CVE 372 HYDROMECHANICS OPEN CHANNEL FLOW II
|
|
|
- Kathleen Mosley
- 5 years ago
- Views:
Transcription
1 CVE 372 HYDROMECHANICS OPEN CHANNEL FLOW II Dr. Bertuğ Akıntuğ Department of Civil Engineering Middle East Technical University Northern Cyprus Campus CVE 372 Hydromechanics 1/68
2 Overview 3.4 Rapidly Varied Flow Specific Force and Conjugate Depth Hydraulic Jump 3.5 Gradually Varied Flow General Equation of Gradually Varied Flow Types of Slopes Longitudinal Flow Profiles 3.6 Design of Open Channels Hydraulic Efficiency of Cross-sections Design of Nonerodible Channels Design of Erodible Channels CVE 372 Hydromechanics 2/68
3 Rapidly Varied Flow Specific Force and Conjugate Depth Specific force for any channel section is given by Specific Force F = ya + 2 Q ga CVE 372 Hydromechanics 3/68
4 Rapidly Varied Flow Specific Force and Conjugate Depth F = ya + 2 Q ga Specific Energy Curve Channel Cross-Section Specific Force Curve At Critical Depth: df dy = 0, da Q T = T, F =1, and r = 1, 3 dy ga 2 CVE 372 Hydromechanics 4/68
5 Rapidly Varied Flow Specific Force and Conjugate Depth Specific force becomes minimum when the flow is critical. F = ya + 2 Q ga Lower limb AC corresponds to supercritical flow. Upper limb BC corresponds to subcritical flow. For a given F and Q, there are two possible flow regimes represented by the depths y 1 and y 2 which are called conjugate or sequent depths. For rectangular channels, the specific force can be written as specific force per unit width as F b = 1 2 y q gy CVE 372 Hydromechanics 5/68
6 Rapidly Varied Flow Hydraulic Jump Hydraulic jump is a rapidly varied flow in which flow changes abruptly from supercritical flow to a subcritical flow accompanied by considerable turbulence and energy loss. F = F E E + 1 = 2 h L CVE 372 Hydromechanics 6/68 y 1 y A Q ga 1 1 = y 2 2 A Q ga For rectangular channels: y ( ) 1+ 8F = 2 r1 1 2 h L = ( y y ) 2 4y y
7 Rapidly Varied Flow Hydraulic Jump For a simple jump, since F 1 =F 2, y 1 and y 2 are conjugate (sequent) depths. CVE 372 Hydromechanics 7/68
8 Rapidly Varied Flow Hydraulic Jump Practical Applications of Hydraulic Jump To dissipate energy To recover head or rise the water level To increase weight on apron To mix chemicals used for water purification To aerate water Types of Hydraulic Jumps: CVE 372 Hydromechanics 8/68
9 3.4.2 Hydraulic Jump Rapidly Varied Flow CVE 372 Hydromechanics 9/68
10 3.4.2 Hydraulic Jump Rapidly Varied Flow CVE 372 Hydromechanics 10/68
11 3.4.2 Hydraulic Jump Rapidly Varied Flow CVE 372 Hydromechanics 11/68
12 Rapidly Varied Flow Hydraulic Jump Example 9: Determine the type of hydraulic jump for the information given in the figure below. T y 2 =1.5 m y 1 Q=? m 3 /s y 1 =0.8 m 1 (1) (2) CVE 372 Hydromechanics 12/68
13 Rapidly Varied Flow Hydraulic Jump Example 10: A hydraulic jump take place in a rectangular channel of 10 m wide. The initial depth and the velocity of the jump are 0.6 m and m/s, respectively. If the depth of flow on the step is 2.44 m, compute a) the step height, z b) the force on the step. y 3 =2.44 m b = 10 m F b V 1 =10.67 m/s y 1 =0.6 m z (1) (2) (3) CVE 372 Hydromechanics 13/68
14 Rapidly Varied Flow Hydraulic Jump Example 11: Water is flowing in a rectangular channel of width of 1 m shown in the figure below. a) compute y 2, z, and y 4. b) express the alternative and conjugate depths c) find the force exerted by the flow on the step by writing the momentum equations between section (1) and (3) and (1) and (2), and discuss the reason for different answer. y 1 =1.5 m y 2 =? y 4 =? z=? (1) (2) (3) y 3 =0.3 m (4) b = 1m CVE 372 Hydromechanics 14/68
15 Overview 3.4 Rapidly Varied Flow Specific Force and Conjugate Depth Hydraulic Jump 3.5 Gradually Varied Flow General Equation of Gradually Varied Flow Types of Slopes Longitudinal Flow Profiles 3.6 Design of Open Channels Hydraulic Efficiency of Cross-sections Design of Nonerodible Channels Design of Erodible Channels CVE 372 Hydromechanics 15/68
16 Gradually Varied Flow General Equation of Gradually Varied Flow Only y, z, and v changes along x Q = 0 x (any property) t = 0 CVE 372 Hydromechanics 16/68
17 Gradually Varied Flow General Equation of Gradually Varied Flow CVE 372 Hydromechanics 17/68
18 Gradually Varied Flow General Equation of Gradually Varied Flow CVE 372 Hydromechanics 18/68
19 Gradually Varied Flow Types of Slopes CVE 372 Hydromechanics 19/68
20 Gradually Varied Flow Types of Slopes CVE 372 Hydromechanics 20/68
21 Gradually Varied Flow Longitudinal Flow Profile CVE 372 Hydromechanics 21/68
22 Gradually Varied Flow Longitudinal Flow Profile CVE 372 Hydromechanics 22/68
23 Gradually Varied Flow Longitudinal Flow Profile CVE 372 Hydromechanics 23/68
24 Gradually Varied Flow Longitudinal Flow Profile CVE 372 Hydromechanics 24/68
25 Gradually Varied Flow Longitudinal Flow Profile CVE 372 Hydromechanics 25/68
26 Gradually Varied Flow Longitudinal Flow Profile CVE 372 Hydromechanics 26/68
27 Gradually Varied Flow Longitudinal Flow Profile CVE 372 Hydromechanics 27/68
28 Gradually Varied Flow Longitudinal Flow Profile CVE 372 Hydromechanics 28/68
29 Gradually Varied Flow Longitudinal Flow Profile Solution of GVF Equations 1. Direct Integration Method 2. Graphical Integration Method 3. Numerical Step Methods 3.1. The Direct Step Method 3.2. The Standard Step Method CVE 372 Hydromechanics 29/68
30 Gradually Varied Flow Longitudinal Flow Profile The Direct Step Method Consider a short channel reach of length x. Equating the total heads at section 1 and section 2 S 0 x + E1 = E2 + S f x CVE 372 Hydromechanics 30/68
