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Chapter 8:
Hydraulic jump and its analysis
1
Hydraulics
Er. Binu Karki
Lecturer
Hydraulic jump
Hydraulic jump formed on a spillway
model for the Karna-fuli Dam in
Bangladesh.
Rapid flow and hydraulic jump on
a dam
Characteristics of R.V.F
• A rapid variation of flow depth and velocity
occurs in short reach of channel
• R.V.F occurs in small reach so friction force is
quite small compared to other forces and
may be neglected.
• Velocity coefficient, alpha and momentum
coefficients, beta are greater than unity and
difficult to ascertain accurately
• In R.V.F, the flow pattern and velocity
distribution is complicated
Determination of alpha and beta
Hydraulics Jump or Standing Wave
 Hydraulics jump is local non-
uniform flow phenomenon
resulting from the change in flow
from super critical to sub critical.
In Hydraulic jump there is
discontinuity in the surface
characterized by a steep upward
slope of the profile accompanied by
lot of turbulence and eddies. The
eddies cause energy loss.
The depth before and after the
hydraulic jump are known as
conjugate depths or sequent
depths.
Video!!!
Specific Energy and specific force
curves for Hydraulic Jump
Uses of Hydraulic Jump/Practical
applications
Classification of Hydraulic jump
1.Based on Froude number
Classification of hydraulic
jumps:
(a) Fr =1.0 to 1.7: undular
jumps;
(b) Fr =1.7 to 2.5: weakjump;
(c) Fr =2.5 to 4.5: oscillating
jump;
(d) Fr =4.5 to 9.0: steadyjump;
2.Based on Tail water depth
• The depth downstream of a hydraulic structure is called
tailwater depth.
yt = tailwater depth, ya = Depth at the vena-contracta, y2 =
sequent depth to ya
1) Free jump: The jump with yt equal to or less than y2 is
called free jump. When yt = y2, a free jump will form at the
vena-contracta.
2)Repelled jump:
• If yt < y2, the jump is repelled downstream of
the vena-contracta through an M3 curve (or
may be H3). The depth at the toe of the jump
is larger than ya. Such a jump is called a
repelled jump.
3)Submerged jump:
• If yt > y2, the jump is no longer free but gets
drowned out. Such a jump is called
drowned jump or submerged jump. The loss
of energy in a submerged jump is smaller
than that in a free jump
Jump Variables
• Conjugate depth=y1 and y2
• Height of jump(hj)=y2-y1
• Length of jump(Lj)
It is the distance measured from front face of hump to a
point on surface immediately downstream of roller.
Experimentally,
For rectangular channel, Lj=(5 to 7 )*hj=6hj
• Efficiency of jump = E2/E1 where E2 = specific energy
after jump and E1 = specific energy before jump
• Power dissipated by the jump=
Equation for Conjugate Depths
Assumptions
Equation for Conjugate Depths
Hydraulic Jump in a retangular channel
Equation for Conjugate Depths
Equation for Conjugate Depths
Multiplying numerator and
denominator by 4,we get
Since,
Energy loss in a jump
?? SOLVE

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Chapter 8:Hydraulic Jump and its characterstics

  • 1. Chapter 8: Hydraulic jump and its analysis 1 Hydraulics Er. Binu Karki Lecturer
  • 2. Hydraulic jump Hydraulic jump formed on a spillway model for the Karna-fuli Dam in Bangladesh. Rapid flow and hydraulic jump on a dam
  • 3. Characteristics of R.V.F • A rapid variation of flow depth and velocity occurs in short reach of channel • R.V.F occurs in small reach so friction force is quite small compared to other forces and may be neglected. • Velocity coefficient, alpha and momentum coefficients, beta are greater than unity and difficult to ascertain accurately • In R.V.F, the flow pattern and velocity distribution is complicated
  • 5. Hydraulics Jump or Standing Wave  Hydraulics jump is local non- uniform flow phenomenon resulting from the change in flow from super critical to sub critical. In Hydraulic jump there is discontinuity in the surface characterized by a steep upward slope of the profile accompanied by lot of turbulence and eddies. The eddies cause energy loss. The depth before and after the hydraulic jump are known as conjugate depths or sequent depths.
  • 7. Specific Energy and specific force curves for Hydraulic Jump
  • 8. Uses of Hydraulic Jump/Practical applications
  • 9. Classification of Hydraulic jump 1.Based on Froude number Classification of hydraulic jumps: (a) Fr =1.0 to 1.7: undular jumps; (b) Fr =1.7 to 2.5: weakjump; (c) Fr =2.5 to 4.5: oscillating jump; (d) Fr =4.5 to 9.0: steadyjump;
  • 10.
  • 11.
  • 12. 2.Based on Tail water depth • The depth downstream of a hydraulic structure is called tailwater depth. yt = tailwater depth, ya = Depth at the vena-contracta, y2 = sequent depth to ya 1) Free jump: The jump with yt equal to or less than y2 is called free jump. When yt = y2, a free jump will form at the vena-contracta.
  • 13. 2)Repelled jump: • If yt < y2, the jump is repelled downstream of the vena-contracta through an M3 curve (or may be H3). The depth at the toe of the jump is larger than ya. Such a jump is called a repelled jump.
  • 14. 3)Submerged jump: • If yt > y2, the jump is no longer free but gets drowned out. Such a jump is called drowned jump or submerged jump. The loss of energy in a submerged jump is smaller than that in a free jump
  • 15. Jump Variables • Conjugate depth=y1 and y2 • Height of jump(hj)=y2-y1 • Length of jump(Lj) It is the distance measured from front face of hump to a point on surface immediately downstream of roller. Experimentally, For rectangular channel, Lj=(5 to 7 )*hj=6hj • Efficiency of jump = E2/E1 where E2 = specific energy after jump and E1 = specific energy before jump • Power dissipated by the jump=
  • 18. Equation for Conjugate Depths Hydraulic Jump in a retangular channel
  • 20. Equation for Conjugate Depths Multiplying numerator and denominator by 4,we get Since,
  • 21. Energy loss in a jump ?? SOLVE