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The computation of surface fluxes by Monin-Obukhov similarity theory with different linear/non-linear similarity functions for non-dimensional wind and temperature profiles becomes limited to specific ranges of z = z/L (where z is the height above ground and L is the Obukhov length) and bulk Richardson number (Ri B ) under very stable conditions. A systematic mathematical analysis is carried out to estimate the upper bounds of z and Ri B for the extent of applicability of different non-lineardoi:10.1098/rspa.2010.0220 fatcat:stmz2dihujezjn6yoajap37txm