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CHEP8018 - Process Modelling

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Title:Process Modelling
Long Title:Process Modelling
Module Code:CHEP8018
 
Duration:1 Semester
Credits: 5
NFQ Level:Intermediate
Field of Study: Chemical & Process Eng
Valid From: Semester 1 - 2016/17 ( September 2016 )
Module Delivered in 1 programme(s)
Module Coordinator: NIALL MORRIS
Module Author: IAN O SULLIVAN
Module Description: This module introduces the student to methodologies by which complex chemical engineering situations can be solved by utilizing numerical techniques or appropriate solvers in Excel, Matlab or Maple.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Choose a suitable numerical method to solve defined chemical engineering problems
LO2 Interpret the results of numerical computations
LO3 Identify convergence problems and the limitations of numerical methods
LO4 Use available mathematical software to solve defined chemical engineering problems
Pre-requisite learning
Module Recommendations
This is prior learning (or a practical skill) that is strongly recommended before enrolment in this module. You may enrol in this module if you have not acquired the recommended learning but you will have considerable difficulty in passing (i.e. achieving the learning outcomes of) the module. While the prior learning is expressed as named CIT module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s).
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module. You may not earn additional credit for the same learning and therefore you may not enrol in this module if you have successfully completed any modules in the incompatible list.
No incompatible modules listed
Co-requisite Modules
No Co-requisite modules listed
Requirements

This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed. You may not enrol on this module if you have not acquired the learning specified in this section.

No requirements listed
 

Module Content & Assessment

Indicative Content
Number system and errors
Representation of real numbers on computer systems. Floating point arithmetic. Basic concepts of numerical errors:relative, absolute, inherent, trunction, round off. Error propagation in numerical computations
Solution of non linear equations
Iterative methods: linear iterations, bisection, secant, method, Newton-Raphston. Application to polynomial equations. Synthetic division. rates of convergence, complex roots.
Systems of equations
Elimination methods: Gaussian elimination, pivoting, ill-conditioned systems, Choleskys method, matrix inversion. Iterative methods: Gauss Siedel, Gauss-Jacobi, relaxation. Solution to non-linear systems using linear iteration and Newtons method
Interpolation
Polynomial forms. Lagrange form, newton form, newton gregory form difference tables, piecewise polynomials, Splines, Inverse interpolation
Numerical integration and differentiation
Numerical differentiation: forward, backward, centre difference approximations. Richardsons extrapolation. Numerical Integration: Mid point and gaussian quadrature
Differential equations
Initial value problems. Solution of first order equations by taylor series. Euler, predictor-corrector and Runge-Kutta methods. Multi step methods. Simple higher order equations and systems of first order equations.
Optimization
Search methods, steepest descent, Newtons method. Projection and penalty methods for constrained problems
Computer Laboratory
Utilization of suitable mathematical software to apply numerical methods to Chemical Engineering applications
Assessment Breakdown%
Course Work100.00%
Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Open-book Examination Examination on use of numerical techniques 1,2 20.0 Week 5
Project On-going development of portfolio of solutions to Chemical and Biochemical Engineering scenarios (small groups). 1,2,3,4 60.0 Every Second Week
Presentation Individual presentation of a solution to a Chemical and Biopharmaceutical Engineering problem. 1,2,3 20.0 Sem End
No End of Module Formal Examination
Reassessment Requirement
Coursework Only
This module is reassessed solely on the basis of re-submitted coursework. There is no repeat written examination.

The institute reserves the right to alter the nature and timings of assessment

 

Module Workload

Workload: Full Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture Lectures 2.0 Every Week 2.00
Lab Computer Lab 2.0 Every Week 2.00
Independent & Directed Learning (Non-contact) No Description 3.0 Every Week 3.00
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
This module has no Part Time workload.
 

Module Resources

Recommended Book Resources
  • Steven C. Chapra & Raymand P. Canale 2014, Numerical Methods for Engineers, 7th Ed., McGraw Hill [ISBN: 978-0073397924]
Supplementary Book Resources
  • Michael B. Cutlip & Mordechai Shacham 2008, Problem Solving in Chemical and Biochemical Engineering with POLYMATH, EXCEL and MATLAB, 2nd Ed., Prentice Hall [ISBN: 0-13-148-204-1]
This module does not have any article/paper resources
This module does not have any other resources
 

Module Delivered in

Programme Code Programme Semester Delivery
CR_ECPEN_8 Bachelor of Engineering (Honours) in Chemical and Biopharmaceutical Engineering 4 Elective

Cork Institute of Technology
Rossa Avenue, Bishopstown, Cork

Tel: 021-4326100     Fax: 021-4545343
Email: help@cit.edu.ie