It Aint Over, till tis over

1
It Aint Over, till tis over
2
Of exams, marks and learning
3
Final Exam

• 1-2 Questions Derivation type.
• Mass, mole, and energy balance for steady-state
  and dynamic systems
• 1-2 Questions. Application of numerical method.
• 1 Question with sub-parts. Semi-Qualitative or
  Thinking-type questions

4
How it all started
The CHEE 222 JOURNEY
5
CHEE 222 KARANS TOP TEN LIST
CONCEPTS -- I wISH and I HOPE you will take
away from this course
6
Concept 1 Lumped and Distributed Parameter
Systems

• Lumped to distributed Space? I dont care about
  space. Time is all that matters, if at all.
• Distributed to lumped Trust ME, Time and Space
  both matter

Its all about TIME SPACE
7
Concept 2 Models/equations arise from
fundamental laws of conservation

• Energy is always conserved
• Mass is always conserved
• Moles of a species are not conserved moles of
  elements are.

8
Concept 3 Constitutive Relationships

• The Life of Balance Equations is not complete
  without constitutive relationships.
• Which of the following are examples of
  constitutive relationship
• Friction factor in laminar pipe flow f16/Re
• Rate of consumption of species A (rA) kCA
• Moles of gas in a tank nPV/RT

9
Concept 4 Dynamic, Steady-State and Equilibrium
Systems

• Dynamic System variables change with time
• Steady State System variables do not change with
  time

What can you tell me about steady-state and
equilibrium of the 2 systems?
10
Concept 4 MATRIX Is it for Real !
11
Concept 5 Jacobians

• Jacobian Definition
• A WILD ANIMAL
• Of, or, related to, or pertaining to JACOB
• Some stuff we were forced to learn in CHEE 222
• Jacobians are merely partial derivatives of a
  function with respect to state and design
  variables

?
12
Concept 6 Newtons Method
13
Concept 6 Newtons Method (not so heavy stuff)
14
Concept 7 Time Constant (t)

• For 1st-order linear ODE that can be expressed in
  the following form
• How fast the state variable responds to a step or
  pulse change in input variable is governed by
  process time constant?
• 5 t is the magic number. Is it really magic?

15
Concept 8 State-Space Formulation

• It aint linear but we sure can straighten that
  out Let me get a bit steady first

• State-space formulation allows us to predict the
  behavior of non-linear systems by linear
  approximation around steady-state conditions.

16
Concept 9 Stability

• It is steady but is it also stable?
• The answer my friend is rolling in Eigenvalues

l lt 0?
17
Concept 10 Laplace Transform

• The beauty of Laplace transform is that it
  allows differential equations to be converted to
  algebraic equations, which can be solved with
  relative ease
• - K. Karan
• circa 2nd millenium AD

18
One more thing
19
MATLAB can be our best buddy

• MATLAB functions you were exposed to
• det
• fzero
• roots
• fsolve
• ode23
• Ode45
• eig

Dr. Karan, I thought you might be pleased to
hear that some elements of your reaction
engineering class have had quite the lasting
impact.  I have spent more hours on MATLAB this
semester than I can keep track of and have
pronounced it my new best friend. . Secondly, I
credit having Fogler in my reference collection
to surviving my transport class this fall.  -
Ms. Meghan Palmer (Eng Chem, Sci 04) Ph.D.
Candidate, Massachusetts Institute of Technology
20
In fact, we even modeled Climate Change
21
Energy Effects
22
Emissions and CO2
23
Average CO2 Concentration
Prediction from Model (Filename globalwarm
Actual Data
24
Temperature Change
DT 1.1 K
DT 1.35 K
Prediction from Model (Filename globalwarm
Actual Data
25
Final ThoughtsLet all good things come to an
end
26
FINAL EXAM
Mid-Term
27
FIN