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In the last quarter, we focused on steady, fully developed, gravity-driven flows of identical, smooth spheres down bumpy inclines, with flow depths greater than one particle diameter, solid fraction profiles everywhere less than .65, and dimensionless granular temperature T(y={beta}) at the top between 0 and 10. For prescribed boundary bumpiness (r=l and {delta}=.414), restitution coefficients of the boundary (e{sub w}=.5) and the flow particles (e=.5), and angles of inclination ({phi}0=25.5{degrees}, 27.505{degrees}, 28{degrees} and 34{degrees}), we determined what appeared to be complete range of T(y={beta}) (within 0<Ty={beta}{le}10) for which such flows can be maintained. For the two lower inclinations ({phi}=25.5{degrees} and 27.505{degrees}), we found that there was a nonzero minimum and a finite maximum flow rate between which steady, fully developed flows can be maintained. However, for the two upper inclinations ({phi}=28{degrees} and 34{degrees}), although there was a nonzero minimum flow rate for each, it appeared that there was no maximum flow rate that limited the occurrence of steady, fully developed flows. In this quarter, we consider in greater detail the same parameter values (r=l, {delta}=.414, and e=e{sub w}=.5) and focus on inclinations near the apparent transition from the those or which there exists a maximum flow rate to the inclinations,for which there appeared to be no such maximum. Using careful numerical computations, we demonstrate that the transition is real and we determine the angle at which it occurs. We have devoted the time to these issues because the existence of cases in which there are no maximum flow rates that limit the occurrence of steady flows may be of great practical value when it is necessary to steadily transport extremely high volumes of granular materials