CIVE HYDRAULIC ENGINEERING PART I Pierre Julien Colorado State University

Size: px
Start display at page:

Download "CIVE HYDRAULIC ENGINEERING PART I Pierre Julien Colorado State University"

Transcription

1 CIVE HYDRAULIC ENGINEERING PART I 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 with HYDROSTATICS 1. A student weighs 135 lb, determine the weight in N, the mass in slugs and in kg. Ans. m = 4.19 slugs 2. A container weighs 450 lb when filled with 4 ft 3 of fluid. If the empty container weighs 50 lb, determine the specific weight, mass density and specific gravity of this fluid. Ans. G = A fish tank is 2 ft long, 1 ft wide and 1 ft deep. What are the pressure and the force at the bottom of the tank? Ans. p = γh = 62.4 psf, W = lb 4. A transducer measures a relative pressure of 65 psi. Determine (1) the value of the pressure in Pascals and (2) the absolute pressure in psi and kpa. Ans. P rel = 448 kpa, P abs = 79.7 psia = 550 kpa

2 5. What is the absolute vapor pressure of water (1) at 30 C in kpa and (2) at 180 F in psia and psfa. Ans. (2) p = 7.51 psia 6. A circular plate has a 2 m diameter. What is its area moment of inertia about the center of gravity? Ans. I XC = m 4 7. A triangular plate has a base of 4 ft and a height of 3 ft. What are: (a) Surface area A? (b) The position of the center of gravity? (c) The area moment of inertia about the horizontal axis through the center of gravity? (d) The area moment of inertia about the base? 2 Ixo IXC A y 3 6ⅹ(1) 2 = 9 ft 4 Ans. A = 6 ft 2, y c = 1 ft, I xc = 3 ft 4, I xo = 9 ft 4

3 Pressure, piezometric head and forces 8. Find the relative and absolute pressure at the pipe centerline at A in kpa, psi and psf. What are the piezometric heads at A and B? C B Ans. p abs_a = kpa 9. A circular plate 2m in diameter serves as a submarine window. Determine the average pressure and force on the vertical plate when the center of gravity of the plate is 500 m below the free surface. Also calculate the distance separating the center of gravity and the center of pressure. Ans. h = 0.5 mm

4 10. The Z m = 2 m circular gate centered at O can only rotate clockwise around a horizontal pivot at C located 5 cm below the center O of the plate. Determine the range of flow depths h for which the gate opens. Ans. Gate opens when h > 4 m 11. A rectangular plate is 4 ft wide and 8 ft long is submerged at an angle of 45 with the vertical. If the center of the plate is located 10 ft vertically below the free water surface, what is the magnitude of the hydrostatic force on the plate and locate the center of pressure. Ans. F = 19,968 lb = 10 tons, CP at a depth of 10.3 ft

5 Dam stability 12. For the dam sketched below, consider a unit width and determine the following: 6ft Concrete 16ft o 24ft A (a) the hydrostatic force on the dam 6ft F V Concrete F H 16ft o 24ft A F C1 F C2 (b) locate the center of pressure (c) the weight of concrete of the dam

6 (d) find the resultant force F R = ( F x ) 2 +( F y ) 2 = (7, 987) 2 +(2, , 800) 2 = 32,783 lb (e) sum the moments about O (f) find the point of application of the resultant force on the base of the dam OA (g) is the resultant passing through the central third of the base? Ans. y cp = 11.4 ft, W c = 28,800 lb, x = 10.6 ft in central third

7 13. Optimization problem! For the dam sketched below, determine the following per unit width: h Concrete O L A (a) calculate the horizontal force on the dam (b) find the vertical force from the weight of concrete (c) find the expression for the sum of moments about O (d) find the expression for the point application of the resultant force on the base of the dam (e) determine the ratio L/h for which the resultant will pass through the midpoint of the base OA (f) what is the range of L/h for which the resultant force would pass through the central portion of the base. Ans. (e) L = 0.91h, (f) no tension cracks when x R < 2L/3, or L > 0.645h

8 14. For the dam sketched below, determine the following per unit width: Y = kx 2 24 m A Concrete O A 12 m dx 4 m A (a) the constant k of the parabolic equation y = kx 2 (b) the horizontal hydrostatic force (c) the weight of water above the dam (d) divide the concrete part into three segments (e) determine the weight and CG for each segment (f) calculate the sum of horizontal and vertical forces (g) determine the resultant force (h) calculate the sum of moments about O 15. Where is Bonneville Dam located? What type of dam? 16. What is the main purpose of Tarbela Dam? 17. Why do we need a clay core in an earth-fill dam? 18. Google photos for Bartlett Dam and Daniel-Johnson Dam. What are the main differences between these two dams? 19. What happened to the 21 mile Dam in Nevada? What type of dam?

