Hydraulics of pipelines
|
|
- Mervyn Burns
- 5 years ago
- Views:
Transcription
1 Hydraulics of pipelines
2 K 4 HYAE Hydraulics of pipelines Application of Bernoulli equation BE continuity equation CE g g p h g g p h loss head (losses): friction losses t (in distance L) local losses m t m BE - CE - S S Q Q
3 FRICTION LOSSES uniform flow = const, = const i E = hydraulic slope (friction slope) = slope of EL t = t (,, L, character of walls of pipeline) K 4 HYAE Hydraulics of pipelines
4 Equilibrium of forces in elementary olume EV p dp S p S 0 O ds dp ds 0 O S for circle pipeline : O O, S 4 S 4 4 dp ds 0 4 K 4 HYAE Hydraulics of pipelines 3
5 arcy-weisbach equation i Expression of 0 under turbulent flow friction coefficient: dp ds uniform flow: (for ds = L, dp = p) f f kinetic shearstres s energy in unit ff 0 8 coefficient of friction loss PL EL 0 olume = f (Re, /) p g L 0 t L Re ν p t g t L g i E L t g K 4 HYAE Hydraulics of pipelines 4
6 friction slope i E = a b i E b = LF < b < TF transit z. b = quadratic zone k Re k = 30 k m LP - laminar flow TP - turbulent flow K 4 HYAE Hydraulics of pipelines 5
7 Effect of dimensions of projections on flow in close icinity to pipeline wall laminar flow turbulent flow K 4 HYAE Hydraulics of pipelines 6
8 Moody diagram FRICTION FACTOR Laminar flow Poiseuille 64 Re Region of transition 3 Smooth pipes Blasius 0,364 0,5 Re,5 4 Turbulent flow Colebrook - White log - transitional zone 3,7 Re 0, Altshul 0, Re 5 Rough turbulent quadratic 00 0,5 Re Nikuradse zone λ Δ 3,7 log K 4 HYAE Hydraulics of pipelines 7
9 Notes: - tap water T = C =,4.0-6 m s - - hydraulic roughness = 0,0 mm mm tables - recommended elocity for water pipeline 0,5,5 ms - K 4 HYAE Hydraulics of pipelines 8
10 LOCAL LOSSES IN PIPELINES mi i g loss coefficient i TAB Total losses = friction losses + local losses t m L j λ j i j g INLET (common, cured, streamlined, suction basket, backflow ale, grid, ) = 0,5 0,05 0, 0 j K 4 HYAE Hydraulics of pipelines 9
11 K 4 HYAE Hydraulics of pipelines 0 CHANGE OF IRECTION (bend, knee pipe, segment knee pipe) BRANCHING, CONNECTION CHANGE OF PROFILE (sudden x continuous, enlargement x thinning) MEASURING EVICE (pipe flow meters) OUTLET 6-0 u = 0 large reseroir u = Δ,α, r f ζ s s δ, f ζ z α, Q Q, Q Q,, f ζ o
12 CLOSURES (ales, backflow ales, taps, slide ales) ζ u f type, openning slide ale ale ball tap K 4 HYAE Hydraulics of pipelines
13 HYRAULIC CALCULATIONS OF PIPELINES 3 kinds of equations: - Bernoulli equation eleations and pressure relations, boundary conditions - continuity equation - equation of losses geometry and roughness of pipe, discharge calculation: Q,,, L, H, p, K 4 HYAE Hydraulics of pipelines
14 BE A A B B p p H g g g g CE Q equation of losses S S j Sj t m λ ζi L g K 4 HYAE Hydraulics of pipelines 3
15 Note: so called hydraulically long pipeline m t t α g t α g 0 EL PL K 4 HYAE Hydraulics of pipelines 4
16 open and large reseroirs p A = p B = 0 (oerpressures) A = B = 0 BE: H =... total head loss exit loss outlet from pipe to open space p B = 0 BR: H α g no exit loss K 4 HYAE Hydraulics of pipelines 5
17 0 UNERPRESSURES IN PIPELINES p a max (6 8).0 4 Pa p a g max places with high eleation s S 0- (6 8) m w. col. EL PL RL underpressures caitation always to check! siphon tube (top aboe upper reseroir leel) BE 0-: h 0 h 0 p0 ρg 0, α0 g 0 p ρg for 0, h p 0 p ρg p pa s ρg pa ρg max a, h α g s α g s max 0 0 K 4 HYAE Hydraulics of pipelines 6