31 Gradually Varied Flow Longitudinal Flow Profile The Direct Step Method CVE 372 Hydromechanics 31/68
32 Rapidly Varied Flow Longitudinal Flow Profile Example 12: Determine the water surface profile for the following rectangular channel with b = 3 mater, n=0.0125, and Q=10 m 3 /s S 0 = b = 3 m S 0 = CVE 372 Hydromechanics 32/68
33 Gradually Varied Flow Longitudinal Flow Profile Example 13: A straight prismatic irrigation channel has a trapezoidal cross-section with bottom width b = 6 m and equal side slopes of 2 horizontal and 1 vertical. The bottom slope and the Manning s roughness coefficient are S 0 = and n = 0.014, respectively. At a certain point regulation works produce a depth of 1.80 m in the channel when the discharge is 9.81 m 3 /s. Using the direct step method find the distance between y = 1.80 m and y= 1.50 m in three steps. CVE 372 Hydromechanics 33/68
34 Gradually Varied Flow Longitudinal Flow Profile Example 14: A reservoir is emptied through a sluice gate yielding a smallest depth of 0.40 m at vena-contracta. The channel bottom slope is S 0 = with n = 0.02 while q = m 3 /s/m. Determine the water depth at a point 60 m downstream (horizontally) of vena-contracta in two steps of equal distances by the standard step method. Assume a wide rectangular channel and neglect the eddy lossess. CVE 372 Hydromechanics 34/68
35 Overview 3.4 Rapidly Varied Flow Specific Force and Conjugate Depth Hydraulic Jump 3.5 Gradually Varied Flow General Equation of Gradually Varied Flow Types of Slopes Longitudinal Flow Profiles 3.6 Design of Open Channels Hydraulic Efficiency of Cross-sections Design of Nonerodible Channels Design of Erodible Channels CVE 372 Hydromechanics 35/68
36 Design of Open Channels 2. OPEN CHANNEL FLOW Hydraulic Efficiency of Cross-sections CVE 372 Hydromechanics 36/68
37 Design of Open Channels 2. OPEN CHANNEL FLOW Hydraulic Efficiency of Cross-sections Example 15: Between two open channel having rectangular and trapezoidal sections as shown, determine which section is hydraulically better. Assume both channels have the same roughness and slope. CVE 372 Hydromechanics 37/68
38 Design of Open Channels 2. OPEN CHANNEL FLOW Hydraulic Efficiency of Cross-sections CVE 372 Hydromechanics 38/68
39 Design of Open Channels 2. OPEN CHANNEL FLOW Hydraulic Efficiency of Cross-sections CVE 372 Hydromechanics 39/68
40 Design of Open Channels 2. OPEN CHANNEL FLOW Hydraulic Efficiency of Cross-sections CVE 372 Hydromechanics 40/68
41 Design of Open Channels 2. OPEN CHANNEL FLOW Hydraulic Efficiency of Cross-sections CVE 372 Hydromechanics 41/68
42 Design of Open Channels Hydraulic Efficiency of Cross-sections Recommended Channel Cross-sections CVE 372 Hydromechanics 42/68
43 Design of Open Channels Hydraulic Efficiency of Cross-sections Recommended Channel Cross-sections CVE 372 Hydromechanics 43/68
44 Design of Open Channels 2. OPEN CHANNEL FLOW Hydraulic Efficiency of Cross-sections CVE 372 Hydromechanics 44/68
45 Design of Open Channels 2. OPEN CHANNEL FLOW Hydraulic Efficiency of Cross-sections CVE 372 Hydromechanics 45/68
46 Design of Open Channels Design of Nonerodible Channels 2. OPEN CHANNEL FLOW CVE 372 Hydromechanics 46/68
47 Design of Open Channels Design of Nonerodible Channels 2. OPEN CHANNEL FLOW CVE 372 Hydromechanics 47/68
48 Design of Open Channels Design of Nonerodible Channels 2. OPEN CHANNEL FLOW CVE 372 Hydromechanics 48/68
49 Design of Open Channels Design of Nonerodible Channels 2. OPEN CHANNEL FLOW CVE 372 Hydromechanics 49/68
50 Design of Open Channels Design of Nonerodible Channels 2. OPEN CHANNEL FLOW CVE 372 Hydromechanics 50/68
51 Design of Open Channels Design of Nonerodible Channels 2. OPEN CHANNEL FLOW CVE 372 Hydromechanics 51/68
52 Design of Open Channels Design of Nonerodible Channels 2. OPEN CHANNEL FLOW CVE 372 Hydromechanics 52/68
53 Design of Open Channels 2. OPEN CHANNEL FLOW Design of Nonerodible Channels CVE 372 Hydromechanics 53/68
54 Design of Open Channels Design of Nonerodible Channels Example 16 A trapezoidal channel carrying 11.5 m 3 /s clear water is build with nonerodible (concrete) channel having a slope of and n= Proportion the section dimensions. Example 17 Design the channel given in Example 16 by using experience curve and take z=1.5. CVE 372 Hydromechanics 54/68
55 Design of Open Channels Design of Erodible Channels Channels used as irrigation and drainage canals, are unlined for cost reasons and they must be so proportioned as to permit neither silting nor scouring in objectionable quantity. There are two methods of approach to the proper design of erodible channels: Method of maximum permissible velocity Method of permissible tractive force CVE 372 Hydromechanics 55/68
56 Design of Open Channels Design of Erodible Channels Method of Maximum Permissible Triactive Force Average unit tractive force For a uniform flow the average unit tractive force acting on the wetted perimeter of the channel section: τ o = γrs o CVE 372 Hydromechanics 56/68
57 Design of Open Channels 2. OPEN CHANNEL FLOW Design of Erodible Channels Method of Maximum Permissible Triactive Force Unit tractive force A typical distribution of unit tractive force in a trapezoidal channel is shown below. Distribution of unit tractive force in a trapezoidal channel with b=4y CVE 372 Hydromechanics 57/68
58 Design of Open Channels Design of Erodible Channels Method of Maximum Permissible Tractive Force Maximum unit tractive force 2. OPEN CHANNEL FLOW Following figures show the maximum unit tractive forces on the sides and bottom of various channel sections. Figure 3: Maximum unit tractive forces in terms of γys 0 CVE 372 Hydromechanics 58/68
