# LECTURE 6- ENERGY LOSSES IN HYDRAULIC SYSTEMS SELF EVALUATION QUESTIONS AND ANSWERS

Size: px
Start display at page:

Transcription

1 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 rate of m 3 /s 2.A directional control valve with an effective area of m 2 provides a pressure drop of kpa at if the fluid has a specific gravity of 0.9, find flow coefficient K factor for the valve. Find also the capacity coefficient of this valve. 3. Oil ( SG=0.9 and kinematic viscosity = m 2 /s) flows at a rate of m3/s through a 20 mm diameter commercial steel pipe. What is the equivalent length of a 20mm wide open gate valve placed in the line. 4.Oil with a kinematic viscosity of 0.32 rate of 375 l/min. Is the flow laminar or turbulent? /s is flowing through a 25 mm pipe at the 5. Oil with a specific gravity of 0.85 and an absolute viscosity of 0.44Ns/ is flowing in a 25mm diameter pipe 120m long at the rate of 55.1 l/min. Determine the type of flow and calculate the pressure drop. 6. Oil with a specific gravity of 0.85 and a kinematic viscosity of /s is flowing through a 50 mm diameter commercial steel pipe at the rate of 3500 l/min. What is the pressure drop in 150m. 7. A hydraulic pump delivers oil at 60 bar, 120 l/min into a circuit laid on a horizontal plane. There are four elbows (K = 0.75), one globe valve fully open (K=10) and a direction control valve (pressure drop = 3 bar) with the inside diameter of the pipe as 30 mm. The total length of the straight run pipe is 20m and the specific gravity of the oil is 0.9. The kinematic viscosity of the oil is /s. Determine the pressure at the exit point of the pipe.

2 8. The system as shown in Figure 1 contains a pump delivering high pressure oil of specific gravity 0.9 and kinematic viscosity 1.25 /s, to a hydraulic motor. A pipe connects the pump and motor has an inner diameter of 25 mm and length 15 m. The pipe has two elbow fittings (K=0.75) and one check in valve (K=4.0). The motor is placed 6m above the pump. The inlet pressure to the motor is 34 bar. Determine the pump discharge pressure, if the discharge from the pump is 150 l/min. Elbow K= Moto r Load Pump 1 Check Valve K=0.75 Pipe length = 15m 25 mm (ID) Elbow C K=0.75 Figure 1 for the Problem No 8

3 Q1 Solution K = 0.19 for the wide open gate valve ( from the table) The pressure loss is Q2 Solution We know that Using 2 in 1, we get Also For a give opening position, a valve behaves as an orifice Flow through the orifice is given by ( for details see chapter on flow through valves).

4 Where Q= volume flow rate in LPM= = LPM = capacity coefficient = 0.80 for sharp edges orifice, c= 0.6 for square edged orifice. A = area of orifice opening in mm 2 = m 2 = mm 2 = pressure drop across the orifice ( kpa)= bar =275.8 kpa. SG= specific gravity of flowing fluid = 0.9 Substituting all the values we get =0.473 Note that and K are dimensionless. Values are independent of system of units. Q3 Solution We know that =

5 Q4 Solution Velocity of flow, V = Reynolds number, Re= = = m/s = = The Reynolds number is greater than So the flow is turbulent. Q5 Solution Velocity of flow V = = = 1.87 m/s Reynolds number, Re = The Reynolds number is less than So the flow is laminar. For laminar flow,friction factor f = = = Head loss, = f = = 60.66m = 5.06 bar Pressure drop = = ( ) = 5.06 Ns/