18 PIPELINE PUMP SYSTEM escription of system: lower reseroir suction pipe SP pump Č deliery pipe VP upper reseroir (eent. outlet to open space) Types of losses: SP: s friction, suction basket, backflow ale, knee pipe, bends VP: friction, closures, knee pipe, bends Soled problems : - determination of Q, - checking of underpressure in SP - determination of input power of Č K 4 HYAE Hydraulics of pipelines 7
19 p A determination of Q, - basic equations (BE, CE) for open large reseroir p A p a BE: lower reseroir - Č pa H g gs p 0, 0 checking of underpressure in SP pa pč g s g A s H a pa g p a p g Č H gs S s g practically H a < (6 8) m w. col. K 4 HYAE Hydraulics of pipelines 8
20 determination of necessary input power geodetic gradient: total head: H d H g S V H g H gs H g pb pa B g g g A g For open large reseroirs p A p B p a, A B 0 H d H g S V H g Input power P ρgqh d η [W] efficacy: practically up to 0,9 K 4 HYAE Hydraulics of pipelines 9
21 PIPELINE SYSTEMS - branched - close loop - combined Closed loop V Branched net A V - distribution reseroir K 4 HYAE Hydraulics of pipelines 0
22 WATER HAMMER quick manipulation with closure, pump starting or failure rapid change of pressure (water hammer), in particular at long pipelines protection against water hammer: sufficiently slow manipulation with closures air chambers, surge chambers (equilibrating towers)... K 4 HYAE Hydraulics of pipelines
Hydraulics. B.E. (Civil), Year/Part: II/II. Tutorial solutions: Pipe flow. Tutorial 1
Hydraulics B.E. (Civil), Year/Part: II/II Tutorial solutions: Pipe flow Tutorial 1 -by Dr. K.N. Dulal Laminar flow 1. A pipe 200mm in diameter and 20km long conveys oil of density 900 kg/m 3 and viscosity
More informationChapter (3) Water Flow in Pipes
Chapter (3) Water Flow in Pipes Water Flow in Pipes Bernoulli Equation Recall fluid mechanics course, the Bernoulli equation is: P 1 ρg + v 1 g + z 1 = P ρg + v g + z h P + h T + h L Here, we want to study
More informationChapter (3) Water Flow in Pipes
Chapter (3) Water Flow in Pipes Water Flow in Pipes Bernoulli Equation Recall fluid mechanics course, the Bernoulli equation is: P 1 ρg + v 1 g + z 1 = P ρg + v g + z h P + h T + h L Here, we want to study
More informationME 305 Fluid Mechanics I. Part 8 Viscous Flow in Pipes and Ducts. Flow in Pipes and Ducts. Flow in Pipes and Ducts (cont d)
ME 305 Fluid Mechanics I Flow in Pipes and Ducts Flow in closed conduits (circular pipes and non-circular ducts) are very common. Part 8 Viscous Flow in Pipes and Ducts These presentations are prepared
More informationWhen water (fluid) flows in a pipe, for example from point A to point B, pressure drop will occur due to the energy losses (major and minor losses).
PRESSURE DROP AND OSSES IN PIPE When water (luid) lows in a pipe, or example rom point A to point B, pressure drop will occur due to the energy losses (major and minor losses). A B Bernoulli equation:
More informationME 305 Fluid Mechanics I. Chapter 8 Viscous Flow in Pipes and Ducts
ME 305 Fluid Mechanics I Chapter 8 Viscous Flow in Pipes and Ducts These presentations are prepared by Dr. Cüneyt Sert Department of Mechanical Engineering Middle East Technical University Ankara, Turkey
More informationV/ t = 0 p/ t = 0 ρ/ t = 0. V/ s = 0 p/ s = 0 ρ/ s = 0
UNIT III FLOW THROUGH PIPES 1. List the types of fluid flow. Steady and unsteady flow Uniform and non-uniform flow Laminar and Turbulent flow Compressible and incompressible flow Rotational and ir-rotational
More informationFLUID MECHANICS. Dynamics of Viscous Fluid Flow in Closed Pipe: Darcy-Weisbach equation for flow in pipes. Major and minor losses in pipe lines.
