(N)CEWB222 Chapter 5 - Rapid Varied Flow

7/24/2019 (N)CEWB222 Chapter 5 - Rapid Varied Flow

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CHAPTER 5

RAPID VARIED FLOW

Dr Mohd Hafiz bin Zawawi


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HYDRAULIC JUMP

INTRODUCTION

Figure 4.1: Flow inside pipe


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INTRODUCTION


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INTRODUCTION

Figure 4.2: Hydraulic jump in the hydraulic laboratory


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INTRODUCTION

Figure 4.3: Hydraulic jump at the spillway toe (Itaipu

Dam, Brazil)


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INTRODUCTION

Figure 4.4: Hydraulic jump at the downstream of sluice

gate (Harran cannal, Turkey)


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INTRODUCTION

Figure 4.5: Waves that hit sea wall in Depoe Bay (Oregon U.S)


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INTRODUCTION

Figure 4.6: Surges waves (Tangjiasan, China)


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USAGE OF HYDRAULIC JUMP


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TYPES OF THE JUMP


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TYPES OF THE JUMP

Fr = 1.6


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MOMENTUM EQUATION


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MOMENTUM EQUATION


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MOMENTUM EQUATION


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MINIMUM FLOW FORCE & CRITICAL DEPTH

MOMENTUM EQUATION


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FLOW FORCE ON RECTANGULAR SECTION

MOMENTUM EQUATION


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FLOW FORCE ON RECTANGULAR SECTION

MOMENTUM EQUATION


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Using the force equation draw the specificforce graph if the hyraulic jump wasoccured inside a rectangular channel andthe discharge per unit width is 25

ft3/s.ft..

SOLUTION

Given:- Rectangular channelq = 25 ft3/s.ft

Plot y vs F ???

EXAMPLE 4 1


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SOLUTION


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JUMP EQUATION - RECTANGULAR SECTION

MOMENTUM EQUATION


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MOMENTUM EQUATION

4.2 ..


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MOMENTUM EQUATION

4.3 ..


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ENERGY LOSS

Figure 4.7


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ENERGY LOSS

. 4.4

. 4.5


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POWER LOSS

. 4.6


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HEIGHT OF THE JUMP

. 4.7


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LENGTH OF THE JUMP

. 4.8

. 4.9


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LOCATION OF THE JUMP

IF THERE IS CHANGING OF SLOPE

Figure 4.9


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Figure 4.10


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PROCEDURES OF CALCULATION


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. 4.10


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And,

where,


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If 12 m3/sec of water per meter of width

flows down a spillway onto a horizontal

floor and the velocity is 20 m/sec,

determine (a) the downstream depth

required to cause a hydraulic jump, (b)

the loss in energy head, and (c) the

losses in power by the jump per meter ofwidth.


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kW

mmmNlossesQmPowerP

mLossesE

mY

1659

)1.14sec)(/12)(/9806()(/

1.14)7.6)(6.0(4

)6.07.6(

7.6806.9

)6.0)(20(23.03.0

33

3

22

2


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(N)CEWB222 Chapter 5 - Rapid Varied Flow