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In this paper heat transfer through argon gas between two stationary walls of a nano sized channel, is investigated by the use of molecular dynamic method. Comparison between two and three-dimensional solutions shows that for accurate modeling of wall force filed on heat transfer, the accuracy of two-dimensional molecular dynamic solution is inadequate. Two-dimensional solution predicts the value for density and temperature less than the value of three-dimensional solution near each wall. Considering the effect of domain size on accuracy of thermal solution shows that domain size should be extended at least for one mean free path in periodic direction to have domain independent results. Distribution of fluid properties in the width of the channel shows that independent of implemented temperature difference, presence of the wall force field changes the temperature and density profile in one nanometer from each wall drastically. In addition to variation in density due to the wall force filed, temperature difference between the walls cause additional variation in density profile near walls. Increasing the temperature difference between the walls to value more than 20 degree, make a notable density variation to more than 5 percent in comparison with gas density distribution in isothermal walls case. Variation in density near walls due to temperature differences leads to mismatch between the non-dimensional temperature profiles and calculated thermal conductivity coefficient of the gas for various temperature differences.

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In order to simulate the heat transfer process from wall to fluid in nanochannel numerically, extensive range of spring constants with regard to wall material is used. In this paper, the effect of variation in wall spring constant on the heat transfer and distribution of the macroscopic properties of fluid has investigated. In this regard, heat transfer in argon gas between two stationary walls of a 5.4 nm nanochannel with Knudsen number 10 has simulated using the molecular dynamic method. Comparison between the results shows that by reducing the wall spring constant, the amplitude of wall atoms vibration increased so it makes the gas atoms to become closer to the wall surface that results in an increase in the heat flux and thermal conductivity coefficient of the gas. Evaluating the result reveals that while the spring constant reduces from k_s=1100εσ^(-2) to k_s=100εσ^(-2), the thermal conductivity coefficient of the gas changes from 0.11 mW⁄(m-K) to 0.27 mW⁄(m-K). Furthermore, the reduced distance between the gas atoms and wall surface results in a decrease in the temperature jump on the wall so it increases the gas density near the cold wall while it decreases near warm wall. Comparison between temperature, density and pressure profiles in the nanochannel height shows that regardless to the amount of spring constant variation, the maximum of these properties has occurred at σ⁄2 from the walls.