FLUID MECHANICS Dynamics of iscous Fluid Flow in Closed Pipe: Darcy-Weisbach equation for flow in pipes. Major and minor losses in pipe lines. Dr. Mohsin Siddique Assistant Professor Steady Flow Through
More informationFACULTY OF CHEMICAL & ENERGY ENGINEERING FLUID MECHANICS LABORATORY TITLE OF EXPERIMENT: MINOR LOSSES IN PIPE (E4)
FACULTY OF CHEMICAL & ENERGY ENGINEERING FLUID MECHANICS LABORATORY TITLE OF EXPERIMENT: MINOR LOSSES IN PIPE (E4) 1 1.0 Objectives The objective of this experiment is to calculate loss coefficient (K
More informationFLUID MECHANICS D203 SAE SOLUTIONS TUTORIAL 2 APPLICATIONS OF BERNOULLI SELF ASSESSMENT EXERCISE 1
FLUID MECHANICS D203 SAE SOLUTIONS TUTORIAL 2 APPLICATIONS OF BERNOULLI SELF ASSESSMENT EXERCISE 1 1. A pipe 100 mm bore diameter carries oil of density 900 kg/m3 at a rate of 4 kg/s. The pipe reduces
More informationReynolds, an engineering professor in early 1880 demonstrated two different types of flow through an experiment:
7 STEADY FLOW IN PIPES 7.1 Reynolds Number Reynolds, an engineering professor in early 1880 demonstrated two different types of flow through an experiment: Laminar flow Turbulent flow Reynolds apparatus
More informationOutflow from orifice
Outflow from orifice TYPES OF OUTFLOW Outflow steady: z = const, h E = const (H = const, H E = const) Q p = Q quasi-steady: z ~ const., phenomenon of large reseroir unsteady: z const (H const) Q p Q, filling
More informationOE4625 Dredge Pumps and Slurry Transport. Vaclav Matousek October 13, 2004
OE465 Vaclav Matousek October 13, 004 1 Dredge Vermelding Pumps onderdeel and Slurry organisatie Transport OE465 Vaclav Matousek October 13, 004 Dredge Vermelding Pumps onderdeel and Slurry organisatie
More information2 Internal Fluid Flow
Internal Fluid Flow.1 Definitions Fluid Dynamics The study of fluids in motion. Static Pressure The pressure at a given point exerted by the static head of the fluid present directly above that point.
More informationMechanical Engineering Programme of Study
Mechanical Engineering Programme of Study Fluid Mechanics Instructor: Marios M. Fyrillas Email: eng.fm@fit.ac.cy SOLVED EXAMPLES ON VISCOUS FLOW 1. Consider steady, laminar flow between two fixed parallel
More informationHydraulics and hydrology
Hydraulics and hydrology - project exercises - Class 4 and 5 Pipe flow Discharge (Q) (called also as the volume flow rate) is the volume of fluid that passes through an area per unit time. The discharge
More informationFE Exam Fluids Review October 23, Important Concepts
FE Exam Fluids Review October 3, 013 mportant Concepts Density, specific volume, specific weight, specific gravity (Water 1000 kg/m^3, Air 1. kg/m^3) Meaning & Symbols? Stress, Pressure, Viscosity; Meaning
More informationLaminar and turbulent flows
Ventilation 0 Duct Design Vladimír Zmrhal (room no. 84) http://users.fs.cvut.cz/~zmrhavla/index.htm Dpt. Of Environmental Engineering Laminar and turbulent flos Reynolds number d Re = ν laminar flo Re
More informationLesson 6 Review of fundamentals: Fluid flow
Lesson 6 Review of fundamentals: Fluid flow The specific objective of this lesson is to conduct a brief review of the fundamentals of fluid flow and present: A general equation for conservation of mass
More informationReview of pipe flow: Friction & Minor Losses
ENVE 204 Lecture -1 Review of pipe flow: Friction & Minor Losses Assist. Prof. Neslihan SEMERCİ Marmara University Department of Environmental Engineering Important Definitions Pressure Pipe Flow: Refers
More informationREE 307 Fluid Mechanics II. Lecture 1. Sep 27, Dr./ Ahmed Mohamed Nagib Elmekawy. Zewail City for Science and Technology
REE 307 Fluid Mechanics II Lecture 1 Sep 27, 2017 Dr./ Ahmed Mohamed Nagib Elmekawy Zewail City for Science and Technology Course Materials drahmednagib.com 2 COURSE OUTLINE Fundamental of Flow in pipes
More informationA Model Answer for. Problem Set #7
A Model Answer for Problem Set #7 Pipe Flow and Applications Problem.1 A pipeline 70 m long connects two reservoirs having a difference in water level of 6.0 m. The pipe rises to a height of 3.0 m above
More informationChapter 7 FLOW THROUGH PIPES
Chapter 7 FLOW THROUGH PIPES 7-1 Friction Losses of Head in Pipes 7-2 Secondary Losses of Head in Pipes 7-3 Flow through Pipe Systems 48 7-1 Friction Losses of Head in Pipes: There are many types of losses
More information9. Pumps (compressors & turbines) Partly based on Chapter 10 of the De Nevers textbook.
