords = {47.61.−k; 47.45.−n; 05.70.−a; 02.70.−c},


%0 Journal Article
%T Thermal and second-law analysis of a micro- or nanocavity using direct-simulation Monte Carlo
%A Mohammadzadeh, Alireza
%A Roohi, Ehsan
%A Niazmand, Hamid
%A Stefan Stefanov
%A Rho Shin Myong
%J Physical Review E
%@ 2470-0045
%D 2012