6 Q6 Solution Velocity of flow V = = = m/s Reynolds number Re = = The Reynolds number is greater than So the flow is turbulent. The pipe used is a commercial steel pipe. So absolute roughness = mm Relative roughness = Now locate and values in Moody diagram. Draw the projections and find the meeting point. Draw the projections and find the meeting. Draw a projection from the meeting point to f axis. The f value obtained is 0.02 Head loss =f = 0.02 = 2699 Pressure loss= = ( ) 2699 = 225 N/ = 225 bar Q7 Solution Velocity of flow V = = ( ) = 2.83m/s Reynolds number Re = = = 849 The Reynolds number is less than 2000, so the flow is laminar. Since the flow is laminar,friction factor f = = = K factors for the valves and fittings 4 elbows (K=0.75) = 3

7 1 Globe valve(k=10) = 10/13 Total equivalent length, L e = Pipe length + Equivalent length for fittings = = 25.2 m Head Loss =f = = m Pressure drop in pipe and fittings = = ( ) = 2.27 N/ = 2.27 bar Pressure drop in direction control valve = 3 bar Pressure at the exit of the pipe = 60 ( ) = bar Q8 Solution Velocity of flow in the pipe V = = { } = 5.09 m/s Elbow K= Moto r Load Pump 1 Check Valve K=0.75 Pipe length = 15m 25 mm (ID) Elbow C K=0.75 Reynolds number = = Figure 1 for the Problem No 8 = 1018 The Reynolds number is less than So the flow is laminar. Since the flow is laminar f = = =

8 K value for the fittings and valves = (2 0.75) + 4 Total equivalent length = length of pipe + equivalent length of fittings = 15 + = 15 + { } = m Head Loss = f = = m Applying Bernoulli s equation between station 1 and 2 Here, ; = , [where, change in datum head ] = m = ( ) = 5.6 N/m 2 = 5.6 bar Pump discharge pressure = = 39.6 bar.

### FLUID 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

### Calculation of Pipe Friction Loss

Doc.No. 6122-F3T071 rev.2 Calculation of Pipe Friction Loss Engineering Management Group Development Planning Department Standard Pump Business Division EBARA corporation October 16th, 2013 1 / 33 2 /

### Pipe 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

### Water 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

### Mechanical 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

### Reynolds, 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

### Hydraulics 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

### Applied 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

### 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

### 2 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.

### Chapter (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

### When 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:

### CVE 372 HYDROMECHANICS EXERCISE PROBLEMS

VE 37 HYDROMEHNIS EXERISE PROLEMS 1. pump that has the characteristic curve shown in the accompanying graph is to be installed in the system shown. What will be the discharge of water in the system? Take

### Piping 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

### Chapter 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

### Signature: (Note that unsigned exams will be given a score of zero.)

Neatly print your name: Signature: (Note that unsigned exams will be given a score of zero.) Circle your lecture section (-1 point if not circled, or circled incorrectly): Prof. Dabiri Prof. Wassgren Prof.

### Applied 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

### FE 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.

### FE 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

### BACHELOR OF TECHNOLOGY IN MECHANICAL ENGINEERING (COMPUTER INTEGRATED MANUFACTURING)

No. of Printed Pages : 6 BME-028 BACHELOR OF TECHNOLOGY IN MECHANICAL ENGINEERING (COMPUTER INTEGRATED MANUFACTURING) Term-End Examination December, 2011 00792 BME-028 : FLUID MECHANICS Time : 3 hours

### EXPERIMENT 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

### ME 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

### PIPING SYSTEMS. Pipe and Tubing Standards Sizes for pipes and tubes are standardized. Pipes are specified by a nominal diameter and a schedule number.

PIPING SYSTEMS In this chapter we will review some of the basic concepts associated with piping systems. Topics that will be considered in this chapter are - Pipe and tubing standards - Effective and hydraulic

### LEAKLESS COOLING SYSTEM V.2 PRESSURE DROP CALCULATIONS AND ASSUMPTIONS

CH-1211 Geneva 23 Switzerland EDMS No. ST/CV - Cooling of Electronics & Detectors GUIDE LEAKLESS COOLING SYSTEM V.2 PRESSURE DROP CALCULATIONS AND ASSUMPTIONS Objectives Guide to Leakless Cooling System

