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<br />>f <br />k~ <br />l <br />aoa <br />-y <br />v, <br />A~t'11E0 NTORAULICf IN ENGINEERING <br />The corresponding «ntral angle is given approximately by <br />Iu S Arc s•II <br />tan B B~tan Q, 6-66 <br />Thin is also the deflection -ngle Gom the flow direction at A W that at D, <br />and so caa ba uaed in Fig, 5-20 W ob4in the maxmum surface elevation <br />alottg the wall ere D. <br />It often is suR'iciently aeeurate also to aeaume flat the maamum depth <br />at S u actually looted at B', u defined by the wme angle Bt. TI ehu u <br />assumed, rhea it sera ba fuRher inferred flat the point F and Q, wbete new <br />rtfleMion poiaL occur, ate defined by • xotnl angb 28„ the mrt pair by <br />SBt, etc. <br />Tha diatanee between sucamive point of maximum depth is thereforo <br />defined by as angle 28,, sad the same for succerive point of minimum <br />depth, point of maximum and minimum oaurring alternately oa opposi4 <br />sides of the channel. <br />Thu ware pattern, in effect, is superimposed on the equilibrium auper- <br />elevation that the surface would assume because of centrifugal foeces. Thin <br />aupetelevation (e:teas of outer depth over inner depth) is given by Eq. <br />(6-30J v FrB/p R. fe is found experimentally that the actual mas;mum rise <br />atta%aed oa the outer wall is about twice the equilibrium rise. Thus the <br />diaturbaooe pattern aatillating about the equilibrium depth has a wave <br />length of 2B, and ampGeude of NB/2pR (see Fig. 6-28). . <br />This diatuebanos pattern oontinos into the downstream tattgattt beyottd <br />~ ~_ <br />tech <br />Howe~- <br />becaw_ <br />ante u. <br />bend. <br />Pha°° , <br />Ttu <br />over tF <br />and u <br />interfe <br />Th. <br />ehann~ <br />particl <br />msde~, <br />Lhe flo <br />Ice an <br />the w~ <br />Coi <br />fy/p!i <br />Eq. (S <br />the in <br />spiral <br />push <br />aurfa~ <br />The c <br />whn <br />is r. <br />d'uu <br />A <br />can <br />then <br />whs.. <br />~8~ <br />Rp i71. Rapld Row In o~nad d~annal. <br />