Student Records
Programme & Unit Catalogues

Owning Department/School: Department of Chemical Engineering
Credits: 6
Level: Masters UG & PG (FHEQ level 7)
Period: Semester 1
Assessment Summary: CW 70%, EX 30%
Assessment Detail:
• Mathematical Modelling 1 (CW 15%)
• Computing with MATLAB 1 (CW 10%)
• Computing with MATLAB 2 (CW 10%)
• Mathematical Modelling 2 (CW 35%)
• Examination (EX 30%)
Supplementary Assessment: Like-for-like reassessment (where allowed by programme regulations)
Requisites:
Description: Aims:
To provide students with an ability to formulate mathematical models of steady-state and dynamic systems typical of chemical processing as systems of differential equation and to solve these models numerically using MATLAB (numerical computing software).

Learning Outcomes:
After successfully completing this unit the student should be able to:
* formulate mathematical models for homogeneous and heterogeneous systems which describe steady-state or dynamic chemical engineering processes;
* implement suitable initial and boundary conditions;
* choose and apply numerical methods for the solution of differential equations of both Initial and Boundary Value Problems;
* use the concept of numerical stability to analyse step-size;
* apply finite difference methods to solve 2nd order differential equations and time dependent partial differential equations;
* construct MATLAB programmes to apply various numerical methods to solve formulated mathematical models.

Skills:
Formulating model equations, application of numerical methods, confidence in computational programming, problem solving. Taught/facilitated and assessed.

Content:

* Numerical solution methods of ordinary and partial differential equations involving physical initial and boundary conditions, discussion of stability;
* Linear and non-linear solutions by finite difference methods;
* Application of the numerical techniques into MATLAB programmes;
* Simulation / modelling examples:
- Modelling of a non-isothermal plug flow reactor;
- Complex reaction sequences in a batch reactor;
- Heat conduction and convection through a rod;
- Heterogeneous catalysis in slab, spherical or cylindrical geometry with non-linear kinetics in a tubular reactor e.g. a catalytic converter.
Programme availability:

#### XX40175 is Compulsory on the following programmes:

Department of Chemical Engineering
• UECE-AFM01 : MEng(Hons) Biochemical Engineering (Year 3)
• UECE-AKM01 : MEng(Hons) Biochemical Engineering with Year long work placement (Year 3)
• UECE-AFM05 : MEng(Hons) Chemical Engineering (Year 3)
• UECE-AKM05 : MEng(Hons) Chemical Engineering with Year long work placement (Year 3)

#### XX40175 is Optional on the following programmes:

Department of Chemical Engineering
• UECE-AFB05 : BEng(Hons) Chemical Engineering (Year 3)
• UECE-AKB05 : BEng(Hons) Chemical Engineering with Year long work placement (Year 4)

Notes:
* This unit catalogue is applicable for the 2015/16 academic year only. Students continuing their studies into 2016/17 and beyond should not assume that this unit will be available in future years in the format displayed here for 2015/16.
* Programmes and units are subject to change at any time, in accordance with normal University procedures.
* Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.