### EXPERIMENT NO: F5. Losses in Piping Systems

SJSU ME115 - THERMAL ENGINEERING LAB EXPERIMENT NO: F5 Losses in Piping Systems Objective One of the most common problems in fluid mechanics is the estimation of pressure loss. It is the objective of this

### ME 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

### FACULTY 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

### Chapter (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

### 1-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

### Lecture 13 Flow Measurement in Pipes. I. Introduction

Lecture 13 Flow Measurement in Pipes I. Introduction There are a wide variety of methods for measuring discharge and velocity in pipes, or closed conduits Many of these methods can provide very accurate

### A 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

### EXPERIMENT NO. 4 CALIBRATION OF AN ORIFICE PLATE FLOWMETER MECHANICAL ENGINEERING DEPARTMENT KING SAUD UNIVERSITY RIYADH

EXPERIMENT NO. 4 CALIBRATION OF AN ORIFICE PLATE FLOWMETER MECHANICAL ENGINEERING DEPARTMENT KING SAUD UNIVERSITY RIYADH Submitted By: ABDULLAH IBN ABDULRAHMAN ID: 13456789 GROUP A EXPERIMENT PERFORMED

### Chapter 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

### Chapter 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

### Lecture 22. Mechanical Energy Balance

Lecture 22 Mechanical Energy Balance Contents Exercise 1 Exercise 2 Exercise 3 Key Words: Fluid flow, Macroscopic Balance, Frictional Losses, Turbulent Flow Exercise 1 It is proposed to install a fan to

### Exam #2: Fluid Kinematics and Conservation Laws April 13, 2016, 7:00 p.m. 8:40 p.m. in CE 118

CVEN 311-501 (Socolofsky) Fluid Dynamics Exam #2: Fluid Kinematics and Conservation Laws April 13, 2016, 7:00 p.m. 8:40 p.m. in CE 118 Name: : UIN: : Instructions: Fill in your name and UIN in the space

### Chapter 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

### Chapter 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

### P & I Design Limited. 2 Reed Street, Gladstone Industrial Estate, Thornaby, TS17 7AF. Tel: +44 (0) Fax: +44 (0)

ump Sizing & Rating USER MANUAL & I Design Limited Reed Street, Gladstone Industrial Estate, Thornaby, TS7 7AF. Tel: +44 (0) 64 67444 Fax: +44 (0) 64 66447 www.pidesign.co.uk Support: sales@pidesign.co.uk

### Lesson 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

### FLOW 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

### PIPE FLOW. General Characteristic of Pipe Flow. Some of the basic components of a typical pipe system are shown in Figure 1.

PIPE FLOW General Characteristic of Pipe Flow Figure 1 Some of the basic components of a typical pipe system are shown in Figure 1. They include the pipes, the various fitting used to connect the individual

### Chapter 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,

### V/ 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

### Sourabh 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

### CHAPTER 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

### Laboratory work No 2: Calibration of Orifice Flow Meter

Laboratory work No : Calibration of Orifice Flow Meter 1. Objective Calibrate the orifice flow meter and draw the graphs p = f 1 (Q) and C d = f (Re ).. Necessary equipment 1. Orifice flow meter. Measuring

### INSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad AERONAUTICAL ENGINEERING QUESTION BANK : AERONAUTICAL ENGINEERING.

Course Name Course Code Class Branch INSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad - 00 0 AERONAUTICAL ENGINEERING : Mechanics of Fluids : A00 : II-I- B. Tech Year : 0 0 Course Coordinator

### Chemical Engineering 3P04 Process Control Tutorial # 1 Learning goals

Chemical Engineering 3P04 Process Control Tutorial # 1 Learning goals 1. Sensor Principles with the flow sensor example 2. The typical manipulated variable: flow through a conduit Sensors: We need them