Lecture Notes CHE 31 Fluid Mechanics (Fall 010) 9. Pumps (compressors & turbines) Partly based on Chapter 10 of the De Nevers textbook. Basics (pressure head, efficiency, working point, stability) Pumps
More informationACCOUNTING FOR FRICTION IN THE BERNOULLI EQUATION FOR FLOW THROUGH PIPES
ACCOUNTING FOR FRICTION IN THE BERNOULLI EQUATION FOR FLOW THROUGH PIPES Some background information first: We have seen that a major limitation of the Bernoulli equation is that it does not account for
More informationFE Fluids Review March 23, 2012 Steve Burian (Civil & Environmental Engineering)
Topic: Fluid Properties 1. If 6 m 3 of oil weighs 47 kn, calculate its specific weight, density, and specific gravity. 2. 10.0 L of an incompressible liquid exert a force of 20 N at the earth s surface.
More informationLOSSES DUE TO PIPE FITTINGS
LOSSES DUE TO PIPE FITTINGS Aim: To determine the losses across the fittings in a pipe network Theory: The resistance to flow in a pipe network causes loss in the pressure head along the flow. The overall
More informationPipe Flow. Lecture 17
Pipe Flow Lecture 7 Pipe Flow and the Energy Equation For pipe flow, the Bernoulli equation alone is not sufficient. Friction loss along the pipe, and momentum loss through diameter changes and corners
More informationCHAPTER THREE FLUID MECHANICS
CHAPTER THREE FLUID MECHANICS 3.1. Measurement of Pressure Drop for Flow through Different Geometries 3.. Determination of Operating Characteristics of a Centrifugal Pump 3.3. Energy Losses in Pipes under
More information1-Reynold s Experiment
Lect.No.8 2 nd Semester Flow Dynamics in Closed Conduit (Pipe Flow) 1 of 21 The flow in closed conduit ( flow in pipe ) is differ from this occur in open channel where the flow in pipe is at a pressure
More informationMORE ON WHAT IS CAVITATION? (cont.) Jacques Chaurette p. eng., Fluide Design Inc. February 2003
MORE ON WHAT I CAVITATION? (cont.) Jacques Chaurette p. eng., Fluide Design Inc. February 003 Net Positie uction Head Required (N.P..H.R.) The N.P..H. required proides us with the leel of head in terms
More informationChapter 8: Flow in Pipes
Objectives 1. Have a deeper understanding of laminar and turbulent flow in pipes and the analysis of fully developed flow 2. Calculate the major and minor losses associated with pipe flow in piping networks
More informationLecture 3 The energy equation
Lecture 3 The energy equation Dr Tim Gough: t.gough@bradford.ac.uk General information Lab groups now assigned Timetable up to week 6 published Is there anyone not yet on the list? Week 3 Week 4 Week 5
More informationChapter 8: Flow in Pipes
8-1 Introduction 8-2 Laminar and Turbulent Flows 8-3 The Entrance Region 8-4 Laminar Flow in Pipes 8-5 Turbulent Flow in Pipes 8-6 Fully Developed Pipe Flow 8-7 Minor Losses 8-8 Piping Networks and Pump
More informationOpen-channel hydraulics
Open-channel hydraulics STEADY FLOW IN OPEN CHANNELS constant discharge, other geometric and flow characteristics depended only on position Uniform flow Non-uniform flow S; y; v const. i i 0 i E y 1 y
More informationWater Circuit Lab. The pressure drop along a straight pipe segment can be calculated using the following set of equations:
Water Circuit Lab When a fluid flows in a conduit, there is friction between the flowing fluid and the pipe walls. The result of this friction is a net loss of energy in the flowing fluid. The fluid pressure
More informationPiping Systems and Flow Analysis (Chapter 3)
Piping Systems and Flow Analysis (Chapter 3) 2 Learning Outcomes (Chapter 3) Losses in Piping Systems Major losses Minor losses Pipe Networks Pipes in series Pipes in parallel Manifolds and Distribution
More informationHydraulic Design Of Polyethylene Pipes
Hydraulic Design Of Polyethylene Pipes Waters & Farr polyethylene pipes offer a hydraulically smooth bore that provides excellent flow characteristics. Other advantages of Waters & Farr polyethylene pipes,
More informationMajor and Minor Losses
Abstract Major and Minor Losses Caitlyn Collazo, Team 2 (1:00 pm) A Technovate fluid circuit system was used to determine the pressure drop across a pipe section and across an orifice. These pressure drops
More informationLesson 37 Transmission Of Air In Air Conditioning Ducts
Lesson 37 Transmission Of Air In Air Conditioning Ducts Version 1 ME, IIT Kharagpur 1 The specific objectives of this chapter are to: 1. Describe an Air Handling Unit (AHU) and its functions (Section 37.1).
