Question

16.10 A sluice across a channel om wide discharges a stream 1.2 m deep. What will be the tow if the upstream depth is om? The conditions downstream cause an hydraulic jump to occur at a place where concrete blocks have been placed in the bed. What will be the force on the blocks if the downstream depth is 3.06 m? 171 3 ms 1196 KNI

Answer 1

Apply Bernoulli's egn @ ups & des side of : sluice gate - 2 + V +21 = 2 + V2 + Z2 . & exposed to be { Both sides hoz, atmosphere 61 m V, Z1 = V2 Z2 O + 1.2 I using continuity Egn- =) V2 = V1 (2422) in nguo - wyrast 12 * 6-12 = tem ft + CELJ) 48 = (1+(4:53) = v= 1.98 m/s 6-1.2- i Discharge = Q = V, z, b = 1.98* 6x6 1 =71.3 m/

Using momentum Egn - PIAI–Ps A2 Egerte = P Q (V2-VI) PIAI Žr nixb = {x9.8146*x6 = 1059.48 KN P2 A2 = I shaxb = 49.81 * 1.2°x6 = 42137 kw V = VI (21) = 1.98 (1.2) = 9,9 => 1059.48 – 42137 - Fante = 1000x713 (9.9-1.98) Figute = 446.71 kN