Slip/jump boundary conditions for rarefied reacting/non-reacting multi-component gaseous flows

General concentration-jump, velocity-slip, and temperature-jump conditions on solid surfaces in a rarefied multi-component gas flow are developed using the kinetic theory of gases. The surface is allowed to be catalytic and hence some or all of the species may take part in surface reactions. The presented model provides general boundary conditions which can be simplified according to the problem under consideration. In some limiting cases, the results of the current work are compared to the previously available and widely used boundary conditions. The details of the mathematical procedure are also provided to give a better insight about the physical importance of each term in the slip/jump boundary conditions. Also the disagreements between previously reported results are investigated to arrive at the most proper expressions for the slip/jump boundary conditions. The temperature-jump boundary condition is also modified to handle polyatomic gas flows unlike previously reported studies which were mostly concerned with monatomic gases.