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
Brand new for academic year 2016/17, located in the heart of Bloomsbury, Central London, Garden Halls is a
fantastic new development offering cutting edge, affordable student accommodation with outstanding
facilities designed to meet the needs
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
UNIVERSITY COLLEGE LONDON
EXAMINATION FOR INTERNAL STUDENTS
MODULE CODE
:
CENG1007
:
CENG1007A
MODULE NAME
:
Physical Chemistry for Chemical Engineers
DATE
:
20-May-11
TIME
:
10:00
TIME ALLOWED
:
3 Hours 0 Minutes
ASSESSMENT
PATTERN
2010/11-CENG1007A-001-
Multiphase systems
Multiphase systems
Phase diagrams
Phase diagram for water
P
Supercritical
Fluid
218.3 atm
1 atm
Critical
Point
Liquid
d
Gas
So
li
A plot of one system variable against another showing conditions
at which a substance exists as a solid, l
Distillation
Distillation
Distillation
Flash vessel
V, y
The most common or prevalent method of separating mixtures for
purification is distillation:
Flash Distillation versus Rectification Distillation :
I
I
both based on boiling of liquid mixtures but l
Introduction to Chemical Reactors
Part of CENG1004 Course, Introduction to Chemical
Engineering
A. Gavriilidis
1
Some recommendations
Aide memoir
Take notes
Useful Books
Coulson and Richardsons, Chemical Engineering, Volume 3, Chapter 1, 3rd
Edition, 1994
Energy Balances
Energy Balances
Energy Balances
Example 7.2-1
Forms of energy:
kinetic due to motion relative to some frame of reference:
Ek = 12 mv 2 where v is the velocity (and E k = 12 mv
2 ).
potential due to position within a potential field, such
Sensible & Latent heats
Sensible & Latent heats
Types of heat
Sensible heat
In working with materials, we can classify heat in two ways depending
on what effect it has on material:
sensible heat which signifies heat that must be transferred to
raise or lo
Introduction
Recommended textbooks
Process Analysis
Mass and energy balances
1
Professor Eric S Fraga
2
Room 2.05, Engineering Front Building
Department of Chemical Engineering
phone: 020 7679 3817 / x33817
email: [email protected]
web: www.homepages.ucl.
Heats of reaction
Heats of reaction
Observations
Heat of reaction
r (T , P) is the enthalpy change for a process in which
H
stoichiometric quantities of reactants at temperature T and pressure
P react completely in a single reaction to form products at t
Material balances for reactions
Material balances for reactions
Chemical Reactions
Stoichiometry
Mass balance analysis for processes involving reactions must include
the consumption and generation terms from the general mass balance
equation:
input + gene
Single phase systems
Single phase systems
Estimates of density
Ideal Gases
Liquids and solids are essentially incompressible. We can estimate the
average density of a mixture, by
1 X xi
=
i i
The ideal gas equation of state
if we assume volume additivity
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),
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
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