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PARALLEL JETS EMERGING FROM MULTIPLE GATES: DISTINGUISHING FLOW CONDITION By Mohammad Bijankhan Salah Kouchakzadeh Gilles Belaud 5th International Junior Researcher and Engineer Workshop on Hydraulic Structures Spa, Belgium, 28-30 August 2014 1

PARALLEL JETS EMERGING FROM MULTIPLE GATES: …

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PARALLEL JETS EMERGING FROM MULTIPLE GATES: DISTINGUISHING

FLOW CONDITION

By

Mohammad Bijankhan

Salah Kouchakzadeh

Gilles Belaud

5th International Junior Researcher and Engineer Workshop

on Hydraulic Structures

Spa, Belgium, 28-30 August 2014

1

INTRODUCTION

Gates are widely used in irrigation networks in order

to adjust the upstream depth and discharge or to

measure the flow rate.

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“Omidieh” Irrigation network located at the

south part of Iran

INTRODUCTION

For a single gate the classical hydraulic jump can

be used to distinguish the flow condition (Lin et

al. 2002):

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221

1

1 1 8 12

y Fry

INTRODUCTION

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INTRODUCTION

Wide channels

Parallel gates

It is suggested to keep all gates under free flow

condition (Clemmens 2004) 5

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“Omidieh” Irrigation network located at the

south part of Iran

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Three gates installed in parallel located in Pakistan

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Three radial gates and a weir installel in parallel, Salt

River project (Clemmens 2004)

INTRODUCTION

Practical gats’ configurations:

1. gates with different openings;

2. some gates are in operation and others are

closed.

3. The case for which the gate openings are the

same is less practical (Clemmens 2004).

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Practical gats’ configurations:

1.

2. gates are in operation and others are

3. case for which the gate openings are the

Clemmens 2004).

Practical gats’ configurations:

gates with different

some gates are in operation and others are

closed.

The case for which the gate openings are the

same is less

Practical gats’ configurations:

openings;

gates are in operation and others are

case for which the gate openings are the

Clemmens 2004).

Practical gats’ configurations:

with different openings;

gates are in operation and others are

case for which the gate openings are the

same is less practical (Clemmens 2004).

“SefidRud” Located in the North of Iran

OBJECTIVES

Applicability of the single gate distinguishing

condition to two parallel gates

Interaction between jets

Deriving the distinguishing condition curve for

two parallel gates

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METHODOLOGY

Experimentation

Employing momentum balance

Numerical modeling using OpenFoam (Ongoing

research)

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EXPERIMENTATIONS

University of Tehran

Two gates with different

openings.

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SupAgro, Montpellier

One closed gate;

ADV measurements.

wR/wL=1

wR/wL=1.4

wR/wL=1.88

wR/wL=3.35

Left

Gate

Right

Gate

CLASSICAL HYDRAULIC JUMP LIMITATION

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Left Control Volume

Right Control Volume

Left

gate

Right

gate

Classical Hydraulic Jump

Two jets with different Froude Numbers

Neglecting the interaction between jets

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Flow

CLASSICAL HYDRAULIC JUMP LIMITATION

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CLASSICAL HYDRAULIC JUMP LIMITATION

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CLASSICAL HYDRAULIC JUMP LIMITATION

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Right Control Volume

Closed

gate

Right

gate

Flow

HYDRAULIC JUMP DUE TO PARALLEL JETS

Hydraulic jump features:

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Right

Gate

Left

Gate

HYDRAULIC JUMP DUE TO PARALLEL JETS

Hydraulic jump features:

(a) Semi classical hydraulic jump

(b) Oblique hydraulic jump

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OBLIQUE HYDRAULIC JUMP

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2.5 1.03

DERIVING THE DISTINGUISHING

CONDITION CURVE

Momentum balance applied between the

supercritical jets and tailwater sections

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2 22 2 2 21, 1, 2

21, 1, 22 2 2

L L L RL R

L R

b y b yQ Q Q BygA gA gA

Control

Volume

Left gate

Right gate

DERIVING THE DISTINGUISHING

CONDITION CURVE

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W

W

Left Gate

Right Gate

W

wR=W(1+) and wL=W(1) 2

R Lw wW

=0 (Single gate)

=1 (One closed gate)

R L

R L

w ww w

RwLw

DERIVING THE DISTINGUISHING

CONDITION CURVE

Neglecting the approach velocity and head loss

energy formula would be:

Neglecting 2 (First order Taylor development),

and 2=1

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1 cy C W

( ) 1 ( ) 0 1 ( )2 ( )L R L R L RQ by g y y

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( ) 1 8 12

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2 01

1

2 1yFry

DERIVING THE DISTINGUISHING

CONDITION CURVE

22

2( ) 1 0.29 0.42 0 0.54J

( ) 0.7 1J

DERIVING THE DISTINGUISHING

CONDITION CURVE

23 221

1

( ) 1 8 12

y J Fry

DIFFICULTIES AND FURTHER

DEVELOPMENTS

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Where should be positioned as the tailwater section?

1- A section far downstream the gate

Negligible value of the momentum correction factor

Is it possible to neglect friction forces?

How far it should be?

2- A section just after the jump

Considerable value of the momentum correction factor

Control

Volume

Left gate

Right gate

Control

Volume

Left gate

Right gate

DIFFICULTIES AND FURTHER

DEVELOPMENTS

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The submergence threshold also depends on the

measuring location at the tailwater section

CONCLUSIONS

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1- Classical hydraulic jump definition can not be

used for the parallel gates;

2- For the parallel jets it is necessary to consider

the jet interactions;

3- Momentum balance can be used to formulate the

submergence threshold;

4- Further studies is modeling the jet interactions

with OpenFoam to find the necessary corrections

and to answer the question about the tailwater

position.

Thank you for your attention

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