59 Design of Open Channels Design of Erodible Channels Method of Maximum Permissible Triactive Force Permissible tractive force The permissible tractive force is the maximum tractive force that will not cause serious erosion of the material forming the channel bed on a level surface. This unit tractive force is determined by laboratory experiments and the value thus obtained is known as the critical tractive force. CVE 372 Hydromechanics 59/68
60 Design of Open Channels Design of Erodible Channels Method of Maximum Permissible Tractive Force Permissible tractive force 2. OPEN CHANNEL FLOW For noncohesive materials the permissible tractive force is a function of the average particle diameter. Figure 4: Unit tractive forces for canals in noncohesive materials CVE 372 Hydromechanics 60/68
61 Design of Open Channels Design of Erodible Channels Method of Maximum Permissible Triactive Force Permissible tractive force For cohesive materials triactive force is function of the void ratio 2. OPEN CHANNEL FLOW Figure 5: Unit tractive forces for canals in cohesive materials CVE 372 Hydromechanics 61/68
62 Design of Open Channels 2. OPEN CHANNEL FLOW Design of Erodible Channels Method of Maximum Permissible Triactive Force Motion of the particle on the side aτ s = the tractive force on the side slope W s.sinφ = the gravity force component where a: the effective area of the particle, τ : the unit tractive force on the side of the channel, W s : the submerged weight of the particle. 2 2 [( W sinφ ) + ( aτ ) ] 1/ 2 s s : the resultant force W s cosφ tanθ = the resistance to motion of the particle tanθ = the coefficient of friction (θ is the angle of repose) CVE 372 Hydromechanics 62/68
63 Design of Open Channels Design of Erodible Channels Method of Maximum Permissible Triactive Force Motion of the particle on the side (continued) 2. OPEN CHANNEL FLOW W s cos φ tanθ = W 2 s sin 2 φ + a 2 τ 2 s W s tan τ = cos φ tanθ 1 s 2 a tan 2 φ θ CVE 372 Hydromechanics 63/68
64 Design of Open Channels Design of Erodible Channels Method of Maximum Permissible Triactive Force Motion of the particle on the bed W tanθ = s aτ, b τ = unit tractive force on the bottom. b 2. OPEN CHANNEL FLOW W s τ b = tanθ a The ratio of τ s to τ b is called the tractive force ratio. K τ s = τ b = cosφ 1 tan tan 2 2 φ θ K = 1 sin sin 2 2 φ θ CVE 372 Hydromechanics 64/68
65 Design of Open Channels Design of Erodible Channels Design Procedure: Given: Design discharge Q, type of soil and channel bed slope So; 1. Side slope z, roughness coefficient n, and angle of repose θ are selected from the figure. 2. OPEN CHANNEL FLOW Figure 6: Angle of repose of noncohesive materials CVE 372 Hydromechanics 65/68
66 Design of Open Channels 2. OPEN CHANNEL FLOW Design of Erodible Channels Design Procedure: 2. The permissible tractive force,τ p, is determined according to cohessiveness (Noncohesive or Cohesive) CVE 372 Hydromechanics 66/68
67 Design of Open Channels Design of Erodible Channels Design Procedure: 3. Any b/y ratio is assumed and tractive force of water; On the channel bed, C 1 γys o, and On the sides of the channel, C 2 γys o are determined. CVE 372 Hydromechanics 67/68
68 Design of Open Channels Design of Erodible Channels Design Procedure: 2. OPEN CHANNEL FLOW 4. The value of y is determined from the following inequalities and its smaller value is accepted. C 2 sin φ γys ( τ ) = τ. o b = τ permissible p K p 1 2 sin θ 2 C γ ys o τ = 1 p b ( τ ) permissible CVE 372 Hydromechanics 68/68
69 Design of Open Channels Design of Erodible Channels Design Procedure: 5. Using the assumed b/y ratio and the computed value of y the channel capacity (discharge) is determined by the Manning equation Q = A n R 2/3 S o 1/ 2 6. If the computed channel capacity is different from the design discharge, a new value for b/y ratio is assumed and the procedure is repeated until the computed discharge is equal to the given design discharge. 7. Critical flow conditions are checked 8. A freeboard is added on the water depth. CVE 372 Hydromechanics 69/68
70 Design of Open Channels Design of Erodible Channels Note: For cohesive soils, only the tractive force of bottom is critical For noncohesive soils, one must compute the value of K from its equation. On the basis of stability criteria, if: K < 0.78 side shear controls the required depth K > 0.78 bed shear controls the required depth CVE 372 Hydromechanics 70/68
71 Design of Open Channels Design of Erodible Channels Example 18: Design an unlined trapezoidal canal using the tractive force approach to carry Q = 4.6 m3/s. Given are z = 2.0, n = 0.02 and So = The canal material is moderately rounded noncohesive soil that 25% material by weight is larger than 25 mm. CVE 372 Hydromechanics 71/68
2.5 Design of Channels
2.6 Design of Open Channels Open channels have uses in urban stormwater drainage urban sanitary-sewer systems irrigation delivery systems In the next few lectures, we'll discuss the design procedure for
Comparison of Flow Characteristics at Rectangular and Trapezoidal Channel Junctions
Journal of Physics: Conference Series Comparison of Flow Characteristics at Rectangular and Channel Junctions To cite this article: Ajay Kumar Pandey and Rakesh Mishra 202 J. Phys.: Conf. Ser. 364 024
Civil Engineering Hydraulics. Backwater Profile Nonrectangular Section. Backwater Profile
Civil Engineering Hydraulics Backwater Profile Nonrectangular Section Sometimes I think the surest sign that intelligent life exists elsewhere in the universe is that none of it has tried to contact us.
