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Class26_Ex2 - In the spillway flow of Fig P3.176 the flow...

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Unformatted text preview: In the spillway flow of Fig. P3.176, the flow is assumed uniform and hydrostatic a1 sections 1 and 2. Iflosses are neglected, compute (a) V2 and (b) the force per unit width of the water on the spillway. = P3.176 3.176 *In the spillway flow of Fig. P1176. the flow is assumed uniform and hydrostatic at sections I and 2. If losses are neglected, compute (a) V2 and (b) the force per unit width of the water on the spillway. Solution: For mass conservation, v2 = v,h,/h2 =§£vl =7.14v, 0.7 Fig. P3.176 (a) Now apply Bernoulli from I to 2: v2 V2 V3 2 fl+—'~t~hl-~~32—+mi+hz; or: 0+—'—+5.0=0+M)—+0J r 2g 7 2g 2g 2g 2(9.81)(5.0—0.7) - Solve for V? =, , or v, =1.30 3, v2 =7.14v, =9.2s 33 Ana; [(7.14)2 -1] s s (b) To find the force on the spillway (F <—), put a CV around sections 1 and 2 to obtain; 213x =-—F+—:-hl2 —§h§ = rh(V2 — V, ), or, using the given data. F = %(97'90)[(5.0)2 — (0.7)2] —998[(] .30)(5.0)](9.28 —1.30) a 68300 5 Arts. (b) In ...
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