More informationSolved problems 4 th exercise
Soled roblem th exercie Soled roblem.. On a circular conduit there are different diameter: diameter D = m change into D = m. The elocity in the entrance rofile wa meaured: = m -. Calculate the dicharge
More informationFLOW FRICTION CHARACTERISTICS OF CONCRETE PRESSURE PIPE
11 ACPPA TECHNICAL SERIES FLOW FRICTION CHARACTERISTICS OF CONCRETE PRESSURE PIPE This paper presents formulas to assist in hydraulic design of concrete pressure pipe. There are many formulas to calculate
More informationEXPERIMENT No.1 FLOW MEASUREMENT BY ORIFICEMETER
EXPERIMENT No.1 FLOW MEASUREMENT BY ORIFICEMETER 1.1 AIM: To determine the co-efficient of discharge of the orifice meter 1.2 EQUIPMENTS REQUIRED: Orifice meter test rig, Stopwatch 1.3 PREPARATION 1.3.1
More informationApplied Fluid Mechanics
Applied Fluid Mechanics 1. The Nature of Fluid and the Study of Fluid Mechanics 2. Viscosity of Fluid 3. Pressure Measurement 4. Forces Due to Static Fluid 5. Buoyancy and Stability 6. Flow of Fluid and
More informationS.E. (Mech.) (First Sem.) EXAMINATION, (Common to Mech/Sandwich) FLUID MECHANICS (2008 PATTERN) Time : Three Hours Maximum Marks : 100
Total No. of Questions 12] [Total No. of Printed Pages 8 Seat No. [4262]-113 S.E. (Mech.) (First Sem.) EXAMINATION, 2012 (Common to Mech/Sandwich) FLUID MECHANICS (2008 PATTERN) Time : Three Hours Maximum
More informationExperiment (4): Flow measurement
Experiment (4): Flow measurement Introduction: The flow measuring apparatus is used to familiarize the students with typical methods of flow measurement of an incompressible fluid and, at the same time
More informationChapter 7 The Energy Equation
Chapter 7 The Energy Equation 7.1 Energy, Work, and Power When matter has energy, the matter can be used to do work. A fluid can have several forms of energy. For example a fluid jet has kinetic energy,
More informationWilliam В. Brower, Jr. A PRIMER IN FLUID MECHANICS. Dynamics of Flows in One Space Dimension. CRC Press Boca Raton London New York Washington, D.C.
William В. Brower, Jr. A PRIMER IN FLUID MECHANICS Dynamics of Flows in One Space Dimension CRC Press Boca Raton London New York Washington, D.C. Table of Contents Chapter 1 Fluid Properties Kinetic Theory
More informationFluid Mechanics II 3 credit hour. Fluid flow through pipes-minor losses
COURSE NUMBER: ME 323 Fluid Mechanics II 3 credit hour Fluid flow through pipes-minor losses Course teacher Dr. M. Mahbubur Razzaque Professor Department of Mechanical Engineering BUET 1 Losses in Noncircular
More informationPressure Head: Pressure head is the height of a column of water that would exert a unit pressure equal to the pressure of the water.
Design Manual Chapter - Stormwater D - Storm Sewer Design D- Storm Sewer Sizing A. Introduction The purpose of this section is to outline the basic hydraulic principles in order to determine the storm
More informationNPTEL Quiz Hydraulics
Introduction NPTEL Quiz Hydraulics 1. An ideal fluid is a. One which obeys Newton s law of viscosity b. Frictionless and incompressible c. Very viscous d. Frictionless and compressible 2. The unit of kinematic
More informationPROPERTIES OF FLUIDS
Unit - I Chapter - PROPERTIES OF FLUIDS Solutions of Examples for Practice Example.9 : Given data : u = y y, = 8 Poise = 0.8 Pa-s To find : Shear stress. Step - : Calculate the shear stress at various
More informationvector H. If O is the point about which moments are desired, the angular moment about O is given:
The angular momentum A control volume analysis can be applied to the angular momentum, by letting B equal to angularmomentum vector H. If O is the point about which moments are desired, the angular moment
More informationLecture 27 (Walker: ) Fluid Dynamics Nov. 9, 2009
Physics 111 Lecture 27 (Walker: 15.5-7) Fluid Dynamics Nov. 9, 2009 Midterm #2 - Monday Nov. 16 Chap. 7,Chap. 8 (not 8.5) Chap. 9 (not 9.6, 9.8) Chap. 10, Chap. 11 (not 11.8-9) Chap. 13 (not 13.6-8) Chap.
