Apparent Sherwood Number in Mass Transfer with Wall Transpiration

Abstract

This problem regards the apparent Sherwood number in simultaneous diffusive and convective mass transfer from or into a transpiring wall. This is the Sherwood number that would explain the observed overall mass flux from or into the wall if there were no transpiration, i.e. no convective contribution to mass transport. Using only elementary definitions of diffusive and convective mass fluxes, a complete classification of the possible cases is presented and a synthetic map is built representing the apparent Sherwood number as a function of two dimensionless parameters, named “transpiration” and “flux” numbers.