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Steady-state heat transfer through a rareed gas conned between parallel plates or coaxial cylinders, whose surfaces are maintained at different temperatures, is investigated using the nonlinear Shakhov (S) model kinetic equation and Direct Simulation Monte Carlo (DSMC) technique in the slip regime. The proles of heat ux and temperature are reported for different values of gas rarefaction parameter d, ratios of hotter to cooler surface temperatures T , and inner to outer radii ratio R. The results of S-modelkinetic equation and DSMC technique are compared to the numerical and analytical solutions of the Fourier equation subjected to the Lin and Willis temperature-jump boundary condition. The analytical expressions are derived for temperature and heat ux for both geometries with hotter and colder surfaces having different values of the thermal accommodation coefcient. The results of the comparison between the kinetic and continuum approaches showed that the Lin and Willis temperature-jump model accurately predicts heat ux and temperature proles for small temperature ratio T = 1.1 and large radius ratios R > 0.5; however, for large temperature ratio, a pronounced disagreement is observed

Continuum and Kinetic Simulations of Heat Transfer Trough Rarefied Gas in Annular and Planar Geometries in the Slip Regime