9 PIPE FLOW Losses in pipes 20. For the pipe shown below, neglect all minor losses and calculate the velocity of the jet and the discharge in the pipe. Plot the HGL and EGL. Check f on the Moody diagram. Ans. V jet = 36.5 ft/s, Q= 7.15 ft 3 /s, and f = Water flows from reservoir A to B at a water temperature of 10 C. Given the cast iron pipe length 300 m and diameter 1 m, use the Moody diagram to determine the discharge when H = 18 m and h = 3 m. Plot the HGL and the EGL and find the pressure at point P half way between the two reservoirs. Ans. V = 8.24 m/s, Q= 6.5 m 3 /s, and pressure at P = 101 kpa

10 Three-reservoirs 22. For the system shown assume f = 0.02 and determine the discharges in the three pipes and the elevation of the EGL at the junction. K = 8fL gπ 2 D 5 K BD = 169, K AD = 24,788 Ans. Q AD = m 3 /s, Q BD = 0.18 m 3 /s, Q DC = m 3 /s

11 23. For the three reservoirs below, assume f = 0.02 and neglect minor losses. Determine the discharge in each pipe and the energy grade line at node B. K = 8fL gπ 2 D 5 K AB = 12.53, K CB = Ans. Q AB = 2.79 ft 3 /s, Q CB = 1.77 ft 3 /s, Q BD = 4.56 ft 3 /s

12 Pipe networks 24. Write a computer program to solve the pipe network below. All pipe diameters are 150 cm and all pipe lengths are indicated. Assume f = 0.02 and neglect all minor losses. A head of 40m is given at point A. Determine the discharges in all pipes and the EGL at all nodes. Keep printed evidence of your program. Once your model works, recalculate the conditions for the following two cases: (A) replace the outflow at D with an outflow of 0.5 m 3 /s at both B and F; and (2) based on the initial condition sketched below, if you increase the diameter of a single pipe to 250 cm, which pipe would give the maximum head at point F? Ans. Q AB = m 3 /s, Q BC = m 3 /s, Q CD = m 3 /s, Q AD = m 3 /s, Q AE = m 3 /s, Q FE = m 3 /s, Q DF = m 3 /s, Q CG = 0.60 m 3 /s, Q FG = 0.4 m 3 /s. Case A.Q AB = m 3 /s, Q BC = m 3 /s, Q DC = m 3 /s, Q AD = m 3 /s, Q AE = m 3 /s, Q EF = m 3 /s, Q DF = m 3 /s, Q CG = m 3 /s, Q FG = m 3 /s.

13 25. For the system shown, assume f = 0.02 and a piezometric head of 100 ft at point A. Determine the discharges in all pipes and the elevation of the EGL at all nodes. Note that CI designates cast iron and WI wrought iron. Ans. Q AB = 2 ft 3 /s, Q BC = 0.4 ft 3 /s, Q AD = 1.0 ft 3 /s, Q DC = 1.0 ft 3 /s, Q BE = 1.6 ft 3 /s, Q CF = 1.4 ft 3 /s, Q EF = 0.6 ft 3 /s 26. In this example Part I is solved, and you then have to calculate Part II. Part I. - For the system shown all pipes are 12 in diameter. Assume f = 0.02 and a head of 200 ft at point A. Write a computer program to solve this pipe network. Determine the discharges in all pipes and the elevation of the EGL at all nodes.

14 Solution to Problem 26 Part II. - Once you have solved Part I, replace the outflow of 10 cfs at F with 5 cfs outflows at both C and H. Which of the two cases gives a higher pressure at point E?

15 27. In the following network, Part I is solved, you can program this and solve Part II. The pressure at A is 60 psig, all pipes are horizontal, and f = Now, solve it when Qc = 5 cfs and Qe = 10 cfs

16 Minor losses in pipes 28. The pipe system shown is open to the atmosphere at pt 2. Calculate the discharge given f = 0.02 and H = 30 ft. Ans. did you include all losses? Q = 1.66 ft 3 /s 29. For the pipe shown below, assume f = 0.02 and determine the discharge in the pipe when H = 50 ft and plot the EGL and HGL. Secondly, close the valve and find the value of K required to decrease the discharge by 50%? Ans.(1) k exp = 0.57, (K ) V 2 2 and (2) K = 194 2g = 50 ft, V 2 = ft s, Q = 5. 6 ft3 /s;

17 30. For the pipe shown below, determine the pressure in psi half way between A-B. What is the energy loss at the valve B-C? Why would you place a nozzle at the downstream end of the pipe? 31. Ans. ft = 23.7 psi, h BC = ft, to keep high pressure inside the pipe Ans. k con = 0.37, H = ft, t = 140 s

