Bernoulli Equation
Dr. Yuan Jing, Assistant Professor
Department of Civil and Environmental Engineering, National University of Singapore
To study fluid mechanics, we need to relate forces applied on fluid particles to fluid kinematics.
Bernoulli equation
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CE21 3 4
NATIONAL UNIVERSITY OF SINGAPORE
CE2134 ~ HYDRAULICS
- (Semester 1 : AY2015/2016)
Time Allowed: 2 Hours
INSTRUCTIONS TO CANDIDATES
1. Please write your student number only. Do not write your name.
2. This assessment paper conta
NATIONAL UNIVERSITY OF SINGAPORE
EXAMINATION FOR THE DEGREE OF RENO.
(Semester 1; 2013-2014)
CE2134 HYDRAULICS
Nov/Dec 2013 - Time aliowed: 2 hours
I. This examination paper contains FOURcfw_4) questions and comprises SEVENCT) printed
pages.
EU
Answer
NATIONAL UNIVERSITY OF SINGAPORE
EXAMINATION FOR THE DEGREE OF B.ENG.
(Semester I: 2011-2012)
CE2134 Hydraulics
Nov/ Dec 2011 - Time allowed: 2 hours
INSTRUCTIONS TO CANDIDATES
1.
This examination paper contains FIVE(5) questions and comprises SIX(6) prin
Basic Concepts of Fluids
1. Symbols 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.
The International System of Unites
(S.I. Uni
CE2134 Hydraulics
Department of Civil and Environmental Engineering, NUS
AY2016 Tutorial Questions (1. Basic Concepts of Fluids & Fluid Statics)
CE2134: HYDRAULICS
DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
NATIONAL UNIVERSITY OF SINGAPORE
AY 2016/
NUS CONFIDENTIAL
CE2134
NATIONAL UNIVERSITY OF SINGAPORE
CE2134 HYDRAULICS
(Semester I: AY2014/2015)
Time Allowed: 2 Hours
_
INSTRUCTIONS TO CANDIDATES
1. Please write your student number only. Do not write your name.
2. This assessment paper contains FOU
NATIONAL UNIVERSITY OF SINGAPORE
EXAMINATION FOR THE DEGREE OF B.ENG.
(Semester 1: 2012-2013)
CE2134 - HYDRAULICS
Nov/Dec 2012 - Time allowed: 2 hours
INSTRUCTIONS TO CANDIDATES
1.
This examination paper contains FOUR(4) questions and comprises SIX(6) pri
NATIONAL UNIVERSITY OF SINGAPORE
EXAMINATION FOR THE DEGREE OF B.ENG.
(Semester I: 2009-2010)
CE2134 - HYDRAULICS
November / December 2009 - Time allowed: 2 hours
INSTRUCTIONS TO CANDIDATES
I. This examination paper contains FIVE(5) questions and comprise
NUS CONFIDENTIAL
CE2l34
NATIONAL UNIVERSITY OF SINGAPORE
CE2134 HYDRAULICS
(Semester 2: AY2014/2015)
Time Allowed: 2 Hours
INSTRUCTIONS TO CANDIDATES
1. Please write your student number only. Do not write your name.
2. This assessment paper contains F
MICROSTATION TIPS AND TRICKS
March 1, 2013
FAQ
Keyboard Accelerators
Tips for Beginners
General Tips and Tricks
Text Tips
Reference Tips
3D Tips
Design Files from Outside Sources
Customizing Microstation
Google Earth & Microstation
Frequently Asked Questi
ES1531/GEK1549/GET1021 Critical Thinking and Writing
Weeks 4 & 5 Tutorials 6 8: Deconstructing Arguments
AY2016-17 Semester 1
Learning Objectives:
By the end of this tutorial, you should be able to:
analyze a text: identify the issue, main claim and key
SSS1207 / GES1021
Natural Heritage of Singapore
THE IMPORTANCE OF BIODIVERSITY
IN
SINGAPORES CONTEXT
Keep in mind the following questions as we go through
this lecture:
Should Singapore conserve its natural heritage?
