A parallelized Direct Simulation Monte Carlo (DSMC) solver is developed to solve the Boltzmann equation for the pressure-driven Poiseuille flow of monatomic gases over a range of Knudsen numbers in the slip and transitional regimes. The non-Newtonian and non-Fourier effects, along with hydrodynamic fields and rheology, are investigated and compared to the more widely studied acceleration-driven Poiseuille flow. The slip velocity is extracted from the velocity profiles and is expressed in terms of the Knudsen number as a power law. The non-Newtonian effects on stresses are characterised by defining two normal-stress differences whose variations in the stream-wise and wall-normal directions are studied. In addition, the normal and tangential heat fluxes are calculated from the simulation. To isolate the entrance and exit effects, the simulation is carried out for different aspect ratios of the channel keeping the pressure gradient constant. Finally this study is extended to the pressure-driven flow of rarefied granular gases.

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