18 Siphon and negative pressure 32. For the 4 pipe shown below, point C is the mid-point of the 200 pipe and determine the following: Neglect all friction losses (a) what is the velocity in the pipe? (b) plot the EGL and HGL (c) what is the energy level at point C? (d) what is the pressure at point C? (e) Assuming the project at sea level and water T at 65 F, how far above the current position could you elevate point C without cavitation Ans. V = 25.4 ft/s, EGL 10 ft above datum, at C, p = -749 psf, h 21.9 ft 33. Repeat Problem 32 with friction losses assuming f = 0.02 and determine the discharge in the pipe? Ans. Q = 0. 6 cfs

19 FORCES and MOMENTUM 34. A nozzle ejects water horizontally at 40 mi/h at a volumetric flow rate of 30 m 3 /s. The stream is deflected horizontally by a plate shown in plan view. Determine the force in kn exerted on the plate by the jet in cases (a), (b) and (c). Ans. (b) R x = 537kN to the left, (c) R x = 1,072kN to the left 35. Use continuity and the sum of forces along the incline plate to determine: (1) the flow distribution, Q 1 and Q 2 as a function of the angle, and (2) the horizontal force on the plate. Ans. Q 1 = 0.5 Q 0 (1 + cos )

20 36. The 1 ft wide vane shown in plan view has a discharge Q 0 = 3 cfs and a jet velocity of 300 ft/s, determine the following: Q 1 = 1.8 cfs 300 ft/s 300 ft/s Q = 3 cfs 300 ft/s Q 2 = 1.2 cfs A. What are the force components F x and F y required to hold the vane in place? B. Find the force components when the plate moves to the right at v p = 100 ft/s? C. What is the work done per unit time on the moving plate? Ans. (a) F x = Q 0 V 0, (b) Q = A(V-v p ), (c) P = 69,840 lb.ft/s

21 37. A discharge of 0.1 m 3 /s passes through the pipe bend shown in planview. If the pressure head on the left hand side is 10 m of water, calculate the force required to anchor this pipe. Ans. p 2 = 22,114 N, R x = 2,375 N to the left, R y = 1,022 N up,

22 38. From the pipe junction in a horizontal plane shown below, what is the velocity of section 3 if the diameter is 0.15m? If the pressure head at (2) is 10 m, determine the pressure head at (3) and find the net force required to hold this junction when = 60. Ans: V 3 = m/s, P 3 = 100, 082 Pa, R x = 348 N right, R y = 1,047 N up

23 39. In the horizontal pipe branch shown here, determine the pressure in each branch and the force required to hold the junction in place. (2) (3) (1) Ans: V 3 = ft/s, p 3 = 1339 psf, R x = 687 lb right, R y = 1,444 lb down 40. Water flows through a horizontal contraction at arate of 25 cfs. The contraction loss coefficient is 0.2 based on the higher velocity. The upstream pipe pressure is 30 psig. What is the anchor force to hold the system in place. Ans: V 1 = ft s, V 2 = ft s, P 1 γ = ft, P 2 γ = ft, p 1 A 1 = 13, 570 lb, ρqv 1 = 390lb, p 2 A 2 = 7, 330 lb, ρqv 2 = 690lb, The anchor force is R x = 5, 940 lb to the left.

24 41. A 1m diameter pipe carries 3 m 3 /s of water at 10 C under constant pressure at 75 kpa. A 30 horizontal pipe bend weighs 4 kn and contains 1.8 m 3 of water. What is the anchor force to hold the bend in place. Ans: p = 75, 000 Pa, V = m s, p 1 A 1 = 58, 875 N, ρqv 1 = 11, 460 N, R x = 9, 420 N to the left, R y = 35, 170N down, The vertical anchor force is R z = 21,658 N vertical upward.

25 Flow meters 42. Neglect friction in the Venturi shown and determine the discharge in the pipe. What is the Cv for this flow condition? What is the discharge difference when using the correction coefficient? Ans. Q = 1.41 ft 3 /s, Cv = 0.98, error less than 2% 43. Derive an expression relating the flow discharge as a function of the parameters indicated in the venturi shown below. Note that the flow results are independent of the angle of the pipe with the horizontal. A B D C Ans. ( V 2 V 1 ) 2 = ( D 1 D 2 ) 4, P γ = (ρ m ρ 1) R, and Q = πd gR (ρ m [( D 4 1) 1] D 2 ρ 1) 1

26 44. In Breckenridge Colorado, a Venturi with d = 15 cm is placed in a D = 30 cm pipe under a head H = 5m. If you neglect friction losses, what is the maximum discharge before cavitation occurs. Ans. Q = m 3 /s 45. What is the main difference between a ball valve and a plug valve? 46. Why are the energy losses in a globe valve so high? 47. What is the main difference between pipes schedule 40 and schedule 80? 48. Why do you need a strainer for a foot valve? 49. What type of valve is the Howell-Bunger valve? 50. What error percentage would you have in taking 1.0 for the calculations of a nozzle when the diameter ratio is less than 0.5?

