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Posts Tagged ‘numerical methods’

Unsteady Heat Flow in a Slab – Simple Parabolic Partial Differential Equation (PDE)

Reference: This is from E.M. Rosen and R. N. Adams, “A Review of Spreadsheet Usage in Chemical Engineering Calculations”, Computers and Chemical Engineering, Vol. 11, No. 6, pp. 723-736, but they took it from Carnahan, Luther and Wilkes, “Applied Numerical Methods”, Wiley NY 1969 pg 434.  Very similar to an earlier problem that we did […]

Fitting Polynomials and Correlation Equations to Vapor Pressure Data – Problem Description

Reference: This is Problem 3 in the ASEE 1997 problem set.   We will be fitting vapor pressure data for benzene to  a polynomial and then to a couple of correlating equations. Concepts: Put the data into arrays so that we can work with it Use Ipython with Scite editor to edit and save files Import […]

Dynamics of a Heated Tank with Proportional/Integral (PI) Control – Problem Description

Reference: This is problem 10 from an article  “A Collection of Representative Problems in Chemical Engineering for Solution by Numerical Methods”.  These problems came from Session 12 of the ASEE Chemical Engineering Summer School held in Snowbird, Utah in 1997.  In this problem, you will be modeling the temperature of a tank heated with a […]

Reversible, Exothermic, Gas Phase Reaction in a Catalytic Reactor – Problem Description

Reference: This is problem 8.24 in “Problem Solving in Chemical Engineering with Numerical Methods” by Michael Cutlip and Mordecai Shacham, Prentice-Hall ISBN 0-13-862566-2.  In this problem, you will be designing a gas phase catalytic reactor with a pressure drop to accomplish a reversible gas phase reaction. Concepts: Solve a system of ordinary differential equations with […]

Steady-State Material Balances on a Separation Train – Problem Description

Reference: This is problem 1.5 in "Problem Solving in Chemical Engineering with Numerical Methods" by Michael Cutlip and Mordecai Shacham, Prentice-Hall ISBN 0-13-862566-2.  This problem is about solving the material balance for a set of three distillation columns with a feed containing four components.  Since you’re at steady state with no recycle, you have a […]