Analytical study of the continuous regime effects of hydrogen-air mixture put into a micro-channel with platinum catalytic surface

In this paper, the analytical investigation of two thermal and mass transfer effects for non-homogeneous catalytic reaction mixture into a micro-channel has been achieved considering the continuous regime properties. In this problem, the Knudsen number is considered smaller than 0.1 where the flow is in the continuous or slip regime. The governing equations are consisting of energy, mole fraction and catalytic conversion where the wall effects have been achieved from thermal and mass jump boundary conditions. The solution results at three different values of Knudsen number are compared with experimental data, and at all points, when the Knudsen number is equal to 0.01 the best validity by experimental data be available. The results of slip-jump solution, with maximum error of 2.54%, has a better validated experimental values than based modeling data without slip and jump condition, with maximum error of 26.6%. The greatest increase in fuel conversion occurs at low-level Reynolds number, with a value about 80.04%. Increasing thermal jump effect coefficient, normalized temperature reduces while with increase in mass jump effect coefficient, fuel conversion decreases and surface mole fraction increases.