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 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 information

CIVE HYDRAULIC ENGINEERING PART II Pierre Julien Colorado State University

CIVE 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 information

storage tank, or the hull of a ship at rest, is subjected to fluid pressure distributed over its surface.

storage tank, or the hull of a ship at rest, is subjected to fluid pressure distributed over its surface. Hydrostatic Forces on Submerged Plane Surfaces Hydrostatic forces mean forces exerted by fluid at rest. - A plate exposed to a liquid, such as a gate valve in a dam, the wall of a liquid storage tank,

More information

Chapter 1 INTRODUCTION

Chapter 1 INTRODUCTION Chapter 1 INTRODUCTION 1-1 The Fluid. 1-2 Dimensions. 1-3 Units. 1-4 Fluid Properties. 1 1-1 The Fluid: It is the substance that deforms continuously when subjected to a shear stress. Matter Solid Fluid

More information

1.060 Engineering Mechanics II Spring Problem Set 4

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

More information

Chapter (6) Energy Equation and Its Applications

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

More information

Reynolds, an engineering professor in early 1880 demonstrated two different types of flow through an experiment:

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

More information

Hydraulic (Piezometric) Grade Lines (HGL) and

Hydraulic (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 information

Hydraulics and hydrology

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

More information

Pipe Flow. Lecture 17

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

More information

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

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

More information

Atmospheric pressure. 9 ft. 6 ft

Atmospheric 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 information

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 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 information

FE Fluids Review March 23, 2012 Steve Burian (Civil & Environmental Engineering)

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.

More information

Mass of fluid leaving per unit time

Mass of fluid leaving per unit time 5 ENERGY EQUATION OF FLUID MOTION 5.1 Eulerian Approach & Control Volume In order to develop the equations that describe a flow, it is assumed that fluids are subject to certain fundamental laws of physics.

More information

UNIT I FLUID PROPERTIES AND STATICS

UNIT 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 information

Formulae that you may or may not find useful. E v = V. dy dx = v u. y cp y = I xc/a y. Volume of an entire sphere = 4πr3 = πd3

Formulae that you may or may not find useful. E v = V. dy dx = v u. y cp y = I xc/a y. Volume of an entire sphere = 4πr3 = πd3 CE30 Test 1 Solution Key Date: 26 Sept. 2017 COVER PAGE Write your name on each sheet of paper that you hand in. Read all questions very carefully. If the problem statement is not clear, you should ask

More information

Chapter 4 DYNAMICS OF FLUID FLOW

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

More information

Rate of Flow Quantity of fluid passing through any section (area) per unit time

Rate 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 information

5 ENERGY EQUATION OF FLUID MOTION

5 ENERGY EQUATION OF FLUID MOTION 5 ENERGY EQUATION OF FLUID MOTION 5.1 Introduction In order to develop the equations that describe a flow, it is assumed that fluids are subject to certain fundamental laws of physics. The pertinent laws

More information

2 Internal Fluid Flow

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.

More information

The online of midterm-tests of Fluid Mechanics 1

The online of midterm-tests of Fluid Mechanics 1 The online of midterm-tests of Fluid Mechanics 1 1) The information on a can of pop indicates that the can contains 460 ml. The mass of a full can of pop is 3.75 lbm while an empty can weights 80.5 lbf.

More information

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

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

More information

Chapter Four fluid flow mass, energy, Bernoulli and momentum

Chapter Four fluid flow mass, energy, Bernoulli and momentum 4-1Conservation of Mass Principle Consider a control volume of arbitrary shape, as shown in Fig (4-1). Figure (4-1): the differential control volume and differential control volume (Total mass entering

More information

New Website: M P E il Add. Mr. Peterson s Address:

New Website:   M P E il Add. Mr. Peterson s  Address: Brad Peterson, P.E. New Website: http://njut009fall.weebly.com M P E il Add Mr. Peterson s Email Address: bradpeterson@engineer.com If 6 m 3 of oil weighs 47 kn calculate its If 6 m 3 of oil weighs 47

More information

Benha University College of Engineering at Benha Questions For Corrective Final Examination Subject: Fluid Mechanics M 201 May 24/ 2016

Benha University College of Engineering at Benha Questions For Corrective Final Examination Subject: Fluid Mechanics M 201 May 24/ 2016 Benha University College of Engineering at Benha Questions For Corrective Final Examination Subject: Fluid Mechanics M 01 May 4/ 016 Second year Mech. Time :180 min. Examiner:Dr.Mohamed Elsharnoby Attempt