### ME 309 Fluid Mechanics Fall 2010 Exam 2 1A. 1B.

Fall 010 Exam 1A. 1B. Fall 010 Exam 1C. Water is flowing through a 180º bend. The inner and outer radii of the bend are 0.75 and 1.5 m, respectively. The velocity profile is approximated as C/r where C

### Viscous 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

### Chapter (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

### Bernoulli and Pipe Flow

Civil Engineering Hydraulics Mechanics of Fluids Head Loss Calculations Bernoulli and The Bernoulli equation that we worked with was a bit simplistic in the way it looked at a fluid system All real systems

### Lesson 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).

### PROPERTIES 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

### Experiment- To determine the coefficient of impact for vanes. Experiment To determine the coefficient of discharge of an orifice meter.

SUBJECT: FLUID MECHANICS VIVA QUESTIONS (M.E 4 th SEM) Experiment- To determine the coefficient of impact for vanes. Q1. Explain impulse momentum principal. Ans1. Momentum equation is based on Newton s

### Review 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

### Chapter 6. Hydraulic cylinders/rams (linear motors), and Lines/fittings. - Transforms the flow of a pressurized fluid into a push or pull of a rod.

Chapter 6. Hydraulic cylinders/rams (linear motors), and Lines/fittings - Transforms the flow of a pressurized fluid into a push or pull of a rod. 6. Single cting Rams Gravity, spring, etc. can force piston

### Determining Liquid Capacity 4 th Annual Pipeline Knowledge Retention Chris Sonneborn November 7, 2013

Determining Liquid Capacity 4 th Annual Pipeline Knowledge Retention Chris Sonneborn November 7, 2013 Outline What is important? Liquid Properties Thermal Conditions Hydraulic Gradient Flow Regime in Liquids

### BME-A PREVIOUS YEAR QUESTIONS

BME-A PREVIOUS YEAR QUESTIONS CREDITS CHANGE ACCHA HAI TEAM UNIT-1 Introduction: Introduction to Thermodynamics, Concepts of systems, control volume, state, properties, equilibrium, quasi-static process,

### PIPE 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

### The Mechatronics Design for Measuring Fluid Friction Losses in Pipe Flows Rıza Gurbuz

Solid State Phenomena Vol. 113 (2006) pp 603-608 Online available since 2006/Jun/15 at www.scientific.net (2006) Trans Tech Publications, Switzerland doi:10.4028/www.scientific.net/ssp.113.603 The Mechatronics

### 1.060 Engineering Mechanics II Spring Problem Set 4

1.060 Engineering Mechanics II Spring 2006 Due on Monday, March 20th Problem Set 4 Important note: Please start a new sheet of paper for each problem in the problem set. Write the names of the group members

### M E 320 Professor John M. Cimbala Lecture 24

M E 30 Professor John M. Cimbala Lecture 4 Today, we will: Discuss pump performance curves Discuss how to match a pump and a piping system, and do some example problems. Pump Performance a. Pump performance

### Experiment (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

### S.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

### Friction Factors and Drag Coefficients

Levicky 1 Friction Factors and Drag Coefficients Several equations that we have seen have included terms to represent dissipation of energy due to the viscous nature of fluid flow. For example, in the

### Pumping Stations Design For Infrastructure Master Program Engineering Faculty-IUG

umping Stations Design For Infrastructure Master rogram Engineering Faculty-IUG Lecture : umping Hydraulics Dr. Fahid Rabah Water and environment Engineering frabah@iugaza.edu The main items that will

### Lecture 4. Lab this week: Cartridge valves Flow divider Properties of Hydraulic Fluids. Lab 8 Sequencing circuit Lab 9 Flow divider

91 Lecture 4 Lab this week: Lab 8 Sequencing circuit Lab 9 Flow divider Cartridge valves Flow divider Properties of Hydraulic Fluids Viscosity friction and leakage Bulk modulus Inertance Cartridge Valves

