ASEE Chemical Engineering Division Summer School 2007

Recent Advances in Chemical Engineering Problem Solving

Mordechai Shacham, Dept. of Chemical Engineering, Ben-Gurion University of the Negev, Beer-Sheva, 84105, Israel

Michael B. Cutlip, Dept. of Chemical Engineering, University of Connecticut, U-3222, Storrs, CT 06269-3222

 

Workshop Instructions:  Please click on the PDF document link to view the PowerPoint presentation for the Introduction and for each particular Example Problem.  The files can be downloaded and saved with a right mouse click from the links given in each problem.  A left mouse click should open the problem in both Polymath (.pol files) and EXCEL (.XLS files) if these software packages are available on your computer. 

 

Subject

Duration

Presenter

Introduction

PDFH

Historical Perspective on Numerical Problem Solving

20 min

Shacham

Introduction

POLYMATH

10 min Cutlip

Example 1

PDF1

Molar Volume and Compressibility Factor from Redlich-Kwong Equation (Prob 4.1)*

Sequential Calculations with POLYMATH and Excel, Parametric Studies with Excel

Files: Example1_A.POL  Example1_B1.XLS   Example1_B2.XLS

20 min

Cutlip

Example 2

PDF2

Calculation of the Flow Rate in A Pipeline (Prob. 5.2)*

Solution of a Single Nonlinear (Implicit) Algebraic Equation with POLYMATH and MATLAB, Parametric Studies with MATLAB

Files: Example2_A.POL   Example2_B1.m   Example2_B2.m

- Use right mouse click to save MATLAB file.

20 min

Shacham

Example 3

PDF3

Regression of Data ("Heat of Hardening" - Polymath Regression Example 4)

Correlation of the Physical Properties of Ethane (Prob. 4.4)*

Multiple Linear, Polynomial and Nonlinear Regression with Statistical Analysis

Files: PolymathRegressionExample4.pol    CpEthane.pol   VPEthane.pol   WagnerEq.pol

25 min

Shacham

Example 4

PDF4

Adiabatic Operation of a Tubular Reactor for Cracking of Acetone (Prob. 4.3)*

Solution of a System of ODEs with POLYMATH and Excel, Parametric Studies with Excel

Files: Example-4.POL   Example-4.xls

15 min

Cutlip

Example 5

PDF5

Complex Chemical Equilibrium (Probs. 6.6 and 7.13)*

Solution of a System of Nonlinear Algebraic Equations (NLE) with POLYMATH and MATLAB, Parametric Studies with MATLAB

Files: Example5A.pol   Example5B.pol   Example5B.m   Example5C.pol

- Use right mouse click to save MATLAB file

? min

Shacham

Example 6

PDF6

Simultaneous Multicomponent Diffusion of Gases (Prob. 10.8) 

Solution of a System of ODEs with POLYMATH and MATLAB, Boundary Value Iterations with MATLAB

Files: Example6.pol   MultDiffusA.m   MultDiffusB.m

- Use right mouse click to save MATLAB file.

? min

Shacham 

Misc.

Problems

PDFmisc

Brief Review of Problem Types not Discussed in Detail:

Stiff ODEs, DAEs, PDEs, Parameter Estimation, Nonlinear Programming, Multiple Model Multiple Algorithm Problems

? min

Shacham

Summary

Conclusions and Discussion

5 min

 

 

*Cutlip, M. B. and Shacham, M., Problem Solving in Chemical and Biochemical Engineering with Polymath, Excel, and MATLAB, 2nd ed., Englewood Cliffs, NJ: Prentice Hall, 2007.