More information

Steven Burian Civil & Environmental Engineering September 25, 2013

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

More information

Homework 6. Solution 1. r ( V jet sin( θ) + ω r) ( ρ Q r) Vjet

Homework 6. Solution 1. r ( V jet sin( θ) + ω r) ( ρ Q r) Vjet Problem 1 Water enters the rotating sprinkler along the axis of rotation and leaves through three nozzles. How large is the resisting torque required to hold the rotor stationary for the angle that produces

More information

Sourabh V. Apte. 308 Rogers Hall

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

More information

PROPERTIES OF FLUIDS

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

More information

Pressure Head: Pressure head is the height of a column of water that would exert a unit pressure equal to the pressure of the water.

Pressure 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 information

Chapter 3 Fluid Statics

Chapter 3 Fluid Statics Chapter 3 Fluid Statics 3.1 Pressure Pressure : The ratio of normal force to area at a point. Pressure often varies from point to point. Pressure is a scalar quantity; it has magnitude only It produces

More information

For example an empty bucket weighs 2.0kg. After 7 seconds of collecting water the bucket weighs 8.0kg, then:

For example an empty bucket weighs 2.0kg. After 7 seconds of collecting water the bucket weighs 8.0kg, then: Hydraulic Coefficient & Flow Measurements ELEMENTARY HYDRAULICS National Certificate in Technology (Civil Engineering) Chapter 3 1. Mass flow rate If we want to measure the rate at which water is flowing

More information

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

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

More information

Fluid Dynamics Exam #1: Introduction, fluid statics, and the Bernoulli equation March 2, 2016, 7:00 p.m. 8:40 p.m. in CE 118

Fluid Dynamics Exam #1: Introduction, fluid statics, and the Bernoulli equation March 2, 2016, 7:00 p.m. 8:40 p.m. in CE 118 CVEN 311-501 (Socolofsky) Fluid Dynamics Exam #1: Introduction, fluid statics, and the Bernoulli equation March 2, 2016, 7:00 p.m. 8:40 p.m. in CE 118 Name: : UIN: : Instructions: Fill in your name and

More information

NPTEL Quiz Hydraulics

NPTEL 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 information

CE 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 information

Chapter (3) Water Flow in Pipes

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

More information

Mechanical Engineering Programme of Study

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

More information

CEE 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, 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 information

FLOW MEASUREMENT IN PIPES EXPERIMENT

FLOW MEASUREMENT IN PIPES EXPERIMENT University of Leicester Engineering Department FLOW MEASUREMENT IN PIPES EXPERIMENT Page 1 FORMAL LABORATORY REPORT Name of the experiment: FLOW MEASUREMENT IN PIPES Author: Apollin nana chaazou Partner

More information

Hydraulics for Urban Storm Drainage

Hydraulics for Urban Storm Drainage Urban Hydraulics Hydraulics for Urban Storm Drainage Learning objectives: understanding of basic concepts of fluid flow and how to analyze conduit flows, free surface flows. to analyze, hydrostatic pressure

More information

Applications of Integration to Physics and Engineering

Applications of Integration to Physics and Engineering Applications of Integration to Physics and Engineering MATH 211, Calculus II J Robert Buchanan Department of Mathematics Spring 2018 Mass and Weight mass: quantity of matter (units: kg or g (metric) or

More information

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

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

More information

Chapter (3) Water Flow in Pipes

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

More information

CHAPTER 3 BASIC EQUATIONS IN FLUID MECHANICS NOOR ALIZA AHMAD

CHAPTER 3 BASIC EQUATIONS IN FLUID MECHANICS NOOR ALIZA AHMAD CHAPTER 3 BASIC EQUATIONS IN FLUID MECHANICS 1 INTRODUCTION Flow often referred as an ideal fluid. We presume that such a fluid has no viscosity. However, this is an idealized situation that does not exist.

More information

4 Mechanics of Fluids (I)

4 Mechanics of Fluids (I) 1. The x and y components of velocity for a two-dimensional flow are u = 3.0 ft/s and v = 9.0x ft/s where x is in feet. Determine the equation for the streamlines and graph representative streamlines in

More information

Bernoulli and Pipe Flow

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

More information

DIMENSIONS AND UNITS

DIMENSIONS AND UNITS DIMENSIONS AND UNITS A dimension is the measure by which a physical variable is expressed quantitatively. A unit is a particular way of attaching a number to the quantitative dimension. Primary Dimension

More information

STEADY 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 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 information

Fluid Mechanics-61341

Fluid Mechanics-61341 An-Najah National University College of Engineering Fluid Mechanics-61341 Chapter [2] Fluid Statics 1 Fluid Mechanics-2nd Semester 2010- [2] Fluid Statics Fluid Statics Problems Fluid statics refers to

More information

Chapter 6. Losses due to Fluid Friction

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

More information

Flow Measurement in Pipes and Ducts COURSE CONTENT

Flow Measurement in Pipes and Ducts COURSE CONTENT Flow Measurement in Pipes and Ducts Dr. Harlan H. Bengtson, P.E. COURSE CONTENT 1. Introduction This course is about measurement of the flow rate of a fluid flowing under pressure in a closed conduit.

