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A. J. Peterka baffle piers basin length Bradley and A. J. bucket invert Bureau of Reclamation cavitation chute blocks Column conjugate depth critical depth curve DESIGN OF STILLING dimensions downstream effect elevation end sill energy dissipation Engr equation erosion factor of safety feet per second flip bucket flume Froude number gate hj/R horizontal apron HYDRAULIC DESIGN hydraulic jump J. N. Bradley jump length length of basin length of jump maximum discharge McNary Dam model studies model tests obtained outlet Paper percent performance piezometers pipe plotted Proc prototype range ratio recommended reduced riprap roller action row of baffle scour shown in Fig shown on Figure sloping apron sluices spillway stilling action stilling basin structure surge Table tail water depth tailwater depth training walls U. S. Bureau underpass upstream values velocity water surface wave height wave reduction wave suppressor width writers