Fluid flow and heat-transfer characteristics in microchannels are investigated using a finite element based hydrodynamic model with first-order slip/jump boundary conditions. Helium and nitrogen are utilized as working fluid, and the Knudsen-number ranges from slip to transition regime. Results for high-speed compressible gas flow for two separate cases for a microchannel with rough surface and an aspect ratio of five have been compared with published direct-simulation Monte Carlo results. Despite some noticeable differences, the hydrodynamic model compares favorably in predicting the flow structure and heat-transfer characteristics for high-speed microflows.
NomenclatureC p = specific heat at constant pressure H = height of the channel Kn = Knudsen number k = thermal conductivity L = length of the channel Ma = Mach number P = gas pressure Pr = Prandtl number R = reduced gas constant T = temperature t = time u = gas velocity in x direction v = gas velocity in y direction γ = specific heat ratio = reference length λ = mean free path of the fluid µ = coefficient of viscosity ρ = gas density σ T = thermal-momentum coefficient σ v = tangential-momentum coefficient Subscripts g = gas properties w = wall properties 0 = reference quantity