chemical engineering mathematics lectures

Engr.. I. I. Cheema Engr

Chemical Engineering Mathematics Mathematics (Ch. (Ch. E – 30 304) 4) 1st Week

Chemical Engineering Mathematics (Ch. E – 304)

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Engr.. I. I. Cheema Engr

Cred Cr edit it Ho Hour urss

Theory

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Practical

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Wee eekly kly Con Conta tact ct Hours Hours

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Theory

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Practical

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Chemical Engineering Mathematics (Ch. E – 304)

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Engr.. I. I. Cheema Engr

Time Ti me Tab able le

Theory

Tuesday (4-5)

Friday (1)

Practical (Group – A)

Monday (3-5)

Practical (Group – B)

Wednesday (1-2)

Note:

Theo Theory ry Clas Classe ses: s: Prac Practi tica call Work: ork:

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Clas Classs Room oom Comp Comput uter er Labo Laborrator atory y

Chemical Engineering Mathematics (Ch. E – 304)

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Engr.. I. I. Cheema Engr

Introduction Engineers are fundamentally problem solvers, seeking to ach achieve some object ective or design amo among techn chnical, social economic, regulatory and environmental constraints.

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Chemical Engineering Mathematics (Ch. E – 304)

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Engr.. I. I. Cheema Engr

What Chemical Engineers Do? Chemical Engineers design materials and the processes by which materials are made. Traditionally:

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Petroleum Petroleum Industries

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Biotechnology

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Chemical Industries

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Environmental

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FMCGs

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Foods

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Microelectronics

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Pharmaceuticals

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Polymer Processing

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Engr.. I. I. Cheema Engr

Core Core Subjects The core subjects that underlie and unify this broad field are are Ther Thermo mody dyna nami mics cs,, Chem Chemic ical al React eactiion Proc Proces esse ses, s, Transport Processes and Process Dynamics and Control. On top of this fundamental framework, a central emphasis of Chemical Engineering education is model building and analysis.

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Engr.. I. I. Cheema Engr

Core Core Subjects (Continued from previous slide)

Good Chemical Engineers bring together the fundamentals to build a model of a process that will help them understand understand and optimize optimize its performance. To be good at model building and analysis, students must 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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Engr.. I. I. Cheema Engr

Problem Solving in Chemical Engineering

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Engr.. I. I. Cheema Engr

Technique and Technology Manual

Computer

Chemical Engineer Enginee r ’s Tools Tools of o f Trade Trade

First Milestones of Computer Use for Problem Solving – 1980’s

1960’s 1st Week

Chemical Engineering Mathematics (Ch. E – 304)

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Engr.. I. I. Cheema Engr

Why Wh y should I learn to do it manually? •

Sense of form of mathematical expressions. expressions.

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Understanding Understanding of what manipulations are.

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Fluency in the language of mathematical concepts.

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Appreciation and recognition of mathematical rigor.

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Discipline, maturity, confidence of mastery.

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Recognition Recognition of limitations, limitations, where where things get difficult.

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Knowledge of what computers do.

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Chemical Engineering Mathematics (Ch. E – 304)

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Engr.. I. I. Cheema Engr

Why should I learn to do it by computer? •

Solution of complex problems.

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Exploration Exploration of solution and design space.

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Visualization.

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Relief from tedium.

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Confidence in results derived by hand.

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Engr.. I. I. Cheema Engr

Shortcomings Manual and Graphical •

Tedi edious, time consumin ming error prone process.

Computer Language •

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to wrong results. Highest precision decimal digits. Time ime cons onstrai train nts scr screeni eening ng of lar large of alt altern ernatives to optimal solution.

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is two prevent ent numb number er fin find an

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Requires experts in programming, numerical . Requires memorize commands and syntax syntax rules. Tedi edious ous, time consuming error prone process.

Chemical Engineering Mathematics (Ch. E – 304)

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Engr.. I. I. Cheema Engr

Programming and Problems? •

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Most engineering students find it very difficult to learn programming. In practice very few of them do any programming programming after finishing the course. Learning programming is similar to learning to speak a new language. The student has to memorize commands (new words) and must learn syntax syntax (grammar) rules. It is more difficult to start programming than to start speaking a new language because the computer has zero tolerance to programming errors. There is usually a scheduling conflict. Programming is learned before the student encounters any problems that really require programming. Consequently, most students loose motivation and interest. interest.

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Engr.. I. I. Cheema Engr

Objective of this Laboratory •

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Replace the traditional Programming Introduction to Personal Computer courses.

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Enable the students to formulate engineering 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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Engr.. I. I. Cheema Engr

Engineering Education Education Mathematical Software Packages Packages •

Excel®

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MAPLE™

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MATHCAD®

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MATLAB®

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Mathematica®

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POLYMATH™

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Engr.. I. I. Cheema Engr

Why Excel? Spreadsheets are the computational tools most widely used by Chemical Engineers. Providing the capability for nume numeri riccal prob proble lem m solv solvin ing g ext xten ends ds cons consid ider erab ably ly the the .

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Engr.. I. I. Cheema Engr

Why MATLAB? MATL MATLAB AB is a powe powerf rful ul code code-b -bas ased ed math mathem emat atic ical al and and engineering calculation program. It performs all calc alculations using mat matrices and and vect ectors ors in a logical programming environment.

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Engr.. I. I. Cheema Engr

Why POLYMATH? The mathematical model can be much easier and faster coded oded and and debu debugg gged ed usin using g pol polyma ymath. th. The The pol polyma ymath model serves as basis for the spreadsheet model where . also serves as an easy to understand documentation of  the model.

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Engr.. I. I. Cheema Engr

Limitations of Individual Packages The Problem Solving Environment options were added in a late stage of development. Thus the problem speci specifi fica cati tion on (usin (using g cell cell addre address sses es inste instead ad of varia ariabl ble e problem statement is hard to understand.

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Engr.. I. I. Cheema Engr

Limitations of Individual Packages Like other programm amming languages, it is the user’s er’s responsibility to take care of many technical details of  the solution that can be more efficiently done by the computer (like arranging the equations in the calculation order). The error messages may not be clear enough for a novice user.

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Engr.. I. I. Cheema Engr

Limitations of Individual Packages The easiness of use and user friendliness dictate a fixed set of capabilities and options. When a particular problem does not fit into the options provided, repeat eated manu anual rerunn unning of the problem may may be necessary.

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Engr.. I. I. Cheema Engr

Recommendations Books: Michael B. Cutlip and Mordechai Shacham, Problem solving in Chem Chemic ical al and and Bioc Bioche hemi mica call Engi Engine neer erin ing, g, with with POL POLYMA YMATH, TH, Excel, and MATLAB, 2nd Ed., Prentice Hall (2008). Michael B. Cutlip and Mordechai Shacham, Problem solving in Chemical En ineerin with Numerical Methods 1st Ed. 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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