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The article examines the thermohydrodynamics of rarefied Poiseuille flow in a finite length channel, emphasizing the impact of dilatation and non-isochoric effects. Variations in pressure-driven and acceleration-driven Poiseuille flows are discussed, with a focus on the saturation of mass flow rate at high Knudsen numbers in pressure-driven flow. The study highlights the significance of dilatation in explaining differences in hydrodynamic fields, rheology, and flow-induced heat transfer between the two flows, as well as the implementation of boundary conditions and averaging procedures in the DSMC method. The research suggests that further exploration is needed to understand the implications of dilatation in various flow scenarios and discusses the challenges in solving the Boltzmann equation using the DSMC method. [Extracted from the article]