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eo:> ~ ~ e< x CONTENTS c CHAPTER IV-WEIRS SLOPING DOWNSTREAM ANALYSIS OF EXPERIMENTAL RESULTS Sectlem Page 24 VVerr shapes tested_______________~____________________________ 53 25 Compilation of nappe-shape results _ _ __ _ _ _ _ __ _ __ _ _ __ _ _ __ _ __ _ _ __ _ _ 53 26 Bazin's re!mlts on 2:1 and 4:1 sloping weirs_U__U__h__UU_______ 57 27 Relation of Eta velocity of approach_________u_uu____uh____ 57 28 Discharge coefficients. - - - - - - - - _ - - _ _ - ~ _ __ _ _ __ _ _ _ - _ _ _ - _ _ _ _ _ _ _ _ _ _ _ 83 29 Reduction of pressure on upstream face of 1:3,2:3, and 3:3 sloping weirs___ __ __ _ __ __ - _ - - - - __ - _ _ - __ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ _ _ _ _ _ _ __ ___ 83 APPLICATION OF EXPERIMENTAL RESULTS 30 Design of overflow section with sloping upstream 18C8_______.:______ 88 31 Design of overflow section with shallow approach channel. _ _ _ _ _ .___ 91 32 Design of overflow section with shallow approach channel and gates on crest______;_____________________________________________ 96 CHAPTER V-WEIRS WITH UPSTREAM OVERHANG AND WEIRS WITH UPSTREAM OFFSETS AND RISERS ANALYSIS OF EXPERIMENTAL RESULTS 33 Weir shapes tested_u_ _ Uu _____ u _ _u _ _ _ _u Uh u __ U ___ _h ___ 100 34 Analysis of nappe-shape results, type C weiL___nUh__U_hU_n 100 35 Analysis of nappe-shape results, type D weir_uhn__u__u__u_n 103 36 Flow characteristics of overhang and offset-type weirs_u__u_u____ 125 37 Relation of E to velocity of approach _ u h _ _ h _ U _ U _ _ _ h _ _ _ _ u _ _ 127 38 Discharge coefficients_ _ _ _ _ n __ u _ _ _ _ _ _ __ _ _ u _ _ _ _ __ _ _ _ _ u_ _ __ ___ 130 39 Pressures on upstream face of overhang and offset weirs_ _ _ _ _ _ _ _ _ _ _ _ 132 APPLICATION OF EXPERIMENTAL RESULTS 40 Design of overflow dam section with overhang on upstream face__ _ _ _ 135 41 Design of overflow dam section with offset in upstream face_____uh 138 CHAPTER VI-VERIFICATION OF EXPERIMENTAL DATA PRESSURES ON DOWNSTREAM FACE OF OVERFLOW SECTIONS AND DISCHARGE COEFFICIENTS 42 Pressures on overflow faces____h__n_h___n_____nn__h_n___ 140 43 Discharge coefficients_ _ ___ _h_ ____n __ U ____ __ h_ _ __ __ _ _ _____ __ 144 CHAPTER VII-SUBMERGED FLOW STUDIES DECREASE IN COEFFICIENT OF DISCHARGE PRODUCED BY SUBMERGED FLOW 44 IntroductioD_____;____________________________________________ 146 45 Summary of program_ _ ________________________________________ 146 46 Test equipmenL _ _ _ _ _ _ __ u _ _ _ __ _ _ __ _ __ _ __ U _ __ _ n _ _ __ _ _ __ U __ _ 147 47 Test procedure_ __ ___ _ _ _ _ __ _ _ _ _ _ _ _ _ _ __ _ _ _ __ _ _ _ __ _ __ _ U _ __ _ _ __ _~ 147 48 Test results on coefficient of dischargeu__h_n__u__u___u_u___ 151 49 Test results on pressuresU__h_U________u______uuu__n____~ 157 50 Application of results______h___________u____~_____________n_ 157