Civil Engineering Hydraulics. Backwater Profile
Civil Engineering Hydraulics God put me on this earth to accomplish a certain number of things. Right now I am so far behind that I will never die. Last class, we derived an expression for the change in
The Basics. HECRAS Basis Input. Geometry Data - the basics. Geometry Data. Flow Data. Perform Hydraulic Computations. Viewing the Output
The Basics HECRAS Basis Input Geometry Data. Flow Data. Perform Hydraulic Computations by G. Parodi WRS ITC The Netherlands Viewing the Output ITC Faculty of Geo-Information Science and Earth Observation
RE: Engineered Riffle Concepts for Sodom Dam Removal Grade Control Elements
November 19, 2009 Ms. Melissa Jundt NOAA Fisheries Hydropower Division 1201 NE Lloyd Boulevard, Suite 1100 Portland, Oregon 97232 RE: Engineered Riffle Concepts for Sodom Dam Removal Grade Control Elements
SCOUR: EVALUATION AND RIPRAP. John G. Delphia, P.E. TxDOT Bridge Division Geotechnical Branch
SCOUR: EVALUATION AND RIPRAP John G. Delphia, P.E. TxDOT Bridge Division Geotechnical Branch IMPORTANCE OF SCOUR The most common cause of bridge failures is from floods scouring bed material from around
Design Data 12M. Hydraulic Capacity of Precast Concrete Boxes. RISE, Millimeters. Span Millimeters
Design Data 12M Hydraulic Capacity of Precast Concrete Boxes Under certain conditions the hydraulic or structural characteristics of reinforced concrete box sections offer advantages over the circular
CE 365K Exercise 2: HEC-RAS Modeling Spring 2014 Hydraulic Engineering Design
CE 365K Exercise 2: HEC-RAS Modeling Spring 2014 Hydraulic Engineering Design This exercise was prepared by Fernando R. Salas and David R. Maidment Introduction In this exercise, we will learn how to setup
Metal Casting Dr. D. B. Karunakar Department of Mechanical and Industrial Engineering Indian Institute of Technology, Roorkee
Metal Casting Dr. D. B. Karunakar Department of Mechanical and Industrial Engineering Indian Institute of Technology, Roorkee Module - 02 Sand Casting Process Lecture 14 Design Of Gating System-I Good
Section 2.3 Task List
Summer 2017 Math 108 Section 2.3 67 Section 2.3 Task List Work through each of the following tasks, carefully filling in the following pages in your notebook. Section 2.3 Function Notation and Applications
Description of exam material for Inland waterways and locks
For reasons of simplicity, the description underneath is based on the printed course notes. Page numbers are indicated to facilitate the studying process. It is strongly recommended that the student is
Monopile as Part of Aeroelastic Wind Turbine Simulation Code
Monopile as Part of Aeroelastic Wind Turbine Simulation Code Rune Rubak and Jørgen Thirstrup Petersen Siemens Wind Power A/S Borupvej 16 DK-7330 Brande Denmark Abstract The influence on wind turbine design
Sample Questions for the Engineering Module
Sample Questions for the Engineering Module Subtest Formalising Technical Interrelationships In the subtest "Formalising Technical Interrelationships," you are to transfer technical or scientific facts
Authorized Agent: City of Manassas Check List Attached: Contact: Address: Phone Number: Fax Number: Developer s Name: Phone Number:
CITY OF MANASSAS DEPARTMENT OF COMMUNITY DEVELOPMENT DEVELOPMENT SERVICES DIVISION 9027 Center Street Room 201 Manassas, Virginia, 20110 Phone: 703-257-8278 Fax: 703-257-5831 Application Date: APPLICANT
Rec. ITU-R P RECOMMENDATION ITU-R P *
Rec. ITU-R P.682-1 1 RECOMMENDATION ITU-R P.682-1 * PROPAGATION DATA REQUIRED FOR THE DESIGN OF EARTH-SPACE AERONAUTICAL MOBILE TELECOMMUNICATION SYSTEMS (Question ITU-R 207/3) Rec. 682-1 (1990-1992) The
3/23/2015. Chapter 11 Oscillations and Waves. Contents of Chapter 11. Contents of Chapter Simple Harmonic Motion Spring Oscillations
Lecture PowerPoints Chapter 11 Physics: Principles with Applications, 7 th edition Giancoli Chapter 11 and Waves This work is protected by United States copyright laws and is provided solely for the use
CONTROL DESIGN FOR AN IRRIGATION CHANNEL FROM PHYSICAL DATA
CONTROL DESIGN FOR AN IRRIGATION CHANNEL FROM PHYSICAL DATA Su Ki Ooi E. Weyer CSSIP, Department of Electrical and Electronic Engineering The University of Melbourne Parkville VIC 3010 Australia e-mail:
Torque on a Current Loop: Motors. and Meters
OpenStax-CNX module: m61560 1 Torque on a Current Loop: Motors * and Meters OpenStax Physics with Courseware Based on Torque on a Current Loop: Motors and Meters by OpenStax This work is produced by OpenStax-CNX
QUANTITY SURVEYS. Introduction
QUANTITY SURVEYS Introduction In engineering surveying, we often consider a route (road, sewer pipeline, channel, etc.) from three distinct perspectives. The plan view of route location is the same as
Field Observations and One-Dimensional Flow Modeling of Summit Creek in Mack Park, Smithfield, Utah
Sediment Transport Workshop, Utah State University, 1 August 2017 Field Observations and One-Dimensional Flow Modeling of Summit Creek in Mack Park, Smithfield, Utah I. Goals for learning and discussion:
Module 7 : Design of Machine Foundations. Lecture 31 : Basics of soil dynamics [ Section 31.1: Introduction ]
![Module 7 : Design of Machine Foundations. Lecture 31 : Basics of soil dynamics [ Section 31.1: Introduction ]](/thumbs/75/72740950.jpg "Module 7 : Design of Machine Foundations. Lecture 31 : Basics of soil dynamics [ Section 31.1: Introduction ]")
Lecture 31 : Basics of soil dynamics [ Section 31.1: Introduction ] Objectives In this section you will learn the following Dynamic loads Degrees of freedom Lecture 31 : Basics of soil dynamics [ Section
Formulae for calculations A) Nomenclature
Formulae for calculations A) Nomenclature do= Nominal diameter {Outside diameter of screw} dc= Core diameter of screw d= Mean Diameter of the screw p= Pitch of the screw. ) Thread angle ( α) α = tan 1
13.4 Chapter 13: Trigonometric Ratios and Functions. Section 13.4
13.4 Chapter 13: Trigonometric Ratios and Functions Section 13.4 1 13.4 Chapter 13: Trigonometric Ratios and Functions Section 13.4 2 Key Concept Section 13.4 3 Key Concept Section 13.4 4 Key Concept Section
3 Table of Contents. Introduction. Installing and Activating... 8 Getting Updates Basic Working Procedures
User's Guide 3 Table of Contents 1. Introduction 5 1.1 Installing and Activating... 8 1.2 Getting Updates... 9 2. 11 2.1 What To Do First... 13 2.2 Starting a New Project... 14 2.3 Setting Up Your Model...
