chemical engineering mathematics lectures
Transcript of chemical engineering mathematics lectures
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Engr. I. I. Cheema
Chemical Engineering Mathematics(Ch. E 304)
1st Week Chemical Engineering Mathematics (Ch. E 304) 1
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Credit Hours
Theory 3
Practical 1
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1st Week 2
Weekly Contact Hours
Theory 3
Practical 3
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Time Table
Theory Tuesday
(4-5)
Friday
(1)Practical
(Group A)
Monday
(3-5)
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3
Practical(Group B)
Wednesday(1-2)
Note:
Theory Classes: Class Room
Practical Work: Computer Laboratory
1st Week Chemical Engineering Mathematics (Ch. E 304)
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Introduction
Engineers are fundamentally problem solvers, seeking toachieve some objective or design among technical,
social economic, regulatory and environmental
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constraints.
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What Chemical Engineers Do?Chemical Engineers design materials and the processes by which
materials are made.
Traditionally:
Petroleum Industries
Recently:
Biotechnology
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Chemical Industries
Environmental FMCGs
Foods
Microelectronics Pharmaceuticals
Polymer Processing
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Core SubjectsThe core subjects that underlie and unify this broad field
are Thermodynamics, Chemical Reaction Processes,Transport Processes and Process Dynamics and Control.
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On top of this fundamental framework, a centralemphasis of Chemical Engineering education is model
building and analysis.
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Core SubjectsGood Chemical Engineers bring together the
fundamentals to build a model of a process that willhelp them understand and optimize its performance.
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(Continued from previous slide)
To be good at model building and analysis, studentsmust have the mathematical background to understand
and work with the core scientific areas, as well as to find
solutions to the final model that they build.
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Problem Solving in Chemical Engineering
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1st Week 8Chemical Engineering Mathematics (Ch. E 304)
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Technique and TechnologyManual Computer
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Chemical Engineers Tools of Trade
1960s
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First Milestones of Computer
Use for Problem Solving 1980s
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Why should I learn to do it manually?
Sense of form of mathematical expressions. Understanding of what manipulations are.
Fluency in the language of mathematical concepts.
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Appreciation and recognition of mathematical rigor.
Discipline, maturity, confidence of mastery.
Recognition of limitations, where things get difficult.
Knowledge of what computers do.
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Why should I learn to do it by computer?
Solution of complex problems. Exploration of solution and design space.
Visualization.
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Relief from tedium.
Confidence in results derived by hand.
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Shortcomings
Manual and Graphical
Tedious, time consumingerror prone process.
Computer Language
Requires experts in
programming, numerical
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to wrong results. Highest precision is two
decimal digits.
Time constraints preventscreening of large numberof alternatives to find anoptimal solution.
.
Requires memorize
commands and syntax rules.
Tedious, time consuming
error prone process.
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Programming and Problems? Most engineering students find it very difficult to learnprogramming. In practice very few of them do anyprogramming after finishing the course.
Learning programming is similar to learning to speak anew language. The student has to memorize commands(new words) and must learn syntax (grammar) rules.
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It is more difficult to start programming than to startspeaking a new language because the computer has zerotolerance to programming errors.
There is usually a scheduling conflict. Programming islearned before the student encounters any problems thatreally require programming. Consequently, moststudents loose motivation and interest.
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Objective of this Laboratory Replace the traditional Programming and
Introduction to Personal Computer courses.
Enable the students to formulate engineering
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pro ems as ma ema ca mo e s.
Enable the students to solve the resultant
mathematical models using Excel, MATLAB and
POLYMATH.
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Engineering EducationMathematical Software Packages
Excel
MAPLE
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MATHCAD
MATLAB
Mathematica POLYMATH
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Why Excel?
Spreadsheets are the computational tools most widely
used by Chemical Engineers. Providing the capability for
numerical problem solving extends considerably the
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.
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Why POLYMATH?The mathematical model can be much easier and faster
coded and debugged using polymath. The polymath
model serves as basis for the spreadsheet model where
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.
also serves as an easy to understand documentation of
the model.
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Limitations of Individual PackagesThe Problem Solving Environment options were added
in a late stage of development. Thus the problem
specification (using cell addresses instead of variable
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problem statement is hard to understand.
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Limitations of Individual PackagesLike other programming languages, it is the users
responsibility to take care of many technical details ofthe solution that can be more efficiently done by the
computer (like arranging the equations in the
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calculation order). The error messages may not be clearenough for a novice user.
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Limitations of Individual PackagesThe easiness of use and user friendliness dictate a fixed
set of capabilities and options. When a particularproblem does not fit into the options provided,
repeated manual rerunning of the problem may be
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necessary.
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RecommendationsBooks:
Michael B. Cutlip and Mordechai Shacham, Problem solving in
Chemical and Biochemical Engineering, with POLYMATH,Excel, and MATLAB, 2nd Ed., Prentice Hall (2008).
Michael B. Cutlip and Mordechai Shacham, Problem solving inChemical En ineerin with Numerical Methods 1st Ed.
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Prentice Hall (1999). James A. Carnell, MATLAB Applications in Chemical
Engineering, North Carolins State University.
Websites:
office.microsoft.com/excel
www.mathworks.com
www.polymath-software.com
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