More informationQ1 Give answers to all of the following questions (5 marks each):
FLUID MECHANICS First Year Exam Solutions 03 Q Give answers to all of the following questions (5 marks each): (a) A cylinder of m in diameter is made with material of relative density 0.5. It is moored
More informationViscous Flow in Ducts
Dr. M. Siavashi Iran University of Science and Technology Spring 2014 Objectives 1. Have a deeper understanding of laminar and turbulent flow in pipes and the analysis of fully developed flow 2. Calculate
More informationBasic Fluid Mechanics
Basic Fluid Mechanics Chapter 6A: Internal Incompressible Viscous Flow 4/16/2018 C6A: Internal Incompressible Viscous Flow 1 6.1 Introduction For the present chapter we will limit our study to incompressible
More informationHYDRAULIC RESISTANCE Local (Minor!) Pressure Losses
HYDRULIC RESISTNCE Local (Minor!) Pressure Losses TFD-FD06 Hydraulic Resistance Local (Minor!) Losses Local Pressure Losses (Minor Losses!) lthough they often account for a major portion of the total pressure
More informationMASS, MOMENTUM, AND ENERGY EQUATIONS
MASS, MOMENTUM, AND ENERGY EQUATIONS This chapter deals with four equations commonly used in fluid mechanics: the mass, Bernoulli, Momentum and energy equations. The mass equation is an expression of the
More informationChapter 3 Water Flow in Pipes
The Islamic University o Gaza Faculty o Engineering Civil Engineering Department Hydraulics - ECI 33 Chapter 3 Water Flow in Pipes 3. Description o A Pipe Flow Water pipes in our homes and the distribution
More informationChapter 10 Flow in Conduits
Chapter 10 Flow in Conduits 10.1 Classifying Flow Laminar Flow and Turbulent Flow Laminar flow Unpredictable Turbulent flow Near entrance: undeveloped developing flow In developing flow, the wall shear
More informationLECTURE 6- ENERGY LOSSES IN HYDRAULIC SYSTEMS SELF EVALUATION QUESTIONS AND ANSWERS
LECTURE 6- ENERGY LOSSES IN HYDRAULIC SYSTEMS SELF EVALUATION QUESTIONS AND ANSWERS 1. What is the head loss ( in units of bars) across a 30mm wide open gate valve when oil ( SG=0.9) flow through at a
More informationSTEADY FLOW THROUGH PIPES DARCY WEISBACH EQUATION FOR FLOW IN PIPES. HAZEN WILLIAM S FORMULA, LOSSES IN PIPELINES, HYDRAULIC GRADE LINES AND ENERGY
STEADY FLOW THROUGH PIPES DARCY WEISBACH EQUATION FOR FLOW IN PIPES. HAZEN WILLIAM S FORMULA, LOSSES IN PIPELINES, HYDRAULIC GRADE LINES AND ENERGY LINES 1 SIGNIFICANCE OF CONDUITS In considering the convenience
More informationUniform Channel Flow Basic Concepts. Definition of Uniform Flow
Uniform Channel Flow Basic Concepts Hydromechanics VVR090 Uniform occurs when: Definition of Uniform Flow 1. The depth, flow area, and velocity at every cross section is constant 2. The energy grade line,
More informationFluids. Fluids in Motion or Fluid Dynamics
Fluids Fluids in Motion or Fluid Dynamics Resources: Serway - Chapter 9: 9.7-9.8 Physics B Lesson 3: Fluid Flow Continuity Physics B Lesson 4: Bernoulli's Equation MIT - 8: Hydrostatics, Archimedes' Principle,
More informationApplied Fluid Mechanics
Applied Fluid Mechanics 1. The Nature of Fluid and the Study of Fluid Mechanics 2. Viscosity of Fluid 3. Pressure Measurement 4. Forces Due to Static Fluid 5. Buoyancy and Stability 6. Flow of Fluid and
More informationRate of Flow Quantity of fluid passing through any section (area) per unit time
Kinematics of Fluid Flow Kinematics is the science which deals with study of motion of liquids without considering the forces causing the motion. Rate of Flow Quantity of fluid passing through any section
More informationUNIT I FLUID PROPERTIES AND STATICS
SIDDHARTH GROUP OF INSTITUTIONS :: PUTTUR Siddharth Nagar, Narayanavanam Road 517583 QUESTION BANK (DESCRIPTIVE) Subject with Code : Fluid Mechanics (16CE106) Year & Sem: II-B.Tech & I-Sem Course & Branch:
More informationDepartment of Hydro Sciences, Institute for Urban Water Management. Urban Water
Department of Hydro Sciences, Institute for Urban Water Management Urban Water 1 Global water aspects Introduction to urban water management 3 Basics for systems description 4 Water transport 5 Matter
More informationCEE 3310 Control Volume Analysis, Oct. 7, D Steady State Head Form of the Energy Equation P. P 2g + z h f + h p h s.
