chemical engineering mathematics lectures

7/27/2019 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

Engr. I. I. Cheema

1st Week 2

Weekly Contact Hours

Theory 3

Practical 3

Chemical Engineering Mathematics (Ch. E 304)


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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.

1st Week 4Chemical Engineering Mathematics (Ch. E 304)


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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

Engr. I. I. Cheema

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.

Engr. I. I. Cheema

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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Technique and TechnologyManual Computer

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Chemical Engineers Tools of Trade

1960s

9Chemical Engineering Mathematics (Ch. E 304)

First Milestones of Computer

Use for Problem Solving 1980s

1st Week


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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.

12Chemical Engineering Mathematics (Ch. E 304)1st Week


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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.

Engr. I. I. Cheema

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

Engr. I. I. Cheema

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.

Engr. I. I. Cheema

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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chemical engineering mathematics lectures