What is so important about biodiversit
CE 2155: Structural Mechanics and Materials Aluminium Beam Design Project (2016/17 Semester
2) Professor Koh Chan Ghee
Department of Civil & Environmental Engineering, NUS
Briefing on 19/1/2017 (Thursday) 10 am @ LT6
Objectives:
To expose students to eng
3.5 Reactions at Supports and Connections
For 2-dimensional bodies, the various kinds of supports are
cable
One unknown. The reaction is a tension
force which acts away from the member
in the direction of the cable
weightless link
roller
roller or pin in
TOPIC 6: REYNOLDS TRANSPORT
THEOREM
HYDRAULICS (CE2134)
Dr. Yuan Jing,
Department of Civil and Environmental Engineering
Office: E2-05-20
Phone: 65162160
Email: ceeyuan@nus.edu.sg
Differential analysis Vs. Integral analysis
Thrust=?
Differential analysis:
Torsional Members
DeformationsinaCircularShaft
TheTorsionFormula
AngleofTwist
CE1109 Statics and Mechanics of Materials
1
DeformationinACircularShaft
r
x
L
d
x
xy
xy
dx
L
Consider an inner point within the cylindrical shaft
x
rd
dx
max
At r = 0,
CE2134: Hydraulics (Part I)
Semester 2 AY16/17
Instructors:
Dr. Yuan Jing, Assistant Professor (Office hour: Wednesday: 4-6PM, or by appointment)
Office: E2-05-20, Email: ceeyuan@nus.edu.sg, Tel: 6516 2160
Module description:
This module introduces the st
CE2134 Hydraulics by Bai Wei
Basic Concepts of Fluids
1. Symbols and units . 1
1.1 Dimensional homogeneity . 5
2. Characteristics of fluids . 6
2.1 The continuum. 7
3. Basic fluid properties. 10
4. Taylor series expansion in fluid mechanics . 11
5. Newton
Fluid Statics & Floating Bodies
1. Stress at a point
1.1 Surface and body forces
Two types of forces on a parcel of fluid
can be defined body forces and
surface forces. Body forces include all
external forces developed with the parcel
of fluid without phy
NATIONAL UNIVERSITY OF SINGAPORE
EXAMINATION FOR THE DEGREE OF B.ENG.
(Semester I: 2010-2011)
CE2134 - HYDRAULICS
Nov/ Dec 2010 - Time allowed: 2 hours
INSTRUCTIONS TO CANDIDATES
1.
This examination paper contains FIVE(5) questions and comprises FIVE(5) p
Basic Concepts of Fluids
1. Symbols and units
meter
(m)
mass
kilogram
(kg)
time
second
(s)
ampere
(A)
temperature
degree Kelvin
(0K)
force
Newton
(N=kg m/s2)
pascal
(Pa=N/m2)
stress
pascal
(Pa=N/m2)
work, energy
joule
(J=N m)
watt
(J/s)
frequency
The Inte
1st Law of Thermodynamics &
Friction in Pipes
CE2134 (AY2012) Hydraulics by Bai Wei
1. Mechanical energy of a flowing fluid. 1
2. First law of thermodynamics for pipe flow . 2
3. Eulers equation for ideal fluid flow along a streamline . 6
3.1 Flow through
1st Law of Thermodynamics & Friction in Pipes
1. Mechanical energy of
a flowing fluid
The potential energy of the
fluid element per unit mass is
( gA s ) z
PE
= = gz
The work done by fluid
( A s )
pressure per unit mass of the
fluid as the fluid element
m
Fluid Flow & Reynolds Transport
Theorem
CE2134 (AY2012) Hydraulics by Bai Wei
1. Types of flow . 1
1.1 Real or ideal fluid . 1
1.2 Incompressible or compressible flow . 2
1.3 Steady or unsteady flow . 2
1.4 One-dimensional, 2-dimensional or 3-dimensional
Fluid Flow & Reynolds Transport Theorem
1. Types of flow
CE2134 Hydraulics Fluid Flow & Reynolds Transport Theorem
3-1
1.1 Real or ideal fluid
An ideal fluid is one which has no viscosity and hence, no shear stresses
exist within the flow of such an imagi
Fluid Statics & Floating Bodies
1. Stress at a point
1.1 Surface and body forces
Two types of forces on a parcel of fluid
can be defined body forces and
surface forces. Body forces include all
external forces developed with the parcel
of fluid without phy