### ENGINEERING FLUID MECHANICS. CHAPTER 1 Properties of Fluids

CHAPTER 1 Properties of Fluids ENGINEERING FLUID MECHANICS 1.1 Introduction 1.2 Development of Fluid Mechanics 1.3 Units of Measurement (SI units) 1.4 Mass, Density, Specific Weight, Specific Volume, Specific

### s and FE X. A. Flow measurement B. properties C. statics D. impulse, and momentum equations E. Pipe and other internal flow 7% of FE Morning Session I

Fundamentals of Engineering (FE) Exam General Section Steven Burian Civil & Environmental Engineering October 26, 2010 s and FE X. A. Flow measurement B. properties C. statics D. impulse, and momentum

### Major 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

### ACCOUNTING 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

### Applied 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

### Figure 3: Problem 7. (a) 0.9 m (b) 1.8 m (c) 2.7 m (d) 3.6 m

1. For the manometer shown in figure 1, if the absolute pressure at point A is 1.013 10 5 Pa, the absolute pressure at point B is (ρ water =10 3 kg/m 3, ρ Hg =13.56 10 3 kg/m 3, ρ oil = 800kg/m 3 ): (a)

### Applied 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

### R09. d water surface. Prove that the depth of pressure is equal to p +.

Code No:A109210105 R09 SET-1 B.Tech II Year - I Semester Examinations, December 2011 FLUID MECHANICS (CIVIL ENGINEERING) Time: 3 hours Max. Marks: 75 Answer any five questions All questions carry equal

### 9. 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

### ρg 998(9.81) LV 50 V. d2g 0.062(9.81)

6.78 In Fig. P6.78 the connecting pipe is commercial steel 6 cm in diameter. Estimate the flow rate, in m 3 /h, if the fluid is water at 0 C. Which way is the flow? Solution: For water, take ρ = 998 kg/m

### Chapter (4) Motion of Fluid Particles and Streams

Chapter (4) Motion of Fluid Particles and Streams Read all Theoretical subjects from (slides Dr.K.AlASTAL) Patterns of Flow Reynolds Number (R e ): A dimensionless number used to identify the type of flow.

### Northern Lesson 2 Gear Pump Terminology. Gear Pump 101. Lesson 2: Gear Pump Terminology. When your reputation depends on it!

Gear Pump 101 Lesson 2: Gear Pump Terminology When your reputation depends on it! Symbol Term Metric Unit Abbreviation US Customary Unit Abbreviation Conversion factor a A Area square millimeter mm2 square

### Approximate physical properties of selected fluids All properties are given at pressure kn/m 2 and temperature 15 C.

Appendix FLUID MECHANICS Approximate physical properties of selected fluids All properties are given at pressure 101. kn/m and temperature 15 C. Liquids Density (kg/m ) Dynamic viscosity (N s/m ) Surface

### TOTAL 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

### Steven Burian Civil & Environmental Engineering September 25, 2013

Fundamentals of Engineering (FE) Exam Mechanics Steven Burian Civil & Environmental Engineering September 25, 2013 s and FE Morning ( Mechanics) A. Flow measurement 7% of FE Morning B. properties Session

### Chapter 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

### SCHOOL OF CHEMICAL ENGINEERING FACULTY OF ENGINEERING AND TECHNOLOGY SRM UNIVERSITY COURSE PLAN

SCHOOL OF CHEMICAL ENGINEERING FACULTY OF ENGINEERING AND TECHNOLOGY SRM UNIVERSITY COURSE PLAN Course code : CH0317 Course Title : Momentum Transfer Semester : V Course Time : July Nov 2011 Required Text

### FLOW IN CONDUITS. Shear stress distribution across a pipe section. Chapter 10

Chapter 10 Shear stress distribution across a pipe section FLOW IN CONDUITS For steady, uniform flow, the momentum balance in s for the fluid cylinder yields Fluid Mechanics, Spring Term 2010 Velocity

