Introduction to Chemical Reaction Engineering
Aims:
To introduce and develop an understanding of reaction rate kinetics and the
application of this understanding to the design of a chemical reactor.
L
School of Chemical Engineering & Analytical
Science
Monday 19th September 2016
Welcome To CEAS
PRESENTATION TOPICS
Introductions
Your Surroundings
Welcome Week & General Info
Working in Partnershi
Psychometric Tests
A closer
What are they?
Who uses them?
Some specimen questions
Does practising help?
Your questions
Frequently asked questions
Ive been told there will be a test, what is it l
CHEN 10112T
1 hour and 30 minutes
THE UNIVERSITY OF MANCHESTER
Introduction to Chemical Reaction Engineering
[Date of Examination]
[Time of Examination]
ANSWER ALL QUESTIONS.
Calculators may be used i
1. Abstract/summary
Regarding to the experiment objectives, which is to conduct the simple experiments
regarding liquid-liquid extraction and to determine the distribution of coefficient and mass
tran
First Block
Group with 4
students per
group
A
Wk 2 Wk/C 3rd Oct
Tues
Thurs
Second Block
B
Wk 3
Tues
C
Wk 4
Thurs
Tues
A (No Labs Wk 6, Reading Week)
Wk 5
Wk 7
Thurs
Tues
Thurs
Tues
B
C
Wk 8
Thurs
Tues
First, some quick tips
Aim to travel light. You're moving into a small room with very limited cupboard space and you'll be moving out again in June. One large suitcase of clothes, a couple of boxes
of
Some precautions:
=> Experiments involving poisonous gases like Nitrogen DIOXIDE, Ammonia and Bromine -> Carry out
the exp. in Fume Cupboard or in a well Ventilated Room.
=> Experiments involving heat
The experiment of designing and constructing a pipeline was carried out with a colleague. The aims
of the experiment is to
able to transport the fluid with minimal leakage
keep the design simple and c
Hydrodynamics absorption column
(From Coulson and Richardson's Chemical Engineering Volume 6 - Chemical Engineering
Design, 2005)
Packed towers are used for bringing two phases in contact with one ano
2M1 Q-stream (Matthias Heil, School of Mathematics, Univ. of Manchester)
2
5
Functions of multiple [two] variables
In many applications in science and engineering, a function of interest depends on mu
2M1 Q-stream: SOLUTIONS
1
I
1. Partial derivatives
(a) f (x, y) = x2 2xy + 6x 2y + 1 :
f
= 2x 2y + 6
x
f
= 2x 2
y
2f
=2
x2
2f
2f
=
= 2
xy
yx
2f
=0
y 2
(b) f (x, y) = exp(xy):
f
= y exp(xy)
x
f
= x exp
2M1 Q-stream (Matthias Heil, School of Mathematics, Univ. of Manchester)
4
13
Reminder: Ordinary dierential equations (ODEs)
Ordinary dierential equations (ODEs) are equations that relate the value o
2M1 Q-stream: SOLUTIONS
1
II
1. Solution of PDEs by inspection
(a) To verify that the function u(x, y) = x y is a solution of the
PDE
u u
+
= 0.
x y
we form the required partial derivatives
u
=1
x
and
2M1 Q-stream (Matthias Heil, School of Mathematics, Univ. of Manchester)
5.5
20
Solution of PDEs by separation of variables: Standing waves
One of the most powerful methods for the solution of PDEs is
2M1 Q-stream (Matthias Heil, School of Mathematics, Univ. of Manchester)
5
15
Partial dierential equations (PDEs)
Partial dierential equations (PDEs) are functions that relate the value of an unknown
Lecture Notes for 2M1 Q-Stream
Prof Matthias Heil
School of Mathematics
University of Manchester
[email protected]
Course webpage:
http:/www.maths.man.ac.uk/~ mheil/Lectures/2M1
Note:
This part
2M1 Q-stream: EXAMPLE SHEET1 II
1. Solution of PDEs by inspection
(a) Show that the function u(x, y) = x y is a solution of the PDE
u u
+
= 0.
x y
(b) Show that u(x, t) = sin(x + t) + cos(x t) is a so
2M1 Q-stream: EXAMPLE SHEET1 I
1. Partial derivatives
Find the partial derivatives f /x, f /y, 2 f /x2 , 2 f /y 2 and
2 f /(xy) for the following functions:
(a) f (x, y) = x2 2xy + 6x 2y + 1
(b) f (x