More information

FE Exam Fluids Review October 23, Important Concepts

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

More information

ME3560 Tentative Schedule Spring 2019

ME3560 Tentative Schedule Spring 2019 ME3560 Tentative Schedule Spring 2019 Week Number Date Lecture Topics Covered Prior to Lecture Read Section Assignment Prep Problems for Prep Probs. Must be Solved by 1 Monday 1/7/2019 1 Introduction to

More information

SUMMER 14 EXAMINATION

SUMMER 14 EXAMINATION Important Instructions to examiners: 1) The answers should be examined by key words and not as word-to-word as given in the model answer scheme. 2) The model answer and the answer written by candidate

More information

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

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:

More information

CE MECHANICS OF FLUIDS

CE MECHANICS OF FLUIDS CE60 - MECHANICS OF FLUIDS (FOR III SEMESTER) UNIT II FLUID STATICS & KINEMATICS PREPARED BY R.SURYA, M.E Assistant Professor DEPARTMENT OF CIVIL ENGINEERING DEPARTMENT OF CIVIL ENGINEERING SRI VIDYA COLLEGE

More information

Engineering Mechanics. Equivalent force systems: problems

Engineering Mechanics. Equivalent force systems: problems Engineering Mechanics Equivalent force systems: problems A 36-N force is applied to a wrench to tighten a showerhead. Knowing that the centerline of the wrench is parallel to the x axis. Determine the

More information

The Bernoulli Equation

The Bernoulli Equation The Bernoulli Equation The most used and the most abused equation in fluid mechanics. Newton s Second Law: F = ma In general, most real flows are 3-D, unsteady (x, y, z, t; r,θ, z, t; etc) Let consider

More information

ME3560 Tentative Schedule Fall 2018

ME3560 Tentative Schedule Fall 2018 ME3560 Tentative Schedule Fall 2018 Week Number 1 Wednesday 8/29/2018 1 Date Lecture Topics Covered Introduction to course, syllabus and class policies. Math Review. Differentiation. Prior to Lecture Read

More information

EXPERIMENT No.1 FLOW MEASUREMENT BY ORIFICEMETER

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

More information

Viscous Flow in Ducts

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

More information

A Model Answer for. Problem Set #7

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

More information

CHAPTER 2 Fluid Statics

CHAPTER 2 Fluid Statics Chapter / Fluid Statics CHPTER Fluid Statics FE-type Eam Review Problems: Problems - to -9. (C). (D). (C).4 ().5 () The pressure can be calculated using: p = γ h were h is the height of mercury. p= γ h=

More information

Therefore, the control volume in this case can be treated as a solid body, with a net force or thrust of. bm # V

Therefore, the control volume in this case can be treated as a solid body, with a net force or thrust of. bm # V When the mass m of the control volume remains nearly constant, the first term of the Eq. 6 8 simply becomes mass times acceleration since 39 CHAPTER 6 d(mv ) CV m dv CV CV (ma ) CV Therefore, the control

More information

Part A: 1 pts each, 10 pts total, no partial credit.

Part A: 1 pts each, 10 pts total, no partial credit. Part A: 1 pts each, 10 pts total, no partial credit. 1) (Correct: 1 pt/ Wrong: -3 pts). The sum of static, dynamic, and hydrostatic pressures is constant when flow is steady, irrotational, incompressible,

More information

CHARACTERISTIC OF FLUIDS. A fluid is defined as a substance that deforms continuously when acted on by a shearing stress at any magnitude.

CHARACTERISTIC OF FLUIDS. A fluid is defined as a substance that deforms continuously when acted on by a shearing stress at any magnitude. CHARACTERISTIC OF FLUIDS A fluid is defined as a substance that deforms continuously when acted on by a shearing stress at any magnitude. In a fluid at rest, normal stress is called pressure. 1 Dimensions,

More information

Consider a control volume in the form of a straight section of a streamtube ABCD.