### Prof. Scalo Prof. Vlachos Prof. Ardekani Prof. Dabiri 08:30 09:20 A.M 10:30 11:20 A.M. 1:30 2:20 P.M. 3:30 4:20 P.M.

Page 1 Neatly print your name: Signature: (Note that unsigned exams will be given a score of zero.) Circle your lecture section (-1 point if not circled, or circled incorrectly): Prof. Scalo Prof. Vlachos

### S. Ahmed, M. Q. Islam and A. S. M. Jonayat. Department of Mechanical Engineering, BUET, Dhaka, Bangladesh

Proceedings of the International Conference on Mechanical Engineering 2011 (ICME2011) 18-20 December 2011, Dhaka, Bangladesh ICME11- DETERMINATION OF LOSS COEFFICIENT FOR FLOW THROUGH FLEXIBLE PIPES AND

### Hydroelectric Design

INTERAMERICAN UNIVERSITY OF BAYAMON PUERTO RICO Hydroelectric Design Dr. Eduardo G. Pérez Díaz Erik T. Rosado González 5/14/2012 Hydroelectric design project for fluid class. TABLE OF CONTENTS TABLE OF

### FLUID MECHANICS PROF. DR. METİN GÜNER COMPILER

FLUID MECHANICS PROF. DR. METİN GÜNER COMPILER ANKARA UNIVERSITY FACULTY OF AGRICULTURE DEPARTMENT OF AGRICULTURAL MACHINERY AND TECHNOLOGIES ENGINEERING 1 5. FLOW IN PIPES Liquid or gas flow through pipes

### Fluid Mechanics III. 1. Dimensional analysis and similarity

Fluid Mechanics III 1. Dimensional analysis and similarity Similarity The real world is non-dimensional. The proposition the Eiffel Tower is tall has no sense unless we state what is the object we compare

### EXPERIMENT II - FRICTION LOSS ALONG PIPE AND LOSSES AT PIPE FITTINGS

MM 30 FLUID MECHANICS II Prof. Dr. Nuri YÜCEL Yrd. Doç. Dr. Nureddin DİNLER Arş. Gör. Dr. Salih KARAASLAN Arş. Gör. Fatih AKTAŞ EXPERIMENT II - FRICTION LOSS ALONG PIPE AND LOSSES AT PIPE FITTINGS A. Objective:

### AEROSPACE ENGINEERING DEPARTMENT. Second Year - Second Term ( ) Fluid Mechanics & Gas Dynamics

AEROSPACE ENGINEERING DEPARTMENT Second Year - Second Term (2008-2009) Fluid Mechanics & Gas Dynamics Similitude,Dimensional Analysis &Modeling (1) [7.2R*] Some common variables in fluid mechanics include:

### Chapter 4 DYNAMICS OF FLUID FLOW

Faculty Of Engineering at Shobra nd Year Civil - 016 Chapter 4 DYNAMICS OF FLUID FLOW 4-1 Types of Energy 4- Euler s Equation 4-3 Bernoulli s Equation 4-4 Total Energy Line (TEL) and Hydraulic Grade Line

### Exercise sheet 5 (Pipe flow)

Exercise sheet 5 (Pipe flow) last edited June 4, 2018 These lecture notes are based on textbooks by White [13], Çengel & al.[16], and Munson & al.[18]. Except otherwise indicated, we assume that fluids

### Engineers Edge, LLC PDH & Professional Training

510 N. Crosslane Rd. Monroe, Georgia 30656 (770) 266-6915 fax (678) 643-1758 Engineers Edge, LLC PDH & Professional Training Copyright, All Rights Reserved Engineers Edge, LLC Pipe Flow-Friction Factor

### Fluid Mechanics Prof. T.I. Eldho Department of Civil Engineering Indian Institute of Technology, Bombay. Lecture - 17 Laminar and Turbulent flows

Fluid Mechanics Prof. T.I. Eldho Department of Civil Engineering Indian Institute of Technology, Bombay Lecture - 17 Laminar and Turbulent flows Welcome back to the video course on fluid mechanics. In