Question

solve all 4 parts please

Water discharging into a 12-m-wide rectangular horizontal channel from a sluice gate is observed to have undergone a hydraulic jump. The flow depth and velocity before the jump are 0.9 m and 9 m/s, respectively. Determine (i) Froude number before the hydraulic jump. Is it subcritical, critical, or supercritical flow? (4 points) (ii) the flow depth and the Froude number after the jump. Is it subcritical, critical, or supercritical flow? (9 points) (iii) the head loss. (7 points) (iv) the dissipation ratio. (5 points)

Answer 1

Solution : Froude Number (50) = Co alle ry where v= g= gravity velocity = amis due to acceleration = 9.81m/32 y = flow depth before hydraulic jump= 0.9m fo= 9 = 3:028 9.81x0og fo = 3.028 > So, fo >1 .. How is supercritical ( How depth Yz after hydraulic jump given by js = ''(J17 816).? 1 (TT+ oog (57435 -0.9 1+813.028)2-1 2-1) 2 = 0 - 1) 2 = 3.430m CS Scanned with CamScanner

(fol2 i-e froude no! after hydraulic jump V Jgyż - 9 = 1:55 v 9-81X3.930 For) >1 flow is super cutical (ii) Head loss hi= (42–00) = (3-430 - 09). 49, 42 4X0.94 3.430 h = = 0:518 m-kg/kg of water (1) Energy dimpanon P = p go hi logo xa x9.87X (AU) x 0.578 logo Io 59-81X , xb X0-518 =9-81 X 0.9 X 12X0.578 P = S 4.88 kW Height of hydraulic jump yz ye = 3^430 -019=8.53 m CS Scanned with CamScanner