Abstract: This specification discloses a drilling string, including drill pipe, drill collar, or sub for use in drilling operations, comprising at least one upset that has an outer surface having a plurality of grooves, wherein at least one of the grooves comprise a curved leading edge that is generally convex, a leading side, a trough having a generally convex curvature, a trailing side that extends in a substantially radial direction, and a trailing edge. The groove configuration results in improved transport of drilling fluids and cuttings and is especially beneficial for use in directional drilling operations.