Based on measurements of the specific dendrite surface area (S v ), fraction of interdendritic liquid (), and primary dendrite spacing ( 1 ) on transverse sections in a range of directionally solidified hypoeutectic Pb-Sb and Pb-Sn alloys that were grown at thermal gradients varying from 10 to 197 K cm Ϫ1 and growth speeds ranging from 2 to 157 m s Ϫ1 , it is observed that S v ϭ 1 Ϫ1 S* Ϫ0.33 (3.38 Ϫ 3.29 ϩ 8.85 2 ), where S* ϭ D l G eff /V m 1 C o (k Ϫ 1)/k, with D l being the solutal diffusivity in the melt, G eff being the effective thermal gradient, V being the growth speed, m l being the liquidus slope, C o being the solute content of the melt, and k being the solute partition coefficient. Use of this relationship in defining the mushy-zone permeability yields an analytical Rayleigh number that can be used to describe the extent of interdendritic convection during directional solidification. An increasing Rayleigh number shows a strong correlation with the experimentally observed reduction in the primary dendrite spacing as compared with those predicted theoretically in the absence of convection.