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
CE 2134 Hydraulics
2016/2017
Tutorial 2: Laminar Flow
QUESTION 1
The flow of water between two 10 m long horizontal fixed parallel plates takes place due to a
pressure drop of 23 m of water across the 10 m length. The parallel plates are infinitely wide a
CE2134 Hydraulics
Department of Civil and Environmental Engineering, NUS
AY2016 Tutorial Solutions (3. Friction in Pipes & Momentum)
CE2134: HYDRAULICS
DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
NATIONAL UNIVERSITY OF SINGAPORE
AY 2016/2017 Tutoria
CE2134 Hydraulics
Department of Civil and Environmental Engineering, NUS
AY2016 Tutorial Questions (3. Friction in Pipes & Momentum)
CE2134: HYDRAULICS
DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
NATIONAL UNIVERSITY OF SINGAPORE
AY 2016/2017 Tutoria
CE2134 Hydraulics
Department of Civil and Environmental Engineering, NUS
AY2016 Tutorial Solutions (1. Basic Concepts of Fluids & Fluid Statics)
CE2134: HYDRAULICS
DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
NATIONAL UNIVERSITY OF SINGAPORE
AY 2016/
CE2134 Hydraulics
Department of Civil and Environmental Engineering, NUS
AY2016 Tutorial Solutions (2. Floating Bodies & Fluid Flow)
CE2134: HYDRAULICS
DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
NATIONAL UNIVERSITY OF SINGAPORE
AY 2016/2017 Tutoria
CE2134 Hydraulics
Department of Civil and Environmental Engineering, NUS
AY2016 Tutorial Questions (2. Floating Bodies & Fluid Flow)
CE2134: HYDRAULICS
DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
NATIONAL UNIVERSITY OF SINGAPORE
AY 2016/2017 Tutoria
CE 2134 Hydraulics
Dr. BAI WEI
Department of Civil and Environmental Engineering
National University of Singapore
Office: E1-05-21
Phone: 6516 2288
Email: w.bai@nus.edu.sg
Background
CE2134 Hydraulics Introduction
0-2
CE2134 Hydraulics Introduction
0-3
CE
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
Linear & Moment of Momentum
1. Momentum equation:
Inertial control volume
CE2134 Hydraulics Linear & Moment of Momentum
5-1
The rate of efflux of momentum across the control surface plus the rate of
change of momentum inside the control volume is balanced
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