CENG1001 Transport Processes I Deadlines: Qu 1 & 2 : Qu 3 & 4: Friday 18th December 2009 Friday 15th January 2010
Coursework
1.
2009, Q6 Heat is conducted through a large flat wall of uniform thickness, which is made of material whose thermal conductivity
Engineering Mathematics 2
Assignment 12
1. A 2 - periodic function ( ) can be represented in Fourier-series form
( )=
(
+
cos
+
sin
)
Show that the coefficients are given by Eulers formulae
=
=
=
1
1
1
2
( )d
( ) cos
d
( ) sin
d
n =1, 2,3,
2. Consider
Engineering Mathematics 2
Assignment 11
1. Evaluate
.d
where, is the circle
+
= 4, = 3 orientated counterclockwise as seen by a person
standing at the origin, and with respect to right-handed Cartesian coordinates.
Here,
=
+
Use Stokes Theorem to evaluate
Engineering Mathematics 2
Assignment 8
1. Calculate
.d
where
=4
(a) C:
=
(b) C:
=
2. If
=
3 +2
+ +
0 1
+ +
+
over each of the following curves from (0, 0, 0) to (1, 1, 1)
0 1
, evaluate
. d
where S is the rectangular box formed by the six planes
= 0, =
Engineering Mathematics 2
Assignment 10
1. Verify the conclusion of Greens Theorem (Curl integral) by evaluation of both sides of
Greens Theorem for the field = + . Take the domains of integration in each case to be
the disk R: +
and its bounding circle
Nazarbayev University, School of Engineering, Eng Maths 2
Engineering Mathematics 2
Assignment 4
Learning Outcomes: This assignment will give you practice in
Div, Grad and Curl
Taylor Series for more than one variable
1. (a) Find the gradient of the scala
Nazarbayev University, School of Engineering, Eng Maths 2
Engineering Mathematics 2
Assignment 2
Learning Outcomes: This assignment will give you practice in
investigating the equations of cross-sections for a function of 3 variables
parameterizing a spac
Nazarbayev University, School of Engineering, Eng Maths 2
Engineering Mathematics 2
Assignment 1
Learning Outcomes: This assignment will give you practice in
double and triple integrals
curves and surfaces
vectors including scalar and vector products
grad
Strategy
1 hour
Section A
Elasticity
Why percentage? Units
Always negative price elasticity of demand
Tells something about market structure
Differentiator will have cross price elasticity
Apple has successfully differentiated itself from its competitors
5. Extended Surfaces (Fins)
Extended Surfaces - Overview
Introduction
The Fin Equation (and boundary conditions)
Fin Efficiency
Fin Effectiveness
Sizing fin length
Heat transfer in common configurations (Shape
Factors)
Extended Surfaces Fins
Extended sur
Analytical vs. Numerical Methods
2T 2T 2T e& 1 T
+ 2+ 2 + =
2
x
y
z
k t
vs.
Analytical
2
2
2
T T T e& 1 T
+
+
+
=
2
2
2
x
y
z
k t
Analytical The Heat Conduction Equation
Heat conduction in many geometries can be approximated to be onedimensional if the
7. Transient Heat Conduction
Transient Heat Conduction
Our analysis so far has mainly considered one
dimensional steady state heat transfer which simplifies
the analysis considerably. i.e. T(x).
The temperature of a body, in general, varies with time as
Overview
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Globalisation
What do you understand by the term Globalisation?
Historically distinct and separate national markets, cultures and ideas are
merging.
According to Friedman, the world is flattening the global economic playing
field is being levelled. The wo
Networks
EU enlargement video
the more we are, the stronger we are
Protectionist?
Europe as a single representation.
OTOH. Makes institutions excessively defensive
GingrichTransparency
Reinforcing defensiveness
Reputation insurance managers. Manage the in
6. Natural Convection in Enclosures
Natural Convection in Enclosures
Enclosure = confined volume
If the walls are at different temperatures the fluid may flow
in loops.
The flow of the fluid enhances the heat transfer, i.e. we
have natural convection.
MSIN7002 - GLOSSARY
FISCAL YEAR the year as reckoned for taxing or accounting purposes. Otherwise known as the
financial year.
INCOME ELASTICITY OF DEMAND measures the responsiveness of the demand for a good to a
change in the income of the people demandi
Engineering Mathematics 2
Assignment 9
1. State the Divergence Theorem. Evaluate both sides of the Divergence Theorem for the vector
field =
over a volume V which is the interior of the unit cube, i.e. the cube whose
vertices are (0,0,0, (1,0,0), (0,1,0),