Consider a control volume in the form of a straight section of a streamtube ABCD. 6 MOMENTUM EQUATION 6.1 Momentum and Fluid Flow In mechanics, the momentum of a particle or object is defined as the product of its mass m and its velocity v: Momentum = mv The particles of a fluid stream

More information

Chapter 3 Bernoulli Equation

Chapter 3 Bernoulli Equation 1 Bernoulli Equation 3.1 Flow Patterns: Streamlines, Pathlines, Streaklines 1) A streamline, is a line that is everywhere tangent to the velocity vector at a given instant. Examples of streamlines around

More information

S.E. (Mech.) (First Sem.) EXAMINATION, (Common to Mech/Sandwich) FLUID MECHANICS (2008 PATTERN) Time : Three Hours Maximum Marks : 100

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

More information

V/ t = 0 p/ t = 0 ρ/ t = 0. V/ s = 0 p/ s = 0 ρ/ s = 0

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

More information

IDE 110 Mechanics of Materials Spring 2006 Final Examination FOR GRADING ONLY

IDE 110 Mechanics of Materials Spring 2006 Final Examination FOR GRADING ONLY Spring 2006 Final Examination STUDENT S NAME (please print) STUDENT S SIGNATURE STUDENT NUMBER IDE 110 CLASS SECTION INSTRUCTOR S NAME Do not turn this page until instructed to start. Write your name on

More information

CEE 3310 Control Volume Analysis, Oct. 10, = dt. sys

CEE 3310 Control Volume Analysis, Oct. 10, = dt. sys CEE 3310 Control Volume Analysis, Oct. 10, 2018 77 3.16 Review First Law of Thermodynamics ( ) de = dt Q Ẇ sys Sign convention: Work done by the surroundings on the system < 0, example, a pump! Work done

More information

Only if handing in. Name: Student No.: Page 2 of 7

Only if handing in. Name: Student No.: Page 2 of 7 UNIVERSITY OF TORONTO FACULTY OF APPLIED SCIENCE AND ENGINEERING FINAL EXAMINATION, DECEMBER 10, 2014 2:00 PM 2.5 HOURS CHE 211F FLUID MECHANICS EXAMINER: PROFESSOR D.G. ALLEN ANSWER ALL SEVEN (7) QUESTIONS

More information

Lesson 37 Transmission Of Air In Air Conditioning Ducts

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).

More information

3.25 Pressure form of Bernoulli Equation

3.25 Pressure form of Bernoulli Equation CEE 3310 Control Volume Analysis, Oct 3, 2012 83 3.24 Review The Energy Equation Q Ẇshaft = d dt CV ) (û + v2 2 + gz ρ d + (û + v2 CS 2 + gz + ) ρ( v n) da ρ where Q is the heat energy transfer rate, Ẇ

More information

Lagrangian description from the perspective of a parcel moving within the flow. Streamline Eulerian, tangent line to instantaneous velocity field.

Lagrangian description from the perspective of a parcel moving within the flow. Streamline Eulerian, tangent line to instantaneous velocity field. Chapter 2 Hydrostatics 2.1 Review Eulerian description from the perspective of fixed points within a reference frame. Lagrangian description from the perspective of a parcel moving within the flow. Streamline

More information

Q1 Give answers to all of the following questions (5 marks each):

Q1 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 information

Chapter Four Hydraulic Machines

Chapter Four Hydraulic Machines Contents 1- Introduction. - Pumps. Chapter Four Hydraulic Machines (لفرع الميكانيك العام فقط ( Turbines. -3 4- Cavitation in hydraulic machines. 5- Examples. 6- Problems; sheet No. 4 (Pumps) 7- Problems;

More information

Lesson 6 Review of fundamentals: Fluid flow

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

More information

Water Circuit Lab. The pressure drop along a straight pipe segment can be calculated using the following set of equations:

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

More information

ME-B41 Lab 1: Hydrostatics. Experimental Procedures

ME-B41 Lab 1: Hydrostatics. Experimental Procedures ME-B41 Lab 1: Hydrostatics In this lab you will do four brief experiments related to the following topics: manometry, buoyancy, forces on submerged planes, and hydraulics (a hydraulic jack). Each experiment

More information

Figure 1 Answer: = m

Figure 1 Answer: = m Q1. Figure 1 shows a solid cylindrical steel rod of length =.0 m and diameter D =.0 cm. What will be increase in its length when m = 80 kg block is attached to its bottom end? (Young's modulus of steel

More information

Properties and Definitions Useful constants, properties, and conversions

Properties and Definitions Useful constants, properties, and conversions Properties and Definitions Useful constants, properties, and conversions gc = 32.2 ft/sec 2 [lbm-ft/lbf-sec 2 ] ρwater = 1.96 slugs/ft 3 γwater = 62.4 lb/ft 3 1 ft 3 /sec = 449 gpm 1 mgd = 1.547 ft 3 /sec