Fluid Mechanics-61341
An-Najah National University College of Engineering Fluid Mechanics-61341 Chapter [6] Momentum Principle 1 Fluid Mechanics-2nd Semester 2010- [6] Momentum Principle Momentum Momentum = Mass X Velocity
The period is the time required for one complete oscillation of the function.
Trigonometric Curves with Sines & Cosines + Envelopes Terminology: AMPLITUDE the maximum height of the curve For any periodic function, the amplitude is defined as M m /2 where M is the maximum value and
RECOMMENDATION ITU-R S.1257
Rec. ITU-R S.157 1 RECOMMENDATION ITU-R S.157 ANALYTICAL METHOD TO CALCULATE VISIBILITY STATISTICS FOR NON-GEOSTATIONARY SATELLITE ORBIT SATELLITES AS SEEN FROM A POINT ON THE EARTH S SURFACE (Questions
Title: Oct 9 8:27 AM (1 of 30)
Applied Max and Min (Optimization) 1. If you have 100 feet of fencing and you want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose? Title: Oct 9
Test Yourself. 11. The angle in degrees between u and w. 12. A vector parallel to v, but of length 2.
Test Yourself These are problems you might see in a vector calculus course. They are general questions and are meant for practice. The key follows, but only with the answers. an you fill in the blanks
B422 - PRECAST REINFORCED CONCRETE BOX CULVERTS AND BOX SEWERS - OPSS 422
B422 - PRECAST REINFORCED CONCRETE BOX CULVERTS AND BOX SEWERS - OPSS 422 422.1 GENERAL The work under these tender items consists of the fabrication and installation in open cut of precast reinforced
Appendix C: Graphing. How do I plot data and uncertainties? Another technique that makes data analysis easier is to record all your data in a table.
Appendix C: Graphing One of the most powerful tools used for data presentation and analysis is the graph. Used properly, graphs are an important guide to understanding the results of an experiment. They
BOX CULVERTS DRAINAGE & WATER MANAGEMENT. v2.1
BOX CULVERTS DRAINAGE & WATER MANAGEMENT v2.1 FPMCCANN.CO.UK Magherafelt UddingSton Alnwick Designed and manufactured in accordance with all current design specifications and relevant standards, FP McCann
SURVEYING 1 CE 215 CHAPTER -3-
Civil Engineering Department SURVEYING 1 CE 215 CHAPTER -3- PROFILE AND CROSS SECTION LEVELING 1 2 1 3 4 2 5 6 3 7 8 4 9 10 5 11 12 6 13 14 7 15 16 8 17 18 9 19 20 10 21 22 11 23 24 12 25 26 13 27 28 14
Magnetic Field of the Earth
Magnetic Field of the Earth Name Section Theory The earth has a magnetic field with which compass needles and bar magnets will align themselves. This field can be approximated by assuming there is a large
UNIT Explain the radiation from two-wire. Ans: Radiation from Two wire
UNIT 1 1. Explain the radiation from two-wire. Radiation from Two wire Figure1.1.1 shows a voltage source connected two-wire transmission line which is further connected to an antenna. An electric field
GEO-SLOPE International Ltd, Calgary, Alberta, Canada Relief Well Spacing
1 Introduction Relief Well Spacing Relief wells are commonly installed on the downstream side of an earth dam to control the seepage and pore-pressures (e.g. levee; Figure 1). A key design requirement
DOPPLER RADAR. Doppler Velocities - The Doppler shift. if φ 0 = 0, then φ = 4π. where
Q: How does the radar get velocity information on the particles? DOPPLER RADAR Doppler Velocities - The Doppler shift Simple Example: Measures a Doppler shift - change in frequency of radiation due to
Bentley s MicroStation Hydraulic Design/Analysis Software
Bentley s MicroStation Hydraulic Design/Analysis Software October 17, 2018 Update on SUDA Development from 2017 SUDA Implementation Schedule SUDA/StormCAD Tools Management Tools Scenarios vs Alternatives
HEXAGONAL DOUBBLE TWISTED GABION & ROCK FALL MATRESSES
Menufatchurar of HEXAGONAL DOUBBLE TWISTED GABION & ROCK FALL MATRESSES As per IS 16014 (2012): Mechanically woven, double -twisted, hexagonal Wire Mesh Gabions, Revet Mattresses and Rock fallnetting(
BOX CULVERTS DRAINAGE & WATER MANAGEMENT. v2.1
BOX CULVERTS DRAINAGE & WATER MANAGEMENT v2.1 FPMCCANN.CO.UK Lisnaskea Magherafelt ARMAGH UddingSton Alnwick Weston Underwood Ellistown Byley Grantham Littleport Wellesbourne Lydney London Cadeby FP McCann
3.2 Structures in Small Lined Canals
Weirs with a partition board - The flow divisor consists essentially of a broadcrested weir with rectangular control section and a partition board downstream from the crest. The partition board may be
Engineering Fundamentals and Problem Solving, 6e
Engineering Fundamentals and Problem Solving, 6e Chapter 5 Representation of Technical Information Chapter Objectives 1. Recognize the importance of collecting, recording, plotting, and interpreting technical
DS-CD-01 Rev 3
Coalescers OVERVIEW There are numerous industrial applications requiring effective physical separation of two process liquids. HAT has developed a number of AlphaSEP Coalescers to handle a wide range of
