Non-equilibrium temperature and velocity fields in a microchannel flow using discrete kinetic approach

Discrete kinetic theory approach has been used to study dilute, monatomic gas flow between two walls in microdomains. A four-velocity coplanar model has been adopted, where the microscopic velocity-orientation angle is a function of the Knudsen number. Diffusive reflection boundary condition has been incorporated to obtain the solution. Subsequently, the macroscopic velocity slip at the wall, the velocity profile across the walls and the volume flow rate are calculated for the transition flow regime, where the Knudsen number varies between 0.1 and 10. Furthermore, the 'kinetic' temperature for this non-equilibrium system has been calculated based on the velocity profiles. The temperature jump at the wall and the Nusselt number are estimated and compared with the continuum-limit approximations.