Dispersion in Presence of Slip and Chemical Reactions in Porous-Wall Tube Flow

This paper deals with the problem of studying the effect of tangential velocity slip on the concentration profiles of a solute which is convectively diffusing and simultaneously undergoing irreversible, first order homogeneous and heterogeneous chemical reactions in a porous wall tube, under isothermal laminar flow conditions. It is shown that the presence of velocity slip at the porous wall induces an increase in the concentration of solute across the entirecross-section of the tube while an increase in the rates of chemical reactions is found to reduce the concentration under both slip and no-slip boundary conditions. Accurate eigen values, eigen functions and the concentration profiles are determined for the cases when slip or no-slip boundary condition holds at the wall