MATH 255 Applied Honors Calculus III Winter Homework 1. Table 1: 11.1:8 t x y
MATH 255 Applied Honors Calculus III Winter 2 Homework Section., pg. 692: 8, 24, 43. Section.2, pg. 72:, 2 (no graph required), 32, 4. Section.3, pg. 73: 4, 2, 54, 8. Section.4, pg. 79: 6, 35, 46. Solutions.:
DC and AC Circuits. Objective. Theory. 1. Direct Current (DC) R-C Circuit
[International Campus Lab] Objective Determine the behavior of resistors, capacitors, and inductors in DC and AC circuits. Theory ----------------------------- Reference -------------------------- Young
Coimisiún na Scrúduithe Stáit State Examinations Commission
2009. M26 Coimisiún na Scrúduithe Stáit State Examinations Commission LEAVING CERTIFICATE EXAMINATION, 2009 MATHEMATICS FOUNDATION LEVEL PAPER 2 ( 300 marks ) MONDAY, 8 JUNE MORNING, 9:30 to 12:00 Attempt
THE SINUSOIDAL WAVEFORM
Chapter 11 THE SINUSOIDAL WAVEFORM The sinusoidal waveform or sine wave is the fundamental type of alternating current (ac) and alternating voltage. It is also referred to as a sinusoidal wave or, simply,
SECTION 100 PRELIMINARY CONSIDERATIONS & INSTRUCTIONS
SECTION 100 PRELIMINARY CONSIDERATIONS & INSTRUCTIONS 101 General 102 Submittal Requirements A. Initial Submittal B. Second Submittal 103 Plan Requirements A. Subdivisions B. Site Plans 104 Approval of
A Wheeling-Hopping Combination Scout Robot
A Wheeling-Hopping Combination Scout Robot Jie Zhao, Gangfeng Liu, Qinghu Han, and Hegao Cai State Key Laboratory of Robotic Technology and System,Harbin Institute of Technology, Harbin, 151, P. R. China
Characteristics of the recirculation cell pattern in a lateral cavity
River Flow - Dittrich, Koll, Aberle & Geisenhainer (eds) - Bundesanstalt für Wasserbau ISBN 978--99--7 Characteristics of the recirculation cell pattern in a lateral cavity N. Riviere, M. Garcia, E. Mignot,
Module 6 : Design of Retaining Structures. Lecture 30 : Dewatering [ Section 30.1 : Introduction ]
![Module 6 : Design of Retaining Structures. Lecture 30 : Dewatering [ Section 30.1 : Introduction ]](/thumbs/78/77377713.jpg "Module 6 : Design of Retaining Structures. Lecture 30 : Dewatering [ Section 30.1 : Introduction ]")
Lecture 30 : Dewatering [ Section 30.1 : Introduction ] Objectives In this section you will learn the following Introduction Lecture 30 : Dewatering [ Section 30.1 : Introduction ] Introduction Dewatering
Vibrating Feeders Types of Drive Mechanism. Osborn Pan Feeders (Volumetric Feeders) Twin Motor Type (OBEX) Double Shaft Type (Linear)
Pan Feeders Osborn Pan Feeders (Volumetric Feeders) Vibrating Feeders Types of Drive Mechanism The main feature of this feeder is the low power consumption, low noise and little maintenance required. Osborn
Advancement simulation of parallel tunnels and their interchange with two other subway lines using a new FEM approach, a case study
Geotechnics for Sustainable Development - Geotec Hanoi 0, Phung (edt). Construction Publisher. ISBN 978-60-8-00-8 Advancement simulation of parallel tunnels and their interchange with two other subway
The Design of Gating System 4. Design of gating system elements 1
MME 345 Lecture 17 The Design of Gating System 4. Design of gating system elements 1 Ref: [1] P. Beeley, Foundry Technology, Butterworth-Heinemann, 2001 [2] J. Campbell, Castings, Butterworth-Heinemann,
CH # 8. Two rectangular metal pieces, the aim is to join them
CH # 8 Screws, Fasteners, and the Design of Non-permanent Joints Department of Mechanical Engineering King Saud University Two rectangular metal pieces, the aim is to join them How this can be done? Function
SYNCHRONOUS MACHINES
SYNCHRONOUS MACHINES The geometry of a synchronous machine is quite similar to that of the induction machine. The stator core and windings of a three-phase synchronous machine are practically identical
Town of Westlake Construction Plans Review Checklist
CONSTRUCTION PLANS CONTENTS All Drawings 24 x 36 Cover Sheet Final Plat Site Plan Demolition Plan Utility Plan Drainage Area Map and Calculations Paving Plan & Profile Sheets Storm Drain Plan & Profile
1. If the flux associated with a coil varies at the rate of 1 weber/min,the induced emf is
1. f the flux associated with a coil varies at the rate of 1 weber/min,the induced emf is 1 1. 1V 2. V 60 3. 60V 4. Zero 2. Lenz s law is the consequence of the law of conservation of 1. Charge 2. Mass
MAJOR GRADING PLAN CHECKLIST
MAJOR GRADING PLAN CHECKLIST PUBLIC WORKS DEPARTMENT / ENGINEERING DIVISION 8130 Allison Avenue, La Mesa, CA 91942 Phone: (619) 667-1166 Fax: (619) 667-1380 Grading plans shall address both rough grading
AP Physics Electricity and Magnetism #7 Inductance
Name Period AP Physics Electricity and Magnetism #7 Inductance Dr. Campbell 1. Do problems Exercise B page 589 and problem 2, 3, 8, 9 page 610-1. Answers at the end of the packet. 2. A 20-turn wire coil
Solutions to Exercises, Section 5.6
