ON SOME EXPONENTIALLY SMALL TERMS ARISING IN FLOW THROUGH A POROUS PIPE

Abstract

SUMMARY A problem on flow through a porous channel is tackled by including exponentially small terms in the method of inner and outer expansions. It is found that these exponentially small terms, as well as producing more accurate analytical results, correctly predict two solutions where previously only one could be predicted and further predict the range of values for which there are no numerical solutions.