CEE 3310 Control Volume Analysis, Oct. 7, 2015 81 3.21 Review 1-D Steady State Head Form of the Energy Equation ( ) ( ) 2g + z = 2g + z h f + h p h s out where h f is the friction head loss (which combines
More informationChapter 6. Losses due to Fluid Friction
Chapter 6 Losses due to Fluid Friction 1 Objectives ä To measure the pressure drop in the straight section of smooth, rough, and packed pipes as a function of flow rate. ä To correlate this in terms of
More informationChapter (6) Energy Equation and Its Applications
Chapter (6) Energy Equation and Its Applications Bernoulli Equation Bernoulli equation is one of the most useful equations in fluid mechanics and hydraulics. And it s a statement of the principle of conservation
More informationTOTAL HEAD, N.P.S.H. AND OTHER CALCULATION EXAMPLES Jacques Chaurette p. eng., June 2003
TOTAL HEAD, N.P.S.H. AND OTHER CALCULATION EXAMPLES Jacques Chaurette p. eng., www.lightmypump.com June 2003 Figure 1 Calculation example flow schematic. Situation Water at 150 F is to be pumped from a
More informationAn overview of the Hydraulics of Water Distribution Networks
An overview of the Hydraulics of Water Distribution Networks June 21, 2017 by, P.E. Senior Water Resources Specialist, Santa Clara Valley Water District Adjunct Faculty, San José State University 1 Outline
More informationENG3103 Engineering Problem Solving Computations Semester 2, 2013
Assessment: Assignment 2 Due: 16 September 2013 Marks: 100 Value: 10 % Question 1 (70 marks) Introduction You are designing a pipe network system that transfers water from the upper pipe to the lower pipe.
More informationCIVE HYDRAULIC ENGINEERING PART II Pierre Julien Colorado State University
1 CIVE 401 - HYDRAULIC ENGINEERING PART II Pierre Julien Colorado State University Problems with and are considered moderate and those with are the longest and most difficult. In 2018 solve the problems
More informationSourabh V. Apte. 308 Rogers Hall
Sourabh V. Apte 308 Rogers Hall sva@engr.orst.edu 1 Topics Quick overview of Fluid properties, units Hydrostatic forces Conservation laws (mass, momentum, energy) Flow through pipes (friction loss, Moody
More informationBERNOULLI EQUATION. The motion of a fluid is usually extremely complex.
BERNOULLI EQUATION The motion of a fluid is usually extremely complex. The study of a fluid at rest, or in relative equilibrium, was simplified by the absence of shear stress, but when a fluid flows over
More informationChapter 10. Solids and Fluids
Chapter 10 Solids and Fluids Surface Tension Net force on molecule A is zero Pulled equally in all directions Net force on B is not zero No molecules above to act on it Pulled toward the center of the
More informationDarcy Weisbach, ELM & Relative Viscosity
Darcy Weisbach, ELM & Relative Viscosity Dr.ir. Sape A. Miedema Head of Studies MSc Offshore & Dredging Engineering & Marine Technology Associate Professor of Dredging Engineering Faculty of 3mE Faculty
More informationChapter 9. Solids and Fluids (c)
Chapter 9 Solids and Fluids (c) EXAMPLE A small swimming pool has an area of 0 square meters. A wooden 4000-kg statue of density 500 kg/m 3 is then floated on top of the pool. How far does the water rise?