Instructor s Solutions Manual, Section 5.6 Exercise 1 Solutions to Exercises, Section 5.6 1. For θ = 7, evaluate each of the following: (a) cos 2 θ (b) cos(θ 2 ) [Exercises 1 and 2 emphasize that cos 2
Module 2 WAVE PROPAGATION (Lectures 7 to 9)
Module 2 WAVE PROPAGATION (Lectures 7 to 9) Lecture 9 Topics 2.4 WAVES IN A LAYERED BODY 2.4.1 One-dimensional case: material boundary in an infinite rod 2.4.2 Three dimensional case: inclined waves 2.5
Numerical Modeling of Grouted Soil Nails
Numerical Modeling of Grouted Soil Nails Dr. Haider S. Al -Jubair Department of Civil Engineering University of Basrah-College of Engineering Basrah, Iraq Afaf A. Maki Department of Civil Engineering University
Applications of Computational Fluid Dynamics in Flow Measurement and Meter Design
Utah State University DigitalCommons@USU All Graduate Theses and Dissertations Graduate Studies 2016 Applications of Computational Fluid Dynamics in Flow Measurement and Meter Design Zachary B. Sharp Utah
NALYSIS OF STABILIZING SLOPES USING VERTICAL PILES
NALYSIS OF STABILIZING SLOPES USING VERTICAL PILES Mahmoud S. Abdelbaki: Lecturer, Gehan E. Abdelrahman: Lecturer, Youssef G. Youssef :Assis.Lecturer, Civil Eng. Dep., Faculty of Eng., Cairo University,
Essential Skills: Reading and Interpreting Maps and Plans
Essential Skills: Reading and Interpreting Maps and Plans Prepared for: NEW YORK STATE PLANNING FEDERATION April 14, 2015 Prepared by: BME ASSOCIATES Peter G. Vars, P.E. Stages of Plan Review Concept /
Smart Electromagnetic Flowmeter Open channel Flowmeter Detector
No. SS2-MGN200-0200 MagneW3000 PLUS Smart Electromagnetic Flowmeter Open channel Flowmeter Detector Model NNK150/951 OVERVIEW The MagneW3000 PLUS Electromagnetic Flowmeter is submersible type of flowmeter
Chapter 6: Periodic Functions
Chapter 6: Periodic Functions In the previous chapter, the trigonometric functions were introduced as ratios of sides of a right triangle, and related to points on a circle. We noticed how the x and y
Flow Monitoring Product Guide
Monitoring Product Guide 2100 Series Modules Velocity Profiling 4200 Series 3010 Transmitter 4501 Pump Station Monitor Advanced Products From Teledyne Isco Offering a wide range of flow instruments and
5.3-The Graphs of the Sine and Cosine Functions
5.3-The Graphs of the Sine and Cosine Functions Objectives: 1. Graph the sine and cosine functions. 2. Determine the amplitude, period and phase shift of the sine and cosine functions. 3. Find equations
Bucking Coils produce Energy Gain Cyril Smith, 2015
Bucking Coils produce Energy Gain Cyril Smith, 015 1. Introduction There are many claims of overunity for systems that employ bucking coils. These are coils mounted on a common core and connected in series
To make a paper scale of given least count: (a) 0.2 cm and (b) 0.5 cm
ACTIVITIES To make a paper scale of given least count: (a) 0.2 cm and (b) 0.5 cm Thick ivory/drawing sheet; white paper sheet; pencil; sharpener; eraser; metre scale (ruler); fine tipped black ink or gel
DESIGN OF IRRIGATION CHANNELS IN MOHAMMARA AKKAR MOHAFAZA
DESIGN OF IRRIGATION CHANNELS IN MOHAMMARA AKKAR MOHAFAZA VOLUME 1 DETAILED DESIGN DRAWINGS JULY, 2017 X= 293500 Y=39500 X= 293000 X= 292500 X= 292000 X= 291500 X= 291000 X= 290500 PROPOSED IRRIGATION
Exam 1 Study Guide. Math 223 Section 12 Fall Student s Name
Exam 1 Study Guide Math 223 Section 12 Fall 2015 Dr. Gilbert Student s Name The following problems are designed to help you study for the first in-class exam. Problems may or may not be an accurate indicator
Practice problems from old exams for math 233
Practice problems from old exams for math 233 William H. Meeks III January 14, 2010 Disclaimer: Your instructor covers far more materials that we can possibly fit into a four/five questions exams. These
3.3. You wouldn t think that grasshoppers could be dangerous. But they can damage
Grasshoppers Everywhere! Area and Perimeter of Parallelograms on the Coordinate Plane. LEARNING GOALS In this lesson, you will: Determine the perimeter of parallelograms on a coordinate plane. Determine
Water Surface Profiles
United States Department of Agriculture Natural Resources Conservation Service Hydrology Computer Program for Water Issued October 1993 Revision March 2005 The United States Department of Agriculture (USDA)
DOWEL ACTION OF TITANIUM BARS CONNECTING MARBLE FRAGMENTS AT DIFFERENT ANGLES
13 th International Brick and Block Masonry Conference Amsterdam, July 4-7, 2004 DOWEL ACTION OF TITANIUM BARS CONNECTING MARBLE FRAGMENTS AT DIFFERENT ANGLES E.Vintzileou 1, E.-E.Toumbakari 2 Abstract
A STUDY OF DOPPLER BEAM SWINGING USING AN IMAGING RADAR
.9O A STUDY OF DOPPLER BEAM SWINGING USING AN IMAGING RADAR B. L. Cheong,, T.-Y. Yu, R. D. Palmer, G.-F. Yang, M. W. Hoffman, S. J. Frasier and F. J. López-Dekker School of Meteorology, University of Oklahoma,
Engage Examine the picture on the left. 1. What s happening? What is this picture about?
