  With increasing miniaturization of diagnostic devices for more effective
detection of blood-borne pathogens for example, Poiseuille molecular flow in
micro channels has become increasingly relevant. Since continuum mechanics no
longer applies for Poiseuille flow when the Knudson number is near or larger
than unity, kinetic theory is required to capture the microscopic molecular
scattering responsible for channel molecular flow and the velocity profile
across a channel. Here, we apply a response matrix solution to the 1D
Poiseuille flow with a BGK approximation featuring simplicity with precision by
following a consistent numerical formulation leading to high precision, 8-place
benchmarks.
