Question

A sluice gate in a 3.0 m wide rectangular, horizontal, channel release a discharge of 18.0 cms. The gate opening is 0.67 m and the coefficient of contraction can be assumed to be 0.6. Examine the type of hydraulic jump formed when the tailwater is (1) 3.60 m (2) 5.00 m and (3) 4.09m.

Answer 1

Dragm Sluice Gate Conjucate Dept of Y of Couta chion. ningzo 67m bischorge: : 18 m : Tail water Solufion Contracted {venacontracta Cexa o.6x o.67: o402 m Debh wid of reetongular chann el B 3m Froud No Discharge per unit width where Dep of fow Acceleration due to 707.0)xi8 887.9 As we know the formation of hydraulic that dering specific force remains Conatant Specific force Jump P M Con stant Yo P presAure force , Linear momentum forc Unit wt. ofw For rectangularchanal er M f..V

fA: By Q= AV 2. Y B 2 :1 2- 2 Now put in eg i 2. 2 2. Y2 Y . 2 Y Fr, Y C 2. On Soluing Eq isvalid for horizontal frictionles channal Rectongudar Conjueate dep of Y tfend offer jump from hight 2 10. 14,10.14x0.402 4.0766m Y,4.077 m oso

(tail wate Depth 36 m 424077m Free Jum Repe led) m Sub merge Jump 2 Y 4.09 4.D77m Sbme Jumb 2707 m -hen Free Jumb at vena contvacto ->

Location of Jmp Corjucetc deph of y autes depd At venaconttracha Free Tum Vena Centrecta , Coe feftcient of contootip Free Jump (repelled

(3 RR HJ фиь эвлoшgs