Slip Flow Models for Gas Flows in Rectangular, Trapezoidal, and Hexagonal Microchannels

A compact slip flow model is proposed for isothermal, incompressible gas flows in long microchannels of rectangular (square), trapezoidal (triangular), and double-trapezoidal (rhombic) cross sections in the slip flow regime. The model is based on superposition of the dimensionless mean continuum velocity and the dimensionless average slip velocity. The characteristic length used in the Poiseuille and Knudsen numbers is the hydraulic diameter. A...