AP Physics Lesson 1.a Kinematics Graphical Analysis Outcomes Interpret graphical evidence of motion (uniform speed & uniform acceleration). Apply an understanding of position time graphs to novel examples.
Piled raft foundation for the W-TOWER Tel Aviv
Piled raft foundation for the W-TOWER Tel Aviv Prepared by A. Lehrer, S. Bar. 1. Introduction. Development of the world's largest cities dictated the need for high building housing in different soil conditions,
Training Manual The Installation of Siphonic Pipework
Training Manual The Installation of Siphonic Pipework The Engineered Rainwater Solution Training Manual: The Installation of Siphonic Pipework o Overview of Principals of Siphonic Drainage o Interpreting
Experiment VI: The LRC Circuit and Resonance
Experiment VI: The ircuit and esonance I. eferences Halliday, esnick and Krane, Physics, Vol., 4th Ed., hapters 38,39 Purcell, Electricity and Magnetism, hapter 7,8 II. Equipment Digital Oscilloscope Digital
Units. In the following formulae all lengths are expressed in centimeters. The inductance calculated will be in micro-henries = 10-6 henry.
INDUCTANCE Units. In the following formulae all lengths are expressed in centimeters. The inductance calculated will be in micro-henries = 10-6 henry. Long straight round wire. If l is the length; d, the
Anne Arundel County Dept. of Inspections and Permits Storm Drain Checklist
Project Name Project Number Engineer Plans are to be designed based on the standards set forth in the Anne Arundel County Design Manual Standards and Specifications, and all other manuals as stipulated
Math 148 Exam III Practice Problems
Math 48 Exam III Practice Problems This review should not be used as your sole source for preparation for the exam. You should also re-work all examples given in lecture, all homework problems, all lab
(1.3.1) (1.3.2) It is the harmonic oscillator equation of motion, whose general solution is: (1.3.3)
M22 - Study of a damped harmonic oscillator resonance curves The purpose of this exercise is to study the damped oscillations and forced harmonic oscillations. In particular, it must measure the decay
Rodney Hunt. A GA Industries Company Glydaseal Gates
Rodney Hunt A GA Industries Company Glydaseal Gates GUIDE BRONZE GUIDE BAR FRAME NUT POCKET SEAT FACING RESILIENT INVERT SEAT DISC GUIDE BAR ADJUSTMENT BOLT WITH LOCK NUT GUIDE BAR ATTACHING BOLT The Glydaseal
You identified, analyzed, and graphed quadratic functions. (Lesson 1 5) Analyze and graph equations of parabolas. Write equations of parabolas.
You identified, analyzed, and graphed quadratic functions. (Lesson 1 5) Analyze and graph equations of parabolas. Write equations of parabolas. conic section degenerate conic locus parabola focus directrix
Dynamic Modeling of Air Cushion Vehicles
Proceedings of IMECE 27 27 ASME International Mechanical Engineering Congress Seattle, Washington, November -5, 27 IMECE 27-4 Dynamic Modeling of Air Cushion Vehicles M Pollack / Applied Physical Sciences
APPENDIX K DEPARTMENT OF PLANNING AND CODE ENFORCEMENT SUBDIVISION APPLICATION CENTER SUBMITTAL CHECKLIST
VI-K -1 of 8 APPENDIX K DEPARTMENT OF PLANNING AND CODE ENFORCEMENT SUBDIVISION APPLICATION CENTER SUBMITTAL CHECKLIST Final Submittal Major Subdivision Project Name Subdivision Number Location (Street
The Helicoidal or Wire Stone Saw
The Helicoidal or Wire Stone Saw From Scientific American, March 6, 1886, pp. 147-148 This article, which begins on the next page, is presented on the Stone Quarries and Beyond web site in the Quarry Equipment
1. Measure angle in degrees and radians 2. Find coterminal angles 3. Determine the arc length of a circle
Pre- Calculus Mathematics 12 5.1 Trigonometric Functions Goal: 1. Measure angle in degrees and radians 2. Find coterminal angles 3. Determine the arc length of a circle Measuring Angles: Angles in Standard
ESR-1799 Reissued June 1, 2009 This report is subject to re-examination in one year.
ICC-ES Evaluation Report ESR-799 Reissued June, 009 This report is subject to re-examination in one year. www.icc-es.org (800) -87 () 99-0 A Subsidiary of the International Code Council DIVISION: 0CONCRETE
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Trigonometry Final Exam Study Guide Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The graph of a polar equation is given. Select the polar
13-2 Angles of Rotation
13-2 Angles of Rotation Objectives Draw angles in standard position. Determine the values of the trigonometric functions for an angle in standard position. Vocabulary standard position initial side terminal
ACCURACY IMPROVEMENT ON NON-INVASIVE ULTRASONIC-DOPPLER FLOW MEASUREMENT BY UTILZING SHEAR WAVES IN METAL PIPE
4th International Symposium on Ultrasonic Doppler Method for Fluid Mechanics and Fluid Engineering Sapporo, 6.-8. September, 24 ACCURACY IMPROVEMENT ON NON-INVASIVE ULTRASONIC-DOPPLER FLOW MEASUREMENT
PHAUCET 2012 version
PHAUCET 2012 version 8.2.20 User Manual www.uaex.edu DISCLAIMER Although the PHAUCET program has been tested by its developers, NO warranty, expressed or implied, is made as to the accuracy and functionality
Example Application C H A P T E R 4. Contents
C H A P T E R 4 Example Application This chapter provides an example application of how to perform steady flow water surface profile calculations with HEC-RAS. The user is taken through a step-by-step