ME2101
AA/Prof
M O Lai
[email protected]
1
1. Design against fatigue
2. Design of shafts
3. Selection of rolling bearings
4. Selection of materials
2
Fatigue
Static or quasi-static loading in
engineering practice is rare.
More common and realistic to
CH 4 Sequences & Series
1. Infinite sequences
A sequence of real numbers
:
Limits of sequences
Convergent or divergent
The limit of
If
If
, if it exists, is unique.
, we say that
is convergent,
&
converges to L.
doesnt exist, we say that
is divergent.
2 Properties of Fluids
ME2134 Fluid Mechanics I
2
ME2134 Fluid Mechanics I
Properties of Fluids
2-1
2
2.1
2.2
2.3
Properties of Fluids
2 Properties of Fluids
Density, Specific Weight and Specific Gravity
Viscosity
No-Slip Condition
Strain Rate and Velocit
CH 8- Multiple Integrals
Recall (definite integral)
n
lim f ( xk )x
n k =1
1. Double
Integrals
( z = f(x, y) )
( xi , yi )Ai
n = 16
n = 256
n = 64
Geometrical Meaning
If f(x,y) 0, then
= the volume of
the solid as shown.
Properties of Double Integrals
2
CH 7- Functions of Several Variables
1. Introduction
In many practical situations, the value of
a quantity may depend on more than one
variable.
Volume of right circular cylinder:
V = rh
The Ideal Gas Law. The pressure(P),
temperature(T) & volume(V) of
There is NO final examination
for thi
f this module !
d l
Assessment is based on one
small group design assignment
(
(25%) and a q
)
quiz (
(75%). (Small
) (
group = minimum 2 maximum 3
students)
Tutorial:
Prof Lai None
Prof Seah Yes
E-mail address:
mpel
Human Factors in Design
Ergonomic in everyday things
Human factors (or ergonomics) is the science
of adapting products to match the human
body and mind
mind.
It focuses on the product user and aims to
user,
ensure products are easy to use, easy to
learn,
CH 8- Multiple Integrals
Recall (definite integral)
n
lim f ( xk )x
n k =1
1. Double
Integrals
( z = f(x, y) )
( xi , yi )Ai
n = 16
n = 256
n = 64
Geometrical Meaning
If f(x,y) 0, then
= the volume of
the solid as shown.
Properties of Double Integrals
H
CH 10 Surface Integrals
1. Parametric Surfaces
Parametric curves in space :
r(t) = x(t)i + y(t)j + z(t)k , a t b
Parametric surfaces in space :
the parametric eqns of the surface
Why parametric ?
It represents the points on surfaces
explicitly
It des
CH 10 Surface Integrals
1. Parametric Surfaces
Parametric curves in space :
r(t) = x(t)i + y(t)j + z(t)k , a t b
Parametric surfaces in space :
v
r
(u,v)
u
the parametric equations of the surface
Why parametric ?
It represents the points on surfaces
e
CH 4 Sequences & Series
1. Infinite sequences
A sequence of real numbers
:
Limits of Sequences
Convergent or divergent
The limit of
If
If
, if it exists, is unique.
, we say that
is convergent,
&
converges to L.
doesnt exist, we say that
is divergent.
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
Rm EA-02-01 Tel: 6601-2054
[email protected]
TT Lim
Rm E2-03-18
3 hrs of lectures per we
Material selection is a key step in design
process. It is as important as load and stress
analysis, and the design itself.
There are over 40,000 useful metallic alloys
and about same number of non-metallic
engineering materials
Material must enable part
Material selection is a key step in design
process. It is as important as load and stress
analysis, and the design itself.
There are over 40,000 useful metallic alloys
and about same number of non-metallic
engineering materials
Material must enable part
Material selection is a key step in design
p
process. It is as important as load and stress
p
analysis, and the design itself.
There are over 40,000 useful metallic alloys
and about same number of non-metallic
engineering materials
Material must enable p
A/Prof. M O Lai
Room: E2-02-23
E-mail address:
[email protected]
Tel: 6516 2577
Some information.
There is NO final examination
for this module !
Assessment is based on one
small group design assignment
(25%) and a quiz (75%). (Small
group = minimum 2 m
Historically, two primary factors consumers
looked for in the past are cost and technology
technology.
New products were primarily based on
technological innovations.
Challenge was to make products in large
quantities at low cost. Appearance and usabil
It was the
worlds worst
airline disaster
involving people
on the ground.
ground
Eight minutes
after the Boeing
747 cargo
plane, EL AL
Flight 1862, lost
g
,
two engines, it
crashed into a
block of flats in
Amsterdam.
Was anything
learnt f
l
t from the
th
t
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 Mechani
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
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
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
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
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
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
4 Principles of Fluid Motion
4.1 System and Control Volume
4.2 Lagrangian and Eulerian Flow Descriptions
4.3 Flow