More informationChapter 6. Losses due to Fluid Friction
Chapter 6 Losses due to Fluid Friction 1 Objectives To measure the pressure drop in the straight section of smooth, rough, and packed pipes as a function of flow rate. To correlate this in terms of the
More informationSizing of Gas Pipelines
Sizing of Gas Pipelines Mavis Nyarko MSc. Gas Engineering and Management, BSc. Civil Engineering Kumasi - Ghana mariiooh@yahoo.com Abstract-In this study, an effective approach for calculating the size
More informationPressure and Flow Characteristics
Pressure and Flow Characteristics Continuing Education from the American Society of Plumbing Engineers August 2015 ASPE.ORG/ReadLearnEarn CEU 226 READ, LEARN, EARN Note: In determining your answers to
More informationThe effect of geometric parameters on the head loss factor in headers
Fluid Structure Interaction V 355 The effect of geometric parameters on the head loss factor in headers A. Mansourpour & S. Shayamehr Mechanical Engineering Department, Azad University of Karaj, Iran Abstract
More informationNumerical Simulation of Pressure Surge with the Method of Characteristics
Numerical Simulation of Pressure Surge with the Method of Characteristics R. Fiereder 02.04.2009 Saint Petersburg, Russia Content Motivation Governing Equations Continuity Equation Momentum Equation Method
More informationAtmospheric pressure. 9 ft. 6 ft
Name CEE 4 Final Exam, Aut 00; Answer all questions; 145 points total. Some information that might be helpful is provided below. A Moody diagram is printed on the last page. For water at 0 o C (68 o F):
More informationHydraulic (Piezometric) Grade Lines (HGL) and
Hydraulic (Piezometric) Grade Lines (HGL) and Energy Grade Lines (EGL) When the energy equation is written between two points it is expresses as in the form of: Each term has a name and all terms have
More informationINTERNAL FLOWS / FLOWS IN DUCTS
Fluid and Particulate systems 4451 /018 INTERNAL FLOWS / FLOWS IN DUCTS Ron Zevenhoven ÅA Thermal and Flow Engineering ron.zevenhoven@abo.fi.1 Flow tube sections in series, in parallel, or branched RoNz
More informationDarcy's Law. Laboratory 2 HWR 531/431
Darcy's Law Laboratory HWR 531/431-1 Introduction In 1856, Henry Darcy, a French hydraulic engineer, published a report in which he described a series of experiments he had performed in an attempt to quantify
More informationFluid Mechanics Answer Key of Objective & Conventional Questions
019 MPROVEMENT Mechanical Engineering Fluid Mechanics Answer Key of Objective & Conventional Questions 1 Fluid Properties 1. (c). (b) 3. (c) 4. (576) 5. (3.61)(3.50 to 3.75) 6. (0.058)(0.05 to 0.06) 7.
More informationLecture 30 (Walker: ) Fluid Dynamics April 15, 2009
Physics 111 Lecture 30 (Walker: 15.6-7) Fluid Dynamics April 15, 2009 Midterm #2 - Monday April 20 Chap. 7,Chap. 8 (not 8.5) Chap. 9 (not 9.6, 9.8) Chap. 10, Chap. 11 (not 11.8-9) Chap. 13 (not 13.6-8)
More informationChapter 15B - Fluids in Motion. A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University
Chapter 15B - Fluids in Motion A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University 007 Paul E. Tippens Fluid Motion The lower falls at Yellowstone National
More informationPIPE FLOW. The Energy Equation. The first law of thermodynamics for a system is, in words = +
The Energy Equation PIPE FLOW The first law of thermodynamics for a system is, in words Time rate of increase of the total storage energy of the t Net time rate of energy addition by heat transfer into
More informationCE 6303 MECHANICS OF FLUIDS L T P C QUESTION BANK 3 0 0 3 UNIT I FLUID PROPERTIES AND FLUID STATICS PART - A 1. Define fluid and fluid mechanics. 2. Define real and ideal fluids. 3. Define mass density
More informationHYDRAULIC STRUCTURES, EQUIPMENT AND WATER DATA ACQUISITION SYSTEMS - Vol. I Fluid Mechanics in Pipelines - D. Stephenson
FLUID MECHANICS IN PIPELINES D. Stephenson Water Utilisation Division, University of Pretoria, Pretoria, South Africa Keywords: Flow, turbulence, pipelines, water hammer, head-loss, friction, waterworks,
More informationCIE4491 Lecture. Hydraulic design
CIE4491 Lecture. Hydraulic design Marie-claire ten Veldhuis 19-9-013 Delft University of Technology Challenge the future Hydraulic design of urban stormwater systems Focus on sewer pipes Pressurized and
More informationINSTRUCTIONS FOR LABORATORY EXPERIMENT IN FLUID MECHANICS
INSTRUCTIONS FOR LABORATORY EXPERIMENT IN FLUID MECHANICS VT2010 Pipe Flow: General Information: Attendance at the laboratory experiment is required for completion of the course. The experiments will be
More informationPIPE FLOWS: LECTURE /04/2017. Yesterday, for the example problem Δp = f(v, ρ, μ, L, D) We came up with the non dimensional relation
/04/07 ECTURE 4 PIPE FOWS: Yesterday, for the example problem Δp = f(v, ρ, μ,, ) We came up with the non dimensional relation f (, ) 3 V or, p f(, ) You can plot π versus π with π 3 as a parameter. Or,
More informationDimensions represent classes of units we use to describe a physical quantity. Most fluid problems involve four primary dimensions
BEE 5330 Fluids FE Review, Feb 24, 2010 1 A fluid is a substance that can not support a shear stress. Liquids differ from gasses in that liquids that do not completely fill a container will form a free
More information