More information

Final 1. (25) 2. (10) 3. (10) 4. (10) 5. (10) 6. (10) TOTAL = HW = % MIDTERM = % FINAL = % COURSE GRADE =

Final 1. (25) 2. (10) 3. (10) 4. (10) 5. (10) 6. (10) TOTAL = HW = % MIDTERM = % FINAL = % COURSE GRADE = MAE101B: Advanced Fluid Mechanics Winter Quarter 2017 http://web.eng.ucsd.edu/~sgls/mae101b_2017/ Name: Final This is a three hour open-book exam. Please put your name on the top sheet of the exam. Answer

More information

Fluids Engineering. Pipeline Systems 2. Course teacher Dr. M. Mahbubur Razzaque Professor Department of Mechanical Engineering BUET

Fluids Engineering. Pipeline Systems 2. Course teacher Dr. M. Mahbubur Razzaque Professor Department of Mechanical Engineering BUET COURSE NUMBER: ME 423 Fluids Engineering Pipeline Systems 2 Course teacher Dr. M. Mahbubur Razzaque Professor Department of Mechanical Engineering BUET 1 SERIES PIPE FLOW WITH PUMP(S) 2 3 4 Colebrook-

More information

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

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

More information

Fluid Mechanics Discussion. Prepared By: Dr.Khalil M. Al-Astal Eng.Ahmed S. Al-Agha Eng.Ruba M. Awad

Fluid Mechanics Discussion. Prepared By: Dr.Khalil M. Al-Astal Eng.Ahmed S. Al-Agha Eng.Ruba M. Awad Discussion Prepared By: Dr.Khalil M. Al-Astal Eng.Ahmed S. Al-Agha Eng.Ruba M. Awad 2014-2015 Chapter (1) Fluids and their Properties Fluids and their Properties Fluids (Liquids or gases) which a substance

More information

Hydraulics Part: Open Channel Flow

Hydraulics Part: Open Channel Flow Hydraulics Part: Open Channel Flow Tutorial solutions -by Dr. K.N. Dulal Uniform flow 1. Show that discharge through a channel with steady flow is given by where A 1 and A 2 are the sectional areas of

More information

New Website: Mr. Peterson s Address:

New Website:   Mr. Peterson s  Address: Brad Peterson, P.E. New Website: http://njut2009fall.weebly.com Mr. Peterson s Email Address: bradpeterson@engineer.com Lesson 1, Properties of Fluids, 2009 Sept 04, Rev Sept 18 Lesson 2, Fluid Statics,

More information

Chapter Four Hydraulic Machines

Chapter Four Hydraulic Machines Contents 1- Introduction. 2- Pumps. Chapter Four Hydraulic Machines (لفرع الميكانيك العام فقط ( Turbines. -3 4- Cavitation in hydraulic machines. 5- Examples. 6- Problems; sheet No. 4 (Pumps) 7- Problems;

More information

Pressure and Flow Characteristics

Pressure 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 information

10.52 Mechanics of Fluids Spring 2006 Problem Set 3

10.52 Mechanics of Fluids Spring 2006 Problem Set 3 10.52 Mechanics of Fluids Spring 2006 Problem Set 3 Problem 1 Mass transfer studies involving the transport of a solute from a gas to a liquid often involve the use of a laminar jet of liquid. The situation

More information

COURSE NUMBER: ME 321 Fluid Mechanics I 3 credit hour. Basic Equations in fluid Dynamics

COURSE NUMBER: ME 321 Fluid Mechanics I 3 credit hour. Basic Equations in fluid Dynamics COURSE NUMBER: ME 321 Fluid Mechanics I 3 credit hour Basic Equations in fluid Dynamics Course teacher Dr. M. Mahbubur Razzaque Professor Department of Mechanical Engineering BUET 1 Description of Fluid

More information

HOMEWORK ASSIGNMENT ON BERNOULLI S EQUATION

HOMEWORK ASSIGNMENT ON BERNOULLI S EQUATION AMEE 0 Introduction to Fluid Mechanics Instructor: Marios M. Fyrillas Email: m.fyrillas@frederick.ac.cy HOMEWORK ASSIGNMENT ON BERNOULLI S EQUATION. Conventional spray-guns operate by achieving a low pressure

More information

Piping Systems and Flow Analysis (Chapter 3)

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

More information

Fluids. Fluids in Motion or Fluid Dynamics

Fluids. 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 information

CVE 372 HYDROMECHANICS EXERCISE PROBLEMS

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

More information

Orifice and Venturi Pipe Flow Meters

Orifice and Venturi Pipe Flow Meters Orifice and Venturi Pipe Flow Meters For Liquid and Gas Flow by Harlan H. Bengtson, PhD, P.E. 1. Introduction Orifice and Venturi Pipe Flow Meters The flow rate of a fluid flowing in a pipe under pressure

More information