The document provides an introduction to using MATLAB for chemical engineering applications. It discusses that MATLAB makes tasks like solving linear algebra problems, ordinary differential equations, and numerical analysis easier through its built-in functions and programming capabilities. It then covers several key topics in MATLAB including using it to work with polynomials, solve ODEs, and use the Simulink block diagram environment to model dynamic systems. The document emphasizes that learning to program in MATLAB is an important skill that will benefit engineers in their work and career.

1. Matlab For
Chemical
Engineers

2. • To learn to program is to be initiated into an
entirely new way of thinking about engineering,
mathematics, and the world in general.
Computation is integral to all modern
engineering disciplines. The better you are at
programming, the better you will be in your
chosen field.
Aaron R. Bradley

4. Matlab
Sketch up
C/C++Web Dev.
Java.Script
Python

5. • What is matlab?
• MATLAB  Stands for MATrix LABoratory
• Was created by a person named as Cleve Moller at
the Stanford University in 1970s.
• MATLAB Makes….
1. Linear algebra
2. ODEs
3. Numerical analysis
4. And a lot more… a lot easier...
• WHAT ELSE?
• One word  Simulations

6. Agenda
Why
Matlab
Polynomials
ODEs In
Matlab
Symbolic Simulink
Concluding
Remarks

7. Why
Matlab
Polynomials
ODEs In
Matlab
Symbolic Simulink
Concluding
Remarks

9. Quiver plot of gas behavior in a
thrust-vector device.
Three-dimensional visualization of
MRI data, based on the sample data
set included with MATLAB ® .

10. The sine function plotted in
polar coordinates is a circle.
Cyclone Plot.

11. • We consider a matrix A…
• We equate it with B…
• We want to find matrix X…
• We know A*X = B
• Hence inverse(A)*B = X
Linear Stuff

12. Why Matlab
Polynomial
s
ODEs In
Matlab
Symbolic Simulink
Concluding
Remarks

13. • Polynomials
• Polynomials are variables with co-efficient
joined via mathematical operators having a
certain degree ‘n’.
• ax^3 +bx^2 +cx + d
• In Matlab polynomials can be written in the form
of row matrices.
• P = [1,0,-2] represents the polynomial x^2 -2.
Similarly.
• P = [2,0,0,0] represents the polynomial 2x^3.

14. • Polynomials
• The function polyval simply gives the value of the
polynomial at certain values fed to it.
• For example p=3x^2+2*x+1 can be written as
p = [3 2 1] in Matlab.
• Type command q = polyval(p,[5 7 9])
• Then disp(q)
• We get 86, 162, 262

15. • Polynomials
• MATLAB makes it very easy to fit polynomials to
data.
• Given data vector x = -4:0.1:4
• y = x.^2 is your polynomial…
• P = polyfit (x , y , 2);
• Finds the best second order polynomial that fits
the points between -4:0.1:4

17. Must/Should Be Named
After The File Name

18. Must/Should Be Named
After The File Name

21. Why Matlab Polynomials
ODEs In
Matlab
Symblolic Simulink
Concluding
Remarks

22. • Differential Equation
• A differential equation is a mathematical
equation that relates some function with its
derivatives. In applications, the functions
usually represent physical quantities, the
derivatives represent their rates of change,
and the equation defines a relationship
between the two.

23. • Given a differential equation, the solution can be
found by integration.
• Evaluate the derivative at a point and
approximate by straight line
• Errors accumulate!
• Variable time step can decrease the number of
iterations

24. • ODE Solvers  MATLAB
• MATLAB contains implementations of common
ODE solvers. Using the correct ODE solver can
save you lots of time and give more accurate
results.
• Ode23Low-order solver. Use when integrating
over small intervals or when accuracy is less
important than speed.
• Ode45High order (Runge-Kutta) solver. High
accuracy and reasonable speed. Most commonly
used.
• Ode15sStiff ODE solver (Gear's algorithm), use
when the diff equations have time constants that
vary by orders of magnitude.

25. • To use standard options and variable time step
• [ t , y ] = ode45 (‘rateFunc', [0,10] , [1;0])
• Inputs: ODE function name (or anonymous
function). This function takes inputs ( t , y ) and
returns dy/dt.
• Time interval: 2-element vector specifying
initial and final time  basically range/limit of
the independent variable.
• Initial conditions: Column vector with an
initial condition for each ODE. This is the first
input to the ODE function.
• Outputs: t contains the time points and y
contains the corresponding values of the
integrated variables.

26. • Use ode45 to solve for on the range t=[0 10], with
initial condition and… Plot the result. Make
function
• function dy_dt = funcODE ( t , y )
• dy_dt = -t*y/10;
• Integrate the ODE function and plot the result
• [ t , y ] = ode45 (@funcODE , [0 10] , 10);
• OR… You can use an anonymous function…
• [ t , y ] = ode45 (@ ( t , y ) –t*y/10,[0 10],10) ;
• Plot the result
• Plot ( t , y ) ;

29. Multiple ODEs

31. Why Matlab Polynomials
ODEs In
Matlab
Symbolic Simulink
Concluding
Remarks

34. • D:SemestersSemester 1 + Some BooksMatlabmatlab
for engineers.pdf#page=438

36. 1
2
3
4
5
6
7
8
9
1
0

37. • D:SemestersSemester 5Mass TransferSolution
Manual - Coulson Chemical Engineering (Volume 2 &
3).pdf#page=120

38. • Using MATLAB ® for the first time is easy;
mastering it can take years.

39. Why Matlab Polynomials
ODEs In
Matlab
Symbolic Simulink
Concluding
Remarks

40. • Simulink
• Designed for analyzing dynamic systems , i.e., systems
that change with time (Signals).
– But not limited to it.
– Similar mathematical equations describe the behavior of
dynamic mechanical systems, reactive chemical systems,
and dynamic fluid systems.
• Think of Simulink ® as a virtual analog computer.
• Another way of solving ODEs! (Dynamic Systems).

41. Leads To The Set Of Blocks That You Can Use In Your
Simulink Model

42. • Simulink Components
• In Simulink, a model is a collection of blocks which, in
general, represents a system. These are connected with
help of lines.
• Blocks are used to generate, modify, combine, output,
and display signals. Lines are used to transfer signals
from one block to another.
BLOCK
LINES

43. • D:SemestersSemester 6Instrument And
Processchemical_process_control_an_introduction_to_t
heory_and_practice.pdf#93

44. Why Matlab Polynomials
ODEs In
Matlab
Symbolic Simulink
Concluding
Remarks

45. • Why Not Just Excel It?
• Flexibility
– Core Skill
• Complexity
– Make Bits And Pieces Work In Larger Code
• Skill Portability
– Web
– Application Development
– Embedded With a Larger Development Team

47. Thanks Elon!