4 Principles of Fluid Motion
ME2134 Fluid Mechanics I
4 Principles of Fluid Motion
ME2134 Fluid Mechanics I
4-1
4 Principles of Fluid Motion
Bernoulli Equation
Daniel Bernoulli (1700-1782) was born
in the Netherlands he wrote the book
Hydrodynamica. He ho
Reviews
ME2134
Fluid Mechanics
Reviews
ME2134 Fluid Mechanics I
1-1
Reviews
Chapter 1: Introduction
Key Idea: fluids cannot support a shear stress
Key Idea: Pressure is force normal to surface/area
Key Idea: Shear stress is force tangential
to surface
Key
1 Introduction
ME2134
Fluid Mechanics I
1
ME2134 Fluid Mechanics I
Introduction
1-1
1 Introduction
Organisation
This 4-MC module will be taught by
Nhan Phan-Thien, 11 Aug 19 Sept (6 weeks) (called me Nhn)
Rm EA-02-01 Tel: 6601-2054
nhan@nus.edu.sg (ema
ME 2134-Fluid Mechanics I
Part 2
by
T. T. Lim
Office: E2-03-18
1
Recommended and Reference Texts:
(1)
Cengel Y.A. and Cimbala J.M.:
Fluid Mechanics: Fundamental and Applications (McGraw-Hill 2006)
(2)
E. John Finnemore and Joseph B. Franzini:
Fluid Mechan
3.8.3
Stability of Floating Bodies
Motion of a body consists of a
translational of the centre of
mass, and a rotational motion;
for vibration analysis purpose,
we need only to consider
rotational motion
This is governed by Newtons
law: moment of inertia
anyi 9/ .971,»
55/)? = gnu/W
Hjyll/(I gift I'J 171 I'm
A7401 7! aria/2d [/1 worn/flan? taper!
HI 5/15 ZWWWJ M
rOI'M/a/Ioy UL un'itly 20-%fow arr/7 7476440 aw
L fur/e," 5 Wilt FLO/WM
11:04. n um? r/(cior 3.;[n2/n3
4 z 1 f: (15,725) .3 m pm)
45 550:1 ,5)
4 Principles of Fluid Motion
ME2134 Fluid Mechanics I
4 Principles of Fluid Motion
ME2134 Fluid Mechanics I
4-1
4.5 Conservation of Mass
4 Principles of Fluid Motion
There are 3 conservation laws in Fluid Mechanics:
Conservation of mass
Conservation of mo
ANALYSIS OF PIPE FLOW
128
Pipes of different sizes and shapes are used in many industrial applications,
such as transporting fluids, air-conditioning system, transporting oil and gas
supply, just to name a few.
A satisfactory analysis of pipe flow depends
MOMENTUM EQUATION
AND
ITS APPLICATIONS
22
Methods of Analysing Fluid Systems:
Before we embark on Momentum Principle and its applications, let us
examine two methods of analysing fluid systems which will be useful in the
analyses to follow.
(1) A system i
DIMENSIONAL ANALYSIS
AND
SIMILITUDE
80
Dimensional Analysis is a powerful tool in formulating problems of
physical phenomena, which defy analytical solution and must be solved
experimentally.
This is accomplished by the formation of DIMENSIONLESS groups
Part 2: Tutorial Sheet 1
(SOLUTIONS)
(Q1)
SOLUTION
A
Pa
1m
h=2m
Pc
B
(a) Accelerating upward
From the lecture note:
p
axx
p
az
az
gz
pa
Since ax = 0 and az = 5 m/s2
The above equation becomes
gz
pa
The total force on face AB = pressure at centre of pressu