N order linear ordinary
differential equations
th
Dr Francisco J. Trujillo
School of Chemical Engineering
UNSW
nth Order ODEs
or n 1st order ODEs
We will focus on 2nd order ODE because
chemical engineering problems rarely exceed 2nd
order ODE. However, th
Formulation of mathematical
models
Francisco Trujillo
CEIC3000 Process modelling and
Analysis
What is mathematical modelling
Is a form of imitating nature in mathematical terms.
Modelling is an attempt to reproduce the details of reality.
If the model
1
ST
ORDER NONLINEAR
ODEs
Dr Francisco J. Trujillo
School of Chemical Engineering
UNSW
This first part is background information. It is
a review from your course in mathematics
Differential equations
A differential equation is an equation
involving an unk
Linear differential equations
with variable coefficients
Dr Francisco J. Trujillo
School of Chemical Engineering
UNSW
Some common integral functions
The error Function
x
2
2
erf x
e d
0
(7.1)
This integral function
occurs often in probability
theory, a
Couple simultaneous ODE
Dr Francisco J. Trujillo
School of Chemical Engineering
UNSW
Couple simultaneous ODE
Solving a couple of simultaneous ODEs is an
advanced mathematical topic.
However, there are useful and simpler
methods to treat simultaneous ODE
SOLUTION METHODS FOR SECOND
ORDER NONLINEAR EQUATIONS
2nd Order ODEs
2nd order nonlinear ODEs generally have no analytical (closed form)
solutions and numerical solutions are often sought.
There are, however, some cases where reductions to linear ODEs
a
CHEN6703
Advanced Particle Systems
! Major Topics
!
!
!
!
!
Colloid and Surface Science
Emulsion and Soft Particles
Particle Characterization
Nanoparticles
Advanced Particle Applications
1
Introduction to Colloid and
Surface Chemistry
Topics
! What are co
Newtons method to solve a system
of non-linear algebraic equations
Dr Francisco J. Trujillo
School of Chemical Engineering
UNSW
Newtons method for a single equation
The Newton's method (or the NewtonRaphson method), is a
numerical technique for finding it
CHEN6706 TUTORIAL WEEK 2
HEAT CONDUCTION TUTORIAL 2
PROBLEM 1
Consider a slab with thermal conductivity k and uniformly distributed heat source Q (Wm-3).
One surface (x = 0) is at temperature TA and the other (x = D) is at TB. Write down the
appropriate P
School of Chemical Engineering
CHEN 6703 Advanced Particle Systems Engineering
Assignment Title: Rapid
Expansion of Supercritical
Solution (RESS)
Fiona Lee Yen Yin - z3324655
Mingchen Sun z3327686
Ruijie Xie z
5. Costing
The costing is excluding the cost of land, buildings and employments. A more detailed report is required to estimate the overall cost. The
table below presents the estimated cost for all the equipments and
School of Chemical Engineering
CHEN 6703 Advanced Particle Systems Engineering
Assignment Title: Rapid
Expansion of Supercritical
Solution (RESS)
Fiona Lee Yen Yin - z3324655
Mingchen Sun z3327686
Ruijie Xie z3325323
David Yujian Huang - z3330915
Abstract
1
Figure 1 shows a flow sheet of a typical RESS experiment.
The Rapid Expansion of Supercritical Solutions (RESS) consists of the saturation of the supercritical fluid (SC-CO2) with a
solid substrate. Then, the depressurization of the solution through a h
2.Lmitations
The main influential limitations throughout the RESS operation is the soluble particle
content which has to be achieved in the interactions with the supercritical carbon
dioxide liquid. Insignificantly due to the natural properties of many co
The expected outcome which discussed in this article is nano sized resveratrol. Resveratrol is a
polyphenolic compound which can be found in many fruits such as grape, especially in grape
skin. The reported abundance of resveratrol in grape is range from
Introduction
Antioxidants are broadly applied as anti-aging supplement for health, cosmetics and
diet purposes. The contemporary market is filled with various species and tends to be
competitive because these products can be extracted form bountiful natur
7. Conclusion
In conclusion, a nutshell, nano-sized resveratrol is the future trends in dietary
supplement industries, which has merits over normal sized antioxidants that is more
efficient, preservative and can satisfies
Rapid Expansion of Supercritical Solvents (RESS)
Summary
Resveratrol dominates considerable market value in dietary supplement industry,
however the shelf life of it is vitally disturbing manufacturers. Fortunately,
scientists found that nano-sized resver
96 8
PROCEEDINGS OF THE IEEE, VOL. 69, NO. 8, AUGUST 1981
Safety and Environmental Issues of Fusion
Reactors
JIMMY G. CROCKER
AND
DOUGLAS F. HOLLAND
Invited Paper
AZmmct-This paper reviews thesafety and environmental issues
asmciated with magnetic fuaion
A Green Process for Preparing Silver
Nanoparticles Using Spinning Disk Reactor
Clifford Y. Tai, Yao-Hsuan Wang, and Hwai-Shen Liu
Dept. of Chemical Engineering, National Taiwan University, Taipei, Taiwan, 10617
DOI 10.1002/aic.11396
Published online Decem
Family Nam
Given Name
Abdul Halim
Dang
Abdullah Bawadi
Al Jaara Ali
Alenazey Feraih
ArcidiaconoAlfio
Arcotumap Viswanathan
Asrar
Hassan
Azhar
Hazeril
Bialous
Michael
Bustamante
Andrea
Chak
Ting-Kong
Chan
Matthew
Chaudhary Anishkar
Cheung
Cheuk
Chew
Chee
C